What is mathematics? Perspectives inspired by anthropology

Publikation: Bidrag til bog/antologi/rapportKonferencebidrag i proceedingsForskningpeer review

Abstract

The paper discusses the question “What is mathematics?” from a point of view inspired by anthropology. In this perspective, the character of mathematical thinking and argument is strongly affected - almost essentially determined, indeed - by the dynamics of the specific social, mostly professional environments by which it is carried. Environments where future practitioners are taught as apprentices produce an approach different from that resulting from teaching in a school - the latter inviting to intra-mathematical explanation in a way the former does not. Moreover, once the interaction with the early classical Greek philosophical quest for causes and general explanations had caused mathematical explanation to become an autonomous endeavour in the shape of explicit proof and deductivity, proof and deductivity presented themselves as options - sometimes exploited, sometimes not - even in the teaching of mathematics for practitioners.
OriginalsprogEngelsk
TitelThe Nature and Development of Mathematics : Cross Disciplinary Perspectives on Cognition, Learning and Culture
RedaktørerJohn W. Adams, Patrick Barmby, Alex Mesoudi
Udgivelses stedLondon & New York
ForlagRoutledge
Publikationsdato2017
Sider179-196
Kapitel4.2
ISBN (Trykt)978-1-138-12441-7
ISBN (Elektronisk)9781315648163
StatusUdgivet - 2017
BegivenhedEmergent mathematics workshop - Durham University, Stockton on Tees, Storbritannien
Varighed: 16 mar. 201516 mar. 2015

Workshop

WorkshopEmergent mathematics workshop
LokationDurham University
LandStorbritannien
ByStockton on Tees
Periode16/03/201516/03/2015

Citer dette

Høyrup, J. (2017). What is mathematics? Perspectives inspired by anthropology. I J. W. Adams, P. Barmby, & A. Mesoudi (red.), The Nature and Development of Mathematics: Cross Disciplinary Perspectives on Cognition, Learning and Culture (s. 179-196). Routledge.