This volume offers a guided tour of modern mathematics' Garden of Eden, beginning with perspectives on the finite universe and classes and Aristotelian logic. Author Mary Tiles further examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory, and more. 1989 edition. Includes 32 figures.
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Focusing on Cantor's quest to determine how many points are in a line, Tiles (philosophy, University of Hawaii) explains the theory of Aristotelian logic and finite permutations and combinations, the principles of generation for ordinal numbers, the axiomatic approach to set theory, Fregean classes, and Russell's logicist reduction. The Dover editi
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