Definition of Impredicative. Meaning of Impredicative. Synonyms of Impredicative

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

Definition of Impredicative

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Meaning of Impredicative from wikipedia

- function type is consistent with the types of the arguments. In an impredicative system, T {\displaystyle T} may be any type whatsoever, including a...
- mathematics, something that is impredicative is a self-referencing definition. Roughly speaking, a definition is impredicative if it invokes (mentions or...
- impredicative expressions such as x ε x can be treated in his logic, Russell proposed, as a kind of working hypothesis, that all such impredicative definitions...
- this makes its definition impredicative. Kleene ****erts that attempts to argue this away can be used to uphold the impredicative definitions in the paradoxes...
- proposed both intensional and extensional variants of the theory and early impredicative versions, shown to be inconsistent by Girard's paradox, gave way to...
- theory, Springer 1989 ISBN 0-387-51842-8 (for Veblen hierarchy and some impredicative ordinals). This is probably the most readable book on large countable...
- first-class data type Generic Haskell, C++11 first-class polymorphism impredicative polymorphism first-class message dynamic messages (method calls) Smalltalk...
- theory whose proofs make use of strongly impredicative arguments; this equivalence shows that these impredicative arguments cannot be removed. The following...
- thus giving the first example of a predicative result with a provably impredicative proof. This case of the theorem is still provable by Π1 1-CA0, but by...
- predicative calculus of inductive constructions (which removes some impredicativity)[citation needed]. The CoC is a higher-order typed lambda calculus...