Yeah, the surreal numbers are somewhat similar to my intuition, but not the same. Kolmogorov complexity is probably closer. But I don’t have anything precise in mind. Just a feeling that “first numbers, then sets of numbers” makes sense on some level, but there is no way to make the same sense about (all) sets of sets.
I just started reading the reviewed book. Thanks for inspiration!
Yeah, the surreal numbers are somewhat similar to my intuition, but not the same. Kolmogorov complexity is probably closer. But I don’t have anything precise in mind. Just a feeling that “first numbers, then sets of numbers” makes sense on some level, but there is no way to make the same sense about (all) sets of sets.
I just started reading the reviewed book. Thanks for inspiration!
Just because you personally don’t understand doesn’t mean that somebody else could not.
But you might also be getting to the distinction that “all sets” is a proper class whereas numbers can be put into a set and are thus a small class.