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dc.contributor.authorMilici, Pietro
dc.contributor.editorRandecker, Anja
dc.contributor.editorMunday, Sara
dc.contributor.editorJahns, Sophia
dc.date.accessioned2019-11-21T13:03:12Z
dc.date.available2019-11-21T13:03:12Z
dc.date.issued2019-11-21
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3685
dc.description.abstractWhen 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.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesSnapshots of modern mathematics from Oberwolfach;2019,13
dc.rightsAttribution-ShareAlike 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-sa/4.0/*
dc.titleTouching the transcendentals: tractional motion from the bir th of calculus to future perspectivesen_US
dc.typeArticleen_US
dc.identifier.doi10.14760/SNAP-2019-013-EN
local.series.idSNAP-2019-013-ENen_US
local.subject.snapshotAlgebra and Number Theoryen_US
local.subject.snapshotAnalysisen_US
local.subject.snapshotGeometry and Topologyen_US
dc.identifier.urnurn:nbn:de:101:1-2019112812102718989210
dc.identifier.ppn1683715845


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