Karenleigh A Overmann | University of Colorado at Colorado Springs (original) (raw)
Books by Karenleigh A Overmann
Cultural number systems: A sourcebook explains, among other topics, why Xerxes the First once cou... more Cultural number systems: A sourcebook explains, among other topics, why Xerxes the First once counted his army by having his men march through an enclosure big enough to hold 10,000 of them at a time, why the Hawaiian word for twenty means "nine and two," why irrational numbers were said to have driven an ancient Greek mathematician mad, and how old counting might be and how we might know this. Writing from the perspective of the material devices and behaviors used in numbers, Cultural number systems: A sourcebook recounts the most interesting and unusual cultural number systems that cognitive archaeologist Karenleigh A. Overmann has encountered in a decade's worth of research. Along the way, she describes things like dactylonomy, the ancient art of expressing and calculating numbers with the fingers; specified counting, the use of different counting sequences to count different types of objects; and the ephemeral abacus, strategies for counting that involve people and goods but not an actual device. The material is organized into six geographical areas-the ancient Near East, Africa, Europe, Asia/India, Oceania, and the Americas-each of which has six chapters covering one or more cultural number systems.
Cambridge University Press, 2023
This is a book about numbers—what they are as concepts and how and why they originate—as viewed t... more This is a book about numbers—what they are as concepts and how and why they originate—as viewed through the material devices used to represent and manipulate them. Fingers, tallies, tokens, and written notations, invented in both ancestral and contemporary societies, explain what numbers are, why they are the way they are, and how we get them. Cognitive archaeologist Karenleigh A. Overmann is the first to explore how material devices contribute to numerical thinking, initially by helping us to visualize and manipulate the perceptual experience of quantity that we share with other species. She explores how and why numbers are conceptualized and then elaborated, as well as the central role that material objects play in both processes. Overmann's volume thus offers a view of numerical cognition that is based on an alternative set of assumptions about numbers, their material component, and the nature of the human mind and thinking.
Oxford University Press, 2024
The Oxford Handbook of Cognitive Archaeology showcases the theories, methods, and accomplishments... more The Oxford Handbook of Cognitive Archaeology showcases the theories, methods, and accomplishments of archaeologists who investigate the human mind—its evolutionary development, its ideation (thoughts and beliefs), and its very nature—through material forms. The intellectual heart of cognitive archaeology is archaeology, the discipline that investigates the only direct evidence of the actions and decisions of prehistoric people. Its theories and methods are an eclectic mix of psychological, neuroscientific, paleoneurological, philosophical, anthropological, ethnographic, comparative, aesthetic, and experimental theories, methods, and models, united only by their focus on cognition. This volume encompasses the wide spectrum of the discipline, showcasing contributions from more than 50 established and emerging scholars from Europe, Africa, Asia, Australia, and the Americas. Prominent among these are contributions that discuss the epistemological frameworks of both the evolutionary and ideational approaches and the leading theories that ground interpretations. Significantly, the majority of chapters deliver substantive contributions that analyze specific examples of material culture, from the oldest known stone tools to ceramic and rock art traditions of the recent millennium. These examples include the gamut of methods and techniques, including typology, replication studies, chaînes operatoires, neuroarchaeology, ethnographic comparison, and the direct historical approach. The volume begins with retrospective essays by several of the pioneers of cognitive archaeology, presents a broad range of state-of-the-art investigations into cognitive abilities, tackles thorny issues like the cognitive status of Neandertals, and then concludes with speculative essays about the future of an archaeology of mind, and of the mind itself.
Ugarit-Verlag, 2021
A world without writing is hard to imagine, as it has become a regular feature of everyday life. ... more A world without writing is hard to imagine, as it has become a regular feature of everyday life. However, our Western alphabetic writing system is the outcome of a millennia-long evolution. What is more, this system is only one strand of the many possible shapes that scripts can assume. This volume explores the various shapes and potentialities of ancient Near Eastern writing systems: the relationship between language and writing; the influences and pragmatics that affect sign form, organization, meaning, and purpose; the techniques for and necessity of phonetic values; and the interplay of the cognitive processes, behaviors, and material forms in producing and interpreting writing. It also works as a means of reflecting on our own alphabetic writing system, in terms of its implicit rules and limits. Ranging in time from the mid-4th millennium BC to the middle of the 2nd millennium BC and distance from today’s Southern Iraq to the Anatolian mountains, the contributions explore how languages like Sumerian, Akkadian, Hurrian, Hittite, and Luwian were written, and how writing works without a specific linguistic referent. Part I focuses on signs, meanings, and language, while Part II concerns the pragmatics of signs and their production. Finally, Part III deals with the organization of lists, a prominent text genre in early writing. Cognitive processing in reading and writing is a pervasive theme, and indeed, the addition of neuroscientific findings to current interpretational methods and theories promises to yield exciting new insights into early writing systems.
Gorgias Press, 2019
The Material Origin of Numbers examines how number concepts are realized, represented, manipulate... more The Material Origin of Numbers examines how number concepts are realized, represented, manipulated, and elaborated. Utilizing the cognitive archaeological framework of Material Engagement Theory and culling data from disciplines including neuroscience, ethnography, linguistics, and archaeology, the work offers a methodologically rich study of numbers and number concepts in the ancient Near East from the late Upper Paleolithic Period through the Bronze Age. This project has received funding from the Clarendon Fund at the University of Oxford, as well as the European Union’s Horizon 2020 research and innovation program under grant agreement No. 785793.
Oxford University Press, 2019
Cognitive archaeology is a relatively new interdisciplinary science that uses cognitive and psych... more Cognitive archaeology is a relatively new interdisciplinary science that uses cognitive and psychological models to explain archeological artifacts like stone tools, figurines, and art. Squeezing Minds from Stones is a collection of essays from early pioneers in the field, like archaeologists Thomas Wynn and Iain Davidson, and evolutionary primatologist William McGrew, to 'up and coming' newcomers like Shelby Putt, Ceri Shipton, Mark Moore, James Cole, Natalie Uomini, and Lana Ruck. Their essays address a wide variety of cognitive archaeology topics, including the value of experimental archaeology, primate archaeology, the intent of ancient tool makers, and how they may have lived and thought.
Edited Special Journal Issue by Karenleigh A Overmann
Adaptive Behavior, 2021
This special issue of Adaptive Behavior focuses on 4E cognition (cognition as embodied, embedded,... more This special issue of Adaptive Behavior focuses on 4E cognition (cognition as embodied, embedded, enactive, and extended) in the Lower Palaeolithic. In the introductory essay, we review the typological and representational cognitive approaches that have dominated the past fifty years of paleoanthropology. These have assumed that all representations and computations take place only inside the head, which implies that the archaeological record can only be an “external” product or the behavioral trace of “internal” representational and computational processes. In comparison, the 4E approach helps us to overcome this dualist representational logic, allowing us to engage directly with the archaeological record as an integral part of the thinking process, and thus ground a more parsimonious cognitive archaeology. It also treats stone tools, the primary vestiges of hominin thinking, as active participants in mental life. The 4E approach offers a better grounding for understanding hominin technical expertise, a crucially important component of hominin cognitive evolution. The special issue contains eight articles by Lambros Malafouris, Karenleigh A. Overmann, Anna Barona, Hannah Mosley, Christopher Baber and Klint Janulis, Thomas Wynn, John Gowlett, and Frederick L. Coolidge. These articles arose out of a series of workshops held at Keble College, University of Oxford, between February 2018 and November 2019.
Pragmatics & Cognition, 2014
Special issue on creativity, cognition, and material culture, featuring articles by David Kirsh, ... more Special issue on creativity, cognition, and material culture, featuring articles by David Kirsh, Frédéric Vallée-Tourangeau, Thomas Wynn and Frederick L. Coolidge, Carl Knappett and Sander van der Leeuw, Chris Gosden, Maurice Bloch, Tim Ingold, Lambros Malafouris, and Kevin Warwick.
Articles by Karenleigh A Overmann
Cuneiform Digital Library Journal, 2024
I respond to P. McLaughlin and O. Schlaudt's critique of my analysis of the crosscultural origins... more I respond to P. McLaughlin and O. Schlaudt's critique of my analysis of the crosscultural origins of numbers, noting that my work draws extensively upon number systems as ethnographically attested around the globe, and thus is based only in part on the important Mesopotamian case study. I place the work of Peter Damerow in its historical context, noting its genesis in Piaget's genetic epistemology and the problems associated with applying Piaget's developmental theory to societies. While Piaget assumed numeracy involves invariant mental transformations, ongoing research in numerical cognition has been largely unsuccessful in identifying specific brain-bound mechanisms for numerical structure. Accordingly, I suggest the extended mind paradigm from the philosophy of mind may be a more fruitful approach, and detail such an approach using Material Engagement Theory.
Cambridge Archaeological Journal, 2024
The present analysis focuses on the material component of time, the devices used for measuring an... more The present analysis focuses on the material component of time, the devices used for measuring and counting it. The biological basis for subjective, experiential time is first reviewed, as are early strategies found cross-culturally for objectively measuring and counting time. These strategies include timekeeping by natural phenomena, using tallies to keep track of small periods of time, harnessing shadows for daily and annual time, and visualizing time with clocks and calendars. The conclusion then examines how such timekeeping devices might influence the conceptualization of time.
Phenomenology and the Cognitive Sciences, 2024
This paper presents writing as an extended cognitive system comprised of brain, body, and the mat... more This paper presents writing as an extended cognitive system comprised of brain, body, and the material form that is writing. Part I introduces the theoretical framework used for the analysis, Material Engagement Theory (MET), and the initial insights into writing systems gained by applying MET to Mesopotamian artifacts for numbers and writing. Part II discusses how writing as a material form has changed over time and why this material change reflects, accumulates, and distributes change in the behaviors and brains of generations of writers. Part III explains why forms of writing used today are a visible form of language in being comprised of contrastive graphic features. Part IV argues against the idea that writing should be excluded from being considered as an extended cognitive system. On the contrary, considering writing from this perspective can provide new insights into the ways we use material forms—not just in writing but more broadly—to change our behaviors and brains, and their roles in intensifying and perpetuating those changes.
FifteenEightyFour: Academic perspectives, 2023
As the science of material culture, archaeology offers a unique perspective on numbers. This pers... more As the science of material culture, archaeology offers a unique perspective on numbers. This perspective can explain the origin of numbers, as well as cross-cultural variability. The blog encapsulates the main thesis of my newest book, The materiality of numbers: Emergence and elaboration from prehistory to present (2023, Cambridge University Press).
Antike Welt, 2023
Der alte Nahe Osten ist bekannt für die Entwicklung und Verbreitung von Landwirtschaft, Urbanismu... more Der alte Nahe Osten ist bekannt für die Entwicklung und Verbreitung von Landwirtschaft, Urbanismus, Schrift und Mathematik. Zu diesen Bewegungen von Ideen und Werkzeugen gehörten auch die Zahlentraditionen, die es den Sumerern, Elamiten und Akkadiern ermöglichten, zu zählen und zu rechnen. Die Zahlentraditionen bestanden aus Konzepten wie dem Zählen von Zahlen, Verhaltensweisen wie dem Fingerzählen und Werkzeugen wie Spielsteinen und schriftlichen Notationen. Die Unterschiede zwischen diesen Zahlentraditionen deuten darauf hin, dass sie isoliert voneinander entstanden sind, höchstwahrscheinlich im späten Jungpaläolithikum. Als diese Zahlentraditionen später im Neolithikum und in der Bronzezeit miteinander in Berührung kamen, wandelten sie sich in einer Weise, die Kontraste und kulturelle Identitäten widerspiegelte.
