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  2. Affirmation and negation - Wikipedia

    en.wikipedia.org/wiki/Affirmation_and_negation

    Complex rules for negation also apply in Finnish; see Finnish grammar § Negation of verbs. In some languages negation may also affect the dependents of the verb; for example in some Slavic languages, such as Polish, the case of a direct object often changes from accusative to genitive when the verb is negated.

  3. Negative conclusion from affirmative premises - Wikipedia

    en.wikipedia.org/wiki/Negative_conclusion_from...

    Statements in syllogisms can be identified as the following forms: a: All A is B. (affirmative) e: No A is B. (negative) i: Some A is B. (affirmative) o: Some A is not B. (negative) The rule states that a syllogism in which both premises are of form a or i (affirmative) cannot reach a conclusion of form e or o (negative). Exactly one of the ...

  4. Negative raising - Wikipedia

    en.wikipedia.org/wiki/Negative_raising

    In linguistics, negative raising is a phenomenon that concerns the raising of negation from the embedded or subordinate clause of certain predicates to the matrix or main clause. [1] The higher copy of the negation, in the matrix clause, is pronounced; but the semantic meaning is interpreted as though it were present in the embedded clause. [2]

  5. Polarity item - Wikipedia

    en.wikipedia.org/wiki/Polarity_item

    A negation is a negative polarity item, abbreviated NPI or NEG. The linguistic environment in which a polarity item appears is a licensing context. In the simplest case, an affirmative statement provides a licensing context for a PPI, while negation provides a licensing context for an NPI. However, there are many complications, and not all ...

  6. Dialetheism - Wikipedia

    en.wikipedia.org/wiki/Dialetheism

    Dialetheism (/ d aɪ ə ˈ l ɛ θ i ɪ z əm /; from Greek δι-di-'twice' and ἀλήθεια alḗtheia 'truth') is the view that there are statements that are both true and false. More precisely, it is the belief that there can be a true statement whose negation is also true. Such statements are called "true contradictions", dialetheia, or ...

  7. Contraposition - Wikipedia

    en.wikipedia.org/wiki/Contraposition

    " In this case, unlike the last example, the inverse of the statement is true. The converse is "If a polygon has four sides, then it is a quadrilateral." Again, in this case, unlike the last example, the converse of the statement is true. The negation is "There is at least one quadrilateral that does not have four sides.

  8. Double negative - Wikipedia

    en.wikipedia.org/wiki/Double_negative

    Multiple negation is the more general term referring to the occurrence of more than one negative in a clause. In some languages, double negatives cancel one another and produce an affirmative; in other languages, doubled negatives intensify the negation.

  9. Closed-world assumption - Wikipedia

    en.wikipedia.org/wiki/Closed-world_assumption

    The language of logic programs with strong negation allows us to postulate the closed-world assumption for some statements and leave the other statements in the realm of the open-world assumption. [9] An intermediate ground between OWA and CWA is provided by the partial-closed world assumption (PCWA). Under the PCWA, the knowledge base is ...