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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 …

  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 …

  3. 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 …

  4. Types of infinity - Mathematics Stack Exchange

    Dec 18, 2012 · 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 …

  5. geometry - Do parallel lines "appear" to meet at infinity ...

    Jan 7, 2025 · The effect that two parallel lines appear to intersect "at infinity" is a real effect that can be precisely described mathematically. However, the effect is only visible if we embed the …

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

    For infinity, that doesn't work; under any reasonable interpretation, $1+\infty=2+\infty$, but $1\ne2$. So while for some purposes it is useful to treat infinity as if it were a number, it is …

  7. limits - 1 to the power of infinity, why is it indeterminate ...

    1 to the power of infinity, why is it indeterminate? [duplicate] Ask Question Asked 12 years, 11 months ago Modified 7 years, 10 months ago

  8. What is the square root of infinity and what is infinity^2?

    Nov 13, 2016 · Thus both the "square root of infinity" and "square of infinity" make sense when infinity is interpreted as a hyperreal number. An example of an infinite number in $ {}^\ast …

  9. infinity - Are all infinities equal? - Mathematics Stack Exchange

    A friend of mine was trying to explain to me how all infinities are equal. For example, they were saying that there are the same amount of numbers between $0$–$1$ as there are between …

  10. Why is $\\infty \\cdot 0$ not clearly equal to $0$?

    Mar 25, 2011 · You never get to the infinity by repeating this process. Limit means that you approach the infinity but never actually get to it because it's not a number and cannot be …