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Sto caricando le informazioni... The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise (edizione 2004)di Mary Tiles (Autore)
Informazioni sull'operaThe Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise di Mary Tiles
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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. Non sono state trovate descrizioni di biblioteche |
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Google Books — Sto caricando le informazioni... GeneriSistema Decimale Melvil (DDC)511.322Natural sciences and mathematics Mathematics General Principles Mathematical (Symbolic) logic Set TheoryClassificazione LCVotoMedia:
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The exposition is clear but brisk, and though Tiles defines all her terms this book might be rough going to someone who has never encountered these ideas before. However, for a reader with a second-hand knowledge of how set theory, logic, and infinity are entangled, The Philosophy of Set Theory is an excellent way to tie all the loose ends together.
Errata:
Chapter 5, Section 3, page 108, paragraph 1
"...whereas the ordered union B+A..." should read "...B+A = ..."
Chapter 6, Section 2, page 122
The expression for the Sum Set Axiom looks incorrect to me. There is a for all x quantifier, but no x variable in the expression, which contains an unbound a variable which I think is supposed to be an x. ( )