The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise
Dover Publications (1989)
| Abstract | David Hilbert famously remarked, “No one will drive us from the paradise that Cantor has created.” 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; logical objects and logical types; independence results and the universe of sets; and the constructs and reality of mathematical structure. Philosophers and mathematicians will find an abundance of intriguing topics in this text, which is appropriate for undergraduate- and graduate-level courses. 1989 ed. 32 figures. | |||||||||
| Keywords | Mathematics Philosophy Set theory | |||||||||
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| Buy the book | $12.40 direct from Amazon (18% off) Amazon page | |||||||||
| Call number | QA8.4.T54 2004 | |||||||||
| ISBN(s) | 0486435202 9780486435206 | |||||||||
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Similar books and articlesChristopher Menzel (1984). Cantor and the Burali-Forti Paradox. The Monist 67 (1):92-107.
I. Grattan-Guinness (1982). Psychology in the Foundations of Logic and Mathematics: The Cases of Boole, Cantor and Brouwer. History and Philosophy of Logic 3 (1):33-53.
Peter Schreiber (1996). Mengenlehre—Vom Himmel Cantors Zur Theoria Prima Inter Pares. NTM International Journal of History and Ethics of Natural Sciences, Technology and Medicine 4 (1):129-143.
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