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411 REFERENCE · Wiktionary

Banach-Tarski paradox

Reference material by Wiktionary contributors. This retains its source identity and is not 411 news reporting.

English Etymology Named after Polish mathematicians Stefan Banach and Alfred Tarski. Proper noun en mathematics A theorem in set-theoretic geometry, which states that given a solid ball in three‑dimensional space, there exists a decomposition of the ball into a finite number of disjoint subsets, which can then be put back together in a different way to yield two identical copies of the original ball. Translations French: fr paradoxe de Banach-Tarski m German: de Banach-Tarski-Paradoxon n Hungarian: hu Banach–Tarski-paradoxon Italian: it paradosso di Banach-Tarski m Polish: pl paradoks Banacha-Tarskiego m-in en eponyms en Group theory Set theory