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  2. Normal modal logic - Wikipedia

    en.wikipedia.org/wiki/Normal_modal_logic

    Most modal logics commonly used nowadays (in terms of having philosophical motivations), e.g. C. I. Lewis's S4 and S5, are normal (and hence are extensions of K). However a number of deontic and epistemic logics, for example, are non-normal, often because they give up the Kripke schema. Every normal modal logic is regular and hence classical.

  3. Modal logic - Wikipedia

    en.wikipedia.org/wiki/Modal_logic

    Modal logic is a kind of logic used to represent statements about necessity and possibility.It plays a major role in philosophy and related fields as a tool for understanding concepts such as knowledge, obligation, and causation.

  4. Modal μ-calculus - Wikipedia

    en.wikipedia.org/wiki/Modal_μ-calculus

    In theoretical computer science, the modal μ-calculus (Lμ, L μ, sometimes just μ-calculus, although this can have a more general meaning) is an extension of propositional modal logic (with many modalities) by adding the least fixed point operator μ and the greatest fixed point operator ν, thus a fixed-point logic.

  5. Borrowed chord - Wikipedia

    en.wikipedia.org/wiki/Borrowed_chord

    A borrowed chord (also called mode mixture, [1] modal mixture, [2] substituted chord, [3] modal interchange, [1] or mutation [4]) is a chord borrowed from the parallel key (minor or major scale with the same tonic).

  6. Modal verb - Wikipedia

    en.wikipedia.org/wiki/Modal_verb

    Modal verbs in Italian form a distinct class (verbi modali or verbi servili). [7] They can be easily recognized by the fact that they are the only group of verbs that does not have a fixed auxiliary verb for forming the perfect , but they can inherit it from the verb they accompany – Italian can have two different auxiliary verbs for forming ...

  7. Modal adverbs - Wikipedia

    en.wikipedia.org/wiki/Modal_adverbs

    Modal adverbs often appear as clause-initial adjuncts, and have scope over the whole clause, [4] as in (1) with the adverb in bold. Probably, the biggest push for corruption prosecutions came in the mid-2000s. This has the same meaning as (2) with the paraphrase using the modal adjective (in bold).

  8. Fermat's little theorem - Wikipedia

    en.wikipedia.org/wiki/Fermat's_little_theorem

    If p is an odd prime and p − 1 = 2 s d with s > 0 and d odd > 0, then for every a coprime to p, either a d ≡ 1 (mod p) or there exists r such that 0 ≤ r < s and a 2 r d ≡ −1 (mod p). This result may be deduced from Fermat's little theorem by the fact that, if p is an odd prime, then the integers modulo p form a finite field , in which ...

  9. Extended modal realism - Wikipedia

    en.wikipedia.org/wiki/Extended_modal_realism

    The tree as a whole is a modally extended entity encompassing not just the actual tree but also all its modal parts belonging to other worlds. Like in Lewis's modal realism, [3] the term "actual" just has an indexical meaning: it refers to the modal index of the speaker. "Actual" is thus analogous to the spatial term "here" and the temporal ...

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