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The definition of tautology can be extended to sentences in predicate logic, which may contain quantifiers—a feature absent from sentences of propositional logic. Indeed, in propositional logic, there is no distinction between a tautology and a logically valid formula. In the context of predicate logic, many authors define a tautology to be a ...
A place name is tautological if two differently sounding parts of it are synonymous. This often occurs when a name from one language is imported into another and a standard descriptor is added on from the second language. Thus, for example, New Zealand's Mount Maunganui is tautological since "maunganui" is Māori for "great mountain". The ...
In literary criticism and rhetoric, a tautology is a statement that repeats an idea using near-synonymous morphemes, words or phrases, effectively "saying the same thing twice". [ 1 ] [ 2 ] Tautology and pleonasm are not consistently differentiated in literature. [ 3 ]
Tautology may refer to: Tautology (language) , a redundant statement in literature and rhetoric Tautology (logic) , in formal logic, a statement that is true in every possible interpretation
Tautological consequence can also be defined as ∧ ∧ ... ∧ → is a substitution instance of a tautology, with the same effect. [2]It follows from the definition that if a proposition p is a contradiction then p tautologically implies every proposition, because there is no truth valuation that causes p to be true and so the definition of tautological implication is trivially satisfied.
In mathematics, tautological may refer to: Logic: Tautological consequence; Geometry, where it is used as an alternative to canonical: Tautological bundle; Tautological line bundle; Tautological one-form; Tautology (grammar), unnecessary repetition, or more words than necessary, to say the same thing.
A bilingual tautological expression is a phrase that combines words that mean the same thing in two different languages. [8]: 138 An example of a bilingual tautological expression is the Yiddish expression מים אחרונים וואַסער mayim akhroynem vaser. It literally means "water last water" and refers to "water for washing the ...
The tautology rule may be expressed as a sequent ... where is a metalogical symbol meaning that is a syntactic consequence of , in the one case, in the other, in ...