### Resumé

historiographic analysis of non-recent mathematics, in particular the sense that

can be given to claims that a particular mathematical culture was of algorithmic

type. It concludes that the adequacy of this epithet when applied to a

mathematical culture does not depend on whether texts used in teaching are

built up around paradigmatic examples but on whether the production of rules

or algorithms was regarded as a central activity for those whom we would count

as “mathematicians” (that is, producers of mathematical knowledge).

Three medieval examples of attitudes to algorithms follow. First, Jordanus

de Nemore’s De numeris datis is shown to develop a method to combine

algorithms and deductivity, in an alternative to algebra. Second, Barthélemy de

Romans’ graphic schemes for organizing the complex algorithms used to solve

the sophisticated variants of the problem of the “unknown heritage” are

discussed. Third is considered Nicholas Chuquet’s dismissal of these schemes

and algorithms, in favour of the algebraic tool.

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

Antal sider | 22 |

Status | Udgivet - 18 okt. 2011 |

### Citer dette

*Explicit and less explicit algorithmic thinking, 1200–1500: Jordanus de Nemore, and the contrast between Barthélemy de Romans et Chuquet: Contribution to the workshop “Pratiques algorithmiques dans les mathématiques pré modernes”, Université de Lille 3, 12 14 octobre 2011. Preprint, 18 October 2011. Preprint.*

}

**Explicit and less explicit algorithmic thinking, 1200–1500: Jordanus de Nemore, and the contrast between Barthélemy de Romans et Chuquet : Contribution to the workshop “Pratiques algorithmiques dans les mathématiques pré modernes”, Université de Lille 3, 12 14 octobre 2011. Preprint, 18 October 2011. Preprint.** / Høyrup, Jens.

Publikation: Working paper › Forskning

TY - UNPB

T1 - Explicit and less explicit algorithmic thinking, 1200–1500: Jordanus de Nemore, and the contrast between Barthélemy de Romans et Chuquet

T2 - Contribution to the workshop “Pratiques algorithmiques dans les mathématiques pré modernes”, Université de Lille 3, 12 14 octobre 2011. Preprint, 18 October 2011. Preprint.

AU - Høyrup, Jens

PY - 2011/10/18

Y1 - 2011/10/18

N2 - An introductory section discusses the utility of the algorithm concept in the historiographic analysis of non-recent mathematics, in particular the sense that can be given to claims that a particular mathematical culture was of algorithmic type. It concludes that the adequacy of this epithet when applied to a mathematical culture does not depend on whether texts used in teaching are built up around paradigmatic examples but on whether the production of rules or algorithms was regarded as a central activity for those whom we would count as “mathematicians” (that is, producers of mathematical knowledge). Three medieval examples of attitudes to algorithms follow. First, Jordanus de Nemore’s De numeris datis is shown to develop a method to combine algorithms and deductivity, in an alternative to algebra. Second, Barthélemy de Romans’ graphic schemes for organizing the complex algorithms used to solve the sophisticated variants of the problem of the “unknown heritage” are discussed. Third is considered Nicholas Chuquet’s dismissal of these schemes and algorithms, in favour of the algebraic tool.

AB - An introductory section discusses the utility of the algorithm concept in the historiographic analysis of non-recent mathematics, in particular the sense that can be given to claims that a particular mathematical culture was of algorithmic type. It concludes that the adequacy of this epithet when applied to a mathematical culture does not depend on whether texts used in teaching are built up around paradigmatic examples but on whether the production of rules or algorithms was regarded as a central activity for those whom we would count as “mathematicians” (that is, producers of mathematical knowledge). Three medieval examples of attitudes to algorithms follow. First, Jordanus de Nemore’s De numeris datis is shown to develop a method to combine algorithms and deductivity, in an alternative to algebra. Second, Barthélemy de Romans’ graphic schemes for organizing the complex algorithms used to solve the sophisticated variants of the problem of the “unknown heritage” are discussed. Third is considered Nicholas Chuquet’s dismissal of these schemes and algorithms, in favour of the algebraic tool.

M3 - Working paper

BT - Explicit and less explicit algorithmic thinking, 1200–1500: Jordanus de Nemore, and the contrast between Barthélemy de Romans et Chuquet

ER -