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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.
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 ...
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 ...
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]
In some cases, contraposition involves a change of the former's quality (i.e. affirmation or negation). [5] For its symbolic expression in modern logic, see the rule of transposition . Contraposition also has philosophical application distinct from the other traditional inference processes of conversion and obversion where equivocation varies ...
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 ...
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.
The formulations here use implication and negation {,} as functionally complete set of basic connectives. Every logic system requires at least one non-nullary rule of inference. Classical propositional calculus typically uses the rule of modus ponens: