The Philosophy of Set Theory: Historical Introduction to Cantor's Paradise | Dover Mathematics Book | Perfect for Math Students & Set Theory Enthusiasts
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Description
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.
Reviews
- Verified Buyer
This is best primer I have found for Cantor and Set Theory. She is very clear. Does a nice job with ZF/AC. I like the way she takes time to explain in words some contentious areas, like the contradictions in the concept of potential infinity. I used this book as the basis for a discussion group on applied math and the foundations of calculus. Worked really well. Yes, paradise.
