Definition of Impredicativity. Meaning of Impredicativity. Synonyms of Impredicativity

Here you will find one or more explanations in English for the word Impredicativity. Also in the bottom left of the page several parts of wikipedia pages related to the word Impredicativity and, of course, Impredicativity synonyms and on the right images related to the word Impredicativity.

Definition of Impredicativity

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Meaning of Impredicativity from wikipedia

- means to be predicative or impredicative. Authors have given different but related definitions. The opposite of impredicativity is predicativity, which essentially...
- including polymorphic types. An example of a system supporting full impredicativity is System F, which allows instantiating ∀ α . α → α {\displaystyle...
- a grammatical adjective In mathematics and logic something without impredicativity, without a self-referencing definition Predicative programming, a methodology...
- totality I, Ά, β, and Γ. As noted below, some commentators insist that impredicativity in commonsense versions is harmless, but as the examples show below...
- predicative calculus of inductive constructions (which removes some impredicativity). The CoC is a higher-order typed lambda calculus, initially developed...
- specification and replacement, as well as the axiom of power set, introduces impredicativity, a type of circularity, into the definitions of mathematical objects...
- mathematics and com****bility theory, self-reference (also known as impredicativity) is the key concept in proving limitations of many systems. Gödel's...
- first-class data type Generic Haskell, C++11 first-class polymorphism impredicative polymorphism first-class message dynamic messages (method calls) Smalltalk...
- He strongly opposed Cantorian set theory, objecting to its use of impredicative definitions[citation needed]. However, Poincaré did not share Kantian...
- proposed both intensional and extensional variants of the theory and early impredicative versions, shown to be inconsistent by Girard's paradox, gave way to...