- Why did Fermat believe he had `a truly marvellous demonstration' of FLT?Bhupinder Singh Anand - manuscriptdetails
- Physical Possibility and Determinate Number Theory.Sharon Berry - manuscriptdetails
- On some historical aspects of the theory of Riemann zeta function.Giuseppe Iurato - manuscriptdetails
- On cut elimination for subsystems of second-order number theory.William Tait - manuscriptdetails
- Explication and the Foundation of Number Theory.Darren Mcdonald - unknown - Eidos: The Canadian Graduate Journal of Philosophy 18.details
- Physical Possibility and Determinate Number Theory.Sharon Berry - forthcoming - Philosophia Mathematica:nkab013.details
- Introduction to proof through number theory.Bennett Chow - 2023 - Providence, Rhode Island: American Mathematical Society.details
- Gödel Mathematics Versus Hilbert Mathematics. II Logicism and Hilbert Mathematics, the Identification of Logic and Set Theory, and Gödel’s 'Completeness Paper' (1930).Vasil Penchev - 2023 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 15 (1):1-61.details
- Idéaux de preuve : explication et pureté.Andrew Arana - 2022 - In Andrew Arana & Marco Panza (eds.), Précis de philosophie de la logique et des mathématiques. Volume 2, philosophie des mathématiques. Paris, France: pp. 387-425.details
- Unrealistic Models in Mathematics.William D'Alessandro - 2022 - Philosophers’ Imprint.details
- Turin, 1916, G. Fubini : une expérience de patrimonialisation en théorie des nombresTurin, 1916, G. Fubini: An Experiment in the Patrimonialisation of Number Theory. [REVIEW]Erika Luciano - 2022 - Philosophia Scientae 26:123-144.details
- Two-sorted Frege Arithmetic is not Conservative.Stephen Mackereth & Jeremy Avigad - 2022 - Review of Symbolic Logic:1-34.details
- F Things You (Probably) Didn't Know About Hexadecimal.Lloyd Strickland & Owain Daniel Jones - 2022 - The Mathematical Intelligencer 45.details
- Leibniz on Binary: The Invention of Computer Arithmetic.Lloyd Strickland & Harry R. Lewis - 2022 - Cambridge, MA, USA: The MIT Press.details
- On Not Saying What We Shouldn't Have to Say.Shay Logan & Leach-Krouse Graham - 2021 - Australasian Journal of Logic 18 (5):524-568.details
- Lorenzen's Proof of Consistency for Elementary Number Theory.Thierry Coquand & Stefan Neuwirth - 2020 - History and Philosophy of Logic 41 (3):281-290.details
- Proving Quadratic Reciprocity: Explanation, Disagreement, Transparency and Depth.William D’Alessandro - 2020 - Synthese (9):1-44.details
- Using Figurate Numbers in Elementary Number Theory – Discussing a ‘Useful’ Heuristic From the Perspectives of Semiotics and Cognitive Psychology.Leander Kempen & Rolf Biehler - 2020 - Frontiers in Psychology 11.details
- Modern Physics and Number Theory.Daniel Brox - 2019 - Foundations of Physics 49 (8):837-853.details
- Learning the Natural Numbers as a Child.Stefan Buijsman - 2019 - Noûs 53 (1):3-22.details
- Disentangling the Mechanisms of Symbolic Number Processing in Adults’ Mathematics and Arithmetic Achievement.Josetxu Orrantia, David Muñez, Laura Matilla, Rosario Sanchez, Sara San Romualdo & Lieven Verschaffel - 2019 - Cognitive Science 43 (1).details
- Hilbert's 10th Problem for solutions in a subring of Q.Agnieszka Peszek & Apoloniusz Tyszka - 2019 - Scientific Annals of Computer Science 29 (1):101-111.details
- On Certain Axiomatizations of Arithmetic of Natural and Integer Numbers.Urszula Wybraniec-Skardowska - 2019 - Axioms 2019 (Deductive Systems).details
- Avicenna and Number Theory.Pascal Crozet - 2018 - In Hassan Tahiri (ed.), The Philosophers and Mathematics: Festschrift for Roshdi Rashed. Springer Verlag. pp. 67-80.details
- Arithmetic, Set Theory, Reduction and Explanation.William D’Alessandro - 2018 - Synthese 195 (11):5059-5089.details
- Counting and Number Line Trainings in Kindergarten: Effects on Arithmetic Performance and Number Sense.Ilona Friso-van den Bos, Evelyn H. Kroesbergen & Johannes E. H. Van Luit - 2018 - Frontiers in Psychology 9.details
