Last Updated：2025/12/07
Sentence
いくつかの初期の構成では、強制法の原型（構成可能性公理 V = L を満たすモデル M から出発し、部分順序集合の生成的部分集合 G を M に加えてゲーデルの構成可能階層を模倣しながら拡大モデル M[G] を構築する方法）が、構成可能なモデルを追加の組合せ的性質を満たすより大きなモデルに拡張するために用いられた。
Quizzes for review
In several early constructions, ramified forcing was used to extend the constructible model M into a larger model M[G] that satisfied additional combinatorial properties.
See correct answer
In several early constructions, ramified forcing was used to extend the constructible model M into a larger model M[G] that satisfied additional combinatorial properties.
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Related words
ramified forcing
Noun
uncountable
(set
theory)
The
original
form
of
forcing,
starting
with
a
model
M
of
set
theory
in
which
the
axiom
of
constructibility,
V
=
L,
holds,
and
then
building
up
a
larger
model
M[G]
of
Zermelo-Fraenkel
set
theory
by
adding
a
generic
subset
G
of
a
partially
ordered
set
to
M,
imitating
Kurt
Gödel's
constructible
hierarchy.
Japanese Meaning
集合論において、構成可能性公理 (V = L) が成立するモデル M を出発点とし、部分順序集合からの生成的部分集合 G を加えることで、Zermelo-Fraenkel集合論の拡大モデル M[G] を構築する手法。これは、Kurt Gödel の構成階層の考えに触発された、forcing の原初形態を指す。
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