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  1. 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 …

  2. 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

  3. 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

  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. 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 …

  6. One divided by Infinity? - Mathematics Stack Exchange

    Jul 15, 2015 · 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 …

  7. If $S$ is an infinite $\sigma$ algebra on $X$ then $S$ is not countable

    6 Show that if a $\sigma$-algebra is infinite, that it contains a countably infinite collection of disjoint subsets. An immediate consequence is that the $\sigma$-algebra is uncountable.

  8. set theory - Hilbert's Grand Hotel is always hosting the same infinite ...

    Aug 13, 2023 · From an excellent answer here, I gather that 1. is taken to mean that the hotel is hosting an infinite set of guests and that 2. means things have changed, we now have to reassign every …

  9. How can I define $e^x$ as the value of infinite series?

    Are you familiar with Taylor series? Series solutions of differential equations at regular points? From what foundation/background are you approaching this problem?

  10. A single-sided infinite surface, does that exist? [closed]

    3 days ago · On the other hand, a Möbius ring is not infinite: it has a boundary you can't cross. Does it exist: an infinite single-sided surface and if not, how can you prove such a thing?