### Resumé

have been understood from the Greeks to Christian Wolff and by historians of mathematics

from Montucla to recent days. Drawing on earlier work of mine, and on the giants

on whose shoulders I (try to) stand, I then suggest a categorization of the mathematical knowledge types a historian has to deal with: the ‘sub-scientific’ type, carried by practitioners taught in an apprenticeship network; the ‘scholasticized’ type, taught supposedly for practice but in a ‘scribal’ school by masters whose own genuine practice is that of teaching; and the ‘scientific’ or theory-oriented type. In the end, the utility of this categorization is tried out on two specific cases.

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

Titel | Studies on the Ancient Exact Sciences in Honour of Lis Brack-Bernsen |

Redaktører | John M. Steele, Mathieu Ossendrijver |

Udgivelses sted | Berlin |

Forlag | Edition Topoi |

Publikationsdato | 2017 |

Sider | 207-224 |

ISBN (Trykt) | 978-3-9816384-5-5 |

DOI | |

Status | Udgivet - 2017 |

Navn | Topoi - Berlin Studies of the Ancient World |
---|---|

Vol/bind | 44 |

ISSN | 2191-5806 |

### Citer dette

*Studies on the Ancient Exact Sciences in Honour of Lis Brack-Bernsen*(s. 207-224). Berlin: Edition Topoi. Topoi - Berlin Studies of the Ancient World, Bind. 44 https://doi.org/10.17171/3-44

}

*Studies on the Ancient Exact Sciences in Honour of Lis Brack-Bernsen.*Edition Topoi, Berlin, Topoi - Berlin Studies of the Ancient World, bind 44, s. 207-224. https://doi.org/10.17171/3-44

**Practitioners – School ‘Mathematicians’ : The Divisions of Pre-Modern Mathematics and Its Actors.** / Høyrup, Jens.

Publikation: Bidrag til bog/antologi/rapport › Bidrag til bog/antologi › Forskning › peer review

TY - CHAP

T1 - Practitioners – School ‘Mathematicians’

T2 - The Divisions of Pre-Modern Mathematics and Its Actors

AU - Høyrup, Jens

PY - 2017

Y1 - 2017

N2 - The paper starts by looking at how ‘practical’ and ‘theoretical’ mathematics and their relationhave been understood from the Greeks to Christian Wolff and by historians of mathematicsfrom Montucla to recent days. Drawing on earlier work of mine, and on the giantson whose shoulders I (try to) stand, I then suggest a categorization of the mathematical knowledge types a historian has to deal with: the ‘sub-scientific’ type, carried by practitioners taught in an apprenticeship network; the ‘scholasticized’ type, taught supposedly for practice but in a ‘scribal’ school by masters whose own genuine practice is that of teaching; and the ‘scientific’ or theory-oriented type. In the end, the utility of this categorization is tried out on two specific cases.

AB - The paper starts by looking at how ‘practical’ and ‘theoretical’ mathematics and their relationhave been understood from the Greeks to Christian Wolff and by historians of mathematicsfrom Montucla to recent days. Drawing on earlier work of mine, and on the giantson whose shoulders I (try to) stand, I then suggest a categorization of the mathematical knowledge types a historian has to deal with: the ‘sub-scientific’ type, carried by practitioners taught in an apprenticeship network; the ‘scholasticized’ type, taught supposedly for practice but in a ‘scribal’ school by masters whose own genuine practice is that of teaching; and the ‘scientific’ or theory-oriented type. In the end, the utility of this categorization is tried out on two specific cases.

U2 - 10.17171/3-44

DO - 10.17171/3-44

M3 - Book chapter

SN - 978-3-9816384-5-5

SP - 207

EP - 224

BT - Studies on the Ancient Exact Sciences in Honour of Lis Brack-Bernsen

A2 - Steele, John M.

A2 - Ossendrijver, Mathieu

PB - Edition Topoi

CY - Berlin

ER -