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Numerical Cognition and the Epistemology of Arithmetic by Markus Pantsar (2024, Hardcover)

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Numerical Cognition and the Epistemology of Arithmetic, Hardcover by Pantsar, Markus, ISBN 100946888X, ISBN-13 9781009468886, Brand New, Free shipping in the US Arithmetic is one of the foundations of our educational systems, but what exactly is it? This book provides a philosophical account of arithmetical knowledge that is based on the state-of-the-art empirical studies of numerical cognition. It explains how humans have developed arithmetic from humble origins to its modern status.

About this product

Product Identifiers

PublisherCambridge University Press

ISBN-10100946888X

ISBN-139781009468886

eBay Product ID (ePID)21065348534

Product Key Features

Number of Pages257 Pages

LanguageEnglish

Publication NameNumerical Cognition and the Epistemology of Arithmetic

Publication Year2024

SubjectPhilosophy & Social Aspects, General

TypeTextbook

Subject AreaMathematics, Science

AuthorMarkus Pantsar

FormatHardcover

Dimensions

Item Height0.8 in

Item Length9.3 in

Item Width6.2 in

Additional Product Features

Dewey Edition23

Reviews'This book is a refreshing, genuinely interdisciplinary exploration of cognitive and epistemological issues concerning numbers. Pantsar argues for the controversial thesis that arithmetic, although rooted in our shared cognitive abilities, is a cultural product. He then explores this thesis's various repercussions, tackling in a novel way traditional philosophical problems about mathematics.' Silvia de Toffoli, Scuola Universitaria Superiore IUSS Pavia

IllustratedYes

Dewey Decimal513.01

Table Of ContentPreface; Introduction: a fractured landscape; Part I. Ontogeny: 1. Proto-arithmetical; 2. Acquisition of number concepts; 3. Enculturation; Part II. Phylogeny and History: 4. The phylogeny and cultural history of number concepts; 5. The Development of arithmetic; 6. Cumulative cultural evolution; Part III. Epistemology and Ontology: 7. Conventionalism and intersubjectivity; 8. The character of arithmetical knowledge; 9. Ontological considerations; Conclusion; Bibliography; Index.

SynopsisArithmetic is one of the foundations of our educational systems, but what exactly is it? This book provides a philosophical account of arithmetical knowledge that is based on the state-of-the-art empirical studies of numerical cognition. It explains how humans have developed arithmetic from humble origins to its modern status., Arithmetic is one of the foundations of our educational systems, but what exactly is it? Numbers are everywhere in our modern societies, but what is our knowledge of numbers really about? This book provides a philosophical account of arithmetical knowledge that is based on the state-of-the-art empirical studies of numerical cognition. It explains how humans have developed arithmetic from humble origins to its modern status as an almost universally possessed knowledge and skill. Central to the account is the realisation that, while arithmetic is a human creation, the development of arithmetic is constrained by our evolutionarily developed cognitive architecture. Arithmetic is a sophisticated cultural development, but it is ultimately based on abilities with numerosities that we already possess as infants and share with many non-human animals. Therefore, arithmetic is not purely conventional, an arbitrary game akin to chess. Instead, arithmetic is deeply connected to our basic cognitive capacities.

LC Classification NumberQA141.P3 2024