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The modal operator versions do not.
Similarly, we take the modal operator □ to be primitive and define the modal operator ◊ as ¬□¬.
At the word rank, the modal operator should is a finite in the verbal group.
Let K be the epistemic operator 'it is known by someone at some time that.' Let ◊ be the modal operator 'it is possible that'.
Kim initially maintained that the modal operator versions are equivalent to the above possible world definitions of weak and strong supervenience respectively (see esp. 1987, 79 82).
The semantic rules governing the modal operator 'A ' guarantee that every claim of the form AS will be either necessarily true or necessarily false in the sense of '□'.
Similar(45)
For the modal operators.
It is the modal operators that make the difference.
In particular, the modal operators get their standard interpretation.
The possible worlds analysis of the modal operators as quantifiers over worlds reveals that the unary syntactic form of the modal operators obscures a semantically relevant parameter.
For suppose that the modal operators, properly interpreted, are literally quantifiers over possible worlds.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com