- Arithmetizing the geometry from inside: David Hilbert's segment calculus.Eduardo Nicolás Giovannini - 2015 - Scientiae Studia 13 (1):11-48.details
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A Methodology for Teaching Logic-Based Skills to Mathematics Students.Arnold Cusmariu - 2016 - Symposion: Theoretical and Applied Inquiries in Philosophy and Social Sciences 3 (3):259-292.details
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Axiomatizing Changing Conceptions of the Geometric Continuum I: Euclid-Hilbert†.John T. Baldwin - 2018 - Philosophia Mathematica 26 (3):346-374.details
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Guía para una primera lectura de Los fundamentos de la aritmética de Gottlob Frege.Francisco Manuel Sauri-Mercader - manuscriptdetails
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The Relationship between Hypotheses and Images in the Mathematical Subsection of the Divided Line of Plato's Republic.Moon-Heum Yang - 2005 - Dialogue 44 (2):285-312.details
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Kant, Infinite Space, and Decomposing Synthesis.Aaron Wells - manuscriptdetails
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Arguing on the Toulmin Model: New Essays in Argument Analysis and Evaluation.David Hitchcock & Bart Verheij (eds.) - 2006 - Dordrecht, Netherland: Springer.details
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Superposition: on Cavalieri’s practice of mathematics.Paolo Palmieri - 2009 - Archive for History of Exact Sciences 63 (5):471-495.details
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Euclid’s Kinds and (Their) Attributes.Benjamin Wilck - 2020 - History of Philosophy & Logical Analysis 23 (2):362-397.details
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Can the Pyrrhonian Sceptic Suspend Belief Regarding Scientific Definitions?Benjamin Wilck - 2020 - History of Philosophy & Logical Analysis 23 (1):253-288.details
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For Some Histories of Greek Mathematics.Roy Wagner - 2009 - Science in Context 22 (4):535-565.details
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Inconsistency in mathematics and the mathematics of inconsistency.Jean Paul van Bendegem - 2014 - Synthese 191 (13):3063-3078.details
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A Framework for Defining the Generality of Diophantos' Methods in "Arithmetica".Yannis Thomaidis - 2005 - Archive for History of Exact Sciences 59 (6):591-640.details
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Kant's Conception of Number.Daniel Sutherland - 2017 - Philosophical Review Current Issue 126 (2):147-190.details
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Kant’s Philosophy of Mathematics and the Greek Mathematical Tradition.Daniel Sutherland - 2004 - Philosophical Review 113 (2):157-201.details
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On the Origin of Symbolic Mathematics and Its Significance for Wittgenstein’s Thought.Sören Stenlund - 2015 - Nordic Wittgenstein Review 4 (1):7-92.details
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Eudoxos and dedekind: On the ancient greek theory of ratios and its relation to modern mathematics.Howard Stein - 1990 - Synthese 84 (2):163 - 211.details
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Leibniz crítico de Euclides. El método del Analysis Situs.Mary Sol de Mora & Javier Echeverría - 2016 - Kairos 16 (1):99-123.details
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Aristarchus's On the Sizes and Distances of the Sun and the Moon: Greek and Arabic Texts.Nathan Sidoli & J. L. Berggren - 2007 - Archive for History of Exact Sciences 61 (3):213-254.details
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Mathematical Concepts and Investigative Practice.Dirk Schlimm - 2012 - In Uljana Feest & Friedrich Steinle (eds.), Scientific Concepts and Investigative Practice. de Gruyter. pp. 127-148.details
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Erkenntnistheorie der zahldefinition und philosophische grundlegung der arithmetik unter bezugnahme auf einen vergleich Von Gottlob freges logizismus und platonischer philosophie (syrian, theon Von smyrna U.A.).Markus Schmitz - 2001 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 32 (2):271-305.details
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Zeno Beach.Jacob Rosen - 2020 - Phronesis 65 (4):467-500.details
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The twofold role of diagrams in Euclid’s plane geometry.Marco Panza - 2012 - Synthese 186 (1):55-102.details
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François Viète’s revolution in algebra.Jeffrey A. Oaks - 2018 - Archive for History of Exact Sciences 72 (3):245-302.details
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Proofs, pictures, and Euclid.John Mumma - 2010 - Synthese 175 (2):255 - 287.details
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Constructive geometrical reasoning and diagrams.John Mumma - 2012 - Synthese 186 (1):103-119.details
