Andrew Arana

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  • Archives Henri-Poincaré - Philosophie et Recherches sur les Sciences et les Technologies (AHP-PReST)
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Publications

Publications

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Mathematical Intuition: Historical and Philosophical Perspectives. Introduction

Andrew Arana , Yacin Hamami , Gerhard Heinzmann , Bruno Leclercq

Logique et Analyse, 2025, Mathematical Intuition: Historical and Philosophical Perspectives, 266-267, pp.105-118. ⟨10.2143/LEA.266.0.3294833⟩

Article dans une revue hal-05541304v1
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Disagreement About New Axioms in Mathematics

Andrew Arana

Annals of the Japan Association for Philosophy of Science, 2024, 33, pp.47-56. ⟨10.4288/jafpos.33.0_47⟩

Article dans une revue hal-05137653v1
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Review of Reactionary Mathematics: A Genealogy of Purity by Massimo Mazzotti

Andrew Arana

Physis; rivista internazionale di storia della scienza, 2024, LIX (2), pp.614-618. ⟨10.1400/298761⟩

Article dans une revue (compte-rendu de lecture) hal-05137675v1
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Mathematical Hygiene

Andrew Arana , Heather Burnett

Synthese, 2023, 202 (110), ⟨10.1007/s11229-023-04254-8⟩

Article dans une revue hal-04152746v3
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On the Difficulty of Discovering Mathematical Proofs

Andrew Arana , Will Stafford

Synthese, 2023, 202 (2), pp.38. ⟨10.1007/s11229-023-04184-5⟩

Article dans une revue hal-04152778v1
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Takeuti's proof theory in the context of the Kyoto School

Ryota Akiyoshi , Andrew Arana

Jahrbuch für Philosophie das Tetsugaku-Ronso, 2019

Article dans une revue halshs-02444186v1

Purity of Methods

Michael Detlefsen , Andrew Arana

Philosophers' Imprint, 2011, 11 (2), pp.1-20

Article dans une revue hal-00587851v1
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Proof Theory in Philosophy of Mathematics

Andrew Arana

Philosophy Compass, 2010, 5 (4), pp.336-347. ⟨10.1111/j.1747-9991.2010.00282.x⟩

Article dans une revue hal-05235737v1

Descartes and the cylindrical helix

Paolo Mancosu , Andrew Arana

Historia Mathematica, 2010, 37 (3), pp.336-347. ⟨10.1016/j.hm.2009.10.006⟩

Article dans une revue istex hal-00586791v1

Elements of Purity

Andrew Arana

Cambridge University Press, 2024, Elements in the Philosophy of Mathematics, 9781009052719. ⟨10.1017/9781009052719⟩

Ouvrages hal-04862010v1

Idéaux de preuves

Michael Detlefsen , Emmylou Haffner , David Rabouin , Andrew Arana

Vrin, 2024, 978-2-7116-3190-2

Ouvrages hal-04859513v1

Précis de Philosophie des Mathématiques et de la Logique. Vol. 2. Philosophie des Mathématiques

Marco Panza , Andrew Arana

Editions de la Sorbonne, 2022, Logique, langage, sciences, philosophie, 979-10-351-0802-1

Ouvrages halshs-03947556v1
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Purity and Explanation: Essentially Linked?

Andrew Arana

Carl Posy; Yemima Ben-Menahem. Mathematical Objects, Knowledge and Applications: Essays in Memory of Mark Steiner, Springer International Publishing, pp.25-39, 2023, Jerusalem Studies in Philosophy and History of Science, 978-3-031-21654-1. ⟨10.1007/978-3-031-21655-8_3⟩

Chapitre d'ouvrage hal-04152762v1
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Imagination in Mathematics

Andrew Arana

Amy Kind. The Routledge Handbook of Philosophy of Imagination, Routledge, 2016, The Routledge Handbook of Philosophy of Imagination, 9781138574076. ⟨10.4324/9781315657905_41⟩

