Philosophy Lexicon of Arguments

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Equal sign: a symbol, which states that the terms on the left and right hand side refer to the same object. The equal sign is defined for numbers. It has to be redefined when objects from other domains are to be linked. See also identity, equality.
 
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II 63
Equal sign / Meaning / Cresswell: the meaning of the equal sign we can interpret as a) set of triples and (if n not equal to m) - b) set of pairs for each number n - general: for any set A, there is a characteristic function CA so that CA (x) = T if x e A and CA (x) = F if x e A. -
II 64
These two variants are not entirely equivalent, because there could be a partial function, i.e. one that is not defined for some numbers.

Cr I
M. J. Cresswell
Semantical Essays (Possible worlds and their rivals) Dordrecht Boston 1988

Cr II
M. J. Cresswell
Structured Meanings Cambridge Mass. 1984


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Ed. Martin Schulz, access date 2017-05-28