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The Beginnings of Formal Logic: Deduction in Aristotle’s Topics vs. Prior Analytics.Marko Malink - 2015 - Phronesis 60 (3):267-309.details
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El enfoque epistemológico de David Hilbert: el a priori del conocimiento y el papel de la lógica en la fundamentación de la ciencia.Rodrigo Lopez-Orellana - 2019 - Principia: An International Journal of Epistemology 23 (2):279-308.details
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On the Foundations of Greek Arithmetic.Holger A. Leuz - 2009 - History of Philosophy & Logical Analysis 12 (1):13-47.details
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Cognitive Artifacts for Geometric Reasoning.Mateusz Hohol & Marcin Miłkowski - 2019 - Foundations of Science 24 (4):657-680.details
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David Hilbert and the foundations of the theory of plane area.Eduardo N. Giovannini - 2021 - Archive for History of Exact Sciences 75 (6):649-698.details
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Bridging the gap between analytic and synthetic geometry: Hilbert’s axiomatic approach.Eduardo N. Giovannini - 2016 - Synthese 193 (1):31-70.details
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Completion, reduction and analysis: three proof-theoretic processes in aristotle’s prior analytics.George Boger - 1998 - History and Philosophy of Logic 19 (4):187-226.details
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Why Euclid’s geometry brooked no doubt: J. H. Lambert on certainty and the existence of models.Katherine Dunlop - 2009 - Synthese 167 (1):33-65.details
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The mathematical form of measurement and the argument for Proposition I in Newton’s Principia.Katherine Dunlop - 2012 - Synthese 186 (1):191-229.details
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Euclid’s Common Notions and the Theory of Equivalence.Vincenzo De Risi - 2020 - Foundations of Science 26 (2):301-324.details
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Geometry and arithmetic in the medieval traditions of Euclid’s Elements: a view from Book II.Leo Corry - 2013 - Archive for History of Exact Sciences 67 (6):637-705.details
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Definition in mathematics.Carlo Cellucci - 2018 - European Journal for Philosophy of Science 8 (3):605-629.details
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Grothendieck’s theory of schemes and the algebra–geometry duality.Gabriel Catren & Fernando Cukierman - 2022 - Synthese 200 (3):1-41.details
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In defence of geometrical algebra.Viktor Blåsjö - 2016 - Archive for History of Exact Sciences 70 (3):325-359.details
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Operationalism: An Interpretation of the Philosophy of Ancient Greek Geometry.Viktor Blåsjö - 2022 - Foundations of Science 27 (2):587-708.details
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Controversies in the Foundations of Analysis: Comments on Schubring’s Conflicts.Piotr Błaszczyk, Vladimir Kanovei, Mikhail G. Katz & David Sherry - 2017 - Foundations of Science 22 (1):125-140.details
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Axiomatizing Changing Conceptions of the Geometric Continuum II: Archimedes-Descartes-Hilbert-Tarski†.John T. Baldwin - 2019 - Philosophia Mathematica 27 (1):33-60.details
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Interpreting the Infinitesimal Mathematics of Leibniz and Euler.Jacques Bair, Piotr Błaszczyk, Robert Ely, Valérie Henry, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, Semen S. Kutateladze, Thomas McGaffey, Patrick Reeder, David M. Schaps, David Sherry & Steven Shnider - 2017 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 48 (2):195-238.details
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A formal system for euclid’s elements.Jeremy Avigad, Edward Dean & John Mumma - 2009 - Review of Symbolic Logic 2 (4):700--768.details
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Über voreuklidische ‚Elemente der Raumgeometrie’ aus der Schule des Eudoxos.Benno Artmann - 1988 - Archive for History of Exact Sciences 39 (2):121-135.details
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Two Approaches to Foundations in Greek Mathematics: Apollonius and Geminus.Fabio Acerbi - 2010 - Science in Context 23 (2):151-186.details
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Mathematical Generality, Letter-Labels, and All That.F. Acerbi - 2020 - Phronesis 65 (1):27-75.details
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A Reference to Perfect Numbers in Plato’s Theaetetus.F. Acerbi - 2005 - Archive for History of Exact Sciences 59 (4):319-348.details
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The Uses of Argument in Mathematics.Andrew Aberdein - 2005 - Argumentation 19 (3):287-301.details
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