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The multi-sentence version of the liar paradox generalizes to any circular sequence of such statements (wherein the last statement asserts the truth/falsity of the first statement), provided there are an odd number of statements asserting the falsity of their successor; the following is a three-sentence version, with each statement asserting ...
The Polish logician Alfred Tarski identified three features of an adequate characterization of entailment: (1) The logical consequence relation relies on the logical form of the sentences: (2) The relation is a priori, i.e., it can be determined with or without regard to empirical evidence (sense experience); and (3) The logical consequence ...
Truth-default theory (TDT) is a communication theory which predicts and explains the use of veracity and deception detection in humans. It was developed upon the discovery of the veracity effect - whereby the proportion of truths versus lies presented in a judgement study on deception will drive accuracy rates.
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.
At first, the illusory truth effect was believed to occur only when individuals are highly uncertain about a given statement. [1] Psychologists also assumed that "outlandish" headlines wouldn't produce this effect however, recent research shows the illusory truth effect is indeed at play with false news. [5]
The rational consequence relation is non-monotonic, and the relation is intended to carry the meaning theta usually implies phi or phi usually follows from theta.In this sense it is more useful for modeling some everyday situations than a monotone consequence relation because the latter relation models facts in a more strict boolean fashion—something either follows under all circumstances or ...
Epimenides from "Promptuarii Iconum Insigniorum"The Epimenides paradox reveals a problem with self-reference in logic.It is named after the Cretan philosopher Epimenides of Knossos (alive circa 600 BC) who is credited with the original statement. [1]
Lying in a court of law, for instance, is a criminal offense . [37] Hannah Arendt spoke about extraordinary cases in which an entire society is being lied to consistently. She said that the consequences of such lying are "not that you believe the lies, but rather that nobody believes anything any longer.