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  1. What exactly is infinity? - Mathematics Stack Exchange

    Definition: Infinity refers to something without any limit, and is a concept relevant in a number of fields, predominantly mathematics and physics. The English word infinity derives from Latin infinitas, which …

  2. What is infinity divided by infinity? - Mathematics Stack Exchange

    Aug 11, 2012 · I know that $\infty/\infty$ is not generally defined. However, if we have 2 equal infinities divided by each other, would it be 1? if we have an infinity divided by another half-as-big infinity, for

  3. Can I subtract infinity from infinity? - Mathematics Stack Exchange

    Apr 28, 2016 · Can this interpretation ("subtract one infinity from another infinite quantity, that is twice large as the previous infinity") help us with things like limn→∞(1 + x/n)n, lim n → ∞ (1 + x / n) n, or is …

  4. Types of infinity - Mathematics Stack Exchange

    Oct 28, 2015 · I understand that there are different types of infinity: one can (even intuitively) understand that the infinity of the reals is different from the infinity of the natural numbers. Or that the infi...

  5. definition - Is infinity a number? - Mathematics Stack Exchange

    For infinity, that doesn't work; under any reasonable interpretation, 1 + ∞ = 2 + ∞ 1 + ∞ = 2 + ∞, but 1 ≠ 2 1 ≠ 2. So while for some purposes it is useful to treat infinity as if it were a number, it is important to …

  6. One divided by Infinity? - Mathematics Stack Exchange

    Similarly, the reals and the complex numbers each exclude infinity, so arithmetic isn't defined for it. You can extend those sets to include infinity - but then you have to extend the definition of the arithmetic …

  7. limits - Infinity divided by infinity - Mathematics Stack Exchange

    Dec 25, 2017 · In the process of investigating a limit, we know that both the numerator and denominator are going to infinity.. but we dont know the behaviour of each dynamics.

  8. Is 1 + infinity > infinity? - Mathematics Stack Exchange

    Dec 13, 2021 · But I can't disprove their points. My argument is that if $1 + \infty > \infty$ then there exists a number greater than $\infty$, disproving the concept of infinity, because you can't simply add …

  9. What is imaginary infinity, - Mathematics Stack Exchange

    May 14, 2017 · The infinity can somehow branch in a peculiar way, but I will not go any deeper here. This is just to show that you can consider far more exotic infinities if you want to. Let us then turn to …

  10. soft question - Why is $\infty \cdot 0$ not clearly equal to $0 ...

    Mar 25, 2011 · (i.e add 0 0 to 0 0 as many times as you like, result is 0 0) So I thought an infinite number of 0 0 's cannot be anything but 0 0? But someone claims different but couldn't offer a reasonable …