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

Feb 4, 2023 · In some of these infinite-dimensional vector spaces, when they're normed, there may be Schauder Bases , where we have infinite sums, which require a notion of convergence.

Dec 18, 2012 · Not only infinite - it's "so big" that there is no infinite set so large as the collection of all types of infinity (in Set Theoretic terms, the collection of all types of infinity is a class, not a set). You …

Apr 15, 2022 · Why is it that when there are fewer equations than unknowns we have infinite solutions in a system of linear equations? [closed] Ask Question Asked 3 years, 10 months ago Modified 3 years, …

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 …

Oct 4, 2020 · I am a little confused about how a cyclic group can be infinite. To provide an example, look at $\\langle 1\\rangle$ under the binary operation of addition. You can never make any negative …

Jul 13, 2024 · This was initially sparked by a hypothetical question: There are two scenarios. In the first, an infinite number of people are living in a completely blissful paradise, but every day a person is se...

Dec 5, 2019 · I couldn't find any substantial list of 'strange infinite convergent series' so I wanted to ask the MSE community for some. By strange, I mean infinite series/limits that converge when you would …

Aug 7, 2014 · 'every infinite and bounded part of $\mathbb {R^n}$ admit at least one accumulation point' because for me a set is either bounded so finite or infinite so unbounded. I don't really understand …

Dec 15, 2025 · Can a countable set contain uncountably many infinite subsets such that the intersection of any two such distinct subsets is finite?