About the Journal

The Journal for the Philosophy of Mathematics's (JPM) core mission is to publish high-quality research in the philosophy of mathematics and in the application of formal methods to philosophical problems concerning mathematics. JPM will be happy to consider contributions ranging from technical articles (having, however, clear philosophical motivations and aims) to purely philosophical, formalism-free articles. JPM also welcomes research that departs from traditional philosophical methodology and is interested in submissions employing methods from historical and social sciences, cognitive science, and neuroscience.

Current Issue

Vol. 1 (2024)
					View Vol. 1 (2024)
Published: 2024-09-10

Full Issue

  • Editorial

    Leon Horsten
    3
    DOI: https://doi.org/10.36253/jpm-2930

Articles

  • Enumerative Induction in Mathematics

    Alan Baker
    5-21
    DOI: https://doi.org/10.36253/jpm-2931
  • Construction Theorems and Constructive Proofs in Geometry

    John B. Burgess
    23-41
    DOI: https://doi.org/10.36253/jpm-2932
  • Definiteness in Early Set Theory

    Laura Crosilla, Øystein Linnebo
    43-62
    DOI: https://doi.org/10.36253/jpm-2933
  • Categoricity-like Properties in the First Order Realm

    Ali Enayat, Mateusz Łełyk
    63-98
    DOI: https://doi.org/10.36253/jpm-2934
  • Logical Constants and Unrestricted Quantification

    Volker Halbach
    99-112
    DOI: https://doi.org/10.36253/jpm-2935
  • How the Continuum Hypothesis could have been a Fundamental Axiom

    Joel David Hamkins
    113-126
    DOI: https://doi.org/10.36253/jpm-2936
  • Aristotle meets Frege: from Potentialism to Frege Arithmetic

    Stewart Shapiro
    127-153
    DOI: https://doi.org/10.36253/jpm-2937
  • Why be a Height Potentialist?

    Zeynep Soysal
    155-175
    DOI: https://doi.org/10.36253/jpm-2938
  • On the Limits of Comparing Subset Sizes within N

    Sylvia Wenmackers
    177-199
    DOI: https://doi.org/10.36253/jpm-2939
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