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- Ross–Littlewood_paradox abstract "The Ross–Littlewood paradox (also known as the balls and vase problem or the ping pong ball problem) is a hypothetical problem in abstract mathematics and logic designed to illustrate the seemingly paradoxical, or at least non-intuitive, nature of infinity. More specifically, like the Thomson's lamp paradox, the Ross–Littlewood paradox tries to illustrate the conceptual difficulties with the notion of a supertask, in which an infinite number of tasks are completed sequentially. The problem was originally described by mathematician John E. Littlewood in his 1953 book Littlewood's Miscellany, and was later expanded upon by Sheldon Ross in his 1988 book A First Course in Probability.The problem starts with an empty vase and an infinite supply of balls. An infinite number of steps are then performed, such that at each step balls are added as well as removed from the vase. The question is then posed: How many balls are in the vase when the task is finished?To complete an infinite number of steps, it is assumed that the vase is empty at one minute before noon, and that the following steps are performed: The first step is performed at 30 seconds before noon. The second step is performed at 15 seconds before noon. Each subsequent step is performed in half the time of the previous step, i.e., step n is performed at 2−n minutes before noon.This guarantees that a countably infinite number of steps is performed by noon. Since each subsequent step takes half as much time as the previous step, an infinite number of steps is performed by the time one minute has passed. At each step, ten balls are added to the vase, and one ball is removed from the vase. The question is then: How many balls are in the vase at noon?".
- Ross–Littlewood_paradox thumbnail Ross-littlewood-graph.png?width=300.
- Ross–Littlewood_paradox wikiPageID "7823769".
- Ross–Littlewood_paradox wikiPageLength "7998".
- Ross–Littlewood_paradox wikiPageOutDegree "26".
- Ross–Littlewood_paradox wikiPageRevisionID "695375496".
- Ross–Littlewood_paradox wikiPageWikiLink A_Mathematicians_Miscellany.
- Ross–Littlewood_paradox wikiPageWikiLink Béla_Bollobás.
- Ross–Littlewood_paradox wikiPageWikiLink Category:Paradoxes_of_infinity.
- Ross–Littlewood_paradox wikiPageWikiLink Category:Supertasks.
- Ross–Littlewood_paradox wikiPageWikiLink Countable_set.
- Ross–Littlewood_paradox wikiPageWikiLink Hilberts_paradox_of_the_Grand_Hotel.
- Ross–Littlewood_paradox wikiPageWikiLink Infinity.
- Ross–Littlewood_paradox wikiPageWikiLink Intuition.
- Ross–Littlewood_paradox wikiPageWikiLink Jean_Paul_Van_Bendegem.
- Ross–Littlewood_paradox wikiPageWikiLink Jim_Henle.
- Ross–Littlewood_paradox wikiPageWikiLink John_Edensor_Littlewood.
- Ross–Littlewood_paradox wikiPageWikiLink Limit_superior_and_limit_inferior.
- Ross–Littlewood_paradox wikiPageWikiLink Mathematical_logic.
- Ross–Littlewood_paradox wikiPageWikiLink Paradox.
- Ross–Littlewood_paradox wikiPageWikiLink Paul_Benacerraf.
- Ross–Littlewood_paradox wikiPageWikiLink Pure_mathematics.
- Ross–Littlewood_paradox wikiPageWikiLink Sheldon_Ross.
- Ross–Littlewood_paradox wikiPageWikiLink Supertask.
- Ross–Littlewood_paradox wikiPageWikiLink Thomsons_lamp.
- Ross–Littlewood_paradox wikiPageWikiLink Tom_Tymoczko.
- Ross–Littlewood_paradox wikiPageWikiLink Victor_Allis.
- Ross–Littlewood_paradox wikiPageWikiLink Zenos_paradoxes.
- Ross–Littlewood_paradox wikiPageWikiLink File:Ross-littlewood-graph.png.
- Ross–Littlewood_paradox wikiPageWikiLinkText "Ross–Littlewood paradox".
- Ross–Littlewood_paradox wikiPageUsesTemplate Template:Cite_web.
- Ross–Littlewood_paradox wikiPageUsesTemplate Template:Inline.
- Ross–Littlewood_paradox wikiPageUsesTemplate Template:Sup.
- Ross–Littlewood_paradox subject Category:Paradoxes_of_infinity.
- Ross–Littlewood_paradox subject Category:Supertasks.
- Ross–Littlewood_paradox hypernym Problem.
- Ross–Littlewood_paradox type Disease.
- Ross–Littlewood_paradox type Concept.
- Ross–Littlewood_paradox type Redirect.
- Ross–Littlewood_paradox comment "The Ross–Littlewood paradox (also known as the balls and vase problem or the ping pong ball problem) is a hypothetical problem in abstract mathematics and logic designed to illustrate the seemingly paradoxical, or at least non-intuitive, nature of infinity. More specifically, like the Thomson's lamp paradox, the Ross–Littlewood paradox tries to illustrate the conceptual difficulties with the notion of a supertask, in which an infinite number of tasks are completed sequentially.".
- Ross–Littlewood_paradox label "Ross–Littlewood paradox".
- Ross–Littlewood_paradox sameAs Q7369949.
- Ross–Littlewood_paradox sameAs m.026dvzz.
- Ross–Littlewood_paradox sameAs Q7369949.
- Ross–Littlewood_paradox wasDerivedFrom Ross–Littlewood_paradox?oldid=695375496.
- Ross–Littlewood_paradox depiction Ross-littlewood-graph.png.
- Ross–Littlewood_paradox isPrimaryTopicOf Ross–Littlewood_paradox.