A

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B

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Barton, Neil (2017) Independence and Ignorance: How agnotology informs set-theoretic pluralism. [Preprint]

Barton, Neil (2018) Large Cardinals and the Iterative Conception of Set. [Preprint]

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Bentzen, Bruno (2021) Naive cubical type theory. Mathematical Structures in Computer Science, 31. pp. 1205-1231.

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C

Cheng, Yong (2022) Exploring the Foundational Significance of Goedel's Incompleteness Theorems. Review of Analytic Philosophy, 2 (1).

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Cheng, Yong (2025) Isaacson's thesis on arithmetical truth. Synthese, 206 (140). ISSN 1573-0964

Cheng, Yong (2022) On the Depth of Goedel's Incompleteness Theorems. Philosophia Mathematica, 30 (Issue). pp. 173-199.

Clarke-Doane, Justin (2025) Logical Dependence of Physical Determinism on Set-theoretic Metatheory. [Preprint]

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D

Dentamaro, Dario and Loregian, Fosco (2020) Categorical Ontology I - Existence. [Preprint]

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da Costa, Newton C. A. and Krause, Décio (2020) Suppes predicate for classes of structures and the notion of transportability. [Preprint]

E

Eastaugh, Benedict (2018) Computational reverse mathematics and foundational analysis. [Preprint]

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Ellerman, David (2024) A New Approach to Understanding Quantum Mechanics: Illustrated Using a Pedagogical Model over ℤ2. AppliedMath (MDPI), 4 (2). pp. 468-494.

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Ellerman, David (2025) Where do Adjunctions Come From? Chimera Morphisms and Adjoint Functors in Category Theory. [Preprint]

Elohim, David (2017) Forms of Luminosity: Epistemic Modality and Hyperintensionality in Mathematics. [Preprint]

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F

Fay, Jonathan (2023) On the Relativity of Magnitudes: Delboeuf's forgotten contribution to the 19th Century problem of space. [Preprint]

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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 (2004) On Quine, van Heijenoort, and modern logic: review of "From Frege to Gödel". Historia Mathematica, 31. pp. 119-124. ISSN 03150860

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G

Gisin, Nicolas (2024) Elegance, Facts, and Scientific Truths. [Preprint]

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Gisin, Nicolas (2020) Mathematical languages shape our understanding of time in physics. Nature Physics, 16. pp. 114-119.

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Gisin, Nicolas (2020) Real Numbers are the Hidden Variables of Classical Mechanics. Quantum Studies: Mathematics and Foundations, 7. pp. 197-201.

H

Halák, Jan (2021) Mathematics Embodied: Merleau-Ponty on Geometry and Algebra as Fields of Motor Enaction. [Preprint]

Heartspring, William (2019) Modal logic NL for common language. [Preprint]

Hewitt, Carl (2019) For Cybersecurity, Computer Science Must Rely on Strong Types. [Preprint]

Hewitt, Carl (2019) For Cybersecurity, Computer Science Must Rely on Strongly-Typed Actors. [Preprint]

Hewitt, Carl (2019) For Cybersecurity, Computer Science Must Rely on Strongly-Typed Actors. [Preprint]

Hewitt, Carl (2019) For Cybersecurity, Computer Science Must Rely on the Opposite of Gödel’s Results. [Preprint]

Hewitt, Carl (2017) Strong Types for Direct Logic. [Preprint]

Himelright, Jack (2022) Applied Mathematics without Numbers. [Preprint]

Hosack, John M. (2019) Deductive Pluralism. [Preprint]

J

Jorge, Juan Pablo and Holik, Federico and Krause, Décio (2023) Un acercamiento a las semánticas Nmatriciales basadas en QST. Principia: an international journal of epistemology, 27 (3). ISSN 1414-4247

Jreige, Rami (2025) Relational Abstraction in the History of Mathematics. [Preprint]

K

Kearney, Peter (2020) Mathematical determinacy and internal categoricity. [Preprint]

Ketland, Jeffrey (2022) Boolos’s Curious Inference in Isabelle/HOL. Archive of Formal Proofs.

