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Infinity refers to something without any limit, and is a concept relevant in a number of fields, predominantly mathematics and physics An example of an infinite number in $ {}^\ast \mathbb r$ is. The english word infinity derives from latin infinitas, which.
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I know that $\infty/\infty$ is not generally defined Thus both the square root of infinity and square of infinity make sense when infinity is interpreted as a hyperreal number However, if we have 2 equal infinities divided by each other, would it be 1
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The infinity can somehow branch in a peculiar way, but i will not go any deeper here
This is just to show that you can consider far more exotic infinities if you want to Let us then turn to the. Similarly, the reals and the complex numbers each exclude infinity, so arithmetic isn't defined for it Infinity plus infinity ask question asked 13 years, 11 months ago modified 10 months ago
Infinity does not lead to contradiction, but we can not conceptualize $\infty$ as a number You never get to the infinity by repeating this process Limit means that you approach the infinity but never actually get to it because it's not a number and cannot be reached 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
For infinity, that doesn't work Under any reasonable interpretation, $1+\infty=2+\infty$, but $1\ne2$ So while for some purposes it is useful to treat infinity as if it were a number, it is important to remember.
