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

No result for Impredicative. Showing similar results...

Meaning of Impredicative from wikipedia

- mathematics, something that is impredicative is a self-referencing definition. Roughly speaking, a definition is impredicative if it invokes (mentions or...
- function type is consistent with the types of the arguments. In an impredicative system, T {\displaystyle T} may be any type whatsoever, including a...
- 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...
- proposed both intensional and extensional variants of the theory and early impredicative versions, shown to be inconsistent by Girard's paradox, gave way to...
- first-class data type Generic Haskell, C++11 first-class polymorphism impredicative polymorphism first-class message dynamic messages (method calls) Smalltalk...
- this makes its definition impredicative. Kleene ****erts that attempts to argue this away can be used to uphold the impredicative definitions in the paradoxes...
- theory whose proofs make use of strongly impredicative arguments; this equivalence shows that these impredicative arguments cannot be removed. The following...
- and set theory. One major challenge has been the ordinal analysis of impredicative theories. The first breakthrough in this direction was Takeuti's proof...
- For this reason, ordinal collapsing functions are described as an impredicative manner of naming ordinals. The details of the definition of ordinal...
- specification and replacement, as well as the axiom of power set, introduces impredicativity, a type of circularity, into the definitions of mathematical objects...