Behavioral and Brain Sciences, 2023
Notations are cognitive systems involving distinctive psychological functions, behaviors, and mat... more Notations are cognitive systems involving distinctive psychological functions, behaviors, and material forms. Seen through this lens, two main types—semasiography and visible language—are fundamentally differentiated by their material prehistories, emphasis on iconography, and the centrality of language’s combinatorial faculty. These fundamental differences suggest that key qualities (iconicity, expressiveness, concision) are difficult to conjoin in a single system.
Written Language & Literacy, 2022
In 2006, a narrative of the Desana people included a system of graphic symbols reported as a hist... more In 2006, a narrative of the Desana people included a system of graphic symbols reported as a historical Indigenous invention used during intertribal warfare to count the number of enemies and pass warning information. This paper outlines and evaluates the Desana graphic system. The Desana people are described, and their timeline of mythical events is compared to historical accounts of the region. Contemporary Desana spoken numbers are then characterized as a quinary system with a restricted extent that differs significantly from the graphic writing system as presented in the cultural narrative. Implications for the development of writing systems generally and numerical notations specifically are explored. We conclude that the numerical symbols represent cultural diffusion of both European decimal numerals and the idea of writing. However, these were influenced by, synthesized with, and ultimately transformed through their contact with Indigenous cultural practices and concepts, making them an authentic Desana invention.
Visible Language, 2022
Complex systems like literacy and numeracy emerge through multigenerational interactions of brain... more Complex systems like literacy and numeracy emerge through multigenerational interactions of brains, behaviors, and material forms. In such systems, material forms – writing for language and notations for numbers – become increasingly refined to elicit specific behavioral and psychological responses in newly indoctrinated individuals. These material forms, however, differ fundamentally in things like semiotic function: language signifies, while numbers instantiate. This makes writing for language able to represent the meanings and sounds of particular languages, while notations for numbers are semantically meaningful without phonetic specification. This representational distinction is associated with neurofunctional and behavioral differences in what neural activity and behaviors like handwriting contribute to literacy and numeracy. In turn, neurofunctional and behavioral differences place written representations for language and numbers under different pressures that influence the forms they take and how those forms change over time as they are transmitted across languages and cultures.
Frontiers in Psychology, 2021
Number systems differ cross-culturally in characteristics like how high counting extends and whic... more Number systems differ cross-culturally in characteristics like how high counting extends and which number is used as a productive base. Some of this variability can be linked to the way the hand is used in counting. The linkage shows that devices like the hand used as external representations of number have the potential to influence numerical structure and organization, as well as aspects of numerical language. These matters suggest that cross-cultural variability may be, at least in part, a matter of whether devices are used in counting, which ones are used, and how they are used.
Journal of Cognition and Culture, 2021
Four perspectives on numerical origins are examined. The nativist model sees numbers as an aspect... more Four perspectives on numerical origins are examined. The nativist model sees numbers as an aspect of numerosity, the biologically endowed ability to appreciate quantity that humans share with other species. The linguistic model sees numbers as a function of language. The embodied model sees numbers as conceptual metaphors informed by physical experience and expressed in language. Finally, the extended model sees numbers as conceptual outcomes of a cognitive system that includes material forms as constitutive components. If numerical origins are to be found, each perspective must address one or more critical questions that will require working across discipline boundaries.
Journal of Near Eastern Studies, 2021
In this study, the archaic counting systems of Mesopotamia as understood through the Neolithic to... more In this study, the archaic counting systems of Mesopotamia as understood through the Neolithic tokens, numerical impressions, and proto-cuneiform notations were compared to the traditional number-words and counting methods of Polynesia as understood through contemporary and historical descriptions of vocabulary and behaviors. The comparison and associated analyses capitalized on the ability to understand well-known characteristics of Uruk-period numbers like object-specific counting, polyvalence, and context-dependence through historical observations of Polynesian counting methods and numerical language, evidence unavailable for ancient numbers. Similarities between the two number systems were then used to argue that archaic Mesopotamian numbers, like those of Polynesia, were highly elaborated and would have served as cognitively efficient tools for mental calculation. Their differences also show the importance of material technologies like tokens, impressions, and notations to developing mathematics. This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No. 785793.
Cultural number systems: A sourcebook explains, among other topics, why Xerxes the First once cou... more Cultural number systems: A sourcebook explains, among other topics, why Xerxes the First once counted his army by having his men march through an enclosure big enough to hold 10,000 of them at a time, why the Hawaiian word for twenty means "nine and two," why irrational numbers were said to have driven an ancient Greek mathematician mad, and how old counting might be and how we might know this. Writing from the perspective of the material devices and behaviors used in numbers, Cultural number systems: A sourcebook recounts the most interesting and unusual cultural number systems that cognitive archaeologist Karenleigh A. Overmann has encountered in a decade's worth of research. Along the way, she describes things like dactylonomy, the ancient art of expressing and calculating numbers with the fingers; specified counting, the use of different counting sequences to count different types of objects; and the ephemeral abacus, strategies for counting that involve people and goods but not an actual device. The material is organized into six geographical areas-the ancient Near East, Africa, Europe, Asia/India, Oceania, and the Americas-each of which has six chapters covering one or more cultural number systems.
Cambridge University Press, 2023
This is a book about numbers—what they are as concepts and how and why they originate—as viewed t... more This is a book about numbers—what they are as concepts and how and why they originate—as viewed through the material devices used to represent and manipulate them. Fingers, tallies, tokens, and written notations, invented in both ancestral and contemporary societies, explain what numbers are, why they are the way they are, and how we get them. Cognitive archaeologist Karenleigh A. Overmann is the first to explore how material devices contribute to numerical thinking, initially by helping us to visualize and manipulate the perceptual experience of quantity that we share with other species. She explores how and why numbers are conceptualized and then elaborated, as well as the central role that material objects play in both processes. Overmann's volume thus offers a view of numerical cognition that is based on an alternative set of assumptions about numbers, their material component, and the nature of the human mind and thinking.
Oxford University Press, 2024
The Oxford Handbook of Cognitive Archaeology showcases the theories, methods, and accomplishments... more The Oxford Handbook of Cognitive Archaeology showcases the theories, methods, and accomplishments of archaeologists who investigate the human mind—its evolutionary development, its ideation (thoughts and beliefs), and its very nature—through material forms. The intellectual heart of cognitive archaeology is archaeology, the discipline that investigates the only direct evidence of the actions and decisions of prehistoric people. Its theories and methods are an eclectic mix of psychological, neuroscientific, paleoneurological, philosophical, anthropological, ethnographic, comparative, aesthetic, and experimental theories, methods, and models, united only by their focus on cognition. This volume encompasses the wide spectrum of the discipline, showcasing contributions from more than 50 established and emerging scholars from Europe, Africa, Asia, Australia, and the Americas. Prominent among these are contributions that discuss the epistemological frameworks of both the evolutionary and ideational approaches and the leading theories that ground interpretations. Significantly, the majority of chapters deliver substantive contributions that analyze specific examples of material culture, from the oldest known stone tools to ceramic and rock art traditions of the recent millennium. These examples include the gamut of methods and techniques, including typology, replication studies, chaînes operatoires, neuroarchaeology, ethnographic comparison, and the direct historical approach. The volume begins with retrospective essays by several of the pioneers of cognitive archaeology, presents a broad range of state-of-the-art investigations into cognitive abilities, tackles thorny issues like the cognitive status of Neandertals, and then concludes with speculative essays about the future of an archaeology of mind, and of the mind itself.
Ugarit-Verlag, 2021
A world without writing is hard to imagine, as it has become a regular feature of everyday life. ... more A world without writing is hard to imagine, as it has become a regular feature of everyday life. However, our Western alphabetic writing system is the outcome of a millennia-long evolution. What is more, this system is only one strand of the many possible shapes that scripts can assume. This volume explores the various shapes and potentialities of ancient Near Eastern writing systems: the relationship between language and writing; the influences and pragmatics that affect sign form, organization, meaning, and purpose; the techniques for and necessity of phonetic values; and the interplay of the cognitive processes, behaviors, and material forms in producing and interpreting writing. It also works as a means of reflecting on our own alphabetic writing system, in terms of its implicit rules and limits. Ranging in time from the mid-4th millennium BC to the middle of the 2nd millennium BC and distance from today’s Southern Iraq to the Anatolian mountains, the contributions explore how languages like Sumerian, Akkadian, Hurrian, Hittite, and Luwian were written, and how writing works without a specific linguistic referent. Part I focuses on signs, meanings, and language, while Part II concerns the pragmatics of signs and their production. Finally, Part III deals with the organization of lists, a prominent text genre in early writing. Cognitive processing in reading and writing is a pervasive theme, and indeed, the addition of neuroscientific findings to current interpretational methods and theories promises to yield exciting new insights into early writing systems.
Gorgias Press, 2019
The Material Origin of Numbers examines how number concepts are realized, represented, manipulate... more The Material Origin of Numbers examines how number concepts are realized, represented, manipulated, and elaborated. Utilizing the cognitive archaeological framework of Material Engagement Theory and culling data from disciplines including neuroscience, ethnography, linguistics, and archaeology, the work offers a methodologically rich study of numbers and number concepts in the ancient Near East from the late Upper Paleolithic Period through the Bronze Age. This project has received funding from the Clarendon Fund at the University of Oxford, as well as the European Union’s Horizon 2020 research and innovation program under grant agreement No. 785793.
Oxford University Press, 2019
Cognitive archaeology is a relatively new interdisciplinary science that uses cognitive and psych... more Cognitive archaeology is a relatively new interdisciplinary science that uses cognitive and psychological models to explain archeological artifacts like stone tools, figurines, and art. Squeezing Minds from Stones is a collection of essays from early pioneers in the field, like archaeologists Thomas Wynn and Iain Davidson, and evolutionary primatologist William McGrew, to 'up and coming' newcomers like Shelby Putt, Ceri Shipton, Mark Moore, James Cole, Natalie Uomini, and Lana Ruck. Their essays address a wide variety of cognitive archaeology topics, including the value of experimental archaeology, primate archaeology, the intent of ancient tool makers, and how they may have lived and thought.