Kish Bar-On, Kati (2022) Connecting the revolutionary with the conventional: Rethinking the differences between the works of Brouwer, Heyting, and Weyl. [Preprint]

Kish Bar-On, Kati (2022) From Philosophical Traditions to Scientific Developments: Reconsidering the Response to Brouwer’s Intuitionism. [Preprint]

Kish Bar-On, Kati (2024) Mathematics and Society Reunited: The Social Aspects of Brouwer’s Intuitionism. [Preprint]

Kish Bar-On, Kati (2021) Towards a new philosophical perspective on Hermann Weyl’s turn to intuitionism. Science in Context, 34 (1). pp. 51-68. ISSN 1474-0664

Kovac, Srecko (2018) On causality as the fundamental concept of Gödel's philosophy. [Preprint]

Kozdęba, Agnieszka and Tyszka, Apoloniusz (2022) Statements and open problems on decidable sets X⊆N that contain informal notions and refer to the current knowledge on X. [Preprint]

Krause, Décio (2022) On the discrepancies between quantum logic and classical logic. [Preprint]

Krause, Décio (2022) Prolongments of "Ensaio": Schrödinger Logics and Quasi-Set Theory. [Preprint]

Krause, Décio (2022) Quantifying over indiscernibles. [Preprint]

Krause, Décio (2025) Some remarks about going towards inconsistencies. [Preprint]

Krause, Décio (2025) Some remarks about going towards inconsistencies. [Preprint]

Krause, Décio (2024) A new theory of quasi-sets without atoms: a reply to Adonai Sant'Anna. [Preprint]

Krause, Décio (2023) The underlying logic is mandatory also in discussing the philosophy of quantum physics. [Preprint]

Krause, Décio and Arenhart, Jonas R. B. (2020) Identical particles in quantum mechanics: favouring the Received View. [Preprint]

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

Kuczynski, John-Michael (2025) Applied Set Theory and Logic. [Preprint]

Kuczynski, John-Michael (2025) Numbers as Ordered Pairs. [Preprint]

Kurpaska, Sławomir and Tyszka, Apoloniusz (2019) Semi-formally stated open problems on computable sets X={n \in N: \phi(n)}, where \phi(n) has the same intuitive meaning for every n \in N and the finiteness (infiniteness) of X remains conjectured. [Preprint]

Kurpaska, Sławomir and Tyszka, Apoloniusz (2020) The physical impossibility of machine computations on sufficiently large integers inspires an open problem that concerns abstract computable sets X⊆N and cannot be formalized in the set theory ZFC as it refers to our current knowledge on X. [Preprint]

Kurpaska, Sławomir and Tyszka, Apoloniusz (2020) The physical limits of computation inspire an open problem that concerns abstract computable sets X⊆N and cannot be formalized in the set theory ZFC as it refers to our current knowledge on X. [Preprint]

L

Lampert, Timm (2017) Turing's Fallacies. [Preprint]

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Landsman, Klaas (2025) Is mathematics like a game? [Preprint]

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M

Maddy, Penelope (2017) Set-theoretic Foundations. [Preprint]

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Mazurek, Leszek (2020) Division by zero. [Preprint]

Muñoz Pérez, M. (2024) Believing in the objects: the shift to faith. [Preprint]

Muñoz Pérez, M. (2023) The Continuum Hypothesis: schisms and other isms. [Preprint]

Muñoz Pérez, M. (2025) On a form of intrinsic optimism in Set Theory. [Preprint]

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

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N

Nakano, Anderson (2020) On Ramsey's reason to amend Principia Mathematica's logicism and Wittgenstein's reaction. [Preprint]

P

Parker, Matthew W. (2017) Gödel's Argument for Cantorian Cardinality. Noûs.

Parker, Matthew W. (2013) Set Size and the Part–Whole Principle. Review of Symbolic Logic, 6 (4). pp. 589-612.

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

Poggiolesi, Francesca and Francez, Nissim (2021) Towards a generalization of the logic of grounding. THEORIA. An International Journal for Theory, History and Foundations of Science, 36 (1). pp. 5-24. ISSN 2171-679X

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R

Redhead, Michael (2019) A Simplified Version of Gödel’s Theorem. [Preprint]

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S

Samaroo, Ryan (2018) The Principle of Equivalence as a Criterion of Identity. [Preprint]

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Spirin, Denys (2025) Projection-Based Semantics of Universal Theory of Differentiation. [Preprint]

Srinivasan, Radhakrishnan (2024) Do arbitrary constants exist? A logical objection. [Preprint]

Srinivasan, Radhakrishnan (2023) Logical foundations of physics. Resolution of classical and quantum paradoxes in the finitistic paraconsistent logic NAFL. [Preprint]

Stoica, Ovidiu Cristinel (2024) Is the Wavefunction Already an Object on Space? Symmetry, 16 (10). pp. 1-23. ISSN 2073-8994

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T

Takamatsu, Kaoru (2025) The identification of numbers with operators. [Preprint]

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V

Veilahti, Antti (2017) Higher Theory and the Three Problems of Physics. [Preprint]

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W

Weinstein, Galina (2023) The Neverending Story of the Eternal Wormhole and the Noisy Sycamore. [Preprint]

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Ásgeir, Berg (2023) Was Wittgenstein a radical conventionalist? [Preprint]