> the human race will breed itself into some mad corner Bit of a tangent, but I think sexual reproduction helps to avoid this. Picture a set of points (people)

> the human race will breed itself into some mad corner Bit of a tangent, but I think sexual reproduction helps to avoid this. Picture a set of points (people) in Euclidean space. Pick any two, "a" and "b", at random. Add a new point "c" at the midpoint. Unless the overall shape of this swarm is highly nonconvex, then this point "c" is going to be more in the "interior". If we formalized things a little more, we could prove that this operation is a contraction. The Fixed Point Theorem would apply, &etc. So, once your set has reached some convex shape, then there's a balance between these two forces: The contracting force of sexual reproduction, and the expanding force of random mutation. There's also selection of course. I tacitly assume there isn't much more of that happening right now? I could be wrong though; there may be some (strong?) selection against education... Interestingly, it's these educated who I assume would "benefit" from a eugenics regime. But, one bad meme, and the whole thing goes bad...