Adaptive Behavior, 2021
This special issue of Adaptive Behavior focuses on 4E cognition (cognition as embodied, embedded,... more This special issue of Adaptive Behavior focuses on 4E cognition (cognition as embodied, embedded, enactive, and extended) in the Lower Palaeolithic. In the introductory essay, we review the typological and representational cognitive approaches that have dominated the past fifty years of paleoanthropology. These have assumed that all representations and computations take place only inside the head, which implies that the archaeological record can only be an “external” product or the behavioral trace of “internal” representational and computational processes. In comparison, the 4E approach helps us to overcome this dualist representational logic, allowing us to engage directly with the archaeological record as an integral part of the thinking process, and thus ground a more parsimonious cognitive archaeology. It also treats stone tools, the primary vestiges of hominin thinking, as active participants in mental life. The 4E approach offers a better grounding for understanding hominin technical expertise, a crucially important component of hominin cognitive evolution. The special issue contains eight articles by Lambros Malafouris, Karenleigh A. Overmann, Anna Barona, Hannah Mosley, Christopher Baber and Klint Janulis, Thomas Wynn, John Gowlett, and Frederick L. Coolidge. These articles arose out of a series of workshops held at Keble College, University of Oxford, between February 2018 and November 2019.
Pragmatics & Cognition, 2014
Special issue on creativity, cognition, and material culture, featuring articles by David Kirsh, ... more Special issue on creativity, cognition, and material culture, featuring articles by David Kirsh, Frédéric Vallée-Tourangeau, Thomas Wynn and Frederick L. Coolidge, Carl Knappett and Sander van der Leeuw, Chris Gosden, Maurice Bloch, Tim Ingold, Lambros Malafouris, and Kevin Warwick.
Cuneiform Digital Library Journal, 2024
I respond to P. McLaughlin and O. Schlaudt's critique of my analysis of the crosscultural origins... more I respond to P. McLaughlin and O. Schlaudt's critique of my analysis of the crosscultural origins of numbers, noting that my work draws extensively upon number systems as ethnographically attested around the globe, and thus is based only in part on the important Mesopotamian case study. I place the work of Peter Damerow in its historical context, noting its genesis in Piaget's genetic epistemology and the problems associated with applying Piaget's developmental theory to societies. While Piaget assumed numeracy involves invariant mental transformations, ongoing research in numerical cognition has been largely unsuccessful in identifying specific brain-bound mechanisms for numerical structure. Accordingly, I suggest the extended mind paradigm from the philosophy of mind may be a more fruitful approach, and detail such an approach using Material Engagement Theory.
Cambridge Archaeological Journal, 2024
The present analysis focuses on the material component of time, the devices used for measuring an... more The present analysis focuses on the material component of time, the devices used for measuring and counting it. The biological basis for subjective, experiential time is first reviewed, as are early strategies found cross-culturally for objectively measuring and counting time. These strategies include timekeeping by natural phenomena, using tallies to keep track of small periods of time, harnessing shadows for daily and annual time, and visualizing time with clocks and calendars. The conclusion then examines how such timekeeping devices might influence the conceptualization of time.
Phenomenology and the Cognitive Sciences, 2024
This paper presents writing as an extended cognitive system comprised of brain, body, and the mat... more This paper presents writing as an extended cognitive system comprised of brain, body, and the material form that is writing. Part I introduces the theoretical framework used for the analysis, Material Engagement Theory (MET), and the initial insights into writing systems gained by applying MET to Mesopotamian artifacts for numbers and writing. Part II discusses how writing as a material form has changed over time and why this material change reflects, accumulates, and distributes change in the behaviors and brains of generations of writers. Part III explains why forms of writing used today are a visible form of language in being comprised of contrastive graphic features. Part IV argues against the idea that writing should be excluded from being considered as an extended cognitive system. On the contrary, considering writing from this perspective can provide new insights into the ways we use material forms—not just in writing but more broadly—to change our behaviors and brains, and their roles in intensifying and perpetuating those changes.
FifteenEightyFour: Academic perspectives, 2023
As the science of material culture, archaeology offers a unique perspective on numbers. This pers... more As the science of material culture, archaeology offers a unique perspective on numbers. This perspective can explain the origin of numbers, as well as cross-cultural variability. The blog encapsulates the main thesis of my newest book, The materiality of numbers: Emergence and elaboration from prehistory to present (2023, Cambridge University Press).
Antike Welt, 2023
Der alte Nahe Osten ist bekannt für die Entwicklung und Verbreitung von Landwirtschaft, Urbanismu... more Der alte Nahe Osten ist bekannt für die Entwicklung und Verbreitung von Landwirtschaft, Urbanismus, Schrift und Mathematik. Zu diesen Bewegungen von Ideen und Werkzeugen gehörten auch die Zahlentraditionen, die es den Sumerern, Elamiten und Akkadiern ermöglichten, zu zählen und zu rechnen. Die Zahlentraditionen bestanden aus Konzepten wie dem Zählen von Zahlen, Verhaltensweisen wie dem Fingerzählen und Werkzeugen wie Spielsteinen und schriftlichen Notationen. Die Unterschiede zwischen diesen Zahlentraditionen deuten darauf hin, dass sie isoliert voneinander entstanden sind, höchstwahrscheinlich im späten Jungpaläolithikum. Als diese Zahlentraditionen später im Neolithikum und in der Bronzezeit miteinander in Berührung kamen, wandelten sie sich in einer Weise, die Kontraste und kulturelle Identitäten widerspiegelte.
Behavioral and Brain Sciences, 2023
Notations are cognitive systems involving distinctive psychological functions, behaviors, and mat... more Notations are cognitive systems involving distinctive psychological functions, behaviors, and material forms. Seen through this lens, two main types—semasiography and visible language—are fundamentally differentiated by their material prehistories, emphasis on iconography, and the centrality of language’s combinatorial faculty. These fundamental differences suggest that key qualities (iconicity, expressiveness, concision) are difficult to conjoin in a single system.
Written Language & Literacy, 2022
In 2006, a narrative of the Desana people included a system of graphic symbols reported as a hist... more In 2006, a narrative of the Desana people included a system of graphic symbols reported as a historical Indigenous invention used during intertribal warfare to count the number of enemies and pass warning information. This paper outlines and evaluates the Desana graphic system. The Desana people are described, and their timeline of mythical events is compared to historical accounts of the region. Contemporary Desana spoken numbers are then characterized as a quinary system with a restricted extent that differs significantly from the graphic writing system as presented in the cultural narrative. Implications for the development of writing systems generally and numerical notations specifically are explored. We conclude that the numerical symbols represent cultural diffusion of both European decimal numerals and the idea of writing. However, these were influenced by, synthesized with, and ultimately transformed through their contact with Indigenous cultural practices and concepts, making them an authentic Desana invention.
Visible Language, 2022
Complex systems like literacy and numeracy emerge through multigenerational interactions of brain... more Complex systems like literacy and numeracy emerge through multigenerational interactions of brains, behaviors, and material forms. In such systems, material forms – writing for language and notations for numbers – become increasingly refined to elicit specific behavioral and psychological responses in newly indoctrinated individuals. These material forms, however, differ fundamentally in things like semiotic function: language signifies, while numbers instantiate. This makes writing for language able to represent the meanings and sounds of particular languages, while notations for numbers are semantically meaningful without phonetic specification. This representational distinction is associated with neurofunctional and behavioral differences in what neural activity and behaviors like handwriting contribute to literacy and numeracy. In turn, neurofunctional and behavioral differences place written representations for language and numbers under different pressures that influence the forms they take and how those forms change over time as they are transmitted across languages and cultures.
Frontiers in Psychology, 2021
Number systems differ cross-culturally in characteristics like how high counting extends and whic... more Number systems differ cross-culturally in characteristics like how high counting extends and which number is used as a productive base. Some of this variability can be linked to the way the hand is used in counting. The linkage shows that devices like the hand used as external representations of number have the potential to influence numerical structure and organization, as well as aspects of numerical language. These matters suggest that cross-cultural variability may be, at least in part, a matter of whether devices are used in counting, which ones are used, and how they are used.
Journal of Cognition and Culture, 2021
Four perspectives on numerical origins are examined. The nativist model sees numbers as an aspect... more Four perspectives on numerical origins are examined. The nativist model sees numbers as an aspect of numerosity, the biologically endowed ability to appreciate quantity that humans share with other species. The linguistic model sees numbers as a function of language. The embodied model sees numbers as conceptual metaphors informed by physical experience and expressed in language. Finally, the extended model sees numbers as conceptual outcomes of a cognitive system that includes material forms as constitutive components. If numerical origins are to be found, each perspective must address one or more critical questions that will require working across discipline boundaries.
Journal of Near Eastern Studies, 2021
In this study, the archaic counting systems of Mesopotamia as understood through the Neolithic to... more In this study, the archaic counting systems of Mesopotamia as understood through the Neolithic tokens, numerical impressions, and proto-cuneiform notations were compared to the traditional number-words and counting methods of Polynesia as understood through contemporary and historical descriptions of vocabulary and behaviors. The comparison and associated analyses capitalized on the ability to understand well-known characteristics of Uruk-period numbers like object-specific counting, polyvalence, and context-dependence through historical observations of Polynesian counting methods and numerical language, evidence unavailable for ancient numbers. Similarities between the two number systems were then used to argue that archaic Mesopotamian numbers, like those of Polynesia, were highly elaborated and would have served as cognitively efficient tools for mental calculation. Their differences also show the importance of material technologies like tokens, impressions, and notations to developing mathematics. This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No. 785793.
Adaptive Behavior, 2020
This essay introduces a special issue focused on 4E cognition (cognition as embodied, embedded, e... more This essay introduces a special issue focused on 4E cognition (cognition as embodied, embedded, enactive, and extended) in the Lower Palaeolithic. In it, we review the typological and representational cognitive approaches that have dominated the past fifty years of paleoanthropology. These have assumed that all representations and computations take place only inside the head, which implies that the archaeological record can only be an “external” product or the behavioral trace of “internal” representational and computational processes. In comparison, the 4E approach helps us to overcome this dualist representational logic, allowing us to engage directly with the archaeological record as an integral part of the thinking process, and thus ground a more parsimonious cognitive archaeology. It also treats stone tools, the primary vestiges of hominin thinking, as active participants in mental life. The 4E approach offers a better grounding for understanding hominin technical expertise, a crucially important component of hominin cognitive evolution. This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No. 785793.
Pragmatics & Cognition, 2014
Introduction to the special issue in Pragmatics & Cognition focused on creativity, cognition, and... more Introduction to the special issue in Pragmatics & Cognition focused on creativity, cognition, and material culture. With contributions from Maurice Bloch, Chris Gosden, Tim Ingold, John Kirsh, Carl Knappett & Sander van der Leeuw, Lambros Malafouris, Frédéric Vallée-Tourangeau, Kevin Warwick, and Tom Wynn and Frederick L. Coolidge.
Adaptive Behavior, 2021
Humans leverage material forms for unique cognitive purposes: We recruit and incorporate them int... more Humans leverage material forms for unique cognitive purposes: We recruit and incorporate them into our cognitive system, exploit them to accumulate and distribute cognitive effort, and use them to recreate phenotypic change in new individuals and generations. These purposes are exemplified by writing, a relatively recent tool that has become highly adept at eliciting specific psychological and behavioral responses in its users, capability it achieved by changing in ways that facilitated, accumulated, and distributed incremental behavioral and psychological change between individuals and generations. Writing is described here as a self-organizing system whose design features reflect points of maximal usefulness that emerged under sustained collective use of the tool. Such self-organization may hold insights applicable to human cognitive evolution and tool use more generally. Accordingly, this article examines the emergence of the ability to leverage material forms for cognitive purposes, using the tool-using behaviors and lithic technologies of ancestral species and contemporary non-human primates as proxies for matters like collective use, generational sustainment, and the nonteleological emergence of design features. This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No. 785793.
