[PDF.68rx] The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise (Dover Books on Mathematics)
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The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise (Dover Books on Mathematics)
Mary Tiles
[PDF.ow01] The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise (Dover Books on Mathematics)
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| #775900 in Books | 2004-06-18 | 2004-06-18 | Original language:English | PDF # 1 | 8.50 x.58 x5.51l,.62 | File type: PDF | 272 pages||0 of 0 people found the following review helpful.| or that different alternatives are useful for different purposes|By Steven Williams|This book is an exploration of the philosophic consequences of the infinite, both potential and actual. It starts out looking at Zeno’s paradoxes. From there Aristotle’s view is look at. Then, limits are examine and what they mean for the finitist. Next the continuum is introduce and
A century ago, Georg Cantor demonstrated the possibility of a series of transfinite infinite numbers. His methods, unorthodox for the time, enabled him to derive theorems that established a mathematical reality for a hierarchy of infinities. Cantor's innovation was opposed, and ignored, by the establishment; years later, the value of his work was recognized and appreciated as a landmark in mathematical thought, forming the beginning of set theory and the f...
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