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BestsellerE-book
Author Grattan-Guinness, I.

Title The search for mathematical roots, 1870-1940 : logics, set theories and the foundations of mathematics from Cantor through Russell to Gödel / I. Grattan-Guinness.

Publication Info. Princeton, N.J. : Princeton University Press, [2000]
©2000

Item Status

Description 1 online resource (xiv, 690 pages) : illustrations
Physical Medium polychrome
Description text file
Bibliography Includes bibliographical references (pages 594-669) and index.
Contents Explanations -- Preludes : algebraic logic and mathematical analysis up to 1870 -- Cantor : mathematics as Mengenlehre -- Parallel processes in set theory, logics and axiomatics, 1870s-1900s -- Peano : the formulary of mathematics -- Russell's way in : from certainty to paradoxes, 1895-1903 -- Russell and Whitehead seek the Principia Mathematica, 1903-1913 -- The influence and place of logicism, 1910-1930 -- Postludes : mathematical logic and logicism in the 1930s -- The fate of the search -- Transcription of manuscripts.
Summary While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A.N. Whitehead in their Principia mathematica (1910-1913). This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys ar.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Arithmetic -- Foundations -- History -- 19th century.
Arithmetic -- Foundations.
History.
Chronological Term 19th century
Subject Arithmetic -- Foundations -- History -- 20th century.
Chronological Term 20th century
Subject Set theory -- History -- 19th century.
Set theory.
Set theory -- History -- 20th century.
Logic, Symbolic and mathematical -- History -- 19th century.
Logic, Symbolic and mathematical.
Logic, Symbolic and mathematical -- History -- 20th century.
Chronological Term 1800-1999
Genre/Form Electronic books.
History.
Electronic books.
Other Form: Print version: Grattan-Guinness, I. Search for mathematical roots, 1870-1940. Princeton, N.J. : Princeton University Press, ©2000 0691058571 (DLC) 00036694 (OCoLC)43729112
ISBN 1400814308 (electronic book)
9781400814305 (electronic book)
9781400824045 (electronic book)
1400824044 (electronic book)
0691058571
9780691058573
069105858X
9780691058580