The history of continua : philosophical and mathematical perspectives /

Mathematical and philosophical thought about continuity has changed considerably over the ages, from Aristotle's insistence that a continuum is a unified whole, to the dominant account today, that a continuum is composed of infinitely many points. This text explores the key ideas and debates co...

Ausführliche Beschreibung

Gespeichert in:
Weitere Titel:
Philosophical and mathematical perspectives
Introduction /
Divisibility or indivisibility : the notion of continuity from the Presocratics to Aristotle /
Contiguity, continuity and continuous change : Alexander of Aphrodisias on Aristotle /
Infinity and continuity : Thomas Bradwardine and his contemporaries /
Continuous extension and indivisibles in Galileo /
The indivisibles of the continuum : seventeenth- century adventures in infinitesimal mathematics /
The continuum, the infinitely small, and the law of continuity in Leibniz /
Continuity and intuition in 18th century analysis and in Kant /
Bolzano on continuity /
Cantor and continuity /
Dedekind on continuity /
What is a number? : continua, magnitudes, quantities /
Continuity and intuitionism /
The Peircean continuum /
Points as higher-order constructs : Whitehead's method of extensive abstraction /
The predicative conception of the continuum /
Point-free continuum /
Intuitionistic/constructive accounts of the continuum today /
Contemporary infinitesimalist theories of continua and their late nineteenth and early twentieth century forerunners /
Hauptverfasser:
Hellman, Geoffrey, Shapiro, Stewart
Weitere Verfasser:
Hellman, Geoffrey (HerausgeberIn), Shapiro, Stewart (HerausgeberIn)
Format:
Elektronisch E-Book
Sprache:
Englisch
Veröffentlicht:
Oxford, England : Oxford University Press, [2021]
Ausgabe:
First edition.
Zusammenfassung:
Mathematical and philosophical thought about continuity has changed considerably over the ages, from Aristotle's insistence that a continuum is a unified whole, to the dominant account today, that a continuum is composed of infinitely many points. This text explores the key ideas and debates concerning continuity over more than 2500 years.
Umfang:
1 online resource (592 pages) : illustrations (black and white).
Anmerkungen:
This edition also issued in print: 2020.
Bibliografie:
Includes bibliographical references and index.
ISBN:
0-19-263847-5
0-19-184691-0
0-19-253749-0
Schlagworte:
Continuity.
Indivisibles (Philosophy)
Bezugswerke:
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