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Research paper thumbnail of "Mortals Lay Down Trusting to be True"

Epoché, 2017

The goddess's speech in Parmenides's fragments is framed by the opinions of mortals in at least t... more The goddess's speech in Parmenides's fragments is framed by the opinions of mortals in at least two ways. First, the journey of the proem starts in the world described by mortals' opinions, and the second part of the goddess's speech explores those opinions. Second, throughout her speech, the goddess invokes features of the world according to mortals' opinions-negation, coming-to-be, destruction-even when she is arguing for a road of inquiry that excludes those features. Further, we study the fragments by means of the definitions and claims regarding what-is that we use to function and communicate in our mortal lives. This paper proposes to approach the fragments with an awareness of this framing. A result is that the logical conclusion of accepting mortals' opinions is that mortals' opinions are flawed; and that result is based on flawed opinions. The goddess's account thus presents something like a Liar Paradox.

Research paper thumbnail of Parmenides, Liars, and Mortal Incompleteness

Proceedings of the Boston Area Colloquium in Ancient Philosophy

On the road of inquiry that Parmenides’ goddess recommends, one is to say and conceive that what-... more On the road of inquiry that Parmenides’ goddess recommends, one is to say and conceive that what-is is one, unmoving, continuous, ungenerated, undestroyed, complete, and undivided. Yet the goddess’s arguments in favor of this road use negations, distinctions, divisions, and references to generation and destruction. The requisites of inquiry that she outlines are both defined on and at odds with other features that inquiry appears to require. This essay argues that the goddess’s arguments manifest something like a liar paradox: She demonstrates on the basis of the opinions of mortals that mortals’ opinions are flawed. If so, then the goddess’s arguments do not establish that what-is is one and unchanging. What they show is that what inquiry and inference seem to require, given the opinions of mortals, is at odds with itself. To refer to what-is is to make aletheia impossible to reach. To be mortal, for Parmenides, is to journey through that incompleteness.

Research paper thumbnail of Commentary on Marmodoro 


Proceedings of the Boston Area Colloquium in Ancient Philosophy

This paper comments on Anna Marmodoro’s “Stoic Blends.” That essay argues that the “Eleatic Princ... more This paper comments on Anna Marmodoro’s “Stoic Blends.” That essay argues that the “Eleatic Principle” is central to Stoic conceptions of what is. It also investigates a key difference between Stoic and Aristotelian conceptions of the roles of form and matter in constituting what is: the Stoics’ insistence that form and matter are bodies, and their concomitant assertion that more than one independent body can occupy the exact same place. The present comment explores the relationships between the “Eleatic Principle,” the arguments of the historical Eleatics, and Aristotle’s hylomorphism.

Research paper thumbnail of Inquiry and What Is

Research paper thumbnail of Mortals Lay Down Trusting to be True

Epoché, 2017

The goddess’s speech in Parmenides’ fragments is framed by the opinions of mortals in at least tw... more The goddess’s speech in Parmenides’ fragments is framed by the opinions of mortals in at least two ways. First, the journey of the proem starts in the world described by mortals’ opinions, and the second part of the goddess’s speech explores those opinions. Second, throughout her speech, the goddess invokes features of the world according to mortals’ opinions — negation, coming-to-be, destruction — even when she is arguing for a road of inquiry that excludes those features. Further, we study the fragments by means of the definitions and claims regarding what-is that we use to function and communicate in our mortal lives. This paper proposes to approach the fragments with an awareness of this framing. A result is that the logical conclusion of accepting mortals’ opinions is that mortals’ opinions are flawed; and that result is based on flawed opinions. The goddess’s account thus presents something like a Liar Paradox.

Research paper thumbnail of Inquiry and What Is: Eleatics and Monisms

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Research paper thumbnail of What is Eleatic about the Eleatic Stranger?

Research paper thumbnail of Culture and the Kalos: Inquiry, Justice, and Value in Locke and Aristotle

Research paper thumbnail of Why Matter? Aristotle, the Eleatics, and the Possibility of Explanation

Graduate faculty philosophy journal

Research paper thumbnail of Modernity, Philosophy, and the Color Line

Research paper thumbnail of Causation as a core concept in conflict analysis

Handbook of Conflict Analysis and Resolution, 2008

Research paper thumbnail of Why Matter?

