Numbers as Cognitive Tools - E-book

eBook

Numbers As Cognitive Tools - ENG

An Empirically Informed Nominalistic Account Of The Nature Of Numbers

César Frederico dos Santos

eBook

$2,180.00

Disponible

Información adicional
Sinopsis

ISBN:	9783031984273
Formato:	ePub
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Educación
Subtema:	Métodos y materias de enseñanza matemática
Año de publicación:	2025-07-18

This books offers a novel account of the nature of numbers firmly grounded inÂ results from numerical cognition and the philosophy of mathematics. Drawing onÂ empirical data on the human experience of what we call â€œnumbers,â€? the authorÂ shows that numbers do not exist as abstract objects, but that the idea that theyÂ do is a useful cognitive tool. Contrary to the platonist view, according to whichÂ arithmetic is true of a realm of abstract entities, the nominalistic accountÂ presented in this book shows arithmetic to be true of descriptions of structuralÂ properties of techniques such as counting and calculating procedures. This book isÂ of interest to both philosophers and cognitive scientists who want to have aÂ deeper understanding of what numbers are.

eBooks