### Abstrakt

The paper starts by looking at how ‘practical’ and ‘theoretical’ mathematics and their relation

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.

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 |
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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

Høyrup, J. (2017). Practitioners – School ‘Mathematicians’: The Divisions of Pre-Modern Mathematics and Its Actors. I J. M. Steele, & M. Ossendrijver (red.),

*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