Cantor's ideas formed the basis for set theory and also for the mathematical treatment of the concept of infinity. The philosophical and heuristic framework he developed had a lasting effect on modern mathematics, and is the recurrent theme of this volume. Hallett explores Cantor's ideas and, in particular, their ramifications for Zermelo-Frankel set theory.

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'...the first full-length study of Cantor that does justice both to the mathematical importance of his work and to the philosophical ideas which governed it...' (Professor Michael Dummett, All Souls College, Oxford)

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