Touching the transcendentals: tractional motion from the birth of calculus to future perspectives

Schnappschüsse moderner Mathematik aus 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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Mathematisches Fachgebiet

Algebra und Zahlentheorie
Analysis
Geometrie und Topologie

Verbindung zu anderen Gebieten

Informatik
Überlegungen zur Mathematik

Autor(en)

Pietro Milici

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2019-013-EN

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snapshots-2019-013.pdf

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snapshots: overview

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Mathematisches Fachgebiet

Algebra und Zahlentheorie
Analysis
Didaktik und Bildung
Diskrete Mathematik und Grundlagen
Geometrie und Topologie
Numerik und Wissenschaftliches Rechnen
Wahrscheinlichkeitstheorie und Statistik

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Chemie und Geowissenschaft
Informatik
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Überlegungen zur Mathematik

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