Journal of Mathematics and Culture, 2021
Traditional Polynesian number systems provide interesting and occasionally surprising insights in... more Traditional Polynesian number systems provide interesting and occasionally surprising insights into the elaboration of numerical structure and organization. While strongly decimal and capable of counting into the millions, these number systems also developed divergent ways of counting specific types of objects, and objects could be counted collectively (by twos, fours, or eights) as well as singly (one by one). Toward the eastern periphery of the region, in Mangareva, three unique binary steps were also incorporated into an otherwise decimal structure. Here these elaborations are shown to have a material basis: they are the logical outcomes of pragmatic counting methods that minimized physical and mental effort. The elaboration of numbers through the counting methods used highlights the centrality of material forms to the structure and organization of both numerical concepts and their verbal labels. These insights position our manuovisual engagement of material forms alongside language as an interdependent, co-influential, and ultimately distinct means of accessing and elaborating human numerical intuitions, one whose investigation has the potential to yield new insights into human numeracy. This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No. 785793.
Journal of the Polynesian Society, 2020
The idea the New Zealand Māori once counted by elevens has been viewed as a cultural misunderstan... more The idea the New Zealand Māori once counted by elevens has been viewed as a cultural misunderstanding originating with a mid-nineteenth-century dictionary of their language. Yet this “remarkable singularity” had an earlier, Continental origin, the details of which have been lost over a century of transmission in the literature. The affair is traced to a pair of scientific explorers, René-Primevère Lesson and Jules Poret de Blosseville, as reconstructed through their publications on the 1822–1825 circumnavigational voyage of the Coquille, a French corvette. Possible explanations for the affair are briefly examined, including whether it might have been a prank by the Polynesians or a misunderstanding or hoax on the part of the Europeans. Reasons why the idea of counting by elevens remains topical are discussed. First, its very oddity has obscured the counting method actually used—setting aside every tenth item as a tally. This “ephemeral abacus” is examined for its physical and mental efficiencies and its potential to explain aspects of numerical structure and vocabulary (e.g., Mangarevan binary counting; the Hawaiian number word for twenty, iwakalua), matters suggesting material forms have a critical if underappreciated role in realising concepts like exponential value. Second, it provides insight into why it can be difficult to appreciate highly elaborated but unwritten numbers like those found throughout Polynesia. Finally, the affair illuminates the difficulty of categorising number systems that use multiple units as the basis of enumeration, like Polynesian pair-counting; potential solutions are offered. This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No. 785793.
Journal of Cognition and Culture, 2019
Using a model of cognition as extended and enactive, we examine the role of materiality in making... more Using a model of cognition as extended and enactive, we examine the role of materiality in making minds as exemplified by lithics and writing, forms associated with conceptual thought and meta-awareness of conceptual domains. We address ways in which brain functions may change in response to interactions with material forms, the attributes of material forms that may cause such change, and the spans of time required for neurofunctional reorganization. We also offer three hypotheses for investigating co-influence and change in cognition and material culture. This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No. 785793.
Journal of Archaeological Method and Theory, 2019
In this paper, we examine the role of materiality in human cognition. We address issues such as t... more In this paper, we examine the role of materiality in human cognition. We address issues such as the ways in which brain functions may change in response to interactions with material forms, the attributes of material forms that may cause change in brain functions, and the spans of time required for brain functions to reorganize when interacting with material forms. We then contrast thinking through materiality with thinking about it. We discuss these in terms of their evolutionary significance and history as attested by stone tools and writing, material forms whose interaction endowed our lineage with conceptual thought and meta-awareness of conceptual domains. This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No. 785793.
Journal of Numerical Cognition, 2018
Numbers are concepts whose content, structure, and organization are influenced by the material fo... more Numbers are concepts whose content, structure, and organization are influenced by the material forms used to represent and manipulate them. Indeed, as argued here, it is the inclusion of multiple forms (distributed objects, fingers, single- and two-dimensional forms like pebbles and abaci, and written notations) that is the mechanism of numerical elaboration. Further, variety in employed forms explains at least part of the synchronic and diachronic variability that exists between and within cultural number systems. Material forms also impart characteristics like linearity that may persist in the form of knowledge and behaviors, ultimately yielding numerical concepts that are irreducible to and functionally independent of any particular form. Material devices used to represent and manipulate numbers also interact with language in ways that reinforce or contrast different aspects of numerical cognition. Not only does this interaction potentially explain some of the unique aspects of numerical language, it suggests that the two are complementary but ultimately distinct means of accessing numerical intuitions and insights. The potential inclusion of materiality in contemporary research in numerical cognition is advocated, both for its explanatory power, as well as its influence on psychological, behavioral, and linguistic aspects of numerical cognition.
Oxford University Press, 2019
We look back at the field of cognitive archaeology by discussing the moment of insight that inspi... more We look back at the field of cognitive archaeology by discussing the moment of insight that inspired one of its pioneers, Thomas Wynn, to apply Piagetian developmental theory to the question of human cognitive evolution as understood through geometric relations in stone tools. We also review the work of other pioneers in the field, including Colin Renfrew and John Gowlett. We briefly describe the articles contained in the volume. Lastly, we look forward at where the field of cognitive archaeology may be headed.
Gorgias Press, 2019
The Material Origin of Numbers examines how number concepts are realized, represented, manipulate... more The Material Origin of Numbers examines how number concepts are realized, represented, manipulated, and elaborated. Utilizing the cognitive archaeological framework of Material Engagement Theory and culling data from disciplines including neuroscience, ethnography, linguistics, and archaeology, the work offers a methodologically rich study of numbers and number concepts in the ancient Near East from the late Upper Paleolithic Period through the Bronze Age. This project has received funding from the Clarendon Fund at the University of Oxford, as well as the European Union’s Horizon 2020 research and innovation program under grant agreement No. 785793.
The Oxford handbook of cognitive archaeology, 2024
In this introductory essay to The Oxford handbook of cognitive archaeology, we present and define... more In this introductory essay to The Oxford handbook of cognitive archaeology, we present and define the field, distinguishing it within the broader discipline as the branch concerned with human cognition and typically adopting cognitive paradigms as the basis for its interpretations. We discuss the two main investigatory branches, the Evolutionary Cognitive Archaeology (ECA) that focuses on the evolutionary development of human cognition and the Ideational Cognitive Archaeology (ICA) that focuses on the thoughts and beliefs of ancient societies, along with the emerging 4E (embodied, embedded, extended, and enacted) strand that is concerned with the role of material forms within human cognition. We also differentiate cognitive archaeology from disciplines like evolutionary psychology in terms of foundational assumptions, theories, methods, and epistemological orientations. Finally, we outline the Handbook’s structure and organization.
The Oxford handbook of cognitive archaeology, 2024
In discussions of the Neandertal extinction, morphological differences in brain shape and brain r... more In discussions of the Neandertal extinction, morphological differences in brain shape and brain regions between Homo sapiens and Neandertals are often ignored or dismissed as inconsequential, despite the fact that skull shape is diagnostic of the species to which a specimen belongs. The purpose of the present chapter is to discuss the potential cognitive consequences of three well-established brain differences and their possible eventual role in the extinction of Neandertals. These morphological brain differences include larger olfactory bulbs, expanded parietal lobes, and a larger cerebellum-to-cerebrum ratio in Homo sapiens compared to Neandertals. The phenotypic consequences of these brain differences include better smell identification and sensitivity, with implications for mate selection and disease immunity; enhanced social cognitive abilities and greater theory of mind; and innovation and creativity, respectively.
The Oxford handbook of cognitive archaeology, 2024
This paper discusses the use of the terms symbols, symbolism, and symbolling in the archaeologica... more This paper discusses the use of the terms symbols, symbolism, and symbolling in the archaeological literature. The lack of definition and any grounding in cognitive theory makes identifying prehistoric symbols and symbolling more art than science. A multiplicity of claims from the literature highlights the tendency to claim almost any form from any period of prehistory as symbolic. After the problem is defined, an alternative approach is proposed. The alternative suggests grounding symbols and symbolling in contemporary cognitive theory; this would permit the construct to be operationalized as qualities potentially discernable in prehistoric material forms. A multi-level construct is also proposed, one that is not only capable of differentiating symbolic cognition as exhibited by the human species today from the presumably non-symbolic cognition of contemporary non-human primates, but which is also able to differentiate both from the emergent symbolling capacities of ancestral hominids.
The Oxford handbook of cognitive archaeology, 2024
Two approaches to prehistoric numeracy are analyzed and compared. The first uses traditional arch... more Two approaches to prehistoric numeracy are analyzed and compared. The first uses traditional archaeological methods and criteria to examine and characterize marks on prehistoric artifacts for the purpose of assessing whether they were notations. The second uses a theoretical framework in which cognition is extended—meaning that material forms are a component of the mind—in order to understand the role of counting devices in numerical cognition. Each answers a different question: The traditional approach is concerned with understanding the intent and meaning of artifactual marks, while the extended approach focuses on how material forms contribute to numerical realization, explication, and elaboration. Both highlight ongoing issues in investigating prehistoric numeracy, which might benefit from a combined and expanded methodology.
Routledge international handbook of creative cognition, 2024
Creativity is often conceived in terms of insight, innovation, and invention realized through tec... more Creativity is often conceived in terms of insight, innovation, and invention realized through technical mastery and skill. Challenging this individualistic model are “inventions” like writing, something that surely gave no clue to the form it would ultimately take—script—or the ways in which it would reorganize behaviors and brains in the cognitive state known as literacy. Here writing is analyzed as a tool used collectively and collaboratively. Collective, collaborative use enabled the tool to become increasingly effective at eliciting specific behavioral and psychological responses. Collective, collaborative use also subjected the tool to the combined force of the individual variability represented by different user and material combinations over time. Combined variability influenced tool form toward features reflecting both the average behavioral, physiological, and psychological capacities of the tool-using community and points of maximal usability. The result offers a new model of creativity, one based not on the individual but on collective, collaborative use and incremental change in behaviors and brains, materially accumulated and redistributed between generations. The model presents aspects of human innovation that escape the individualistic model by focusing on ordinary tool-using behaviors and sustained use within social groups as the critical elements.
The social and cultural contexts of historic writing practices, 2021
Complex systems like literacy and numeracy emerge through multigenerational interactions of brain... more Complex systems like literacy and numeracy emerge through multigenerational interactions of brains, behaviors, and material forms. In such systems, material forms – writing for language and notations for numbers – become increasingly refined to elicit specific behavioral and psychological responses in newly indoctrinated individuals. These material forms, however, differ fundamentally in things like semiotic function: language signifies, while numbers instantiate. This makes writing for language able to represent the meanings and sounds of particular languages, while notations for numbers are semantically meaningful without phonetic specification. This representational distinction is associated with neurofunctional and behavioral differences in what neural activity and behaviors like handwriting contribute to literacy and numeracy. In turn, neurofunctional and behavioral differences place written representations for language and numbers under different pressures that influence the forms they take and how those forms change over time as they are transmitted across languages and cultures.
