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 …

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 …

Jan 12, 2011 · I doubt an infinite number of monkeys could even put together a full page full of nonsense but reasonable-length words with punctuation. You could ask the same question about spiders. Put …

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 subspaces, …

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 …

Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 8 months ago Modified 4 years, 11 months ago

Dec 6, 2019 · Isn’t the system required to have atleast a unique solution before having infinite solutions? 2) is it necessary , for such a system to have infinite solutions , that the determinant of the coefficient …

Aug 20, 2015 · As a matter of fact, the statement "every infinite set has a countably infinite subset" is not provable in ZF alone (!), so this isn't something you can avoid. There are lots of questions on this site …

A set X is countably infinite if there exists a bijection between X and $\mathbb {Z}$. To prove a set is countably infinite, you only need to show that this definition is satisfied, i.e. you need to show there is …

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 …