Pragmaticism as a philosophy of cognitive mathematics

Ahti Veikko Pietarinen

doi:10.1007/978-3-031-03945-4_22

Pragmaticism as a philosophy of cognitive mathematics

Ahti Veikko Pietarinen^*

^*Corresponding author for this work

Department of Religion and Philosophy

Research output: Chapter in book/report/conference proceeding › Chapter › peer-review

Abstract

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 language	English
Title of host publication	Handbook of Cognitive Mathematics
Editors	Marcel Danesi
Publisher	Springer Cham
Pages	1243-1279
Number of pages	37
Edition	1st
ISBN (Electronic)	9783031039454
ISBN (Print)	9783031039447
DOIs	https://doi.org/10.1007/978-3-031-03945-4_22
Publication status	Published - 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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10.1007/978-3-031-03945-4_22

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Pragmaticism as a philosophy of cognitive mathematics

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