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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. Propositional calculus - Wikipedia

    en.wikipedia.org/wiki/Propositional_calculus

    Propositional logic deals with statements, which are defined as declarative sentences having truth value. [29] [1] Examples of statements might include: Wikipedia is a free online encyclopedia that anyone can edit. London is the capital of England. All Wikipedia editors speak at least three languages.

  5. List of rules of inference - Wikipedia

    en.wikipedia.org/wiki/List_of_rules_of_inference

    Each logic operator can be used in an assertion about variables and operations, showing a basic rule of inference. Examples: The column-14 operator (OR), shows Addition rule: when p=T (the hypothesis selects the first two lines of the table), we see (at column-14) that p∨q=T.

  6. 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]

  7. 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 ...

  8. Contraposition - Wikipedia

    en.wikipedia.org/wiki/Contraposition

    An example traditionally used by logicians contrasting sufficient and necessary conditions is the statement "If there is fire, then oxygen is present". An oxygenated environment is necessary for fire or combustion, but simply because there is an oxygenated environment does not necessarily mean that fire or combustion is occurring.

  9. Affirmative conclusion from a negative premise - Wikipedia

    en.wikipedia.org/wiki/Affirmative_conclusion...

    Affirmative conclusion from a negative premise (illicit negative) is a formal fallacy that is committed when a categorical syllogism has a positive conclusion and one or two negative premises. For example: No fish are dogs, and no dogs can fly, therefore all fish can fly.