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What exactly is infinity? - Mathematics Stack Exchange 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 can be translated as " unboundedness ", itself derived from the Greek word apeiros, meaning " endless "
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
Can I subtract infinity from infinity? - Mathematics Stack Exchange Can this interpretation ("subtract one infinity from another infinite quantity, that is twice large as the previous infinity") help us with things like limn→∞(1 + x n)n, lim n → ∞ (1 + x n) n, or is it just a parlor trick for a much easier kind of limit?
What is the result of - Mathematics Stack Exchange 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 × × are not the kind of mathematical objects that − acts upon
infinity - Does infinite equal infinite? - Mathematics Stack Exchange Measuring infinity like this is called the Cardinality of a set However, I will say that there is both an equivalent amount of numbers between 0,1 and 0,2 and double the amount of numbers between them, at the same time
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
Is 1 + infinity gt; infinity? - Mathematics Stack Exchange So new_infinity would just become "1 + infinity" They argue that you can just substitute in x for infinity and have the statement 1 + x> x which is true (but I don't think you can substitute a variable in for infinity) I asked my math professor about this question and he said 1 + ∞> ∞ is false, but I don't really remember the explanation