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GregBuchholz
on April 28, 2016
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On the (Small) Number of Atoms in the Universe
You could always be a intuitionist/constructivist, and enjoy "choice" as a theorem. It seems completely reasonable to give up uncountable infinities.
http://arxiv.org/abs/math/0404335
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Search:
http://arxiv.org/abs/math/0404335