Philosophy Dictionary of Arguments

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Domain: In model theory a set of defined objects, for which a model is satisfiable. In logic a set of objects that can be related to statements.

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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.

 
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Maxwell J. Cresswell on Domains - Dictionary of Arguments

I 190
Quantifier/Quantification/Cresswell: the idea that quantifiers occur with implicit restrictions, is not new. E.g. "Everyone has arrived" - of course does not mean that everyone has arrived from the universe.
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Hughes I 153
Henkin Proof: uses the apparatus of maximum consistent sets to show that for each consistent formula a verified model can be constructed.


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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 [Author1]Vs[Author2] or [Author]Vs[term] is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.

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

Hughes I
G.E. Hughes
Maxwell J. Cresswell
Einführung in die Modallogik Berlin New York 1978


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Ed. Martin Schulz, access date 2021-06-20
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