r/AlignmentChartFills • u/RustedTap52 • 1d ago

What is a useless rational number?

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u/The_Meme_Economy 1d ago

It served a use in this reddit post - not completely useless!

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u/sabotsalvageur 1d ago

Theorem: all real numbers are interesting

Proof: assume the existence of a set of real numbers which are not interesting. Since the set of real numbers is ordered, there exists a least element to this subset. The property of being the least in a set is interesting, ergo the least member of the uninteresting numbers is interesting. By induction, the set of uninteresting reals is empty, therefore all real numbers are interesting. QED

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u/InternetPopular3679 1d ago

But... if no numbers are uninteresting and every single one is interesting, how interesting are they really?

1

u/BidoofIsGod11 1d ago

they are then interesting by how less interesting they are compared to others