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 …

Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 7 months ago Modified 4 years, 10 months ago

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 …

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 …

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 …

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 …

Dec 1, 2010 · Can you partition an infinite set, into an infinite number of infinite sets?

So by contradiction, infinite $0-1$ strings are uncountable. Can I use the fact that $\ {0,1\}$ is a subset of any sequence of countable sets $\ {E_n\}_ {n\in\mathbb {N}}$ and say the infinite …

Mar 28, 2023 · Imagine a sphere outline in an infinite void. If the area within the sphere outline is empty space, and the space outside is solid, it is a 3D shape of infinite volume, and since it …

Suppose every $ p\in K $ has an open nbhd $ U_p $ such that $ E\cap U_p $ is finite. Then $ C=\ {U_p: p\in K\} $ is an open cover of $ K $ but any finite $ D\subset C $ covers only a finite …