The History of Continua
Philosophical and Mathematical Perspectives
Mathematical and philosophical thought about continuity has changed considerably over the ages. Aristotle insisted that continuous substances are not composed of points, and that they can only be divided into parts potentially. There is something viscous about the continuous. It is a unified whole. This is in stark contrast with the prevailing contemporary account, which takes a continuum to be composed of an uncountably infinite set of points. This vlume presents acollective study of key ideas and debates within this history.The opening chapters focus on the ancient world, covering the pre-Socratics, Plato, Aristotle, and Alexander. The trea…
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Produktdetails
Weitere Autoren: Hellman, Geoffrey (Hrsg.)
- ISBN: 978-0-19-253749-2
- EAN: 9780192537492
- Produktnummer: 35365030
- Verlag: Oxford University Press
- Sprache: Englisch
- Erscheinungsjahr: 2020
- Seitenangabe: 320 S.
- Plattform: PDF
- Masse: 3'475 KB
Über den Autor
Stewart Shapiro received an M.A. in mathematics in 1975, and a Ph.D. in philosophy in 1978, both from the State University of New York at Buffalo. He is currently the O'Donnell Professor of Philosophy at The Ohio State University, and serves as Distinguished Visiting Professor at the University of Connecticut, and Presidential Fellow at the Hebrew University of Jerusalem. He has contributed to the philosophy of mathematics, philosophy of language, logic, andphilosophy of logic.Geoffrey Hellman received his BA and PhD from Harvard (PhD 1973). He has published widely in philosophy of quantum mechanics and philosophy of mathematics, developing a modal-structural interpretation of mathematics. He has also worked on predicative foundations of arithmetic (with Solomon Feferman) and pluralism in mathematics (with John L. Bell). In 2007 he was elected to the American Academy of Arts and Sciences. He and Stewart Shapiro co-authored Varieties of Continua: from Regions toPoints and Back (Oxford, 2018).
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