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

Definition: Infinity refers to something without any limit, and is a concept relevant in a number of fields, predominantly mathematics and physics. The English word infinity derives from Latin infinitas, which …

Dec 18, 2012 · I understand that there are different types of infinity: one can (even intuitively) understand that the infinity of the reals is different from the infinity of the natural numbers. Or that the …

For infinity, that doesn't work; under any reasonable interpretation, 1 + ∞ = 2 + ∞ 1 + ∞ = 2 + ∞, but 1 ≠ 2 1 ≠ 2. So while for some purposes it is useful to treat infinity as if it were a number, it is important to …

Apr 28, 2016 · Can this interpretation ("subtract one infinity from another infinite quantity, that is twice large as the previous infinity") help us with things like $\lim_ {n\to\infty} (1+x/n)^n,$ or is it just a …

3 Infinity does not lead to contradiction, but we can not conceptualize ∞ ∞ as a number. The issue is similar to, what is + − × + ×, where − is the operator. The answer is undefined, because + + and × × …

Because multiplying by infinity is the equivalent of dividing by 0. When you allow things like that in proofs you end up with nonsense like 1 = 0. Multiplying 0 by infinity is the equivalent of 0/0 which is undefined.

Dec 25, 2017 · When we use straightforward approach, we get $$ \frac {\infty+1} {\infty} = \frac {\infty} {\infty} $$ In the process of investigating a limit, we know that both the numerator and denominator …

Nov 7, 2015 · Well, if both of them are equal at infinity, that would mean that two different non-supplementary values had the same sine value, which of course wouldn't make sense. I was asking …

A friend of mine was trying to explain to me how all infinities are equal. For example, they were saying that there are the same amount of numbers between $0$–$1$ as there are between $0$–$2$. The...