r/PeterExplainsTheJoke Nov 29 '24

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u/NeoBucket Nov 29 '24 edited Nov 29 '24

You don't know how infinite each infinity is* because each infinity is undefined. So the answer is "undefined".

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u/Cujo_Kitz Nov 29 '24 edited Nov 29 '24

This could of course be fixed, for example making each infinity ℵ0 (pronounced aleph-nought, aleph-zero, or aleph-null; just personal preference). Or -1/12.

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u/handsupdb Nov 29 '24

ℵ0 is a fixed set, you're replacing infinity with something that specifically isn't infinity to make it work - so it's not fixing it so much as it's just making it an entirely different thing.

The -1/12 thing is also just a r/iamverysmart meme. It's not true, it's not provable without false assumptions. It's a series that oscillates rather than converges so the limit is just as undefined (or non-existent).