Ross-Littlewood paradox

英語（米国） (en-US) 英語（イギリス） (en-GB)

固有名詞

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?

日本語の意味

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。

英語の意味

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?

このボタンはなに？

The Ross-Littlewood paradox challenges our intuition about infinity when a vase receives ten balls and loses one at each of infinitely many steps.

ロス＝リトルウッドの逆説は、壺に10個の球を入れて1個を取り除くという操作を無限に繰り返すという無限に関する問題であり、私たちの直感を覆します。

詳細

意味（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?

the Ross-Littlewood paradox （ canonical ）