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 …

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 …

May 11, 2023 · Can you give me an example of infinite field of characteristic $p\\neq0$? Thanks.

Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 6 months ago Modified 4 years, 8 months ago

Sep 18, 2016 · Infinite non-cyclic groups do exists. An easy example is the abelian group $\mathbb {Z}_2\times\mathbb {Z_2}\times\dots$ because any element in it has order $2$.

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 …

A countably infinite sample space $\Omega$ is such that there exists a bijective function between $\Omega$ and $\mathbb {N}$, the natural numbers. A non-countable infinite sample space is …

Algebra - Infinite Dihedral Group Ask Question Asked 13 years ago Modified 12 years, 11 months ago

4 If "almost infinite" makes any sense in any context, it must mean "so large that the difference to infinity doesn't matter." One example where this could be meaningful is if you have parallel …

How would you concisely explain the concept of countably infinite to a student who isn't exposed to any set theory? I am having difficulty understanding what the concept of countably infinite is, …