Ripheus23

OK there's quite a few typos. The main one is at the formula for the finite numbers. It should read

n < omega; n > zero

*there're

Something I found was that in surreal arithmetic, there are numbers such as "omega minus one." These can fit to the reduction of the omega-metaindex, though anomalously: also, though, the relatively finite numbers can then be defined as the examples of the things like 1 and 2 and so on, anomalously, in the surrealm. In other words, relative 1 is larger than all actual finite numbers and less than omega, in this sense.

However, there also seem to be an infinite number of kinds of zero in the system. Assume any aleph with any metaindex, and assume its glyphdex is 0. If its glyphdex is 0, we will stipulate that all higher indices are 0. At any rate, we can imagine metaindexed alephs all of whose first-order indices are zero. By the principle of comparison, a zero-aleph with more indices is larger than one with less, so we would get the peculiar result that there are infinite relative-zero numbers in a sequence whereby each is larger than the predecessor. In other words, not only would there be infinite number of kinds of zeros, but there would be infinitely larger and larger forms of zero!