國立高雄大學圖資館 |

登入

回首頁

Numbers as cognitive toolsan 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 toolsby 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.
Contained By:	Springer Nature eBook
標題:	Arithmetic.
電子資源:	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 /
LDR:02237nmm a2200337 a 4500 001 685497
003 DE-He213
005 20250719130241.0
006 m d
007 cr nn 008maaau
008 260129s2025 sz s 0 eng d
020 $a 9783031984273$q(electronic bk.)
020 $a 9783031984266$q(paper)
024 7 $a 10.1007/978-3-031-98427-3 $2 doi
035 $a 978-3-031-98427-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA107.2
072 7 $a PBB $2 bicssc
072 7 $a MAT015000 $2 bisacsh
072 7 $a PBB $2 thema
082 0 4 $a 513 $2 23
090 $a QA107.2 $b .D722 2025
100 1 $a Dos Santos, César Frederico. $3 999578
245 1 0 $a Numbers as cognitive tools $h [electronic resource] : $b an empirically informed nominalistic account of the nature of numbers / $c by César Frederico dos Santos.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a ix, 248 p. : $b ill., digital ; $c 24 cm.
490 1 $a Synthese library, studies in epistemology, logic, methodology, and philosophy of science, $x 2542-8292 ; $v v. 510
505 0 $a 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.
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.
650 0 $a Arithmetic. $3 190872
650 0 $a Numbers, Real. $3 189607
650 0 $a Mathematics $x Philosophy. $3 187658
650 1 4 $a Philosophy of Mathematics. $3 745264
650 2 4 $a Analytic Philosophy. $3 739906
650 2 4 $a Cognitive Psychology. $3 273717
650 2 4 $a Developmental Psychology. $3 275080
650 2 4 $a Mathematics Education. $3 274700
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Synthese library, studies in epistemology, logic, methodology, and philosophy of science ; $v v.375. $3 739403
856 4 0 $u https://doi.org/10.1007/978-3-031-98427-3
950 $a Religion and Philosophy (SpringerNature-41175)