
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
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 …
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 …
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 …
Given an infinite number of monkeys and an infinite amount of time ...
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 …
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 …
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 …
Cardinality of an infinite tree paths - Mathematics Stack Exchange
Jan 1, 2021 · Does the cardinality of the set of all infinite paths in this tree depend on the growth rate of the nodes by levels? I mean, if the nodes do not branch at all, then the path is 1. If the notes add a …
discrete mathematics - Is this Perfect Binary Tree Countably Infinite ...
Feb 9, 2021 · From that fixed level the tree also extends to infinite height. Are the nodes of this tree countably infinite or uncountably infinite? I know that a rooted binary tree, even if extended to a …
convergence divergence - Does the infinite series $1/ (n+1)$ diverge ...
Dec 27, 2019 · Does the infinite series $1/ (n+1)$ diverge? Ask Question Asked 8 years, 7 months ago Modified 5 years, 11 months ago