## Philosophy Lexicon of Arguments | |||

Sets: a set is a summary of objects relating to a property. In the set theory, conditions are established for the formation of sets. In general, sets of numbers are considered. Everyday objects as elements of sets are special cases and are called primordial elements. Sets are, in contrast to e.g. sequences not ordered, i.e. no order is specified for the consideration of the elements. See also element relation, sub-sets, set theory, axioms. | |||

Author | Item | Excerpt | Meta data |
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Books on Amazon |
IV 40 Sets/Lewis: sets are non-individuals - but worlds may be individuals. --- IV 196 Set/object/Lewis: not all sets can be things - otherwise a thing would be larger than itself. --- ad V 16 Sets/(s): sets with non-numbers as elements: - sets of possible worlds - these are not sorted like numbers. - Stalnaker: he considers the choice function f(A,i) to be the only element of a set. - In contrast to Lewis: he considers the selected set to be the set itself - distinction set/element/(s): not possible like this with numbers, because the set {0.1}, which corresponds to the number 1, does not have a single element. - FregeVs: 0 is a subset, not an element. |
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 2017-05-27