Signs – Sounds – Semantics: Nature and Transformation of Writing Systems in the Ancient Near East. Wiener Offene Orientalistik 13., 2021
Complex systems like literacy and numeracy emerge through multigenerational interactions of brain... more Complex systems like literacy and numeracy emerge through multigenerational interactions of brains, behaviors, and material forms. In such systems, material forms – writing for language and notations for numbers – become increasingly refined to elicit specific behavioral and psychological responses in newly indoctrinated individuals. These material forms, however, differ fundamentally in things like semiotic function: language signifies, while numbers instantiate. This makes writing for language able to represent the meanings and sounds of particular languages, while notations for numbers are semantically meaningful without phonetic specification. This representational distinction is associated with neurofunctional and behavioral differences in what neural activity and behaviors like handwriting contribute to literacy and numeracy. In turn, neurofunctional and behavioral differences place written representations for language and numbers under different pressures that influence the forms they take and how those forms change over time as they are transmitted across languages and cultures. This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No. 785793.
Squeezing minds from stones: Cognitive archaeology and the evolution of the human mind, 2019
Modern humans produce number systems with striking cross-cultural similarities. Understanding pre... more Modern humans produce number systems with striking cross-cultural similarities. Understanding prehistoric numerical cognition, however, requires looking at when cognitive prerequisites emerged: morphological factors like parietal encephalization; abilities like quantity perception, language, concept formation and manipulation, categorization, and ordinality; and demographic factors suggesting societal motivations for numerical development. These establish the “probably not before” timeline for numerical emergence. The question is then approached from the earliest emergence of unambiguous numbers in Mesopotamia, clay tokens used in the late 4th millennium and subsequent numerical notations. With tokens and notations, the archaeological and textual evidence of precursor technologies like tallies and fingers form a sequence capable of elaborating the innate perceptual experience of quantity into simple counting sequences and complex mathematics. Along with the cognitive prerequisites, the sequence of material forms also provides insight into potential archaeological evidence (material forms and demographic factors) that might indicate numerical emergence in prehistoric times.
Cognitive models in Palaeolithic archaeology, 2017
The present review applies Malafouris’ Material Engagement Theory to counting technologies (bodie... more The present review applies Malafouris’ Material Engagement Theory to counting technologies (bodies and artifacts) through three central ideas: The extended mind hypothesis suggests that numerical cognition includes material devices for counting in a way that goes beyond mere causal linkage. Counting technologies have different affordances, which alters their material agency and varies numerical system outcomes. The enactive significance of material signs is compared to the communicative significance of linguistic signs to suggest that numerical system outcomes are shaped, at least in part, by the ways in which they differ.
Cognitive models in Palaeolithic archaeology, 2017
In the paleoanthropological record, there is a chronological gap between the appearance of modern... more In the paleoanthropological record, there is a chronological gap between the appearance of modern gross neural anatomy (especially parietal lobe expansion) and the appearance of modern behavior, however defined. Convincing evidence for modern working memory capacity, abstract concepts, symbolic culture, and so on, is very late (after 40,000 years ago for groups who demonstrate all of these traits), long after the evolution of modern-shaped brains. There are a number of ways to account for this gap—a late neural mutation, the ratchet effect of culture change, and taphonomic bias have all been proposed. The present paper supports the idea that modern minds are extended minds that work through material objects to achieve powerful results. The gap between modern brain anatomy and the modern mind arose because aspects of the extended modern mind had to bootstrap onto particular technologies. The hypothesis is supported with the example of ordinality. When modern children learn numbers, they bootstrap the concept of ordinality by using a linguistic scaffold in the guise of a list of numeral labels. However, the concept of ordinality could not have developed initially from a numeral list because none existed. Instead, ordinality must have developed from an embodied scaffold such as fingers or physical artifacts of some kind. The Middle Stone Age of Southern Africa has evidence of one such material scaffold, the string of beads. The present paper proposes that stringing beads for thousands of years provided the most likely scaffold for the development of ordinality, initially a cultural construct that led to genetic changes in subsequent generations through neuronal recycling and gene-culture co-evolution.
Wynn, T., Overmann, K. A., Coolidge, F. L., & Janulis, K. (In press). Bootstrapping components of... more Wynn, T., Overmann, K. A., Coolidge, F. L., & Janulis, K. (In press). Bootstrapping components of a modern mind. In T. Wynn & F. L. Coolidge (Eds.), Cognitive models in Palaeolithic archaeology. Oxford: Oxford University Press. In the paleoanthropological record, there is a chronological gap between the appearance of modern gross neural anatomy (especially parietal lobe expansion) and the appearance of modern behavior, however defined. Convincing evidence for modern working memory capacity, abstract concepts, symbolic culture, and so on, is very late (after 40,000 years ago for groups who demonstrate all of these traits), long after the evolution of modern-shaped brains. There are a number of ways to account for this gap—a late neural mutation, the ratchet effect of culture change, and taphonomic bias have all been proposed. The present paper supports the idea that modern minds are extended minds that work through material objects to achieve powerful results. The gap between modern ...
The evolutionary emergence of human language: Evidence and inference, May 21, 2013
This chapter examines the evolution of number concept, via the ability to conceive of and use oth... more This chapter examines the evolution of number concept, via the ability to conceive of and use other representations of quantity. It approaches the evolution of number concept via the development of the concept in children. It finds that the child's acquisition of the concept leans heavily on the language scaffold of labelling. It considers the notion that the key in the child's construction of the number concept is the memorized set of words that constitutes the numeral list. This, in turn, raises the possibility that the presence of number concept might correlate with, and consequently be evidence for, the presence of language, provided that the presence of number in deep prehistory could be documented. It is possible that the evolutionary development of an integer concept may differ from its development in children. Hence, the chapter turns to the ethnographic and archaeological records for evidence about its evolutionary development.
Human paleoneurology, Jul 27, 2015
Cognitive archaeology uses cognitive and psychological models to interpret the archaeological rec... more Cognitive archaeology uses cognitive and psychological models to interpret the archaeological record. This chapter outlines several components that may be essential in building effective cognitive archaeological arguments. It also presents a two-stage perspective for the development of modern cognition, primarily based upon the work of Coolidge and Wynn. The first describes the transition from arboreal to terrestrial life in later Homo and the possible cognitive repercussions of terrestrial sleep. The second stage proposes that a genetic event may have enhanced working memory in Homo sapiens (specifically in terms of Baddeley’s multicomponent working memory model). The present chapter also reviews the archaeological and neurological bases for modern thinking, and the latter arguments are primarily grounded in the significance of the morphometric rescaling of the parietal lobes, which appears to have distinguished Homo sapiens from Neandertals.
The evolution of primate social cognition, 2018
The visuospatial system integrates inner and outer functional processes, organizing spatial, temp... more The visuospatial system integrates inner and outer functional processes, organizing spatial, temporal, and social interactions between brain, body, and environment. These processes involve sensorimotor networks like the eye–hand circuit, which is especially important to primates, given their reliance on vision and touch as primary sensory modalities and the use of the hands in social and environmental interactions. At the same time, visuospatial cognition is intimately connected with egocentric memory, self-awareness, and simulation capacity. In the present article, we review issues associated with investigating visuospatial integration in extinct human groups through the use of anatomical and behavioral data gleaned from the paleontological and archaeological records. In modern humans, paleoneurological analyses have demonstrated noticeable and unique morphological changes in parietal cortex, an area crucial to visuospatial management. Archaeological data provides information on hand-tool interaction, the spatial behavior of past populations and their interaction with the environment (e.g. in domains like landscape use and navigation, the spatial relations implicit in social networks, etc.). Visuospatial integration may represent a critical bridge between extended cognition, self-awareness, and social perception. As such, visuospatial functions are relevant to the hypothesis that human evolution is characterized by changes in brain–body–environment interactions and relations, which enhance possibilities for integrating inner and outer cognitive components through neural plasticity and a specialized embodiment capacity. We therefore advocate the investigation of visuospatial functions in past populations through the paleoneurological study of anatomical elements and archaeological analysis of visuospatial behaviors.
International encyclopedia of anthropology: Anthropology beyond text, Sep 5, 2018
Situated cognition examines how the human mind is affected by being in a physical body and a natu... more Situated cognition examines how the human mind is affected by being in a physical body and a natural and sociomaterial environment, influencing how a person perceives, learns, knows, reasons, decides, and acts. Within the generic term “situated cognition” are various distinctions in which cognition is embodied, embedded, extended, distributed, dynamical, or enactive. In this entry, these views of cognition are explored through influential works in anthropology, philosophy, and cognitive science.
Working memory: The connected intelligence, Sep 4, 2012
In this chapter, we suggest that a specific cognitive ability, an enhancement to working memory, ... more In this chapter, we suggest that a specific cognitive ability, an enhancement to working memory, was one of the key evolutionary acquisitions in human cognition, and indeed may even be the smoking gun of modernity. We demonstrate that Baddeley’s central executive, a key component of his Working Memory (WM) model, is synonymous with the basic executive functions that underlie the more complex ones such as planning. We then discuss the importance of WM to the modern mind, and how WM might be reflected in the archaeological record.
The return of the Lion Man: History, myth, magic (Die Rückkehr des Löwenmenschen: Geschichte–Mythos–Magie), Aug 11, 2013
A brief examination of the cognitive implications of the Lӧwenmensch or Lion Man, the Ice Age fig... more A brief examination of the cognitive implications of the Lӧwenmensch or Lion Man, the Ice Age figurine that is a lion–human hybrid. Its form reveals that the prehistoric artisan relied on well-defined concepts of “lion” and “human,” demonstrating abilities for categorization and abstraction and the use of working memory.
Journal of Anthropological Research, 2022
A review of Reckonings: Numerals, Cognition, and History by Stephen Chrisomalis. Chrisomalis is r... more A review of Reckonings: Numerals, Cognition, and History by Stephen Chrisomalis. Chrisomalis is recognizably the foremost expert in numerical notations. In this latest work, he compares numerical notations to species, since both emerge from ancestral states, transform to fit particular social niches, and give rise (or not) to descendent forms before going extinct. He approaches numerical notations as a stand-alone technology; this ignores their post-Neolithic emergence from precursors such as fingers, tallies, and tokens, which not only disconnects them from their material prehistories but also obscures useful similarities and trends (e.g., concision). Nonetheless, the book is a masterful work surely destined to become a classic of the anthropological literature.
Psychology Today, 2021
A critique of the 2021 study by Vaesen, Dusseldorp, and Brandt published in Nature Science Reports.
Journal of Cognition and Culture, Jul 31, 2014
A review of Cultural Development of Mathematical Ideas by Geoffrey B. Saxe. Saxe offers a compreh... more A review of Cultural Development of Mathematical Ideas by Geoffrey B. Saxe. Saxe offers a comprehensive treatment of social and linguistic change in the number systems used for economic exchange in the Oksapmin community of Papua New Guinea. By taking the cognition-is-social approach, Saxe positions himself within emerging perspectives that view cognition as enacted, situated, and extended. The approach is somewhat risky in that sociality surely does not exhaust cognition. Brains, bodies, and materiality also contribute to cognition—causally at least, and possibly constitutively as well (as argued by Clark & Chalmers; Renfrew & Malafouris). This omission necessarily excludes the material dimension of numeracy.
