- The Psychology of Proof: Deductive Reasoning in Human Thinking.Lance J. Rips - 1994 - MIT Press.details
|
|
Forms and Roles of Diagrams in Knot Theory.Silvia De Toffoli & Valeria Giardino - 2014 - Erkenntnis 79 (4):829-842.details
|
|
Re-engineering philosophy for limited beings: piecewise approximations to reality.William C. Wimsatt - 2007 - Cambridge: Harvard University Press.details
|
|
Intention, plans, and practical reason.Michael Bratman - 1987 - Cambridge: Cambridge, MA: Harvard University Press.details
|
|
Understanding proofs.Jeremy Avigad - manuscriptdetails
|
|
Number theory and elementary arithmetic.Jeremy Avigad - 2003 - Philosophia Mathematica 11 (3):257-284.details
|
|
An Inquiry into the Practice of Proving in Low-Dimensional Topology.Silvia De Toffoli & Valeria Giardino - 2014 - In Giorgio Venturi, Marco Panza & Gabriele Lolli (eds.), From Logic to Practice: Italian Studies in the Philosophy of Mathematics. Cham: Springer International Publishing. pp. 315-336.details
|
|
‘Chasing’ the diagram—the use of visualizations in algebraic reasoning.Silvia de Toffoli - 2017 - Review of Symbolic Logic 10 (1):158-186.details
|
|
Envisioning Transformations – The Practice of Topology.Silvia De Toffoli & Valeria Giardino - 2016 - In Brendan Larvor (ed.), Mathematical Cultures: The London Meetings 2012-2014. Springer International Publishing. pp. 25-50.details
|
|
Intention, Plans, and Practical Reason.M. E. Bratman - 1991 - Noûs 25 (2):230-233.details
|
|
Re-Engineering Philosophy for Limited Beings. Piecewise Approximations to Reality.William C. Wimsatt - 2010 - Critica 42 (124):108-117.details
|
|
Theorie des Ensembles.N. Bourbaki - 1959 - Journal of Symbolic Logic 24 (1):71-73.details
|
|
The Euclidean Diagram.Kenneth Manders - 2008 - In Paolo Mancosu (ed.), The Philosophy of Mathematical Practice. Oxford, England: Oxford University Press. pp. 80--133.details
|
|
Constructive geometrical reasoning and diagrams.John Mumma - 2012 - Synthese 186 (1):103-119.details
|
|
A formal system for euclid’s elements.Jeremy Avigad, Edward Dean & John Mumma - 2009 - Review of Symbolic Logic 2 (4):700--768.details
|
|
(1 other version)Visual thinking in mathematics: an epistemological study.Marcus Giaquinto - 2007 - New York: Oxford University Press.details
|
|
Why do informal proofs conform to formal norms?Jody Azzouni - 2009 - Foundations of Science 14 (1-2):9-26.details
|
|
Mathematical Method and Proof.Jeremy Avigad - 2006 - Synthese 153 (1):105-159.details
|
|
A Problem with the Dependence of Informal Proofs on Formal Proofs.Fenner Tanswell - 2015 - Philosophia Mathematica 23 (3):295-310.details
|
|
How to think about informal proofs.Brendan Larvor - 2012 - Synthese 187 (2):715-730.details
|
|
Proof style and understanding in mathematics I: Visualization, unification and axiom choice.Jamie Tappenden - unknowndetails
|
|
The derivation-indicator view of mathematical practice.Jody Azzouni - 2004 - Philosophia Mathematica 12 (2):81-106.details
|
|
Plans and planning in mathematical proofs.Yacin Hamami & Rebecca Lea Morris - 2020 - Review of Symbolic Logic 14 (4):1030-1065.details
|
|
Why the Naïve Derivation Recipe Model Cannot Explain How Mathematicians’ Proofs Secure Mathematical Knowledge.Brendan Larvor - 2016 - Philosophia Mathematica 24 (3):401-404.details
|
|
Why a diagram is (sometimes) worth a thousand words….J. Takrkin & H. A. Simon - 1987 - Cognitive Science 1:l.details
|
|
Prolegomena to a cognitive investigation of Euclidean diagrammatic reasoning.Yacin Hamami & John Mumma - 2013 - Journal of Logic, Language and Information 22 (4):421-448.details
|
|
