Philosophy Lexicon of Arguments

Set Theory: set theory is the system of rules and axioms, which regulates the formation of sets. The elements are exclusively numbers. Sets contain individual objects, that is, numbers as elements. Furthermore, sets contain sub-sets, that is, again sets of elements. The set of all sub-sets of a set is called the power set. Each set contains the empty set as a subset, but not as an element. The size of sets is called the cardinality. Sets containing the same elements are identical. See also comprehension, comprehension axiom, selection axiom, infinity axiom, couple set axiom, extensionality principle.

Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.
Author Item    More concepts for author
Basieux, P. Set Theory   Basieux, P.
Bigelow, John Set Theory   Bigelow, John
Bourbaki, N. Set Theory   Bourbaki, N.
Cresswell, M.J. Set Theory   Cresswell, M.J.
Field, Hartry Set Theory   Field, Hartry
Lewis, David Set Theory   Lewis, David
Lorenzen, Paul Set Theory   Lorenzen, Paul
Mates, B. Set Theory   Mates, B.
Prior, Arthur Set Theory   Prior, Arthur
Quine, Willard Van Orman Set Theory   Quine, Willard Van Orman
Simons, Peter Set Theory   Simons, Peter
Thiel, Chr. Set Theory   Thiel, Chr.

Ed. Martin Schulz, access date 2017-06-24