## 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. | |||

Author | Item | Excerpt | Meta data |
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Books on Amazon |
Schw I 79 ~ Classical Set Theory: set and element (member) are undefined. |
LW I D. Lewis Die Identität von Körper und Geist Frankfurt 1989 LW II D. Lewis Konventionen Berlin 1975 LW IV D. Lewis Philosophical Papers Bd I New York Oxford 1983 LW V D. Lewis Philosophical Papers Bd II New York Oxford 1986 LwCl I Cl. I. Lewis Mind and the World Order: Outline of a Theory of Knowledge (Dover Books on Western Philosophy) 1991 |

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Ed. Martin Schulz, access date 2017-05-26