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 …

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 …

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 …

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 …

Oct 31, 2017 · Hence a vector space is infinite dimensional iff it has a basis which is infinite. If your infinite dimensional space has an inner product and is complete with respect to the …

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 …

Dec 6, 2024 · Other comments suggesting that infinite formulas are in many cases equivalent to finite formulas in some sufficiently strong first-order theory and that infinitary proofs "don't do …

Aug 27, 2019 · And from that I got convinced that there are an infinite solutions to this equation. But Algebraically? I'm not able to prove that it has an infinite solutions algebraically. And my …

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 …

Find the infinite sum of the series ∑∞ n=1 1 n2+1 ∑ n = 1 ∞ 1 n 2 + 1 Ask Question Asked 11 years, 8 months ago Modified 2 years, 3 months ago