Pragmaticism as a philosophy of cognitive mathematics

Ahti Veikko Pietarinen*

*Corresponding author for this work

Research output: Chapter in book/report/conference proceedingChapterpeer-review


This chapter is a survey of Charles S. Peirce's philosophy of pragmaticism as applied to the analysis of the meanings of mathematical practice from foundational and cognitive points of view. Pragmaticism is a pluralist methodology addressing questions and topics such as (i) mathematical objects as hypothetical mental creations; (ii) the roots of mathematical theories in the experience of mathematical reasoners; (iii) the place of structuralist and other relational approaches in theories of mathematical practices, and (iv) pragmaticism itself as a distinct philosophy of (cognitive) mathematics.

Original languageEnglish
Title of host publicationHandbook of Cognitive Mathematics
EditorsMarcel Danesi
PublisherSpringer Cham
Number of pages37
ISBN (Electronic)9783031039454
ISBN (Print)9783031039447
Publication statusPublished - 1 Nov 2022

Scopus Subject Areas

  • Mathematics(all)
  • Social Sciences(all)
  • Medicine(all)
  • Neuroscience(all)

User-Defined Keywords

  • Cognitive mathematics
  • Peirce
  • Philosophy of mathematics
  • Pragmaticism
  • Semiotics


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