(1 other version)Why a Diagram is (Sometimes) Worth Ten Thousand Words.Jill H. Larkin & Herbert A. Simon - 1987 - Cognitive Science 11 (1):65-100.details
|
|
(1 other version)Visual Thinking in Mathematics: An Epistemological Study.Marcus Giaquinto - 2007 - Oxford, England: Oxford University Press.details
|
|
Mathematical Knowledge and the Interplay of Practices.Jose Ferreiros - 2009 - In Mauricio Suárez, Mauro Dorato & Miklós Rédei (eds.), EPSA Philosophical Issues in the Sciences · Launch of the European Philosophy of Science Association. Dordrecht, Netherland: Springer. pp. 55--64.details
|
|
Two Ways of Analogy: Extending the Study of Analogies to Mathematical Domains.Dirk Schlimm - 2008 - Philosophy of Science 75 (2):178-200.details
|
|
On the creative role of axiomatics. The discovery of lattices by Schröder, Dedekind, Birkhoff, and others.Dirk Schlimm - 2011 - Synthese 183 (1):47-68.details
|
|
Motivated proofs: What they are, why they matter and how to write them.Rebecca Lea Morris - 2020 - Review of Symbolic Logic 13 (1):23-46.details
|
|
Why Do We Prove Theorems?Yehuda Rav - 1999 - Philosophia Mathematica 7 (1):5-41.details
|
|
(2 other versions)Proofs and Refutations. The Logic of Mathematical Discovery.I. Lakatos - 1977 - Tijdschrift Voor Filosofie 39 (4):715-715.details
|
|
Rigor and Structure.John P. Burgess - 2015 - Oxford, England: Oxford University Press UK.details
|
|
(1 other version)Tracking Reason: Proof, Consequence, and Truth.Jody Azzouni - 2005 - Oxford, England: Oup Usa.details
|
|
Modularity in mathematics.Jeremy Avigad - 2020 - Review of Symbolic Logic 13 (1):47-79.details
|
|
Mathematics, Form and Function.Saunders MacLane - 1986 - Journal of Philosophy 84 (1):33-37.details
|
|
Axioms in Mathematical Practice.Dirk Schlimm - 2013 - Philosophia Mathematica 21 (1):37-92.details
|
|
A Critique of a Formalist-Mechanist Version of the Justification of Arguments in Mathematicians' Proof Practices.Yehuda Rav - 2007 - Philosophia Mathematica 15 (3):291-320.details
|
|
Mathematical rigor and proof.Yacin Hamami - 2022 - Review of Symbolic Logic 15 (2):409-449.details
|
|
Mathematical Knowledge and the Interplay of Practices.José Ferreirós - 2015 - Princeton, USA: Princeton University Press.details
|
|
Proof, rigour and informality : a virtue account of mathematical knowledge.Fenner Stanley Tanswell - 2016 - St Andrews Research Repository Philosophy Dissertations.details
|
|
A Machine-Checked Proof of the Odd Order Theorem.Georges Gonthier, Andrea Asperti, Jeremy Avigad, Yves Bertot, Cyril Cohen, Francois Garillot, Stephane Le Roux, Assia Mahboubi, Russell O'Connor, Sidi Ould Biha, Ioana Pasca, Laurence Rideau, Alexey Solovyev, Enrico Tassi & Laurent Thery - unknowndetails
|
|
Character and object.Rebecca Morris & Jeremy Avigad - 2016 - Review of Symbolic Logic 9 (3):480-510.details
|
|
(1 other version)Proof: Its nature and significance.Michael Detlefsen - 2008 - In Bonnie Gold & Roger A. Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America. pp. 1.details
|
|
(1 other version)The Logic of Mathematical Discovery vs. the Logical Structure of Mathematics.Solomon Feferman - 1978 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1978:309 - 327.details
|
|
The Relationship of Derivations in Artificial Languages to Ordinary Rigorous Mathematical Proof.J. Azzouni - 2013 - Philosophia Mathematica 21 (2):247-254.details
|
|
(1 other version)Proof: Its Nature and Significance.Michael Detlefsen - 2008 - In Bonnie Gold & Roger A. Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. MAA. pp. 3-32.details
|
|
Why Do We Prove Theorems?Yehuda Rav - 1998 - Philosophia Mathematica 6 (3):5-41.details
|
|