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The definition may be extended to idiomatic phrases that behave as a unit and perform the same function, e.g. "as well as", "provided that". A simple literary example of a conjunction is "the truth of nature, and the power of giving interest" (Samuel Taylor Coleridge's Biographia Literaria). [3]
In logic, mathematics and linguistics, and is the truth-functional operator of conjunction or logical conjunction. The logical connective of this operator is typically represented as ∧ {\displaystyle \wedge } [ 1 ] or & {\displaystyle \&} or K {\displaystyle K} (prefix) or × {\displaystyle \times } or ⋅ {\displaystyle \cdot } [ 2 ] in ...
Besides explicit conjunction, conjunctive grammars allow implicit disjunction represented by multiple rules for a single nonterminal symbol, which is the only logical connective expressible in context-free grammars. Conjunction can be used, in particular, to specify intersection of languages.
In linguistics, the term conjunct has three distinct uses: . A conjunct is an adverbial that adds information to the sentence that is not considered part of the propositional content (or at least not essential) but which connects the sentence with previous parts of the discourse.
conjunctions of condition: such as if, unless, only if, whether or not, even if, in case (that); the conjunction that , which produces content clauses , as well as words that produce interrogative content clauses: whether , where , when , how , etc.
Both conjunction and disjunction are associative, commutative and idempotent in classical logic, most varieties of many-valued logic and intuitionistic logic. The same is true about distributivity of conjunction over disjunction and disjunction over conjunction, as well as for the absorption law.
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