A

Ardourel, Vincent and Jebeile, Julie (2021) Numerical instability and dynamical systems. [Preprint]

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Avigad, Jeremy (2023) The design of mathematical language. [Preprint]

Avner, Ash and Justin, Clarke-Doane (2023) Intuition and Observation. [Preprint]

B

Bacelar Valente, Mario (2017) Conventionality in Einstein's practical geometry. THEORIA. An International Journal for Theory, History and Foundations of Science, 32 (2). pp. 177-190. ISSN 2171-679X

Bacelar Valente, Mario (2020) On the correctness of problem solving in ancient mathematical procedure texts. [Preprint]

Barany, Michael J (2020) Abstract Relations: Bibliography and the Infra-structures of Modern Mathematics. [Preprint]

Binder, Bernd (2024) (Split-)Quaternion and (Split-)Octonion Dynamics in Discrete-Time Recurrent Frenet Frames. [Preprint]

Bordg, Anthony (2019) Univalent Foundations and the UniMath Library. The Architecture of Mathematics. in Reflections on the Foundations of Mathematics, Synthese Library, 407.

Bueno, Otávio (2018) Putnam’s indispensability argument revisited, reassessed, revived. THEORIA. An International Journal for Theory, History and Foundations of Science, 33 (2). pp. 201-218. ISSN 2171-679X

C

Carter, Jessica (2017) Exploring the fruitfulness of diagrams in mathematics. [Preprint]

D

D'Alessandro, William (2017) Mathematical Explanation Beyond Explanatory Proof. The British Journal for the Philosophy of Science.

D'Alessandro, William (2020) Proving Quadratic Reciprocity: Explanation, Disagreement, Transparency and Depth. Synthese. ISSN 1573-0964

D'Alessandro, William (2022) Unrealistic Models in Mathematics. [Preprint]

D'Alessandro, William and Lehet, Ellen (2022) Mathematical Explanation and Understanding: A Noetic Account. In: UNSPECIFIED.

Dal Magro, Tamires and García-Pérez, Manuel J. (2019) On Euclidean diagrams and geometrical knowledge. THEORIA. An International Journal for Theory, History and Foundations of Science, 34 (2). pp. 255-276. ISSN 2171-679X

Dal Magro, Tamires and Valente, Matheus (2020) On the representational role of Euclidean diagrams: representing qua samples. [Preprint]

Demeter, Tamás (2017) Hume on the Social Construction of Mathematical Knowledge. [Preprint]

de Paz, María and Ferreirós, José (2018) Guest editors’ introduction. THEORIA. An International Journal for Theory, History and Foundations of Science, 33 (2). pp. 267-269. ISSN 2171-679X

E

Elkind, Landon (2022) Computer Verification for Historians of Philosophy. [Preprint]

F

Ferreirós, José (2017) Dedekind’s Map-theoretic Period. Philosophia Mathematica, 25 (3). pp. 318-340. ISSN 0031-8019

Ferreirós, José (2004) The Motives behind Cantor’s Set Theory – Physical, Biological, and Philosophical Questions. Science in Context, 17 (1). pp. 49-83.

Ferreirós, José (1995) "What Fermented in Me for Years": Cantor's discovery of transfinite numbers. Historia Mathematica, 22. pp. 33-42. ISSN 03150860

Ferreirós, José and García-Pérez, Manuel J. (2008) ¿“Natural” y “Euclidiana”? Reflexiones sobre la geometría práctica y sus raíces cognitivas. THEORIA. An International Journal for Theory, History and Foundations of Science, 33 (2). pp. 325-344. ISSN 2171-679X

Franklin, James (2016) Logical probability and the strength of mathematical conjectures. Mathematical Intelligencer, 38 (3). pp. 14-19. ISSN 1866-7414

Fraser, Doreen (2021) Review of Mark Wilson, Physics Avoidance. [Preprint]

Friedman, Michael and Rittberg, Colin Jakob (2019) The Material Reasoning of Folding Paper. [Preprint]

G

García-Pérez, Manuel J. (2017) José Ferreirós. 2016. Mathematical knowledge and the interplay of practices. THEORIA. An International Journal for Theory, History and Foundations of Science, 32 (1). pp. 129-131. ISSN 2171-679X

Gardiner, Georgi and Zaharatos, Brian (2022) The Safe, the Sensitive, and the Severely Tested: A Unified Account. [Preprint]

J

Jones, Max (2018) Numerals and Neural Reuse. [Preprint]

K

Koshkin, Sergiy (2020) Wittgenstein, Peirce, and paradoxes of mathematical proof. Analytic Philosophy. ISSN 2153-960X

Kuby, Daniel (2021) Reinterpreting the universe-multiverse debate in light of inter-model inconsistency in set theory. [Preprint]

L

Lampert, Timm (2021) Newton’s experimental proofs. THEORIA. An International Journal for Theory, History and Foundations of Science, 36 (2). pp. 261-283. ISSN 2171-679X

Lange, Marc (2021) Challenges Facing Counterfactual Accounts of Explanation in Mathematics. [Preprint]

Larvor, Brendan (2017) From Euclidean Geometry to Knots and Nets. [Preprint]

Larvor, Brendan (2012) How to think about informal proofs. Synthese, 187 (2). pp. 715-730. ISSN 0039-7857

