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Numbers as Cognitive Tools

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Numbers as Cognitive Tools

An Empirically Informed Nominalistic Account of the Nature of Numbers

César Frederico Dos Santos

Springer
Publication date : 2025-07-18

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This books offers a novel account of the nature of numbers firmly grounded in results from numerical cognition and the philosophy of mathematics. Drawing on empirical data on the human experience of what we call “numbers,” the author shows that numbers do not exist as abstract objects, but that the idea that they do is a useful cognitive tool. Contrary to the platonist view, according to which arithmetic is true of a realm of abstract entities, the nominalistic account presented in this book shows arithmetic to be true of descriptions of structural properties of techniques such as counting and calculating procedures. This book is of interest to both philosophers and cognitive scientists who want to have a deeper understanding of what numbers are.

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About the book

Author

César Frederico dos Santos

Imprint

Springer

Collection

n.c

Publication date

2025-07-18

Pages

248 pages

Print ISBN

9783031984266

Language

English

Ebook informations

EAN PDF

9783031984273

Price

£89.50

Copy count 2

Print count 24

File size 5868 Ko

Informations accessibility

EAN EPUB

9783031984273

Price

£89.50

Copy count 2

Print count 24

File size 2345 Ko

Informations accessibility

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About author(s)

César Frederico dos Santos

?César Frederico dos Santos obtained bachelor’s degrees in Information Systems (2004) and Philosophy (2010), and a master’s degree in Philosophy (2012) at the Federal University of Santa Catarina, Brazil. In 2013, he got a permanent position at the Department of Philosophy of the Federal University of Maranhão, Brazil. He recently obtained a PhD in Philosophy at the Vrije Universiteit Amsterdam. His main interests lie in the ontological status of numbers and other abstract objects, the epistemology of formal sciences, and empirically informed approaches to traditional philosophical issues. He has published articles on the philosophy of mathematics and logic exploring the philosophical importance of findings from experimental psychology for these disciplines.

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