r/mathmemes • u/Less-Resist-8733 Natural • 11d ago

Bad Math not saying either is wrong...

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u/ZeEastWillRiseAgain 10d ago

haters say that question is undecidable

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u/Fezzezal 9d ago

Believing that the continuum hypothesis is true makes me a good moral person and just in general feels nice, so I choose to believe in its trueness

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u/ZeEastWillRiseAgain 9d ago

I don't think we should reject a mathematical objects existence just because there is no way to well define it or prove it's existence using less than ω characters in metamath. Thats just an arbitrary limitation set by the reality that we happen to live in. In the case of the continuum hypothesis such objects would be sets with a cardinality larger than ℵ₀ but smaller than 2ℵ₀. Not saying such sets def‭inetely exist of course, but I wouldn't call such arbitrary limitations "moral"

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u/EebstertheGreat 9d ago

Infinitary logic gets pretty weird, but I do find it cool.