Banach–Tarski paradox

theorem that there exists a decomposition of a unit solid ball into a finite number of disjoint subsets, which can be put back together in a different way to yield two identical copies of the unit sphere
rdfs:label
"Banach–Tarski paradox"@en
skos:altLabel
"Banach-Tarski paradox"@en
schema:description
"theorem that there exists a decomposition of a unit solid ball into a finite number of disjoint subsets, which can be put back together in a different way to yield two identical copies of the unit sphere"@en
schema:dateModified "2026-11-12T18:02:42+00:00"^^xsd:dateTime
schema:version 2568375551
wikibase:identifiers 14
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p:direct-normalized/P2163 <http://id.worldcat.org/fast/826394>
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wdt:P1318 Stefan Banach
Alfred Tarski
wdt:P13591 "concept/956032a8-42f9-4431-af2e-19e2973ee216"
wdt:P138 Stefan Banach
Alfred Tarski
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wdt:P31 theorem
wdt:P361 list of theorems
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