The problem is that these seem modal.
Modal rigidity and modal constancy are very similar.
A composite modal sentence corresponds to a de dicto modal sentence.
For a more extensive treatment of quantified modal logic, consult the SEP entry on modal logic.
The question then arises: how does one show that a modal premise of a modal argument is justified?
If however the modal term occurs as an adverb modifying the copula, then it is a divided modal sentence.
The quality and quantity of such a de re modal sentence is determined by the corresponding non-modal sentence.
The term “advanced modal logic” refers to a tradition in modal logic research that is particularly well represented in departments of mathematics and computer science.
Bob Hale (in Hale 1995b) posed a dilemma for modal fictionalism (more specifically, Rosen’s version of modal fictionalism, though other varieties face a similar dilemma).
The main development of modal syllogistic in Campsall's work is his systematic application of the distinction between composite (de dicto) and divided (de re) modal sentences.
We need to distinguish here between an interest in claims which, as it happens, have modal implications, on the one hand, and an interest in those modal implications themselves, on the other.
(In Nolan 1997a I called a version of modal fictionalism which took both claims about possible worlds and modal claims to be true only according to fictions broad modal fictionalism.)
The most fundamental distinction in modal syllogistic is of course that between composite and divided modal sentences, but divided modal sentences are also equivocal according to Ockham.
Modal first-order (i.e., quantified modal) logic is perhaps one of the most intriguing multi-modal systems, as the combination of quantifiers and modalities raises several interesting questions.
The combination of propositional modal logic and pure quantificational logic is often called quantified modal logic and is discussed in section 13 of the entry on modal logic and the entry on actualism.
As well as conformity with our pre-theoretic modal judgements and inclusion of an encyclopedia of actual non-modal truths, Rosen 1990 mentions another source of information to apply in specifying the modal fiction.
Kripke’s 1962 “The Undecidability of Monadic Modal Quantification Theory” develops a parallel between first-order logic with one dyadic predicate and first-order monadic modal logic with just two predicate letters, to prove that this fragment of first-order modal logic is already undecidable.
The view that modal truth does not depend on the contents of the modal fiction (and usually, that what the contents of the modal fiction are depends on the modal truth), on the other hand, is known as “timid modal fictionalism”, again following Rosen (Rosen 1990, p. 354).
Rosen 1990 does talk, in the case of strong modal fictionalism, of an “analysis” of modal claims in terms of claims about what is true according to the modal fiction, so modal fictionalists who want to follow him in this need to be clear about whether they think this analysis gives the meaning of the modal claims they use.
While strong modal fictionalists cannot appeal to an independently constituted body of modal truths, one thing they can do is insist that the modal fiction respect our ordinary modal judgments: that is, that by and large if we accept a modal claim as true, the associated claim involving possible worlds will be true according to the modal fiction.
- of or relating to a musical mode; especially written in an ecclesiastical mode
- an auxiliary verb (such as `can' or `will') that is used to express modality
- relating to or constituting the most frequent value in a distribution
Example: the modal age at which American novelists reach their peak is 30
- relating to or expressing the mood of a verb
Example: modal auxiliary
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While strong modal fictionalists cannot appeal to an independently constituted body of modal truths one thing they can do is insist that the modal fiction respect our ordinary modal judgments that is that by and large if we accept a modal claim as true the associated claim involving possible worlds will be true according to the modal fiction