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Title The history of continua : philosophical and mathematical perspectives / edited by Stewart Shapiro and Geoffrey Hellman
Imprint Oxford, United Kingdom ; New York, NY : Oxford University Press, 2021
book jacket
 Euro-Am Studies Lib  111.6 H62964 2021    AVAILABLE  -  30500101569559
Edition First edition
Descript viii, 577 pages : illustrations (black and white) ; 25 cm
text txt rdacontent
still image sti rdacontent
unmediated n rdamedia
volume nc rdacarrier
Note Includes bibliographical references and index
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 a collective study of key ideas and debates within this history. 0The opening chapters focus on the ancient world, covering the pre-Socratics, Plato, Aristotle, and Alexander. The treatment of the medieval period focuses on a (relatively) recently discovered manuscript, by Bradwardine, and its relation to medieval views before, during, and after Bradwardine's time. In the so-called early modern period, mathematicians developed the calculus and, with that, the rise of infinitesimal techniques, thus transforming the notion of continuity. The main figures treated here include Galileo, Cavalieri, Leibniz, and Kant. In the early party of the nineteenth century, Bolzano was one of the first important mathematicians and philosophers to insist that continua are composed of points, and he made a heroic attempt to come to grips with the underlying issues concerning the infinite.0
Subject Continuity
Indivisibles (Philosophy)
Alt Author Shapiro, Stewart, 1951- editor
Hellman, Geoffrey, editor
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