Replacing one paradox with another

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Joseph Malkevitch
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Replacing one paradox with another

Postby Joseph Malkevitch » Sun Oct 22, 2017 6:50 pm

Dear Colleagues,

The Banach-Tarski Paradox, which suggests that the usual foundations of mathematics allow one to decompose a solid ball into parts and reassemble the parts into two solid balls congruent to the original, can be dealt with in a way that resolves this paradox but as the article below shows creates a new paradox in its place.

http://stanwagon.com/public/TheDivision ... rWagon.pdf

The article is somewhat technical but raises though provoking concerns about the foundations of mathematics that we are familiar with.

Regards,

Joe
Joseph Malkevitch
Department of Mathematics
York College (CUNY)
Jamaica, New York 11451

email:

malkevitch@york.cuny.edu

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http://york.cuny.edu/~malk

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