History of Continua

History of Continua

Philosophical and Mathematical Perspectives

Hellman, Geoffrey; Shapiro, Stewart

Oxford University Press

12/2020

588

Dura

Inglês

9780198809647

15 a 20 dias

990

Descrição não disponível.
Introduction
1: Divisibility or indivisibility: the notion of continuity from the Presocratics to Aristotle, Barbara Sattler
2: Contiguity, continuity and continuous change: Alexander of Aphrodisias on Aristotle, Orna Harari
3: Infinity and continuity: Thomas Bradwardine and his contemporaries, Edith Dudley Sylla
4: Continuous extension and indivisibles in Galileo, Samuel Levey
5: The indivisibles of the continuum: seventeenth- century adventures in infinitesimal mathematics, Douglas. M Jesseph
6: The continuum, the infinitely small, and the law of conti- nuity in Leibniz, Samuel Levey
7: Continuity and intuition in 18th century analysis and in Kant, Daniel Sutherland
8: Bolzano on continuity, P. Rusnock
9: Cantor and continuity, Akihiro Kanamori
10: Dedekind on continuity, Emmylou Haner and Dirk Schlimm
11: What is a number?: continua, magnitudes, quantities, Charles McCarty
12: Continuity and intuitionism, Charles McCarty
13: The Peircean continuum, Francisco Vargas and Matthew E. Moore
14: Points as higher-order constructs: Whitehead's method of extensive abstraction, Achille C. Varzi
15: The predicative conception of the continuum, Peter Koellner
16: Point-free continuum, Giangiacomo Gerla
17: Intuitionistic/constructive accounts of the continuum today, John L. Bell
18: Contemporary innitesimalist theories of continua and their late 19th and early 20th century forerunners, Philip Ehrlich
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