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Numbers as Cognitive Tools

An Empirically Informed Nominalistic Account of the Nature of Numbers

Medium: Buch
ISBN: 978-3-031-98426-6
Verlag: Springer International Publishing
Erscheinungstermin: 19.07.2025
Lieferfrist: bis zu 10 Tage

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.


Produkteigenschaften


  • Artikelnummer: 9783031984266
  • Medium: Buch
  • ISBN: 978-3-031-98426-6
  • Verlag: Springer International Publishing
  • Erscheinungstermin: 19.07.2025
  • Sprache(n): Englisch
  • Auflage: Erscheinungsjahr 2025
  • Serie: Synthese Library
  • Produktform: Gebunden, HC runder Rücken kaschiert
  • Gewicht: 557 g
  • Seiten: 248
  • Format (B x H x T): 160 x 241 x 20 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.