|Selection function: taking from a set of non-empty sets one element per set. The axiom of choice says that such a selection function exists for any set of non-empty sets._____________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. |
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Definition Selection Function/Stalnaker/Lewis: f, selects for each antecedent A and, for each i the set of all next (accessible) possible worlds for A-worlds with respect to i - were A >>would C in i iff C holds everywhere in the selected set f(A, i).
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Explanation/(s): "were A >>would C" means: If A were the case, C would be the case._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution.
Die Identität von Körper und Geist Frankfurt 1989
Konventionen Berlin 1975
Philosophical Papers Bd I New York Oxford 1983
Philosophical Papers Bd II New York Oxford 1986
Cl. I. Lewis
Mind and the World Order: Outline of a Theory of Knowledge (Dover Books on Western Philosophy) 1991