The difference of this two kind of mathematics is that Non-Science Mathematics is used in cases that only logic is used to solve any problem, in the other hand; Scientific Mathematics is something...
The only difference between a singular or plural possessive is that the noun possessing something may be one or more than one; for example: Singular: The man's hat blew off.Plural: The men's hats...
I am not skilled at stating meta-mathematics, but meta-mathematics is the study of mathematics by using mathematical methods. By generating "metatheorems" proved theories that have used mathematics...