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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 ...
Rudolf Dreikurs (February 8, 1897, Vienna – May 25, 1972, Chicago) was an Austrian psychiatrist and educator who developed psychologist Alfred Adler's system of individual psychology into a pragmatic method for understanding the purposes of reprehensible behaviour in children and for stimulating cooperative behaviour without punishment or reward.
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.
By invoking the fallacy, the contested issue of lying is ignored (cf. whataboutism). The tu quoque fallacy is a specific type of "two wrongs make a right". Accusing another of not practicing what they preach, while appropriate in some situations, [a] does not in itself invalidate an action or statement that is perceived as contradictory.
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]
Dialetheism (/ d aɪ ə ˈ l ɛ θ i ɪ z əm /; from Greek δι-di-'twice' and ἀλήθεια alḗtheia 'truth') is the view that there are statements that are both true and false. More precisely, it is the belief that there can be a true statement whose negation is also true.
Attacking Faulty Reasoning: A Practical Guide to Fallacy-free Arguments [1] is a textbook on logical fallacies by T. Edward Damer that has been used for many years in a number of college courses on logic, critical thinking, argumentation, and philosophy. It explains 60 of the most commonly committed fallacies.