-
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...
-
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)[citation needed]. The CoC is a higher-order
typed lambda calculus...
- a
grammatical adjective In
mathematics and
logic something without impredicativity,
without a self-referencing
definition Predicative programming, a methodology...
-
axioms to be set bounded. The
latter is
motivated by
results tied to
impredicativity. The
logic of the set
theories discussed here is
constructive in that...
- In the
section before this he
objects strenuously to the
notion of
impredicativity as
defined by Poincaré (and soon to be
taken by Russell, too, in his...
- this
makes its
definition impredicative.
Kleene ****erts that
attempts to
argue this away can be used to
uphold the
impredicative definitions in the paradoxes...
- For this reason,
ordinal collapsing functions are
described as an
impredicative manner of
naming ordinals. The
details of the
definition of ordinal...
-
proposed both
intensional and
extensional variants of the
theory and
early impredicative versions,
shown to be
inconsistent by Girard's paradox, gave way to...
