LEADER 00000cam  2200421Ii 4500 
001    ocm1157524348 
003    OCoLC 
005    20210324040611.0 
008    200613s2021    enka     b    001 0 eng d 
020    0198809646|q(hardback) 
020    9780198809647|q(hardback) 
035    (OCoLC)1157524348 
040    YDX|beng|erda|cYDX|dUKMGB|dAS|dEAS 
050  4 B105.C5|bH57 2021 
082 04 111.6|223 
245 04 The history of continua :|bphilosophical and mathematical 
       perspectives /|cedited by Stewart Shapiro and Geoffrey 
       Hellman 
250    First edition 
264  1 Oxford, United Kingdom ;|aNew York, NY :|bOxford 
       University Press,|c2021 
300    viii, 577 pages :|billustrations (black and white) ;|c25 
       cm 
336    text|btxt|2rdacontent 
336    still image|bsti|2rdacontent 
337    unmediated|bn|2rdamedia 
338    volume|bnc|2rdacarrier 
504    Includes bibliographical references and index 
520 8  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 
650  0 Continuity 
650  0 Indivisibles (Philosophy) 
700 1  Shapiro, Stewart,|d1951-|eeditor 
700 1  Hellman, Geoffrey,|eeditor