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The Search for Mathematical Roots, 1870-1940 : Logics, Set Theories and the Foundations of Mathematics From Cantor Through Russell to Gödel by Ivor Grattan-Guinness is a book available to read on EtoBox.

What is The Search for Mathematical Roots, 1870-1940 : Logics, Set Theories and the Foundations of Mathematics From Cantor Through Russell to Gödel about?

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 are provided of many related topics and figures of the late nineteenth century: the foundations of mathematical analysis under Weierstrass; the creation of algebraic logic by De Morgan, Boole, Peirce, Schröder, and Jevons; the contributions of Dedekind and Frege; the phenomenology of Husserl; and the proof theory of Hilbert. The many-sided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Gödel. A strong American theme runs though the story, beginning with the mathematician E. H. Moore and the philosophe

Author

Ivor Grattan-Guinness

Publisher

Princeton, N.J.: Princeton University Press

Published

2000

Language

EN

ISBN

9780691058580

Subjects

Philosophy, Science, History