Lexicon of Arguments

Philosophical and Scientific Issues in Dispute
 
[german]


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Theses II

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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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