Graduate Faculty Philosophy Journal, 2005

Research paper thumbnail of Light, Night, and the Opinions of Mortals

Research paper thumbnail of Model Theory of Ultrafinitism I: Fuzzy Initial Segments of Arithmetics

This article is the first of an intended series of works on the model theory of Ultrafinitism. It... more This article is the first of an intended series of works on the model theory of Ultrafinitism. It is roughly divided into two parts. The first one addresses some of the issues related to ultrafinitistic programs, as well as some of the core ideas proposed thus far. The second part of the paper presents a model of ultrafinitistic arithmetics based on the notion of fuzzy initial segments of the standard natural numbers series. We also introduce a proof theory and a semantics for ultrafinitism through which feasibly consistent theories can be treated on the same footing as their classically consistent counterparts. We conclude with a brief sketch of a foundational program, that aims at reproducing the transfinite within the finite realm. 1 Preamble To the memory of our unforgettable friend Stanley "Stan" Tennenbaum (1927 − 2005), Mathematician, Educator, Free Spirit As we have mentioned in the abstract, this article is the first one of a series dedicated to ultrafinitistic themes. First papers often tend to take on the dress of manifestos, road maps, or both, and this one is no exception. It is the revised version of an invited conference talk, and was meant from the start for a quite large audience of philosophers, logicians, computer scientists, and mathematicians, who might have some interest in the ultrafinite. Therefore, neither the philosophico-historical, nor the mathematical side, are meant to be detailed investigations. Instead, a number of items, proposals, questions, etc. are raised, which will be further explored in subsequent works of the series. Our chief hope is that readers will find the overall "flavor" a bit "Tennenbaumian". And friends of Stan, old and new, know what we mean. . .

Research paper thumbnail of Justice, Change, and Knowledge: Aristotle, Parmenides, and Melissus on Genesis and Natural Science

A Companion to Ancient Philosophy (ed. Eric Sanday and Sean Kirkland), 2018

Aristotle extensively criticized Eleatic treatments of phusis (roughly, nature). At De Caelo III ... more Aristotle extensively criticized Eleatic treatments of phusis (roughly, nature). At De Caelo III 298b12-25, however, he allows that some Eleatics spoke rightly on at least some things. What does Aristotle think that those around Parmenides and Melissus got right? How is this related to the study of nature? This essay argues that Aristotle, Parmenides, and Melissus all associated the quest for understanding with accepting that somethings is permanent and stable. Like Parmenides, Aristotle was concerned to discover what we would need to say and conceive in order to seek reasoned understanding. Aristotle diverged from Parmenides and Melissus by exploring a way to delineate an area in which some limited grasp of movement and change would be possible, a conceptual space wherein the account of movement and change would be coherent and internally consistent.

Research paper thumbnail of Sex, Gender, and Class in the Poem of Parmenides: Difference without Dualism?

American Journal of Philology, 2019

Parmenides has been criticized as denying and disparaging human diversity; anathematizin... more Parmenides has been criticized as denying and disparaging human diversity; anathematizing sex, reproduction, and bodies; supporting the suppres­sion of women and others outside the Greek ruling classes; and silencing important concerns by excluding certain kinds of thought and reasoning from philosophical and civil discourse. I argue that the fragments do not support these charges, and that instead Parmenides provides ideas and ways of thinking that subvert the kinds of doctrine and ways of philosophizing he is accused of promoting.

Research paper thumbnail of " Mortals Lay Down Trusting to be True "

The goddess’s speech in Parmenides’ fragments is framed by the opinions of mortals in at least tw... more The goddess’s speech in Parmenides’ fragments is framed by the opinions of mortals in at least two ways. First, the journey of the proem starts in the world described by mortals’ opinions, and the second part of the goddess’s speech explores those opinions. Second, throughout her speech, the goddess invokes features of the world according to mortals’ opinions — negation, coming-to-be, destruction — even when she is arguing for a road of inquiry that excludes those features. Further, we study the fragments by means of the definitions and claims regarding what-is that we use to function and communicate in our mortal lives. This paper proposes to approach the fragments with an awareness of this framing. A result is that the logical conclusion of accepting mortals’ opinions is that mortals’ opinions are flawed; and that result is based on flawed opinions. The goddess’s account thus presents something like a Liar Paradox.

