Philosophy Dictionary of Arguments

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Modal Operators: modal operators are symbols for expressing possibility and necessity. These operators do not belong to classical logic, but fall into the field of modal logic. Their placement at the beginning or in the course of formulas determines the relative strength of statements that can be obtained from the interpretation of these formulas. See also range, stronger/weaker, modal logic, possible worlds.
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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

Richard Montague on Modal Operators - Dictionary of Arguments

Cresswell II 148
Modal Operator/MO/Montague/Cresswell: (Montague 1974, 286-302): Proof that modal operators are not predicates of sentences. (Also Anderson 1983).
>Predicates
, >Operators, >Phrases, >Phrase meaning.
SkyrmsVsMontague: (1978): denies the importance of this result. There would surely be a meaning in which modal operators could be given a metaphorical semantics.
>Metalanguage, >Semantics.
VsSkyrms/Cresswell: for this he pays the price of a very strict type hierarchy.
Cf. >Type theory, >Semantic types, >Levels, >Levels of description.


1. R. Montague Formal Philosophy: Selected Papers of Richard Montague. New Haven: Yale University Press (1974).
2. C. A. Anderson The Paradox of the Knower. The Journal of Philosophy 80, (1983), 338-355.
3. Brian Skyrms An immaculate conception of modality or how to confuse use and mention Journal of Philosophy 75 (7):368-387 (1978)

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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.

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 2024-04-27
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