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RE: Stefan Banach — The Prince of Polish mathematicians

in #steemstem • 7 years ago

So the singularity of the Banach-Tarski paradox lies in not concerning scaling transformation. And despite of this it is possible to get such paradoxical duplication of figures because of considering 1-dimensional or non-measurable parts which are not subject for scaling operations. Something like that? :)

7 years ago in #steemstem by
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     7 years ago (edited)

    Yup that is pretty much it. In addition, Banach-Tarski specifies explictely what type of transformations you are allowed to use to construct the two spheres.

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