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The History of Continua : Philosophical and Mathematical Perspectives Philosophical and Mathematical Perspectives
edited_book
Author(s):
Stewart Shapiro
,
Geoffrey Hellman
Publication date
(Online):
December 17 2020
Publisher:
Oxford University Press
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Book
ISBN (Print):
9780198809647
ISBN (Electronic):
9780191846915
Publication date (Print):
December 01 2020
Publication date (Online):
December 17 2020
SO-VID:
d38e59d4-9ea8-43bd-b9c4-125302bec539
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Book chapters
pp. 1
Introduction
pp. 6
Divisibility or Indivisibility
pp. 27
Contiguity, Continuity, and Continuous Change
pp. 49
Infinity and Continuity
pp. 82
Continuous Extension and Indivisibles in Galileo
pp. 104
The Indivisibles of the Continuum
pp. 123
The Continuum, the Infinitely Small, and the Law of Continuity in Leibniz
pp. 158
Continuity and Intuition in Eighteenth-Century Analysis and in Kant
pp. 187
Bolzano on Continuity
pp. 219
Cantor and Continuity
pp. 255
Dedekind on Continuity
pp. 283
What Is a Number?
pp. 299
Continuity in Intuitionism
pp. 328
The Peircean Continuum
pp. 347
Points as Higher-Order Constructs
pp. 379
The Predicative Conception of the Continuum
pp. 427
Point-Free Continuum
pp. 476
Intuitionistic/Constructive Accounts of the Continuum Today
pp. 502
Contemporary Infinitesimalist Theories of Continua and Their Late Nineteenth- and Early Twentieth-Century Forerunners
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