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What is infinity divided by infinity? - Mathematics Stack Exchange 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
complex analysis - Infinity plus Infinity - Mathematics Stack Exchange You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful What's reputation and how do I get it? Instead, you can save this post to reference later
Types of infinity - Mathematics Stack Exchange 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 infi
infinity - Does infinite equal infinite? - Mathematics Stack Exchange If you think a system which handles infinity well has certain properties, then find one which has those properties If you think systems should say infinity doesn't exist, and questions concerning it are nonsense, impossible, or undefined, then find one Many types of systems exist (however much the adherents of a given system may deny it)
Is $0^\\infty$ indeterminate? - Mathematics Stack Exchange Is a constant raised to the power of infinity indeterminate? I am just curious Say, for instance, is $0^\\infty$ indeterminate? Or is it only 1 raised to the infinity that is?
Can infinity be divided by anything? - Mathematics Stack Exchange Since you are talking about "dividing by infinity" then you are probably working in the extended real numbers rather than the real numbers In such a context, yes infinity is the "largest" extended real number and 11 11 can indeed be divided by it
One divided by Infinity? - Mathematics Stack Exchange Similarly, the reals and the complex numbers each exclude infinity, so arithmetic isn't defined for it You can extend those sets to include infinity - but then you have to extend the definition of the arithmetic operators, to cope with that extended set And then, you need to start thinking about arithmetic differently
infinity - Are all infinities equal? - Mathematics Stack Exchange 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
Why does Infinity x Zero not Equal One? [duplicate] 1 Infinity isn't explicitly a number so it doesn't follow the rules of arithmetic, you can pseudo-prove all sorts of silly things like 1=2 if you assume that infinity is a regular number, which is clearly wrong