Aktiviteter pr. år
Abstract
An introductory section discusses the utility of the algorithm concept in the
historiographic analysis of nonrecent 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.
historiographic analysis of nonrecent 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 
Aktiviteter
 1 Deltagelse i workshop, seminar og kursus

Workshop sur « Pratiques algorithmiques dans les mathématiques prémodernes »
Jens Høyrup (Taler)
14 okt. 2011Aktivitet: Deltagelse i eller arrangering af en begivenhed › Deltagelse i workshop, seminar og kursus
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