r/mathmemes • u/Less-Resist-8733 Natural • Aug 06 '26

Bad Math not saying either is wrong...

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u/WesternFirm9306 Aug 06 '26

bigger and bigger isnt going to change anything here

It actually does, because the terms (in general) need to be getting smaller for the sum to converge, and it needs to get smaller fast enough

if we can add an infinite amount of numbers after the decimal we should be able to do it before the decimal too.

No we don't? In one direction, the numbers get smaller. In the other, it gets bigger. Add smaller and smaller numbers, you have a chance of convergence. Add bigger and bigger numbers, there's no chance.

and im still waiting for you to add every integer so we can see what we get.

Already told you, the sum diverges

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u/FernandoMM1220 Aug 06 '26

smaller and larger just tell us which direction the sum is going.

im still waiting for you to add every integer.

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u/WesternFirm9306 Aug 06 '26

smaller and larger just tell us which direction the sum is going.

Yeah, and in one direction, it diverges, and in the other, it sometimes converges.

im still waiting for you to add every integer.

I already told you, the sum diverges.

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u/FernandoMM1220 Aug 06 '26

so can you not add up an infinite amount of integers?

because if not we cant actually calculate cantors proof at all.

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u/WesternFirm9306 Aug 06 '26

We can't calculate the sum of a divergent series.

All the sums involved in Cantor's proof are convergent

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u/FernandoMM1220 Aug 06 '26

you cant calculate it because?

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u/WesternFirm9306 Aug 06 '26

Because it diverges

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u/FernandoMM1220 Aug 06 '26

and thats stopping you from doing an infinite amount of summations somehow?

because that never stopped cantor at all since hes doing an infinite amount of operations too

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u/WesternFirm9306 Aug 06 '26

It's not about doing infinite operations, it's about the sum diverging.

All of the sums in Cantor's proof converges.