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  1. Uncountable vs Countable Infinity - Mathematics Stack Exchange

    Nov 5, 2015 · 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 …

  2. Does infinite equal infinite? - Mathematics Stack Exchange

    All three integrals are divergent and infinite and have the regularized value zero, but two of them are equal but not equal to the third one. In other cases of divergent integrals or series, the …

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

    Sep 24, 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 …

  4. Infinite monkey theorem and numbers - Mathematics Stack …

    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 …

  5. 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...

  6. Infinite class of closed sets whose union is not closed

    Aug 4, 2016 · 0 Since singletons in R are closed in usual topology. We can think about infinite class of singletons {x} where x belongs to (0,1] then there union will be (0,1] which is not …

  7. 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 …

  8. 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, 2 months ago Modified 13 years, 2 months ago

  9. real analysis - Meaning of Infinite Union/Intersection of sets ...

    Meaning of Infinite Union/Intersection of sets Ask Question Asked 8 years, 7 months ago Modified 4 years, 1 month ago

  10. 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 …