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A key property of tautologies in propositional logic is that an effective method exists for testing whether a given formula is always satisfied (equiv., whether its negation is unsatisfiable). The definition of tautology can be extended to sentences in predicate logic , which may contain quantifiers —a feature absent from sentences of ...
English subordinators (also known as subordinating conjunctions or complementizers) are words that mostly mark clauses as subordinate. The subordinators form a closed lexical category in English and include whether ; and, in some of their uses, if , that , for , arguably to , and marginally how .
Correlative conjunctions are conjunctions within a syntax that aggregates or contrasts correlated actions, characteristics, or items in the manner of: [17] 1. The use of whether paired with or, as well as if paired with then as conditional conjunctions, e.g. - "Vegetables are nutritious whether you love them or you hate them."
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
However, not all compilers use the same order; for instance, an ordering in which disjunction is lower precedence than implication or bi-implication has also been used. [20] Sometimes precedence between conjunction and disjunction is unspecified requiring to provide it explicitly in given formula with parentheses.
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 ...
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.
Venn diagram of (true part in red) In logic and mathematics, the logical biconditional, also known as material biconditional or equivalence or biimplication or bientailment, is the logical connective used to conjoin two statements and to form the statement "if and only if" (often abbreviated as "iff " [1]), where is known as the antecedent, and the consequent.