Last Updated：2025/12/07
A hypothetical problem dealing with the notion of infinity. Given an empty vase and an infinite supply of balls, an infinite number of steps are performed, such that at each step 10 balls are added to the vase and one ball removed from it. The question is then posed: how many balls are in the vase when the task is finished?
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Ross-Littlewood paradox
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Source Word
Ross-Littlewood paradox
Proper noun
A
hypothetical
problem
dealing
with
the
notion
of
infinity.
Given
an
empty
vase
and
an
infinite
supply
of
balls,
an
infinite
number
of
steps
are
performed,
such
that
at
each
step
10
balls
are
added
to
the
vase
and
one
ball
removed
from
it.
The
question
is
then
posed:
how
many
balls
are
in
the
vase
when
the
task
is
finished?
Japanese Meaning
無限の概念を取り扱う仮想的な問題。空の花瓶に無限に球が与えられ、各ステップで10個の球を加え1個を取り除く操作を無限に行った場合、最終的に花瓶に残る球の個数を問うパラドックス。
Sense（1）
A
hypothetical
problem
dealing
with
the
notion
of
infinity.
Given
an
empty
vase
and
an
infinite
supply
of
balls,
an
infinite
number
of
steps
are
performed,
such
that
at
each
step
10
balls
are
added
to
the
vase
and
one
ball
removed
from
it.
The
question
is
then
posed:
how
many
balls
are
in
the
vase
when
the
task
is
finished?
（ canonical ）
