Banach-Tarski

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(The so-called Banach-Tarski geometrical paradox is related to Paul Curry's geometrical paradox.)

Curry's Paradox Beall, JC 2008
Among logicians and mathematicians he is in addition famous for his work on set theory, model theory and algebra, which includes results and developments such as the Banach-Tarski paradox, the theorem on the indefinability of truth (see section 2 below), the completeness and decidability of elementary algebra and geometry, and the notions of cardinal, ordinal, relation and cylindric algebras.

Alfred Tarski Gómez-Torrente, Mario 2006
Banach-Tarski paradox: Cut a ball into 5 pieces, re-assemble the pieces to get two balls, both of equal size to the first.

Recently Uploaded Slideshows ANEEK 2010
Banach-Tarski isn't absurd; it's just counterintuitive.

Conservapedia - Recent changes [en] Aschlafly 2010
The green object is a box undergoing a dual transformation by Dorman Luke construction while in Banach-Tarski space.

thing-a-day 2010 2010
¦: if the axiom of choice were false, the cardinals wouldn't be linearly ordered, the Banach-Tarski theorem would fail and so forth.

Impossible Worlds Berto, Francesco 2009