Journal of Archaeological Science, 2015
We review Dynamics of Learning in Neanderthals and Modern Humans, a two-volume proceedings of an ... more We review Dynamics of Learning in Neanderthals and Modern Humans, a two-volume proceedings of an international conference held in Tokyo in 2012 on the replacement of Neandertals by modern humans. The series represents an ambitious inquiry into the cultural, psychological, neuroscientific, and physical differences between the two species that may have contributed to the Neandertal demise, and we found it admirable in its multi-disciplinary scope and depth. One of the key hypotheses is that differences in learning abilities might explain the replacement of Neandertals by modern humans. Many of the papers in the first volume examine learning strategies and behaviors in human groups, both prehistoric and extant hunter–gatherer societies, though not within similar cognitive paradigms. Other papers review aspects of cultural evolution, including evolutionary rates of cultural change, niche construction, and innovation. The second volume continues with studies of cognition and psychology, including papers on individual, imitative, and instructive learning, problem-solving, and cognitive flexibility, as well as genetic studies, issues associated with reconstructing fossil crania, and brain morphology.
Writing is one of the key early markers of human civilization, and it has been around for more th... more Writing is one of the key early markers of human civilization, and it has been around for more than 5,000 years. This 5-day international conference will bring together neuroscientists and experts on ancient writing systems with the goal of adding a historical dimension to neuroscience and, for ancient world studies, opening up objective criteria for measuring the efficiency of writing.
The conference aims to foster exchange between scholars active in different fields. To facilitate this dialogue, the conference will combine traditional talks with discussion panels. We invite talks on topics related to: (1) aspects of script usage from different perspectives; (2) neuroanatomical networks and writing-related pathologies; (3) relationship between writing and language; (4) visual form and eye coordination in reading as constituent factors of writing; (5) cognitive load and the role of behaviors in reading; (6) materiality and spatial arrangement of writing; (7) interaction between mind, body and the material technologies of writing; and (8) role of the visual system and object recognition in writing. The conference proceedings will be published.
Paper Length: 20 minutes (plus 10 minutes Q&A)
Languages: English, German, Italian, French
Submission Deadline: 29th February 2024
As space is limited, please send your paper title and abstract of no more than 250 words to asconaconf2024@gmail.com. Selection results will be communicated by 15th March 2024.
The idea of writing: Writing as a system: Emergence, variation, performance (22–23 July, 2016), 2016
Literacy, a key concept in the study of writing systems, has been examined by both neuroscience a... more Literacy, a key concept in the study of writing systems, has been examined by both neuroscience and semiology. Yet reconciling these two perspectives to consider how literacy might have emerged from systems of written signs in pristine original conditions has been challenging (e.g. Harris, 1995). From the material and textual record of the Ancient Near East (Overmann, 2016), a new analysis is offered to explain how literacy emerges from the sustained interactivity of brains (psychological processes like object-recognition and language), bodies (behaviors and skills such as handwriting and hand–eye coordination), and materiality (writing surfaces and implements, as well as the form of written characters). Seen through the lens of material engagement theory (Malafouris, 2013), the manuovisual stimulation inherent in handwriting influences psychological functionality and script form over generations of sustained, collaborative effort. Change in psychological processing enables the materiality of writing to be manipulated into novel forms that stimulate further change in psychological processes and behaviors. The conditions for developing literacy include a conventionalized repertoire of signs written by hand with sufficient repetition (such as the production demand imposed by a state-level bureaucracy) that the functionality of the fusiform gyrus can be co-opted for the cultural invention of writing (i.e. the neural recycling hypothesis of Dehaene & Cohen, 2007). Signs must also be simple enough that they can be produced, repeated, recombined, and changed, and they must be non-numerical for reasons of lexical sufficiency and an ambiguity that motivates increased specificity.
Literacy represents the multigenerational process of realizing a cultural phenotype: a person whose body and brain are trained to interact in a specific way with a particular material form, itself adjusted and elaborated over time to elicit specific behavioral and psychological responses. The phenotype remains fairly easily acquired (assuming conditions of social opportunity and support), likely because it passed through the psychological capabilities and behavioral capacities of so many previous individuals, a regression-to-the-mean effect. Understanding literacy as a phenomenon emerging under specific conditions of sustained material engagement may serve to highlight important differences between writing systems: those that constitute functional writing and reading and those that are truly literate.
Overmann, K. A. (2016). Literacy as cognitive change emerging from material engagement. In The idea of writing: Writing as a system: Emergence, variation, performance (22–23 July, 2016) (p. 15). Basel, Switzerland: NCCR eikones, University of Basel.
Proceedings of the 39th annual meeting of the Cognitive Science Society, 26–29 July 2017, London, England, 2017
What's archaeology got to do with it? Archaeology contributes to cognitive science in two key are... more What's archaeology got to do with it? Archaeology contributes to cognitive science in two key areas. First, in understanding human cognitive evolution, archaeology furnishes critical data on the timing and context of developments (Wynn, 2002). This approach assumes minds make tools: increasing complexity in material forms is an effect of, and thus signals, cognitive change related to neurological developments like encephalization. Second, archaeology provides unique insight into the ways materiality functions within the extended, enacted mind. This inverted approach—tools make minds (Malafouris, 2013)—examines how material forms interact with body and brain to create meaning and experience and potentialize behavioral and psychological change. In both contributions, archaeology negotiates temporalities, centuries to millennia and longer, that can be challenging for psychological theories and methods to assimilate.
Proceedings of the 38th annual meeting of the Cognitive Science Society, 10–13 August 2016, Philadelphia, USA, 2016
Literacy as Cognitive Change Emerging from Material Engagement: Seen through Material Engagement ... more Literacy as Cognitive Change Emerging from Material Engagement: Seen through Material Engagement Theory (Malafouris, 2013), literacy is a cognitive change emerging from specific interactions with material forms (Overmann, 2016). Over multiple generations, the manuovisual stimulation inherent in handwriting influences brain functionality and form, and change in psychological processing facilitates the manipulation of writing and scripts into new, stimulating forms with subsequent impact on neurological functioning. Long-term sustainment of the behaviors required to develop the necessary psychological and material changes is culturally motivated. While each individual must acquire the cognitive change needed to participate in the literate system (to whatever degree it has been developed), multi-generational involvement ensures the cumulative change remains synchronized to average cognitive capabilities. What is ultimately realized is beyond what any one individual could invent but something that most individuals can join. As a collective, cumulative process of cognitive change, literacy provides insight into the cultural evolution of human cognition through psychological–behavioral–material interactivity.
Proceedings of the 36th annual meeting of the Cognitive Science Society, 23–26 July 2014, Quebec City, Canada, 2014
Numeric Cognition from the Perspective of Material Engagement Theory: Accounts of numeric cogniti... more Numeric Cognition from the Perspective of Material Engagement Theory: Accounts of numeric cognition must explain both within-species similarity and cross-cultural variation. Numeric system similarities and differences are examined through the components of numeric cognition: brains, bodies, and material artifacts. Malafouris’ (2013) Material Engagement Theory is applied to material counting technologies (bodies and artifacts) through three main ideas: extended mind, material agency, and the enactive sign. The extended mind hypothesis suggests that numeric cognition includes material devices for counting in a way that goes beyond mere causal linkage. Counting technologies have different affordances, which alters their material agency and varies numeric system outcomes. The enactive significance of material signs is compared to the communicative significance of lexical numbers to suggest that the potential for numeric system elaboration depends, at least in part, on the way in which they differ.
Proceedings of the 20th annual meeting of the European Association of Archaeologists, 10–14 September 2014, Istanbul, Turkey, 2014
Number concepts originate in the innate sense of quantity known as numerosity and develop into ex... more Number concepts originate in the innate sense of quantity known as numerosity and develop into explicit concepts through the interaction of the body with material artifacts that facilitate tactile and discrete representations of quantity. Once numbers are available, they enable ‘time’ to be conceptualized as a quantifiable substance, displacing previous methods of timekeeping based on estimating relations among natural environmental features. Behavioral data for 50 globally dispersed societies were compared on highest number counted and timekeeping beliefs and behaviors. The availability and use of numbers as a cognitive technology structured conceptions of ‘time’ in quantified ways, measured through outcomes such as the increased use of material devices for counting time, division of time into finer gradations, counting of human age, and structuring of time into epochs, as well as the decreased use of estimation techniques for timekeeping. However, the availability of numbers did not change the prevalence of finger-counting or astronomical myths, association of menstrual and lunar cycles, or use of seasonal variation for timekeeping. The cultural nexus in which quantification and timekeeping develop (i.e., context, value, and artifacts) has implications for interpreting prehistoric artifacts, as well as the possible complexity of the associated culture and availability of numbers in language.
Proceedings of the 3rd annual meeting of the European Society for the Study of Human Evolution, 19–21 September 2013, Vienna, Austria, 2013
The present paper discusses the innate cognitive ability for quantity appreciation—numerosity—and... more The present paper discusses the innate cognitive ability for quantity appreciation—numerosity—and its implications for interpreting the archaeological record. Numerosity is the ability to recognize discrete quantities up to three or four (subitization) and quantity differences of ‘bigger’ and ‘smaller’ above that level (magnitude appreciation), characteristics governed by the Weber constant of just-noticeable differences. Numerosity is shared across species, even fish, and it appears in human infants well before they acquire language. The phylogenetic distribution and prelinguistic manifestation suggest numerosity is innate and evolutionarily adaptive, enabling organisms to exploit resources and avoid threats. In primates, numerosity is a function of the intraparietal sulcus of the parietal lobe, which also performs functions of spatial awareness and multi-modal association (Bruner, 2010). In humans, evolutionarily new regions in the intraparietal sulcus contribute to enhanced visual representation and fine motor control of the fingers (Orban et al., 2006). This unique neurocognitive architecture enables humans to express the quantity sense as concepts of number (Coolidge & Overmann, 2012).
Proceedings of the 119th annual meeting of the American Psychological Association, Washington, DC, August 4–7, 2011, 2011
Overmann, K. A., & Coolidge, F. L. (2011). Numerosity, abstraction and the evolution of symbolic ... more Overmann, K. A., & Coolidge, F. L. (2011). Numerosity, abstraction and the evolution of symbolic thinking (poster). In Proceedings of the 119th American Psychological Association, Washington, D.C., August 4–7, 2011. APA PsycEXTRA.
Proceedings of the 2nd European Society for the Study of Human Evolution, Bordeaux, France, 2012
The present paper proposes that developmental reorganization enabled the synergistic integration ... more The present paper proposes that developmental reorganization enabled the synergistic integration of key cognitive processes to help transformed the nonintegrated hominid cognitive architecture proposed by Mithen (1996) into an integrated one and reexamines his analysis of behavioral signatures of cognitive integration in the archaeological record. Mithen’s cognitive architecture consisted of discrete intelligence modules with either “barriers” between them prohibiting their interaction or “lowered” barriers enabling synergistic interaction; however, he did not propose a mechanism for the integration of general, social, natural history, and technical intelligences and language that yielded the modern human mind.
