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  1. 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

  2. Infinite monkey theorem and numbers - Mathematics Stack Exchange

    Mar 15, 2021 · I had a discussion with a friend about the monkey infinite theorem, the theorem says that a monkey typing randomly on a keyboard will almost surely produce any given books (here let's say …

  3. infinity - What is the definition of an infinite sequence ...

    May 12, 2024 · Except for $0$ every element in this sequence has both a next and previous element. However, we have an infinite amount of elements between $0$ and $\omega$, which makes it …

  4. elementary set theory - What is the definition for an infinite set ...

    Dec 3, 2020 · However, while Dedekind-infinite implies your notion even without the Axiom of Choice, your definition does not imply Dedekind-infinite if we do not have the Axiom of Choice at hand: your …

  5. Proof of infinite monkey theorem. - Mathematics Stack Exchange

    Apr 24, 2015 · The infinite monkey theorem states that if you have an infinite number of monkeys each hitting keys at random on typewriter keyboards then, with probability 1, one of them will type the …

  6. calculus - Infinite Geometric Series Formula Derivation - Mathematics ...

    Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 7 months ago Modified 4 years, 10 months ago

  7. elementary set theory - What do finite, infinite, countable, not ...

    What do finite, infinite, countable, not countable, countably infinite mean? [duplicate] Ask Question Asked 13 years, 3 months ago Modified 13 years, 3 months ago

  8. One divided by Infinity? - Mathematics Stack Exchange

    Infinite decimals are introduced very loosely in secondary education and the subtleties are not always fully grasped until arriving at university. By the way, there is a group of very strict Mathematicians …

  9. prove: ℕ is countably infinite - Mathematics Stack Exchange

    May 1, 2016 · Please, I need someone to help me to prove this theorem ℕ is countably infinite. I know how can I prove it when the set define by something, but I'm confused and don't know how do this. …

  10. How can Cyclic groups be infinite - Mathematics Stack Exchange

    Oct 4, 2020 · I am a little confused about how a cyclic group can be infinite. To provide an example, look at $\\langle 1\\rangle$ under the binary operation of addition. You can never make any negative …