Of Surreal Geometry

Operations like a sum, we may take for granted. We just think that numbers go on forever, and the sum is able to transcend infinity. We can take a point at infinity and pack it into a finite distance with a Riemann sphere projection for example. So, there are two parts to the story of the natural numbers: the numbers from zero and the numbers from infinity. It’s just that, from infinity, you count -1, -2, -3, etc… Until you reach negative infinity. Id est, Zero! 

This is all, because negative is just a direction opposite from positive. Being collinear, zero and infinity are related by the line that defined them.

The sum of two finite natural numbers can reach infinity, and the result of such sums are thus called transfinite natural numbers. At twice infinity, we have the sum of infinity and infinity. 

At half infinity, the sum of finite numbers become transfinite. Having half infinity plus one, plus half infinity be equal to infinity plus one. Here, we have an algebra we can work with.



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