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  1. Uncountable vs Countable Infinity - Mathematics Stack Exchange

    My friend and I were discussing infinity and stuff about it and ran into some disagreements regarding countable and uncountable infinity. As far as I understand, the list of all natural …

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

    24 Aib 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 …

  3. Finding a basis of an infinite-dimensional vector space?

    For many infinite-dimensional vector spaces of interest we don't care about describing a basis anyway; they often come with a topology and we can therefore get a lot out of studying dense …

  4. set theory - Hilbert's Grand Hotel is always hosting the same …

    13 Lún 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 …

  5. 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

  6. linear algebra - Definition of Infinite Dimensional Vector Space ...

    24 MFómh 2020 · In the text i am referring for Linear Algebra , following definition for Infinite dimensional vector space is given . The Vector Space V(F) is said to be infinite dimensional …

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

    3 Noll 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 …

  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 …

  9. general topology - Why is the infinite sphere contractible ...

    Why is the infinite sphere contractible? I know a proof from Hatcher p. 88, but I don't understand how this is possible. I really understand the statement and the proof, but in my imagination this...

  10. calculus - Infinite Geometric Series Formula Derivation

    Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 7 months ago Modified 4 years, 9 months ago