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  2. List of paradoxes - Wikipedia

    en.wikipedia.org/wiki/List_of_paradoxes

    Movement paradox: In transformational linguistics, there are pairs of sentences in which the sentence without movement is ungrammatical while the sentence with movement is not. Sayre's paradox : In automated handwriting recognition, a cursively written word cannot be recognized without being segmented and cannot be segmented without being ...

  3. Paradox - Wikipedia

    en.wikipedia.org/wiki/Paradox

    "This sentence is false" is an example of the well-known liar paradox: it is a sentence that cannot be consistently interpreted as either true or false, because if it is known to be false, then it can be inferred that it must be true, and if it is known to be true, then it can be inferred that it must be false.

  4. Liar paradox - Wikipedia

    en.wikipedia.org/wiki/Liar_paradox

    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 ...

  5. Movement paradox - Wikipedia

    en.wikipedia.org/wiki/Movement_paradox

    A movement paradox is a phenomenon of grammar that challenges the transformational approach to syntax. [1] The importance of movement paradoxes is emphasized by those theories of syntax (e.g. lexical functional grammar, head-driven phrase structure grammar, construction grammar, most dependency grammars) that reject movement, i.e. the notion that discontinuities in syntax are explained by the ...

  6. Paradox (literature) - Wikipedia

    en.wikipedia.org/wiki/Paradox_(literature)

    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.

  7. Moore's paradox - Wikipedia

    en.wikipedia.org/wiki/Moore's_paradox

    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 ...

  8. Sorites paradox - Wikipedia

    en.wikipedia.org/wiki/Sorites_paradox

    The sorites paradox: If a heap is reduced by a single grain at a time, the question is at what exact point it ceases to be considered a heap. The sorites paradox (/ s oʊ ˈ r aɪ t iː z /), [1] sometimes known as the paradox of the heap, is a paradox that results from vague predicates. [2]

  9. Curry's paradox - Wikipedia

    en.wikipedia.org/wiki/Curry's_paradox

    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.