Last Updated
：2025/11/29
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。
Sense（1）
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.
Quizzes for review
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.
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See correct answer
Richard's paradox
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.
See correct answer
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.
音声機能が動作しない場合はこちらをご確認ください
English - English
Word Edit Setting
- Users who have edit permission for words - All Users
- Screen new word creation
- Screen word edits
- Screen word deletion
- Screen the creation of new headword that may be duplicates
- Screen changing entry name
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
Sentence Edit Setting
- Users who have edit permission for sentences - All Users
- Screen sentence deletion
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
Quiz Edit Setting
- Users who have edit permission for quizzes - All Users
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
