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0 pointsmafuy8mo ago0 comments

Yes. Prominent example is the axiom of choice. There was a LOT of discussion about it by mathematicians. https://plato.stanford.edu/entries/axiom-choice/

For instance, with it, you can double the volume of a body by looking at it from a weird angle.

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SetTheorist8mo ago

That's a very misleading description of Banach-Tarski. You need to break up the body into a few (very weird) pieces and maneuver them (via only rigid motions - rotations and translations).

j / k navigate · click thread line to collapse

0 pointsmafuy8mo ago0 comments

Yes. Prominent example is the axiom of choice. There was a LOT of discussion about it by mathematicians. https://plato.stanford.edu/entries/axiom-choice/

For instance, with it, you can double the volume of a body by looking at it from a weird angle.

0 comments

SetTheorist8mo ago

That's a very misleading description of Banach-Tarski. You need to break up the body into a few (very weird) pieces and maneuver them (via only rigid motions - rotations and translations).

j / k navigate · click thread line to collapse