In fact, let me make Indistinguishable’s Conjecture right now: Every irrational algebraic number is non-normal.
Grounds: Well, c’mon… If there were a counterexample, we’d have demonstrated it by now, right? 
[QUOTE=Indistinguishable]
… it is not enough to simply note that the rationals have smaller cardinality than the irrationals. This would be enough were one to assume [ Donald ] Martin’s Axiom …
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Gosh, I had no idea Mad magazine’s Don Martin dabbled in set theory. I guess the cartooning was just his day job?
BING CHIKA-CHUNK THWIZZIK ZAK TIKA TIKA TIKA TIKA … SKAPLUNCH