Chapitre d'ouvrage hal-05235781v1

Mathematical hygiene

Andrew Arana , Heather Burnett

Munich Center for Mathematical Philosophy Seminar, Jul 2021, Munich, Germany

Communication dans un congrès halshs-03388733v1

Purity of methods and the varieties of content

Andrew Arana

colloquium, University of California, Jan 2011, Irvine, United States

Communication dans un congrès hal-00588236v1

Contrasting metric and projective proofs of Desargues' theorem

Andrew Arana

Workshop on Contrasting Proofs, Jun 2010, Paris, France

Communication dans un congrès hal-00588204v1

The complexity of pure and impure proof

Andrew Arana

Philosophy of Mathematics Colloquium, IHPST, Apr 2010, Paris, France

Communication dans un congrès hal-00588199v1

The geometric / algebraic distinction

Andrew Arana

Workshop On Mathematical Practices, Mar 2010, Madrid, Spain

Communication dans un congrès hal-00588187v1

Purity and the carving of mathematics

Andrew Arana

workshop on ''carving mathematics up'', Université Paris 7 - Diderot, Apr 2010, Paris, France

Communication dans un congrès hal-00588198v1

Simplicity and elementary methods

Andrew Arana

Workshop on Simplicity as an Epistemological Value in Scientific Practice, Institut d'Etudes Avancees Paris and REHSEIS, Jan 2010, Paris, France

Communication dans un congrès hal-00588183v1

The algebraic / geometric distinction

Andrew Arana

Philosophy of Mathematics Workshop, REHSEIS, Jun 2010, Paris, France

Communication dans un congrès hal-00588206v1

On the relationship between plane and solid geometry

Andrew Arana

First Meeting of the Association for the Philosophy of Mathematical Practice, Dec 2010, Brussels, Belgium

Communication dans un congrès hal-00588230v1

Geometric model theory and the foundations of mathematics

Andrew Arana

Philosophy of Mathematics Workshop, REHSEIS, Nov 2010, Paris, France

Communication dans un congrès hal-00588227v1

The preference for 'pure' proofs

Andrew Arana

Midwest Model Theory Day, University of Illinois, Oct 2010, Chicago, United States

Communication dans un congrès hal-00588223v1

Descartes and the cylindrical helix

Andrew Arana

Colloquium for Henk Bos, May 2010, Paris, France

Communication dans un congrès hal-00588202v1

The preference for 'pure' proofs

Andrew Arana

Colloquium, L'Institut de Mathématiques de Toulouse, Dec 2010, Toulouse, France

Communication dans un congrès hal-00588231v1

The geometric / algebraic distinction

Andrew Arana

philosophy colloquium, Université Blaise Pascal, Apr 2010, Clermont-Ferrand, France

Communication dans un congrès hal-00588201v1

On the relationship between plane and solid geometry

Andrew Arana

Midwest Philosophy of Mathematics Workshop, University of Notre Dame, Oct 2010, United States

Communication dans un congrès hal-00588220v1

Purity in arithmetic: formal and informal issues

Andrew Arana

Conference on the Number Concept: Axiomatization, Cognition and Genesis, Université Nancy 2, Nov 2010, Nancy, France

Communication dans un congrès hal-00588225v1

The complexity of pure and impure proof

Andrew Arana

7th IP Fellows seminar, Jan 2010, France

Communication dans un congrès hal-00588185v1

The identity of problems

Andrew Arana

Colloquium on problems, Dec 2009, Paris, France

Communication dans un congrès hal-00588181v1

The geometric / algebraic distinction

Andrew Arana

5th IP Fellows Seminar, Sep 2009, Paris, France

Communication dans un congrès hal-00588176v1

Constructions and equations in early modern geometry

Andrew Arana

workshop on early modern mathematics, Oct 2009, Paris, France

Communication dans un congrès hal-00588180v1

Purity of Proof & Understanding

Michael Detlefsen , Andrew Arana

international workshop on Mathematical Understanding, Département Histoire et Philosophie des Sciences, Université Denis Diderot - Paris 7, Jun 2008, Paris, France

Communication dans un congrès hal-00588572v1