### 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.

Original language | English |
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Title of host publication | The Nature and Development of Mathematics : Cross Disciplinary Perspectives on Cognition, Learning and Culture |

Editors | John W. Adams, Patrick Barmby, Alex Mesoudi |

Place of Publication | London & New York |

Publisher | Routledge |

Publication date | 2017 |

Pages | 179-196 |

Chapter | 4.2 |

ISBN (Print) | 978-1-138-12441-7 |

ISBN (Electronic) | 9781315648163 |

Publication status | Published - 2017 |

Event | Emergent mathematics workshop - Durham University, Stockton on Tees, United Kingdom Duration: 16 Mar 2015 → 16 Mar 2015 |

### Workshop

Workshop | Emergent mathematics workshop |
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Location | Durham University |

Country | United Kingdom |

City | Stockton on Tees |

Period | 16/03/2015 → 16/03/2015 |

## Cite this

Høyrup, J. (2017). What is mathematics? Perspectives inspired by anthropology. In J. W. Adams, P. Barmby, & A. Mesoudi (Eds.),

*The Nature and Development of Mathematics: Cross Disciplinary Perspectives on Cognition, Learning and Culture*(pp. 179-196). Routledge.