Research paper thumbnail of A very short history of ultrafinitism

Research paper thumbnail of A very short history of ultrafinitism

Theorems, Philosophies, 2011

Research paper thumbnail of Model Theory of Ultrafinitism I: Fuzzy Initial Segments of Arithmetics

This article is the first of an intended series of works on the model theory of Ultrafinitism. It... more This article is the first of an intended series of works on the model theory of Ultrafinitism. It is roughly divided into two parts. The first one addresses some of the issues related to ultrafinitistic programs, as well as some of the core ideas proposed thus far. The second part of the paper presents a model of ultrafinitistic arithmetics based on the notion of fuzzy initial segments of the standard natural numbers series. We also introduce a proof theory and a semantics for ultrafinitism through which feasibly consistent theories can be treated on the same footing as their classically consistent counterparts. We conclude with a brief sketch of a foundational program, that aims at reproducing the transfinite within the finite realm.

Research paper thumbnail of "Mortals Lay Down Trusting to be True"

Epoché, 2017

The goddess's speech in Parmenides's fragments is framed by the opinions of mortals in at least t... more The goddess's speech in Parmenides's fragments is framed by the opinions of mortals in at least two ways. First, the journey of the proem starts in the world described by mortals' opinions, and the second part of the goddess's speech explores those opinions. Second, throughout her speech, the goddess invokes features of the world according to mortals' opinions-negation, coming-to-be, destruction-even when she is arguing for a road of inquiry that excludes those features. Further, we study the fragments by means of the definitions and claims regarding what-is that we use to function and communicate in our mortal lives. This paper proposes to approach the fragments with an awareness of this framing. A result is that the logical conclusion of accepting mortals' opinions is that mortals' opinions are flawed; and that result is based on flawed opinions. The goddess's account thus presents something like a Liar Paradox.

Research paper thumbnail of Parmenides, Liars, and Mortal Incompleteness

Proceedings of the Boston Area Colloquium in Ancient Philosophy

On the road of inquiry that Parmenides’ goddess recommends, one is to say and conceive that what-... more On the road of inquiry that Parmenides’ goddess recommends, one is to say and conceive that what-is is one, unmoving, continuous, ungenerated, undestroyed, complete, and undivided. Yet the goddess’s arguments in favor of this road use negations, distinctions, divisions, and references to generation and destruction. The requisites of inquiry that she outlines are both defined on and at odds with other features that inquiry appears to require. This essay argues that the goddess’s arguments manifest something like a liar paradox: She demonstrates on the basis of the opinions of mortals that mortals’ opinions are flawed. If so, then the goddess’s arguments do not establish that what-is is one and unchanging. What they show is that what inquiry and inference seem to require, given the opinions of mortals, is at odds with itself. To refer to what-is is to make aletheia impossible to reach. To be mortal, for Parmenides, is to journey through that incompleteness.

Research paper thumbnail of Commentary on Marmodoro 


Proceedings of the Boston Area Colloquium in Ancient Philosophy

This paper comments on Anna Marmodoro’s “Stoic Blends.” That essay argues that the “Eleatic Princ... more This paper comments on Anna Marmodoro’s “Stoic Blends.” That essay argues that the “Eleatic Principle” is central to Stoic conceptions of what is. It also investigates a key difference between Stoic and Aristotelian conceptions of the roles of form and matter in constituting what is: the Stoics’ insistence that form and matter are bodies, and their concomitant assertion that more than one independent body can occupy the exact same place. The present comment explores the relationships between the “Eleatic Principle,” the arguments of the historical Eleatics, and Aristotle’s hylomorphism.