Proceedings of the 82nd annual meeting of the Rocky Mountain Psychological Association, 12–14 April 2012, Reno, Nevada, 2012
This study sought to develop and evaluate a new measure of Schizoid Personality Disorder (SPD), t... more This study sought to develop and evaluate a new measure of Schizoid Personality Disorder (SPD), the Self-Reported Scale for Schizoid Behaviors (SRSSB). Based on DSM-IV-TR criteria, items were generated, evaluated, and distributed to a large sample of undergraduate students. The number of items was reduced to produce a 14–item measure that assessed each of the seven DSM-IV-TR criteria for an SPD diagnosis. Cronbach’s alpha was used to assess the internal consistency of the items and suggested that the SRSSB was a reliable measure of SPD. The Schizoid subscale of the Coolidge Axis II Inventory (CATI), an established personality assessment, was used to evaluate the validity of the SRSSB. A strong, positive correlation with the Schizoid subscale of the CATI provided convergent validity for the SRSSB. In addition, there were strong, positive correlations between the Schizoid subscale of the CATI and the SRSSB upon a measure of introversion. Although we hypothesized that a single dimension would best define SPD and thus the SRSSB, a single dimension may not sufficiently explain the representation of SPD. The findings from the current study provided support for the SRSSB as a reliable and valid measure of SPD.
The first four authors contributed equally to the original version of this work, which was based on a scale development assignment in Multivariate Statistics, taught by Dr. Kelli J. Klebe, Department of Psychology, University of Colorado, Colorado Springs. The final author was the faculty sponsor for the presentation to the Rocky Mountain Psychological Association (RMPA) Annual Convention, Reno, Nevada (April 2012). Paper revised and presented to conference by Peter D. Marle.
Talk presented to the Centre for the Study of Manuscript Cultures, University of Hamburg, Germany... more Talk presented to the Centre for the Study of Manuscript Cultures, University of Hamburg, Germany, 26 October 2024. The material record of Ancient Near Eastern artifacts and writing is one of the longest and most extensive known in duration and scope. The record substantiates detailed chronological change in material forms that provide novel insights into the development of complex cultural systems like literacy and numeracy. For example, in literacy, change in written form can be related to change in psychological functioning (e.g. the fusiform gyrus becomes trained to recognize written objects through combinations of their local and global features, relaxing the need to maintain the depictiveness that characterized archaic signs). For numeracy, the sequence of artifacts used for counting-fingers, tallies, tokens, and numerical notations-can be analyzed for their effects on numerical content, structure, and organization, improving the understanding of how complex mathematical systems are elaborated from the perceptual experience of quantity. Both avenues of inquiry have significant potential to inspire new interdisciplinary engagement between writing and number systems research, archaeology, and neuroscience.
Q&A discussion with the Embodied Design Research Laboratory at the University of California at Be... more Q&A discussion with the Embodied Design Research Laboratory at the University of California at Berkeley, conducted online on 27 February 2024. The discussion was focused on Chapters 7 and 8 of The Materiality of Numbers: Emergence and Elaboration from Prehistory to Present (2023, Cambridge University Press).
Talk presented to the Hope Academy of Senior Professionals (HASP), Hope College, 16 November 2023... more Talk presented to the Hope Academy of Senior Professionals (HASP), Hope College, 16 November 2023. Early in the 19th century, two gentlemen explorers returned to France from circumnavigating the globe with the wild tale that the inhabitants of New Zealand counted by elevens. In Part 1, we cover the history of this curious idea. In Part 2, we look at whether it represented a prank by the islanders, a hoax on the part of the Frenchmen, or a cultural misunderstanding between the two. In Part 3, we learn about the clever method of counting known as tally-counting that the curious idea hid in plain sight for nearly two hundred years. This publication is part of a project that received funding from the European Union's Horizon 2020 research and innovation program under grant agreement No. 785793.
Sign and symbol in comparative perspective, 2023
Talk presented to "Sign and symbol in comparative perspective," University of Warsaw, 20 June 202... more Talk presented to "Sign and symbol in comparative perspective," University of Warsaw, 20 June 2023. Written numbers first appeared in Mesopotamia about 6000 years ago. Part I of this talk discusses what makes a written number different from other forms of writing. An important characteristic is that written numerical notations not only follow precursor technologies (for example, tokens, linear marks, and beads), they also share many properties with them (including how they represent numerical meaning). Part II reviews how a written number can be unambiguously identified as a number and various methods and techniques. Part III is focused on potential precursor technologies and how these might be recognized in the archaeological record.
Human cognition evolution is often assumed to have essentially finished in the Upper Paleolithic,... more Human cognition evolution is often assumed to have essentially finished in the Upper Paleolithic, the idea being that what cognition was 40 or 50 thousand years ago is what cognition is now. However, post-Neolithic technologies like writing systems and the emergence of forms like scripts can illustrate how and why our interactions with material forms change our cognition, especially within the past 10,000 years. In this presentation, how scripts-writing that can only be read with acquired changes in behaviors and brains-emerged from small pictures is reviewed and used to illuminate the role of the material form in human cognition. The question raised is how such culturally acquired changes might then inform evolutionary change in brain function and form.
Talk presented to "Spacious Spatiality," Society for Multidisciplinary and Fundamental Research (... more Talk presented to "Spacious Spatiality," Society for Multidisciplinary and Fundamental Research (SEMF), University of Edinburgh, 26 May 2022. We explore the evolutionary emergence of modern spatial abilities, as reconstructed from the archaeological record of stone tools, a record that spans over three million years. This record shows that the ability to hold an allocentric (bird’s eye) view of space was in place by 500,000 years ago. We then discuss the dispersal of the human species across the planet, which occurred within the past 200,000 years, focusing on the migrations into Australia, the Americas, and the Pacific region within the past 60,000 years. These migrations suggest that traditional societies deal with space on three, overlapping, scales. From largest to smallest, these are navigating the unknown (the allocentric view and survey knowledge), traveling the known (the egocentric view and route knowledge), and measuring cultural space (which begins with the body). We end by connecting the last to the emergence of geometry, the science of space and shape.
Talk presented to “Writing, a cultural-historical and neuroscientific approach,” University of Be... more Talk presented to “Writing, a cultural-historical and neuroscientific approach,” University of Bern, 27 October 2021. Writing is presented as a system composed of brains, bodies, and material forms. The ways in which writing changes over time are highlighted, as these provide us with insight into change in ancient behaviors and brains in the historical development of writing. How and why numbers differ from other writing are reviewed. Finally, reading is analyzed as a cognitive system that necessarily involves a material form, the idea that cognition is extended and enactive.
Talk presented to “Exchange of knowledge between literature cultures,” Department of Cross-Cultur... more Talk presented to “Exchange of knowledge between literature cultures,” Department of Cross-Cultural and Regional Studies, University of Copenhagen, 19 July 2021. Notations for numbers represent in a fundamentally different manner from writing for nonnumerical language: numbers instantiate quantity, while signs for language signify through resemblance and convention. Simply, three cuneiform wedges are three, while a picture of a head means something related to what it looks like-for example, a man, a head, a face, etc. Because they instantiate quantity, notations for numbers are unambiguously meaningful without phonetic specification, and in fact work better as numbers without the visual complexity it would add, the difference between 7 and seven. These qualities enable numerical notations to cross linguistic and cultural barriers with unusual ease and speed, often with little to no change in their form or meaning. In comparison, writing for language is generally ambiguous until it is specified, typically by incorporating strategies like identifying the type of word (determinatives) or providing clues to its pronunciation (phonography). Not all writing systems incorporate such strategies and rely instead on memorisation and interpretation. In writing systems that do incorporate strategies for specificity, signs increase in visual complexity, and crossing linguistic and cultural barriers means they must represent new sounds and different meanings, with both having significant potential to alter form and meaning. These differences in representational modes are ultimately traceable to neurofunctional and behavioural aspects of the cognitive systems for numbers and writing.
Talk presented to "Numerous Numerosity," Society for Multidisciplinary and Fundamental Research (... more Talk presented to "Numerous Numerosity," Society for Multidisciplinary and Fundamental Research (SEMF), University of Edinburgh, 26 May 2021. Numbers are perhaps the longest-lived cultural system the world has ever known, but we still do not know how old numbers might be, or where and why they might have emerged, or in what form. Investigating these matters is necessarily an inferential endeavor. However, archaeological evidence alone is likely insufficient. Insights from psychology, linguistics, and ethnography have implications for how we might examine and interpret the archaeological record for signs of prehistoric numeracy, perhaps even calling into question some of the assumptions and methods currently in use. Some of the most pressing issues are reviewed, and recommendations are offered for incorporating interdisciplinary data and insights into archaeological investigations and interpretations.
Talk presented to "SCRIBO" (the INSCRIBE ERC Project), University of Bologna, 19 May 2021. This t... more Talk presented to "SCRIBO" (the INSCRIBE ERC Project), University of Bologna, 19 May 2021. This talk examines the labels “abstract” and “concrete” in terms of what they mean in philosophy, psychology, and mathematics. These labels and the purported distinction between the two have been applied and, arguably, misapplied to Mesopotamian numbers, particularly the Neolithic tokens. The conceptual change they refer to can be understood, not as attaining a new state of abstractness from a previous state of concreteness, but rather, as a prototypical process of conceptual change, or numerical realization and elaboration, by means of material devices like tokens and writing. Four ways in which writing changed numbers will be mentioned, noting that some of the changes commonly associated with writing were already well underway in conjunction with the Neolithic tokens, while others were still in progress as late as the European Middle Ages. Finally, by drawing on case studies from Africa and Polynesia, new ways of understanding highly elaborated but non-notationally mediated number systems will be offered.
Lecture, 2017
A talk on Jane Austen presented as part of the Theatreworks Prologue series in conjunction with t... more A talk on Jane Austen presented as part of the Theatreworks Prologue series in conjunction with their adaptation of Pride and Prejudice for the stage.
Talk presented at the Conference on "Contexts of and Relations between Early Writing Systems (CRE... more Talk presented at the Conference on "Contexts of and Relations between Early Writing Systems (CREWS)," University of Cambridge, 15 March 2019. Though words on a page may appear static, permanent to the degree that paper persists and ink is legible, writing is a material form that changed over millennia to become highly capable of eliciting specific behavioral and psychological responses in its users. In understanding how early societies became literate, it goes without saying that ancient brains cannot be studied directly. However, neuroscience provides insight into ontogenetic change in literacy, and the archaeological record provides material forms like writing that attest behaviors like handwriting and imply psychological processes like object-recognition and language. Change in material form then implies change in behaviors and brains. Such analysis requires a material record with sufficient duration and extent, as well as a cognitive state understood well enough that change in material form can suggest change in behaviors and brains. Initial analysis of Mesopotamian writing for language and numbers yields insight into how mundane use of writing by average people ultimately develops into cultural systems so complex they cannot be realized by single individuals or generations alone. It illuminates how distinct neurofunctional and behavioral pressures influence written forms for language and numbers, affecting how such forms change across languages and cultures. It also has implications for current models of tool use, cognition, and creativity, which focus on individual, rather than group, tool use. Future applications might develop models with nominal timelines, critical changes in psychological processing and script form and function, temporal sequencing, functional interdependencies, and literacy-related social change. This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No. 785793.