Larvor, Brendan (2022) On the unreasonable reliability of mathematical inference. [Preprint]

Larvor, Brendan (2016) What Are Mathematical Cultures? [Preprint]

Larvor, Brendan (2016) Why the Naive Derivation Recipe Model Cannot Explain How Mathematician's Proofs Secure Mathematical Knowledge. Philosophia Mathematica, 24 (3). pp. 401-404. ISSN 0031-8019

Larvor, Brendan (2018) Why ‘scaffolding’ is the wrong metaphor: the cognitive usefulness of mathematical representations. [Preprint]

Legg, Catherine (2015) Grasping Mathematical Reality. Cuadernos de Sistematica Peirceana, 7. pp. 7-26. ISSN 978-958-46-4548-7

Legg, Catherine and Franklin, James (2017) Perceiving Necessity. Pacific Philosophical Quarterly, 98. pp. 320-343. ISSN 1468-0114

Lehet, Ellen (2019) Induction and Explanatory Definitions in Mathematics. [Preprint]

Lenhard, Johannes (2022) A Transformation of Bayesian Statistics: Computation, Prediction, and Rationality. [Preprint]

M

Martin, James V. (2021) Indeterminacy, Coincidence, and "Sourcing Newness" in Mathematical Research. [Preprint]

Martin, James V. (2022) On Certainty, Change, and "Mathematical Hinges". [Preprint]

Martin, James V. (2020) Prolegomena to Virtue-Theoretic Studies in the Philosophy of Mathematics. [Preprint]

Massolo, Alba (2023) The normative role of logic for reasoning. THEORIA. An International Journal for Theory, History and Foundations of Science, 38 (2). pp. 137-154. ISSN 2171-679X

McLarty, Colin (2024) Structuralism in differential equations. [Preprint]

Mizrahi, Moti (2020) Proof, Explanation, and Justification in Mathematical Practice. [Preprint]

Morris, Rebecca (2019) Do mathematical explanations have instrumental value? Synthese. ISSN 1573-0964

Morris, Rebecca (2020) Intellectual generosity and the reward structure of mathematics. Synthese.

Muñoz Pérez, M. (2024) Phenomenology and independence. [Preprint]

Muñoz Pérez, M. (2022) Wittgenstein on decisions and the mathematical practice. [Preprint]

N

Nappo, Francesco and Cangiotti, Nicolò (2022) Reasoning by Analogy in Mathematical Practice. [Preprint]

Núñez, Rafael (2018) Praxis matemática: reflexiones sobre la cognición que la hace posible. THEORIA. An International Journal for Theory, History and Foundations of Science, 33 (2). pp. 271-283. ISSN 2171-679X

P

Papayannopoulos, Philippos (2020) Unrealistic Models for Realistic Computations: How Idealisations Help Represent Mathematical Structures and Found Scientific Computing. [Preprint]

Patton, Lydia (2018) Laws of Thought and Laws of Logic After Kant. Logic from Kant to Russell.

Perry, Stephen (2021) What is "Applied Mathematics" Anyway? How the History of Fluid Mechanics Demonstrates the Role of Concepts in Applied Mathematics. [Preprint]

Plutniak, Sébastien (2015) Refrain from Standards? French, Cavemen and Computers. A (short) Story of Multidimensional Analysis in French Prehistoric Archaeology. Standardization in Measurement. Philosophical and Sociological Issues. pp. 39-52.

R

Rittberg, Colin Jakob (2021) Intellectual humility in mathematics. [Preprint]

Rizza, Davide (2021) Mathematical problem-solving in scientific practice. [Preprint]

Rosenstock, Sarita (2020) Learning from the Shape of Data. In: UNSPECIFIED.

Ruiz de Olano, Pablo (2017) Sergio F. Martínez y Xiang Huang. 2015. Hacia una Filosofía de la Ciencia Centrada en Prácticas. THEORIA. An International Journal for Theory, History and Foundations of Science, 32 (3). pp. 390-392. ISSN 2171-679X

S

Sagüillo, José Miguel (2018) Hilary Putnam on the philosophy of logic and mathematics. THEORIA. An International Journal for Theory, History and Foundations of Science, 33 (2). pp. 183-200. ISSN 2171-679X

Smith, Jr, James Andrew (2019) Quine on Naturalism, Nominalism, and Philosophy's Place within Science. [Preprint]

V

Valente, Mario B. (2023) A hub-and-spoke model of geometric concepts. THEORIA. An International Journal for Theory, History and Foundations of Science, 38 (1). pp. 25-44. ISSN 2171-679X

W

Wagner, Roy (2018) Cognitive stories and the image of mathematics. THEORIA. An International Journal for Theory, History and Foundations of Science, 33 (2). pp. 305-323. ISSN 2171-679X

Weber, Keith (2019) The role of syntactic representations in set theory. [Preprint]

Whyte, Jennifer L. (2024) Mathematical SETIbacks: Open Texture in Mathematics as a new challenge for Messaging Extra-Terrestrial Intelligence. [Preprint]

Z

Zakharova, Daria (2024) The Epistemology of AI-driven Science: The Case of AlphaFold. [Preprint]

Zayton, Benjamin (2022) Open Texture, Rigor, and Proof. [Preprint]