• Curry's paradox is a paradox in which an arbitrary claim F is proved from the mere existence of a sentence C that says of itself "If C, then F". The paradox...
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  • of sets with properties or predicates were flawed. Others, such as Curry's paradox, cannot be easily resolved by making foundational changes in a logical...
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  • by Moses Schönfinkel, for which Curry did much of the development. Curry is also known for Curry's paradox and the Curry–Howard correspondence. Named for...
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  • implementation of fix {\displaystyle {\textrm {fix}}} is Haskell Curry's paradoxical combinator Y, given by: 131  Y = λ f .   ( λ x . f   ( x   x ) )...
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  • Kleene–Rosser paradox is a paradox that shows that certain systems of formal logic are inconsistent, in particular the version of Haskell Curry's combinatory...
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  • with worlds, see the entries on modal logic and on Kripke semantics. Curry's paradox is a serious problem for logicians who are interested in developing...
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  • paradox, showing that the original lambda calculus is inconsistent, by means of a self-negating statement Curry's paradox (named after Haskell Curry)...
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  • Curry's paradox: "If this sentence is true, then Germany borders China." Epimenides paradox: A Cretan says: "All Cretans are liars". This paradox works...
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  • Berry paradox, which also uses numbers definable by language. Curry's paradox List of self–referential paradoxes Kleene–Rosser paradox List of paradoxes Löb's...
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  • Thumbnail for Missing square puzzle
    Square variant with a video demonstration. Curry's Paradox: How Is It Possible? at cut-the-knot Jigsaw Paradox The Eleven Holes Puzzle "Infinite Chocolate...
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  • named for Martin Hugo Löb, who formulated it in 1955. It is related to Curry's paradox. Provability logic abstracts away from the details of encodings used...
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  • contested by other philosophers on the grounds that, as evidenced by Curry's paradox, joint reliance on (T) and classical logic might be problematic even...
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  • truth that does not fall prey to paradoxes such as the Liar. However, such systems must also avoid Curry's paradox, which is much more difficult as it...
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  • both that Y ∈ Y → {} ≠ {} and Y ∈ Y holds, hence {} ≠ {}. This is Curry's paradox. It is (perhaps surprisingly) not the possibility of x ∈ x that is...
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  • admitted. Furthermore, paradoxes of self reference can be constructed without even invoking negation at all, as in Curry's paradox.[citation needed] Some...
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  • W2\ W3\ impI (W4\ impI (W5\ andI (andI W4 (andE1 W5)) (andE2 W5))) Curry's paradox#Lambda calculus — about inconsistency problems caused by combining...
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  • rearrangement – Rudolf Criegee Curie point – Pierre Curie Curry's paradox – Haskell Curry Curtin–Hammett principle – David Yarrow Curtin and Louis Plack...
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  • Justice League: The Flashpoint Paradox is a 2013 American animated superhero film directed by Jay Oliva and written by Jim Krieg. It is the adaptation...
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  • ergo propter hoc Cura te ipsum Curie Curiosity Curious George Brigade Curry's paradox Curt John Ducasse Curve fitting problem Cusa Cusanus Cut-elimination...
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  • Curie, French physicist – Curie point Haskell Curry, American mathematician – currying, Curry's paradox, Curry–Howard correspondence Robert E. Curtiss - Curtiss'...
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  • Thumbnail for Trivialism
    can be assumed to be true as well according to Kabay. The liar's paradox, Curry's paradox, and the principle of explosion all can be asserted as valid and...
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  • Critical reading -- Critical thinking -- Critique of Pure Reason -- Curry's paradox -- Cyclic negation -- Dagfinn Føllesdal -- De Interpretatione -- De...
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  • only one value that satisfies the conditions on the variable (see Curry's paradox). Lambda lifting is expensive on processing time for the compiler....
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  • (computer science) Lambda lifting Fixed-point combinator Lambda calculus Curry's paradox Deductive lambda calculus Constraint logic programming Narrowing of...
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  • defining functions like factorials and other recursive functions. Curry paradox A paradox in logic that arises when considering a statement that asserts...
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  • The preparedness paradox is the proposition that if a society or individual acts effectively to mitigate a potential disaster such as a pandemic, natural...
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  • System U (redirect from Girard's paradox)
    the Curry–Howard correspondence, this is equivalent to all logical propositions being provable, which makes the system inconsistent. Girard's paradox is...
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  • Aquaman (redirect from Arthur Curry)
    original Aquaman had given a sample of his water hand to Dr. Curry in order to resurrect Curry's dead son, Arthur, whom he had named after the hero. When...
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  • formulations of combinatory logic were found to be inconsistent. Curry also discovered the Curry paradox, peculiar to combinatory logic; The lambda calculus, with...
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  • enchanted forest, then goes to an unnamed forest, then to Curry's Forest (named after Haskell Curry), then to Russell's Forest, then to The Forest Without...
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