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 …

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 …

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 …

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

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

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 $2$.

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, …

I'm attempting to list examples of infinite boolean rings and I need some clarification. Firstly, is it possible to take an infinite direct product of the integers mod $2$ to get a boolean ring? ...

The interpretation of this is then that whenever the series $\sum_ {k=0}^ {\infty} k$ arises as a result of computing some well-defined quantity using a method that then generates this infinite …