Last Updated：2022/12/24
Gödel's model is an example of a simple type of inner model that might be called a definable transitive inner model³), where the universe is replaced by a transitive subuniverse defined within ZF, the membership relation is just the original one restricted to the subuniverse, and where the axioms of ZF relativized to the subuniverse, are provable within ZF.
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Gödel's
model
is
an
example
of
a
simple
type
of
inner
model
that
might
be
called
a
definable
transitive
inner
model³),
where
the
universe
is
replaced
by
a
transitive
subuniverse
defined
within
ZF,
the
membership
relation
is
just
the
original
one
restricted
to
the
subuniverse,
and
where
the
axioms
of
ZF
relativized
to
the
subuniverse,
are
provable
within
ZF.
