検索結果- 英語 - 英語
検索内容:
Richard's paradox
name
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.
Easterlin paradox
name
liar paradox
noun
Curry's paradox
name
Galileo's paradox
name
(set
theory)
A
demonstration
of
a
surprising
property
of
infinite
sets.
Some
positive
integers
are
squares
while
others
are
not;
therefore,
all
the
numbers,
including
both
squares
and
non-squares,
must
be
more
numerous
than
just
the
squares;
yet
for
every
square
there
is
exactly
one
positive
number
that
is
its
square
root,
and
for
every
number
there
is
exactly
one
square;
hence,
there
cannot
be
more
of
one
than
of
the
other.
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