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These sentences may contain quantifiers, unlike sentences of propositional logic. In the context of first-order logic, a distinction is maintained between logical validities, sentences that are true in every model, and tautologies (or, tautological validities), which are a proper subset of the first-order logical validities. In the context of ...
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.
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 ...
Verificationism, also known as the verification principle or the verifiability criterion of meaning, is a doctrine in philosophy which asserts that a statement is meaningful only if it is either empirically verifiable (can be confirmed through the senses) or a tautology (true by virtue of its own meaning or its own logical form).
The use of tautologies, however, is usually unintentional. For example, the phrases "mental telepathy", "planned conspiracies", and "small dwarfs" imply that there are such things as physical telepathy, spontaneous conspiracies, and giant dwarfs, which are oxymorons. [8] Parallelism is not tautology, but rather a particular stylistic device.
Circular reasoning is closely related to begging the question, and in modern usage the two generally refer to the same thing. [4] Circular reasoning is often of the form: "A is true because B is true; B is true because A is true." Circularity can be difficult to detect if it involves a longer chain of propositions.
In [example 3], [very complicated formulas in a modus ponens] the implication is a tautological implication; in example (2) we have used a connective implication which is not tautological. The rule holds, however even if we use a merely adjunctive implciation, as in the example: If snow is white, then sugar is sweet. Snow is white _____
Tautological (disambiguation) Tautonym , a scientific name of a species in which both parts of the name have the same spelling Topics referred to by the same term