Word.ws English Dictionary

Banach-Tarski paradox

Banach-Tarski paradox proper noun: 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.

Proper noun

Banach-Tarski paradox

  1. 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.

Origin of Banach-Tarski paradox

Named after Polish mathematicians Stefan Banach and Alfred Tarski.

Questions about Banach-Tarski paradox

What does Banach-Tarski paradox mean?
Banach-Tarski paradox means 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.
What part of speech is Banach-Tarski paradox?
Banach-Tarski paradox is a proper noun.

Words near Banach-Tarski paradox in the dictionary

  1. Banach
  2. Banach algebra
  3. Banach algebras
  4. Banach space
  5. Banach spaces
  6. Banach-Tarski paradox
  7. Banaches
  8. Banachian
  9. Banadero
  10. Banagher
  11. banaha

Source and license

Adapted from Wiktionary: Banach-Tarski paradox (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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