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Buttered cat paradox: Humorous example of a paradox from contradicting proverbs. Intentionally blank page: Many documents contain pages on which the text "This page intentionally left blank" is printed, thereby making the page not blank. Metabasis paradox: Conflicting definitions of what is the best kind of tragedy in Aristotle's Poetics.
One example occurs in the liar paradox, which is commonly formulated as the self-referential statement "This statement is false". [16] Another example occurs in the barber paradox, which poses the question of whether a barber who shaves all and only those who do not shave themselves will shave himself. In this paradox, the barber is a self ...
In literature, the paradox is an anomalous juxtaposition of incongruous ideas for the sake of striking exposition or unexpected insight. It functions as a method of literary composition and analysis that involves examining apparently contradictory statements and drawing conclusions either to reconcile them or to explain their presence.
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 ...
Quine's paradox is a paradox concerning truth values, stated by Willard Van Orman Quine. [1] It is related to the liar paradox as a problem, and it purports to show that a sentence can be paradoxical even if it is not self-referring and does not use demonstratives or indexicals (i.e. it does not explicitly refer to itself).
As illustrated above for the barber paradox, Russell's paradox is not hard to extend. Take: A transitive verb V , that can be applied to its substantive form. Form the sentence: The V er that V s all (and only those) who do not V themselves, Sometimes the "all" is replaced by "all V ers". An example would be "paint":
There is currently not any generally accepted explanation of Moore's paradox in the philosophical literature. However, while Moore's paradox remains a philosophical curiosity, Moorean-type sentences are used by logicians , computer scientists , and those working with artificial intelligence as examples of cases in which a knowledge, belief, or ...
The example in the previous section used unformalized, natural-language reasoning. Curry's paradox also occurs in some varieties of formal logic.In this context, it shows that if we assume there is a formal sentence (X → Y), where X itself is equivalent to (X → Y), then we can prove Y with a formal proof.