Exploring the relationship between tacit models and mathematical infinity through history (original) (raw)

Chasing a tortoise: The notion of infinity in mathematics throughout history

Sena Arslan

Philhist 15: Proceedings of Interactions in the History of Philosophy Conference, 2015

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Some Historical Issues and Paradoxes Regarding the Concept of Infinity: An Apos-Based Analysis: Part 1

Ed Ed

Educational Studies in Mathematics, 2005

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Infinity as a Multi-Faceted Concept in History and in the Mathematics Classroom

Ferdinando Arzarello

International Group For the Psychology of Mathematics Education, 2004

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The Mathematical Infinite as a Matter of Method(Infinity in Philosophy and Mathematics)

Akihiro Kanamori

Annals of the Japan Association for Philosophy of Science, 2012

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Some historical issues and paradoxes regarding the concept of infinity: An APOS analysis: Part 2

Kirk Weller

Educational Studies in …, 2005

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Conceptual Metaphors and Tacit Models in the study of Mathematical Infinity

Tamara Díaz Chang, Elizabeth Hernández Arredondo

2021

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In search of aleph-null: how infinity can be created

Markus Pantsar

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The Mathematical Infinite as a Matter of Method

Akihiro Kanamori

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The Philosophical Implications of Set Theory in Infinity

sonson Lam

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The History and Evolution of the Concept of Infinity

John Batchelor

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Paradoxes of the Infinite and Ontological Dilemmas Between Ancient Philosophy and Modern Mathematical Solutions

Domenico Cortese

Numerical Computations: Theory and Algorithms, Chapter No: 31, NUMTA 2019, Part I, LNCS 11973, January 2020, 2020

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PART ONE Perspectives on Infinity from History

Wolfgang Achtner

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Rejection, Disagreement, Controversy and Acceptance in Mathematical Practice: Episodes in the Social Construction of Infinity

Paul Ernest

Deleted Journal, 2023

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Conceptions of Infinity: Process vs concept

Layla Nasr

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Reasoning about infinity

Michael Sandeman

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Infinity – The never-ending struggle

David Tall

Educational Studies in Mathematics, 2001

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The Resilience of Formal Infinitism Through Puzzles & Paradoxes

Louis J Swingrover

2022

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Infinity in History

Wolfgang Achtner

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Infinity as a transformative concept in science and theology

Wolfgang Achtner

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The chicken went into the bush and never came back: A note on infinity

James Rauff

BSHM Bulletin: Journal of the British Society for the History of Mathematics , 2013

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M. Castellana, D. Ria (2011), The “enjeux ” of the mathematical infinite. Logic and Philosophy of Science, IX(1), 131-150.

Demetrio RIA, CASTELLANA MARIO

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A Brief History of Infinity

AW Moore

Scientific American, 1995

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IS INFINITY PURELY ARITHMETICAL IN NATURE

Daniel Strauss

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A cultural overview on the concept of infinity

Paolo Di Sia

International academic semi-annual “Journal of Education, Culture and Society” - ISSN: 2081-1640, 2019

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Fichte's Concept of Mathematical Infinity in the Bestimmung des Menschen (27 April 2010, Lisbon, Portugal)

David W. Wood

27 April 2010, Universidade Nova, Lisbon, Portugal

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Infinite as an ontological problem

Domenico Cortese

Proceedings NUMTA conference 2019

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Singer, F. M., Voica, C. (2009). When the infinite sets uncover structures: an analysis of students’ reasoning on infinity. In Tzekaki, M., Kaldrimidou, M. & Sakonidis, C. (eds.). In Search for Theories in Mathematics Education. Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education, vol. 5, pp. 121-128. Thessaloniki, Greece: PME.

Florence Mihaela Singer

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Infinity and the savage mind

christopher hallpike

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Conceptual Metaphor and the Cognitive Foundations of Mathematics: Actual Infinity and Human Imagination

Rafael Nunez

2003

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Infinity, the existence of something beyond

Dr. Jack Dikian

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Conceptions of Infinity. An APOS analysis

Layla Nasr

IJISRT18DC80, 2015

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The TRUE Mathematics of Infinity

Leslie Green CEng MIEE

ebook, 2024

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Avicenna on Mathematical Infinity

Mohammad Saleh Zarepour

Archiv für Geschichte der Philosophie, 2020

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