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The Boolean satisfiability problem is NP-complete, and consequently, tautology is co-NP-complete. It is widely believed that (equivalently for all NP-complete problems) no polynomial-time algorithm can solve the satisfiability problem, although some algorithms perform well on special classes of formulas, or terminate quickly on many instances. [8]
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.
Consequently, Thomas stressed societal problems such as intimacy, family, or education as fundamental to the role of the situation when detecting a social world "in which subjective impressions can be projected on to life and thereby become real to projectors". [3] The definition of the situation is a fundamental concept in symbolic interactionism.
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).
Logical consequence is necessary and formal, by way of examples that explain with formal proof and models of interpretation. [1] A sentence is said to be a logical consequence of a set of sentences, for a given language , if and only if , using only logic (i.e., without regard to any personal interpretations of the sentences) the sentence must ...
An example of this is the belief in luck as an entity; while a disproportionately strong belief in good luck may lead to undesirable results, such as a huge loss in money from gambling, biological functionalism maintains that the newly created ability of the gambler to condemn luck will allow them to be free of individual blame, thus serving a ...
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.
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