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
What exactly is infinity? - Mathematics Stack Exchange
The infinite manifold of two or three dimensions, the mathematical beings which depend on a number of variables greater even than three, any number in fact, still have no greater power than the linear …
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 subspaces, …
probability - Given an infinite number of monkeys and an infinite ...
Jan 12, 2011 · Just get an infinite number of monkeys (or a slightly smaller number of computers) and opening a publishing business. Make a million bucks and retire. But this rings false, especially since …
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 …
What is the difference between "infinite" and "transfinite"?
Jun 6, 2020 · Infinite simply means "not finite", both in the colloquial sense and in the technical sense (where we first define the term "finite"). There is no technical definition that I am aware of for …
definition - Is infinity a number? - Mathematics Stack Exchange
4 Infinity is not a number, but some things that can reasonably be called numbers are infinite. This includes cardinal and ordinal numbers of set theory and infinite non-standard real numbers, and …
Infinite group has infinitely many subgroups, namely cyclic subgroups.
Dec 1, 2017 · The proof given is correct, and I'm suggesting an alternative only for the sake of style/clarity (which is more subjective than correctness). The point in the OP's proof where a detailed …
How was Zeno's paradox solved using the limits of infinite series?
You could just as easily argue that the sum of the distance is infinite so the distance will be infinitely far away. Both statements are paradoxes. But the concept of the limit of an infinite series being finite …
I have learned that 1/0 is infinity, why isn't it minus infinity?
An infinite number? Kind of, because I can keep going around infinitely. However, I never actually give away that sweet. This is why people say that 1 / 0 "tends to" infinity - we can't really use infinity as a …