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Numbers as cognitive toolsan empirically informed nominalistic account of the nature of numbers /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Numbers as cognitive toolsby César Frederico dos Santos.
Reminder of title:	an empirically informed nominalistic account of the nature of numbers /
Author:	Dos Santos, César Frederico.
Published:	Cham :Springer Nature Switzerland :2025.
Description:	ix, 248 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Arithmetic.
Online resource:	https://doi.org/10.1007/978-3-031-98427-3
ISBN:	9783031984273$q(electronic bk.)

Numbers as cognitive toolsan empirically informed nominalistic account of the nature of numbers /
Dos Santos, César Frederico.

Numbers as cognitive toolsan empirically informed nominalistic account of the nature of numbers /[electronic resource] :by César Frederico dos Santos. - Cham :Springer Nature Switzerland :2025. - ix, 248 p. :ill., digital ;24 cm. - Synthese library, studies in epistemology, logic, methodology, and philosophy of science,v. 5102542-8292 ;. - Synthese library, studies in epistemology, logic, methodology, and philosophy of science ;v.375..

1 Introduction -- 2 Methodological shortcoming in the philosophy of arithmetic -- 3. A methodological alternative -- 4 Quantical cognition -- 5 Numerical cognition -- 6 The historical origins of number concepts -- 7 The reification of number concepts -- 8 Back to the philosophy of arithmetic -- 9 Concluding remarks -- Glossary.

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.

ISBN: 9783031984273$q(electronic bk.)

Standard No.: 10.1007/978-3-031-98427-3doiSubjects--Topical Terms:

190872
Arithmetic.

LC Class. No.: QA107.2

Dewey Class. No.: 513

Numbers as cognitive toolsan empirically informed nominalistic account of the nature of numbers /
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520 $a 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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