| Surreal Arithmetic (Edited rerun) [Good Math, Bad Math] |
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Written by 2000l, March 31st, 2007
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In my last post on the surreals, I introduced how the surreal numbers are constructed. It’s really fascinating to look back on it - to see the structure of numbers from 0 to infinity and beyond, and realize that ultimately, that it’s all built from nothing but the empty set!
Today, we’re going to move on, and start looking at arithmetic with the surreal numbers. In this post, I’m going to go through the basic definition of addition, subtraction, and multiplication of surreal numbers. Division will have to wait for a later post; division is quite a subtle operation in the surreals.
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