-
means to be
predicative or
impredicative.
Authors have
given different but
related definitions. The
opposite of
impredicativity is predicativity,
which essentially...
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including polymorphic types. An
example of a
system supporting full
impredicativity is
System F,
which allows instantiating ∀ α . α → α {\displaystyle...
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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...
- a
grammatical adjective In
mathematics and
logic something without impredicativity,
without a self-referencing
definition Predicative programming, a methodology...
-
mathematics and com****bility theory, self-reference (also
known as
impredicativity) is the key
concept in
proving limitations of many systems. Gödel's...
-
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...
- first-class data type
Generic Haskell, C++11 first-class
polymorphism impredicative polymorphism first-class
message dynamic messages (method calls) Smalltalk...
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proposed both
intensional and
extensional variants of the
theory and
early impredicative versions,
shown to be
inconsistent by Girard's paradox, gave way to...
- He
strongly opposed Cantorian set theory,
objecting to its use of
impredicative definitions. However, Poincaré did not
share Kantian views in all branches...
