Pragmaticism as a Philosophy of Cognitive Mathematics

Ahti-Veikko Pietarinen ()
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Ahti-Veikko Pietarinen: Tallinn University of Technology

Chapter 39 in Handbook of Cognitive Mathematics, 2022, pp 1243-1279 from Springer

Abstract: 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.

Keywords: Pragmaticism; Cognitive mathematics; Peirce; Philosophy of mathematics; Semiotics (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-03945-4_22

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

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