Philosophy Dictionary of Arguments

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Operators, logic: operators are symbols for performing a function, e.g. and; or; if; then; etc.
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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 Concept Summary/Quotes Sources

P. Simons on Operators - Dictionary of Arguments

I 280
Possible Worlds/actuality operator/Simons: with an an actuality operator we can avoid reference to possible worlds, e.g. if there is a (non-empty) set in a world and all of its elements also exist in the other world, then there is the set itself in that world. Then without possible worlds, we can write:

CE N (a) N1(M(Ea u (x)[x ε a ⊃ A1 (E!x)] ⊃ Ea).

That is, when a part of b is in a world, then also in each world, in which b exists.
>Actual world
, >Actuality.

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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. Translations: Dictionary of Arguments
The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.

Simons I
P. Simons
Parts. A Study in Ontology Oxford New York 1987


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Ed. Martin Schulz, access date 2024-04-18
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