... an art, architecture, music and mathematics blog.
Thursday, 22 June 2017
Irrational ^ Irrational
I came upon this very clever but simple proof recently ...
It is not known which
. But it can be easily proved that such rational
exists. We know that
is irrational. Take, for instance, the number
which must either be rational or irrational. If it is rational, then we're done. If it is not, then the number
must be rational. So either case proves the existence of rational
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