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[–] 10 points 2 years ago (6 children)

Yep. ∞ is infinitely big in the same way that 0 is infinitely small. -0 = 0 and -∞ = ∞. Opposite ends of the circle. (Or the Riemann sphere if you like complex numbers.)

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  • [–] 7 points 2 years ago* (5 children)

    While this Riemann sphere seems like a useful concept, -∞ = ∞ is an observation that doesn't seem to hold true outside this spherical model of complex numbers. Just add ∞ to the both sides, and you end up with 0 = ∞ + ∞ which is most certainly not true.

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  • [–] 4 points 2 years ago (1 child)

    0 = ∞ + ∞ which is most certainly not true.

    This is only true if both infinite are the same, but one is negative. As a general statement you're right, that this is not true.

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