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Touching the transcendentals: tractional motion from the birth of calculus to future perspectives
Instantanés de recherche mathématique à Oberwolfach
Touching the transcendentals: tractional motion from the birth of calculus to future perspectives
When the rigorous foundation of calculus was developed, it marked an epochal change in the approach of mathematicians to geometry. Tools from geometry had been one of the foundations of mathematics until the 17th century but today, mainstream conception relegates geometry to be merely a tool of visualization. In this snapshot, however, we consider geometric and constructive components of calculus. We reinterpret “tractional motion”, a late 17th century method to draw transcendental curves, in order to reintroduce “ideal machines” in math foundation for a constructive approach to calculus that avoids the concept of infinity.
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Sujet mathématique
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Algèbre et théorie des nombres
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Analyse
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/geometry-11.png?itok=7nie2HtL)
Géométrie et Topologie
Liens avec d'autres domaines
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Informatique
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Pensées mathématiques
Licence
DOI
10.14760/SNAP-2019-013-EN
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snapshots: overview
Sujet mathématique
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/algebra-12.png?itok=WMnSOls0)
Algèbre et théorie des nombres
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/analysis-06.png?itok=O4i7d5Wv)
Analyse
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Pédagogie et éducation
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Mathématiques discrètes et fondements des mathématiques
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Géométrie et Topologie
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Calcul numérique et calcul scientifique
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Théorie des probabilités et statistique
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Chimie et sciences de la terre
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Informatique
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Physique
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Pensées mathématiques