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商品詳細
Numbers as Cognitive Tools : An Empirically Informed Nominalistic Account of the Nature of Numbers.
・ISBN 978-3-031-98426-6 hard EUR 99.99
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| 著者・編者 | dos Santos, Cesar Frederico, |
|---|---|
| シリーズ | Synthese Library |
| 出版社 | (Springer, GW) |
| 出版年月 | 2025.08 |
| ページ数 | 248 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-16176> |
解説
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.