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In mathematical logic, a tautology (from Ancient Greek: ταυτολογία) is a formula that is true regardless of the interpretation of its component terms, with only the logical constants having a fixed meaning. For example, a formula that states, "the ball is green or the ball is not green," is always true, regardless of what a ball is ...
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 ...
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 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 ]
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 ...
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.
The following is a list of tautonyms: zoological names of species consisting of two identical words (the generic name and the specific name have the same spelling). Such names are allowed in zoology, but not in botany, where the two parts of the name of a species must differ (though differences as small as one letter are permitted, as in cumin, Cuminum cyminum).
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 ...