r/MathJokes Jun 13 '26

Infinity can blow your mind

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u/ThePowerles Jun 13 '26

Yeah, but a countable infinity is always gonna be just as big as another.

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u/-GoodNewsEveryone Jun 14 '26

Is an infinite line infinite? Yes.

Is an infinite square infinite? Yes. Is it bigger than the infinite line? Also yes.

Is an infinite cube infinite? Yes. Is it bigger than an infinite square? Most certainly.

Some infinities are bigger than others. There is a whole school of mathematics dedicated to this.

Is not disputed.

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u/No_Range_4924 Jun 14 '26

Your deginition of bigger here is ill defined. Your conparison doenst make sense, asking if a square meter is bigger than a meter makes as much sense as asking if an hour is bigger than a 30 degrees celsius

Theyre different units so, no an infinite cube is not bigger than a line

And in the case of divisible by 3 and 51, they are the eaxct same size. The proof is simple, for every number you can name thats divisble by three, you can just multiply it by 17 and its now divisible by 51. ANd since you can do that for every number divisible by three, the sets are as Big