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  2. Square of opposition - Wikipedia

    en.wikipedia.org/wiki/Square_of_opposition

    The logical square, also called square of opposition or square of Apuleius, has its origin in the four marked sentences to be employed in syllogistic reasoning: "Every man is bad," the universal affirmative - The negation of the universal affirmative "Not every man is bad" (or "Some men are not bad") - "Some men are bad," the particular ...

  3. Logic translation - Wikipedia

    en.wikipedia.org/wiki/Logic_translation

    This means that the source text is composed of logical formulas belonging to one logical system and the goal is to associate them with logical formulas belonging to another logical system. [21] For example, the formula A ( x ) {\displaystyle \Box A(x)} in modal logic can be translated into first-order logic using the formula ∀ y ( R ( x , y ...

  4. Glossary of logic - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_logic

    A result stating that if a formula is provable, then there exists a formula containing only the non-logical symbols common to and such that and are both provable. interpretation The assignment of meanings to the symbols and expressions of a formal language, or the way a particular set of terms is understood or construed.

  5. Affirmation and negation - Wikipedia

    en.wikipedia.org/wiki/Affirmation_and_negation

    Languages have a variety of grammatical rules for converting affirmative verb phrases or clauses into negative ones. In many languages, an affirmative is made negative by the addition of a particle, meaning "not". This may be added before the verb phrase, as with the Spanish no: (5) a. Está en casa (affirmative) "(S)he is at home" b.

  6. Categorical proposition - Wikipedia

    en.wikipedia.org/wiki/Categorical_proposition

    In logic, a categorical proposition, or categorical statement, is a proposition that asserts or denies that all or some of the members of one category (the subject term) are included in another (the predicate term). [1]

  7. Yes and no - Wikipedia

    en.wikipedia.org/wiki/Yes_and_no

    In Spanish, the words sí 'yes' and no 'no' are unambiguously classified as adverbs: serving as answers to questions and also modifying verbs. The affirmative sí can replace the verb after a negation (Yo no tengo coche, pero él sí = I don't own a car, but he does) or intensify it (I don't believe he owns a car.

  8. List of glossing abbreviations - Wikipedia

    en.wikipedia.org/wiki/List_of_glossing_abbreviations

    Grammatical abbreviations are generally written in full or small caps to visually distinguish them from the translations of lexical words. For instance, capital or small-cap PAST (frequently abbreviated to PST) glosses a grammatical past-tense morpheme, while lower-case 'past' would be a literal translation of a word with that meaning.

  9. Standard translation - Wikipedia

    en.wikipedia.org/wiki/Standard_translation

    The modal depth of a formula also becomes apparent in the translation to first-order logic. When the modal depth of a formula is k, then the first-order logic formula contains a 'chain' of k transitions from the starting world . The worlds are 'chained' in the sense that these worlds are visited by going from accessible to accessible world.