Speakur

Word Pronunciation & Dictionary

banach-tarski paradox

Word Rarity Very rare

Frequency: Zipf frequency 1.76 in modern English

Syllables
ba-nach--tarski -para-dox
IPA
40
Scrabble Score
19
Letters
6
Syllables
14
Unique Chars

Meaning

name

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.

Etymology

Named after Polish mathematicians Stefan Banach and Alfred Tarski.

Questions

What does banach-tarski paradox mean?
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.
Where does banach-tarski paradox come from?
Named after Polish mathematicians Stefan Banach and Alfred Tarski.

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