- How the Abstract Becomes Concrete: Irrational Numbers Are Understood Relative to Natural Numbers and Perfect Squares.Purav Patel & Sashank Varma - 2018 - Cognitive Science 42 (5):1642-1676.details
- Semantic alignment across whole-number arithmetic and rational numbers: evidence from a Russian perspective.Yulia A. Tyumeneva, Galina Larina, Ekaterina Alexandrova, Melissa DeWolf, Miriam Bassok & Keith J. Holyoak - 2018 - Thinking and Reasoning 24 (2):198-220.details
- SICs and Algebraic Number Theory.Marcus Appleby, Steven Flammia, Gary McConnell & Jon Yard - 2017 - Foundations of Physics 47 (8):1042-1059.details
- Husserl’s Early Semiotics and Number Signs: Philosophy of Arithmetic through the Lens of “On the Logic of Signs (Semiotic)".Thomas Byrne Iii - 2017 - Journal of the British Society of Phenomenology 48 (4):287-303.details
- Husserl’s Early Semiotics and Number Signs: Philosophy of Arithmetic through the Lens of “On the Logic of Signs ”.Thomas Byrne - 2017 - Journal of the British Society for Phenomenology 48 (4):287-303.details
- Kant's Conception of Number.Daniel Sutherland - 2017 - Philosophical Review Current Issue 126 (2):147-190.details
- Character and object.Rebecca Morris & Jeremy Avigad - 2016 - Review of Symbolic Logic 9 (3):480-510.details
- Arithmetic and Number in the Philosophy of Symbolic Forms.Jeremy Heis - 2015 - In Sebastian Luft & J. Tyler Friedman (eds.), The Philosophy of Ernst Cassirer: A Novel Assessment. De Gruyter. pp. 123-140.details
- A Logical Foundation of Arithmetic.Joongol Kim - 2015 - Studia Logica 103 (1):113-144.details
- Purity in Arithmetic: some Formal and Informal Issues.Andrew Arana - 2014 - In Godehard Link (ed.), Formalism and Beyond: On the Nature of Mathematical Discourse. De Gruyter. pp. 315-336.details
- The concept of “character” in Dirichlet’s theorem on primes in an arithmetic progression.Jeremy Avigad & Rebecca Morris - 2014 - Archive for History of Exact Sciences 68 (3):265-326.details
- Hilbert's Objectivity.Lydia Patton - 2014 - Historia Mathematica 41 (2):188-203.details
- Number symbolism - kalvesmaki the theology of arithmetic. Number symbolism in platonism and early christianity. Pp. X + 231, ills. Washington, D.c.: Center for hellenic studies, 2013. Paper, £16.95, €20.70, us$22.95. Isbn: 978-0-674-07330-2. [REVIEW]Svetla Slaveva-Griffin - 2014 - The Classical Review 64 (2):429-431.details
- On equality and natural numbers in Cantor-Lukasiewicz set theory.P. Hajek - 2013 - Logic Journal of the IGPL 21 (1):91-100.details
- Review of Graßmann, Robert, Theory of Number or Arithmetic in Strict Scientific Presentation by Strict Use of Formulas. [REVIEW]Otto Hölder - 2013 - Philosophia Scientiae 17 (1):57-70.details
- Review of Graßmann, Robert, Theory of Number or Arithmetic in Strict Scientific Presentation by Strict Use of Formulas (1891). [REVIEW]Otto Hölder - 2013 - Philosophia Scientiae 17 (17-1):57-70.details
- Review of Graßmann, Robert, Theory of Number or Arithmetic in Strict Scientific Presentation by Strict Use of Formulas. [REVIEW]Otto Hölder - 2013 - Philosophia Scientae 17:57-70.details
- Reference to numbers in natural language.Friederike Moltmann - 2013 - Philosophical Studies 162 (3):499 - 536.details
- Review of Grassmann, Robert, Theory of Number or Arithmetic in Strict Scientific Presentation by Strict Use of Formulas (1891): Otto Hölder (1859-1937). [REVIEW]Mircea Radu - 2013 - Philosophia Scientiae 17 (1):57-70.details
- What Counts as a Number?Jean W. Rioux - 2013 - International Philosophical Quarterly 53 (3):229-249.details
- On Infinite Number and Distance.Jeremy Gwiazda - 2012 - Constructivist Foundations 7 (2):126-130.details
- Vom Zahlen zu den Zahlen: On the Relation Between Computation and Arithmetical Structuralism.L. Horsten - 2012 - Philosophia Mathematica 20 (3):275-288.details
- Frege's Changing Conception of Number.Kevin C. Klement - 2012 - Theoria 78 (2):146-167.details
- Indexed Natural Numbers in Mind: A Formal Model of the Basic Mature Number Competence. [REVIEW]Wojciech Krysztofiak - 2012 - Axiomathes 22 (4):433-456.details
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