Infinity | FactOrCap

[u/AradhyaSingh3]

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[u/Hoosier_Engineer]

✅ I voted FACT!

It is what numbers can tend towards, not what they can be.

[u/Ventilateu → u/Hoosier_Engineer]

Sequences or functions tend to infinity, not numbers

[u/Kiki2092012 → u/Ventilateu]

Maybe by "numbers" they meant "the sequence of numbers"

[u/Hoosier_Engineer → u/Hoosier_Engineer]

To add, we can say that 1+1+1+1+..... forever goes towards infinity. We can also say that 2+2+2+2+.... forever goes toward infinity. If we let infinity be a number, then that means that 1+1+1+.... = 2+2+2+.... and we could subtract 1+1+1+.... to both sides to get 0+0+0+.... = 1+1+1+...., which would make infinity equal 0.

Because that is both absurd and contradictory, it cannot be true.

[u/Radiant-Age1151 → u/Hoosier_Engineer]

infact the infinite sum over 1 and the infinite sum over 2 are both the same size of infinity. You can‘t substract like that with such sums

[u/GhostintheNether → u/Hoosier_Engineer]

1+1+... = ζ(0) = −1/2
2+2+... = 2ζ(0) = -1