Last Updated：2025/11/29
Sentence
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Richard's paradox shows that even if we list every English phrase that unambiguously defines a real number, a diagonal-style construction can produce another such phrase not on the list.
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Richard's paradox shows that even if we list every English phrase that unambiguously defines a real number, a diagonal-style construction can produce another such phrase not on the list.
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Related words
Richard's paradox
Proper noun
The
paradox
where,
given
the
observation
that
certain
English
phrases
unambiguously
define
real
numbers
while
others
do
not,
there
is
an
infinitely
long
list
of
English
phrases
that
unambiguously
define
real
numbers,
yet
(using
a
similar
technique
to
Cantor's
diagonal
argument)
it
is
possible
to
generate
another
such
phrase
not
in
the
list.
Japanese Meaning
リチャードの逆説は、ある英語のフレーズが曖昧さなく実数を定義できるのに対して、他のフレーズはそうではないという観察に基づく逆説です。具体的には、明確に実数を定義する英語のフレーズが無限に存在するにもかかわらず、カントールの対角線論法に類似した手法を用いると、そのリストに含まれない新たなフレーズを生成できる、という点が示されています。
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