### Resumé

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.

Originalsprog | Engelsk |
---|---|

Udgivelses sted | Roskilde |

Udgiver | Roskilde Universitet |

Antal sider | 19 |

Status | Udgivet - 23 mar. 2015 |

### Citer dette

*What is Mathematics? Perspectives inspired by anthropology*. Roskilde: Roskilde Universitet.

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**What is Mathematics? Perspectives inspired by anthropology.** / Høyrup, Jens.

Publikation: Working paper › Forskning

TY - UNPB

T1 - What is Mathematics?

T2 - Perspectives inspired by anthropology

AU - Høyrup, Jens

PY - 2015/3/23

Y1 - 2015/3/23

N2 - The paper discusses the question “what is mathematics” from a point of viewinspired by anthropology. In this perspective, the character of mathematicalthinking and argument is strongly affected – almost essentially determined,indeed – by the dynamics of the specific social, mostly professional environmentsby which it is carried. Environments where future practitioners are taught asapprentices produce an approach different from that resulting from teachingin a school – the latter inviting to intra-mathematical explanation in a way theformer does not. Moreover, once the interaction with the early classical Greekphilosophical quest for causes and general explanations had caused mathematicalexplanation to become an autonomous endeavour in the shape of explicit proofand deductivity, proof and deductivity presented themselves as options –sometimes exploited, sometimes not – even in the teaching of mathematics forpractitioners.

AB - The paper discusses the question “what is mathematics” from a point of viewinspired by anthropology. In this perspective, the character of mathematicalthinking and argument is strongly affected – almost essentially determined,indeed – by the dynamics of the specific social, mostly professional environmentsby which it is carried. Environments where future practitioners are taught asapprentices produce an approach different from that resulting from teachingin a school – the latter inviting to intra-mathematical explanation in a way theformer does not. Moreover, once the interaction with the early classical Greekphilosophical quest for causes and general explanations had caused mathematicalexplanation to become an autonomous endeavour in the shape of explicit proofand deductivity, proof and deductivity presented themselves as options –sometimes exploited, sometimes not – even in the teaching of mathematics forpractitioners.

M3 - Working paper

BT - What is Mathematics?

PB - Roskilde Universitet

CY - Roskilde

ER -