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

Includes bibliographical references (pages 594-669) and index.

Print version record.

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.

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.

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