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dc.contributor.authorKanamori, Akihiroen_US
dc.contributor.editorShapiro, Stewarten_US
dc.date2017-08-01
dc.date.accessioned2019-02-04T19:30:16Z
dc.date.available2019-02-04T19:30:16Z
dc.date.issued2019
dc.identifier.citationA. Kanamori. 2019. "Cantor and continuity."
dc.identifier.urihttps://hdl.handle.net/2144/33277
dc.description.abstractGeorg Cantor (1845-1919), with his seminal work on sets and number, brought forth a new field of inquiry, set theory, and ushered in a way of proceeding in mathematics, one at base infinitary, topological, and combinatorial. While this was the thrust, his work at the beginning was embedded in issues and concerns of real analysis and contributed fundamentally to its 19th Century rigorization, a development turning on limits and continuity. And a continuing engagement with limits and continuity would be very much part of Cantor's mathematical journey, even as dramatically new conceptualizations emerged. Evolutionary accounts of Cantor's work mostly underscore his progressive ascent through settheoretic constructs to transfinite number, this as the storied beginnings of set theory. In this article, we consider Cantor's work with a steady focus on continuity, putting it first into the context of rigorization and then pursuing the increasingly set-theoretic constructs leading to its further elucidations.en_US
dc.language.isoen_US
dc.publisherOxford University Pressen_US
dc.relation.ispartofContinuity
dc.subjectMathematicsen_US
dc.titleCantor and continuityen_US
dc.typeBook chapteren_US
dc.description.versionAccepted manuscripten_US
dc.description.embargo2021-12-31
pubs.elements-sourcemanual-entryen_US
pubs.notesEmbargo: Not knownen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Arts & Sciencesen_US
pubs.organisational-groupBoston University, College of Arts & Sciences, Department of Mathematics & Statisticsen_US
pubs.publication-statusAccepteden_US


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