Research paper thumbnail of Inquiry and What Is

Research paper thumbnail of Mortals Lay Down Trusting to be True

Epoché, 2017

The goddess’s speech in Parmenides’ fragments is framed by the opinions of mortals in at least tw... more The goddess’s speech in Parmenides’ fragments is framed by the opinions of mortals in at least two ways. First, the journey of the proem starts in the world described by mortals’ opinions, and the second part of the goddess’s speech explores those opinions. Second, throughout her speech, the goddess invokes features of the world according to mortals’ opinions — negation, coming-to-be, destruction — even when she is arguing for a road of inquiry that excludes those features. Further, we study the fragments by means of the definitions and claims regarding what-is that we use to function and communicate in our mortal lives. This paper proposes to approach the fragments with an awareness of this framing. A result is that the logical conclusion of accepting mortals’ opinions is that mortals’ opinions are flawed; and that result is based on flawed opinions. The goddess’s account thus presents something like a Liar Paradox.

Research paper thumbnail of Inquiry and What Is: Eleatics and Monisms

RefDoc Bienvenue - Welcome. Refdoc est un service / is powered by. ...

Research paper thumbnail of What is Eleatic about the Eleatic Stranger?

Research paper thumbnail of Culture and the Kalos: Inquiry, Justice, and Value in Locke and Aristotle

Research paper thumbnail of Why Matter? Aristotle, the Eleatics, and the Possibility of Explanation

Graduate faculty philosophy journal

Research paper thumbnail of Modernity, Philosophy, and the Color Line

Research paper thumbnail of Causation as a core concept in conflict analysis

Handbook of Conflict Analysis and Resolution, 2008

Research paper thumbnail of Why Matter?

Graduate Faculty Philosophy Journal, 2005

Research paper thumbnail of Light, Night, and the Opinions of Mortals

Research paper thumbnail of Model Theory of Ultrafinitism I: Fuzzy Initial Segments of Arithmetics

This article is the first of an intended series of works on the model theory of Ultrafinitism. It... more This article is the first of an intended series of works on the model theory of Ultrafinitism. It is roughly divided into two parts. The first one addresses some of the issues related to ultrafinitistic programs, as well as some of the core ideas proposed thus far. The second part of the paper presents a model of ultrafinitistic arithmetics based on the notion of fuzzy initial segments of the standard natural numbers series. We also introduce a proof theory and a semantics for ultrafinitism through which feasibly consistent theories can be treated on the same footing as their classically consistent counterparts. We conclude with a brief sketch of a foundational program, that aims at reproducing the transfinite within the finite realm. 1 Preamble To the memory of our unforgettable friend Stanley "Stan" Tennenbaum (1927 − 2005), Mathematician, Educator, Free Spirit As we have mentioned in the abstract, this article is the first one of a series dedicated to ultrafinitistic themes. First papers often tend to take on the dress of manifestos, road maps, or both, and this one is no exception. It is the revised version of an invited conference talk, and was meant from the start for a quite large audience of philosophers, logicians, computer scientists, and mathematicians, who might have some interest in the ultrafinite. Therefore, neither the philosophico-historical, nor the mathematical side, are meant to be detailed investigations. Instead, a number of items, proposals, questions, etc. are raised, which will be further explored in subsequent works of the series. Our chief hope is that readers will find the overall "flavor" a bit "Tennenbaumian". And friends of Stan, old and new, know what we mean. . .

Research paper thumbnail of Justice, Change, and Knowledge: Aristotle, Parmenides, and Melissus on Genesis and Natural Science

A Companion to Ancient Philosophy (ed. Eric Sanday and Sean Kirkland), 2018

Aristotle extensively criticized Eleatic treatments of phusis (roughly, nature). At De Caelo III ... more Aristotle extensively criticized Eleatic treatments of phusis (roughly, nature). At De Caelo III 298b12-25, however, he allows that some Eleatics spoke rightly on at least some things. What does Aristotle think that those around Parmenides and Melissus got right? How is this related to the study of nature? This essay argues that Aristotle, Parmenides, and Melissus all associated the quest for understanding with accepting that somethings is permanent and stable. Like Parmenides, Aristotle was concerned to discover what we would need to say and conceive in order to seek reasoned understanding. Aristotle diverged from Parmenides and Melissus by exploring a way to delineate an area in which some limited grasp of movement and change would be possible, a conceptual space wherein the account of movement and change would be coherent and internally consistent.

