GUT and P=NP

[Mike McNally]

nzook at fireant.ma.utexas.edu writes:
 > Let f be a function from the integers to [0,1].  Note that the
 > Turing tape has precisely one space for each integer, so this
 > function cooresponds to your idea.

Can you (without being an asshole) explain why exactly each tape
position may contain only a simple integer?  It's perfectly reasonable
to define the tape alphabet to be an arbitrary set; can the set not
be uncountably infinite?  If not, why not?

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