The Material Origin of Numbers, Gorgias Press, 2016
The dataset contains Neolithic artifacts from the Ancient Near East identified as tokens. Data on... more The dataset contains Neolithic artifacts from the Ancient Near East identified as tokens. Data on 8,477 tokens were drawn from Schmandt-Besserat (1992), Before Writing, Vol. II: A Catalogue of Near Eastern Tokens. This catalogue was converted to electronic format with the permission of the author and her publisher for analyses conducted as part of a doctoral research project at the University of Oxford (2013–2016). With Schmandt-Besserat’s permission and assistance, her data were expanded with over 2,352 new finds sourced from 30 documents. The data were analyzed in:
Overmann, Karenleigh A. (2016). Materiality in numerical cognition: Material Engagement Theory and the counting technologies of the Ancient Near East. DPhil thesis, University of Oxford.
Overmann, Karenleigh A. (2019). The material origin of numbers: Insights from the archaeology of the Ancient Near East. Gorgias Studies in the Ancient Near East 14. Piscataway, NJ: Gorgias Press.
Analytical data for EU project 785793
The bibliography lists the resources used to characterize counting practices in Polynesia and map... more The bibliography lists the resources used to characterize counting practices in Polynesia and map their geographic distribution. The data were analyzed in:
Overmann, Karenleigh A. (2020). The curious idea that Māori once counted by elevens, and the insights it still holds for cross-cultural numerical research, Journal of the Polynesian Society.
Overmann, Karenleigh A. (2020). Counting by “elevens” and why nine and two make twenty: The material roots of Polynesian numbers. Journal of Mathematics and Culture. Forthcoming.
This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No. 785793.
Analytical data for EU project 785793, 2020
Three Oceanian counting methods are presented as Excel algorithms: tally-counting, found througho... more Three Oceanian counting methods are presented as Excel algorithms: tally-counting, found throughout Polynesia; binary counting, found in Mangareva (eastern Polynesia); and yam-counting, found in Papua New Guinea. The data were analyzed in:
Overmann, Karenleigh A. (2020). The curious idea that Māori once counted by elevens, and the insights it still holds for cross-cultural numerical research, Journal of the Polynesian Society.
Overmann, Karenleigh A. (2020). Counting by “elevens” and why nine and two make twenty: The material roots of Polynesian numbers. Journal of Mathematics and Culture. Forthcoming.
This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No. 785793.
Beyond Writing, Cambridge Archaeological Journal, 2018
Chronology of change in Ancient Near Eastern writing in seven dimensions. The possible onset of t... more Chronology of change in Ancient Near Eastern writing in seven dimensions. The possible onset of true literacy is represented by the dashed vertical green line. Horizontal lines: Dashed = some evidence; solid = widespread evidence; the rightmost dashed line for Sumerian signifies that the language was no longer spoken but continued to be used in writing. JN = Jemdet Nasr; ED = Early Dynastic; OA = Old Assyrian; OB = Old Babylonian; MA = Middle Assyrian; NA = Neo-Assyrian; NB = Neo-Babylonian. Sources of data: Bramanti, 2015; Charpin 2000; Cooper 1996, 2004; Englund 1998; Hyman 2006; Krispijn 2012; Schmandt-Besserat 1992; Taylor 2011, 2015; Veldhuis 2011, 2012, 2014. The data were analyzed in:
Overmann, Karenleigh A. (2016). Beyond writing: The development of literacy in the Ancient Near East. Cambridge Archaeological Journal, 26(2), 285–303. See Figure 9, p. 297.
Overmann, Karenleigh A. (2016). Materiality in numerical cognition: Material Engagement Theory and the counting technologies of the Ancient Near East. DPhil thesis, University of Oxford.
Overmann, Karenleigh A. (2019). The material origin of numbers: Insights from the archaeology of the Ancient Near East. Gorgias Studies in the Ancient Near East 14. Piscataway, NJ: Gorgias Press.
Darcy and Emma, Persuasions: The Jane Austen Journal, 2017
Diagram of central characters and plot lines in two novels by Jane Austen: Pride and Prejudice (1... more Diagram of central characters and plot lines in two novels by Jane Austen: Pride and Prejudice (1813) and Emma (1815). The parallels show that Emma is Pride and Prejudice retold from Darcy’s point of view with the genders of the characters reversed (men become women, women men). This whimsical antecedent accounts for why Emma may strike contemporary readers as uncommonly modern for an Austen heroine: She takes a lot of male privilege to herself, something that would have made her anomalous in her own day. Four writers likely influenced this gendered topsy-turvy: Samuel Richardson, Henry Fielding, William Shakespeare, and the Reverend James Fordyce. The data were analyzed in:
Overmann, Leee [Karenleigh A.]. "Darcy and Emma: Jane Austen’s ironic meditation on gender." Persuasions: The Jane Austen Journal 31 (2009): 222–35. Print.
Materiality in numerical cognition: Material Engagement Theory and the counting technologies of the Ancient Near East, Aug 15, 2016
Using the Material Engagement Theory of Cognitive Archaeologist Lambros Malafouris as its framewo... more Using the Material Engagement Theory of Cognitive Archaeologist Lambros Malafouris as its framework, the thesis offers a unique synthesis of data from neuroscience, ethnography, linguistics, and archaeology to outline how number concepts are realized, manipulated, and elaborated. The process is described as an interactivity of psychological processes like numerosity, behaviors that manipulate objects into concept-generating stimuli, and material objects with semiotic qualities distinct from those of language and agency distinct from that of brains and bodies.
The counting technologies of the Ancient Near East (ANE) are then analyzed through archaeological and textual evidence spanning the late Upper Paleolithic to the Bronze Age, from the first realization of number concepts in a pristine original condition to their elaboration into one of the ancient world’s greatest mathematical traditions, a foundation for mathematical thinking today. Insights from the way numbers are realized through psychological–behavioral–material interactivity are used to challenge three dominant conceptualizations of ANE numbers: first, the idea that the ANE numerical lexicon would have counted only to very low numbers; second, that Neolithic tokens were the first counting technology; and third, that numbers were ‘concrete’ before they became ‘abstract’. Considering archaeological evidence from the Epipaleolithic Levant and drawing on linguistic and ethnographic evidence to characterize the regional prehistory, the thesis suggests that the numerical lexicon would have included relatively high numbers prior to the Neolithic; that finger-counting (linguistically attested) and tallies (archaeologically attested) would have preceded tokens; and that numbers are ‘abstract’ concepts whose content changes in conjunction with the incorporation and use of different material forms. The evidence provided to support these alternatives implies that numbers may have originated in the late Upper Paleolithic and arithmetic early in the Neolithic, pushing the onset of these capabilities further back than is commonly held.
In addition to tallies and tokens, the thesis explores fingers and numerical notations as material artifacts, enabling an analysis of how materiality might structure numerical concepts, influence a number system’s capabilities, limitations, and elaboration potential, and affect brains and behavior over cultural spans of time. Insights generated by the case study are then applied to the role of materiality in cognition more generally, including how concepts become distributed across multiple material forms; the reasons why materiality might be transparent (or invisible) in cognition; and the differences between thinking through and thinking about materiality.
University of Oxford, 2016
Using the Material Engagement Theory of Cognitive Archaeologist Lambros Malafouris as its framewo... more Using the Material Engagement Theory of Cognitive Archaeologist Lambros Malafouris as its framework, the thesis offers a unique synthesis of data from neuroscience, ethnography, linguistics, and archaeology to outline how number concepts are realized, manipulated, and elaborated. The process is described as an interactivity of psychological processes like numerosity, behaviors that manipulate objects into concept-generating stimuli, and material objects with semiotic qualities distinct from those of language and agency distinct from that of brains and bodies.
The counting technologies of the Ancient Near East (ANE) are then analyzed through archaeological and textual evidence spanning the late Upper Paleolithic to the Bronze Age, from the first realization of number concepts in a pristine original condition to their elaboration into one of the ancient world’s greatest mathematical traditions, a foundation for mathematical thinking today. Insights from the way numbers are realized through psychological–behavioral–material interactivity are used to challenge three dominant conceptualizations of ANE numbers: first, the idea that the ANE numerical lexicon would have counted only to very low numbers; second, that Neolithic tokens were the first counting technology; and third, that numbers were ‘concrete’ before they became ‘abstract’. Considering archaeological evidence from the Epipaleolithic Levant and drawing on linguistic and ethnographic evidence to characterize the regional prehistory, the thesis suggests that the numerical lexicon would have included relatively high numbers prior to the Neolithic; that finger-counting (linguistically attested) and tallies (archaeologically attested) would have preceded tokens; and that numbers are ‘abstract’ concepts whose content changes in conjunction with the incorporation and use of different material forms. The evidence provided to support these alternatives implies that numbers may have originated in the late Upper Paleolithic and arithmetic early in the Neolithic, pushing the onset of these capabilities further back than is commonly held.
In addition to tallies and tokens, the thesis explores fingers and numerical notations as material artifacts, enabling an analysis of how materiality might structure numerical concepts, influence a number system’s capabilities, limitations, and elaboration potential, and affect brains and behavior over cultural spans of time. Insights generated by the case study are then applied to the role of materiality in cognition more generally, including how concepts become distributed across multiple material forms; the reasons why materiality might be transparent (or invisible) in cognition; and the differences between thinking through and thinking about materiality.
University of Colorado, Colorado Springs, Feb 15, 2013
The study examined how numbers as a cognitive technology develops from material scaffolds and str... more The study examined how numbers as a cognitive technology develops from material scaffolds and structures a cognitive domain such as time. Number concepts originate in numerosity and develop into explicit concepts through artifactual scaffolding that facilitates tactile and discrete representation. Once available, numbers structure time as a quantifiable substance, displacing methods of timekeeping based on estimating relations among natural environmental features. The method used was that of cross-cultural psychology. Behavioral data for 50 globally dispersed societies were compared to an index of material complexity. Variables of interest included highest number counted and timekeeping beliefs and behaviors. Significant correlations were found in five hypotheses relating increased cultural complexity to increased numeration system complexity and the increased use of quantification in timekeeping (small-to-medium effect sizes or greater). Three additional hypotheses were non-significant, demonstrating stability in finger-counting, social identity domains, and resourcing pragmatics, despite increased availability of numbers. While establishing causality was outside the scope, the results suggest the increased availability and use of numbers acts to structure conceptions of ‘time’ in quantified ways, measured through behaviors such as the increased use of material devices for counting time, the division of time into finer gradations, the counting of human age, the structuring of time into epochs, and the decreased use of height estimation techniques for timekeeping. However, the availability of numbers did not change the prevalence of finger-counting, astronomical myths, associating menstrual and lunar cycles, or using seasonal variation for timekeeping.