Research paper thumbnail of Sex, Gender, and Class in the Poem of Parmenides: Difference without Dualism?

American Journal of Philology, 2019

Parmenides has been criticized as denying and disparaging human diversity; anathematizin... more Parmenides has been criticized as denying and disparaging human diversity; anathematizing sex, reproduction, and bodies; supporting the suppres­sion of women and others outside the Greek ruling classes; and silencing important concerns by excluding certain kinds of thought and reasoning from philosophical and civil discourse. I argue that the fragments do not support these charges, and that instead Parmenides provides ideas and ways of thinking that subvert the kinds of doctrine and ways of philosophizing he is accused of promoting.

Research paper thumbnail of " Mortals Lay Down Trusting to be True "

The goddess’s speech in Parmenides’ fragments is framed by the opinions of mortals in at least tw... more The goddess’s speech in Parmenides’ fragments is framed by the opinions of mortals in at least two ways. First, the journey of the proem starts in the world described by mortals’ opinions, and the second part of the goddess’s speech explores those opinions. Second, throughout her speech, the goddess invokes features of the world according to mortals’ opinions — negation, coming-to-be, destruction — even when she is arguing for a road of inquiry that excludes those features. Further, we study the fragments by means of the definitions and claims regarding what-is that we use to function and communicate in our mortal lives. This paper proposes to approach the fragments with an awareness of this framing. A result is that the logical conclusion of accepting mortals’ opinions is that mortals’ opinions are flawed; and that result is based on flawed opinions. The goddess’s account thus presents something like a Liar Paradox.

Research paper thumbnail of A very short history of ultrafinitism

Research paper thumbnail of A very short history of ultrafinitism

Theorems, Philosophies, 2011

Research paper thumbnail of Model Theory of Ultrafinitism I: Fuzzy Initial Segments of Arithmetics

This article is the first of an intended series of works on the model theory of Ultrafinitism. It... more This article is the first of an intended series of works on the model theory of Ultrafinitism. It is roughly divided into two parts. The first one addresses some of the issues related to ultrafinitistic programs, as well as some of the core ideas proposed thus far. The second part of the paper presents a model of ultrafinitistic arithmetics based on the notion of fuzzy initial segments of the standard natural numbers series. We also introduce a proof theory and a semantics for ultrafinitism through which feasibly consistent theories can be treated on the same footing as their classically consistent counterparts. We conclude with a brief sketch of a foundational program, that aims at reproducing the transfinite within the finite realm.

Research paper thumbnail of Review of M. Année, Parménide: Fragments Poème

The Classical Review 65.1, Apr 2015

Additional services for The Classical Review: Email alerts: Click here Subscriptions: Click here ... more Additional services for The Classical Review: Email alerts: Click here Subscriptions: Click here Commercial reprints: Click here Terms of use : Click here PARMENIDES. (M.) Année (ed., trans.)Parménide: Fragments Poème. Pp. 215.Paris:J. Vrin,2012. Paper, €12. ISBN:978-2-7116-2414-0. Rose Cherubin

Research paper thumbnail of Locke, Alain (1885–1954)

The Wiley Blackwell Encyclopedia of Race, Ethnicity, and Nationalism (ISBN 9781405189781), 2016

Alain LeRoy Locke: African-American philosopher, educator, critic, curator, and editor. Locke’s a... more Alain LeRoy Locke: African-American philosopher, educator, critic, curator, and editor. Locke’s account of race and interracial relations built upon critical analysis of research in sociology, anthropology, political economy, and pragmatist and classical philosophy. Locke proposed a theory of race as “civilization type,” and thus as socially constituted and determined. The content of this theory should be understood in the context of Locke’s philosophical themes of cultural pluralism and critical relativism. Author of “Enter the New Negro,” and leading figure in the Harlem Renaissance, Locke also wrote extensively on African and African-American art, literature, drama, and music.