Markus Pantsar. Numerical Cognition and the Epistemology of Arithmetic.
Published In: Philosophia Mathematica, 2025, v. 33, n. 1. P. 85 1 of 3
Database: Academic Search Ultimate 2 of 3
Authored By: Snyder, Eric 3 of 3
Abstract
The main focus of the text is a critical examination of Markus Pantsar's book, "Numerical Cognition and the Epistemology of Arithmetic," which explores the relationship between cognitive abilities, cultural practices, and the development of arithmetic knowledge. Pantsar argues that basic arithmetic knowledge arises from innate cognitive capacities, termed "proto-arithmetic abilities," which are culturally developed and transmitted, leading to the conclusion that arithmetic is not purely objective or universal but contingent on cultural conventions. The review highlights the book's structure, which includes discussions on ontogeny, phylogeny, and the epistemology of arithmetic, while also addressing potential weaknesses in Pantsar's arguments, particularly regarding the distinctions between numerosities and numbers, the bootstrapping process for acquiring number concepts, and the implications of his constructivist view on the nature of arithmetic truths. Overall, the text provides a comprehensive overview of Pantsar's contributions and the philosophical challenges they present. [Extracted from the article]
Additional Information
- Source:Philosophia Mathematica. 2025/02, Vol. 33, Issue 1, p85
- Document Type:Article
- Subject Area:Social Sciences and Humanities
- Publication Date:2025
- ISSN:0031-8019
- DOI:10.1093/philmat/nkae023
- Accession Number:185320533
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