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Numbers as cognitive tools = an empirically informed nominalistic account of the nature of numbers /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Numbers as cognitive tools/ by César Frederico dos Santos.
其他題名:	an empirically informed nominalistic account of the nature of numbers /
作者:	Dos Santos, César Frederico.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	ix, 248 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Arithmetic. -
電子資源:	https://doi.org/10.1007/978-3-031-98427-3
ISBN:	9783031984273

Numbers as cognitive tools = an 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 ;volume 510..

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

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

516223
Arithmetic.

LC Class. No.: QA107.2

Dewey Class. No.: 513

Numbers as cognitive tools = an empirically informed nominalistic account of the nature of numbers /
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