On 2/25/2014 2:04 PM, Space998@hotmail.com wrote: > how do you feel about surreals >
What do you mean, feel, you mean have emotion? No, the surreals are numbers, as it were, with the goal as to constructing the integers, rationals, and then numbers between the rationals as the irrationals as surreal numbers, what with that on each Day there are more numbers Born, and on Day Omega there are Born already all the rationals, and also more of them and irrationals. Then, this progresses through limit induction that these construct irrational algebraic and transcendental numbers, as surreals, as they would be as reals.
The "Surreal Numbers" are well-known in the field, they are defined and have arithmetic by I think it is J.H. Conway, a simple notation for which Knuth wrote a brief introduction, which due to readership among computer scientists, is well-known. What I'm thinking here is that James Horton Conway who invented the Surreal Numbers and "Game of Life", where with cellular automata it is "chess with eternal board", also wrote the treatise or in part on Packing, which is one of the most tremendous works on geometry I've seen, Conway and NJA Sloane's "Sphere Packings, Lattices, and Groups".