
How many possible statements about N?
Posted:
Aug 21, 1996 10:23 PM


Consider S_N={all possible statements about the natural numbers}. Does anyone know the cardinality of S_N? How about S_Z, S_Q, S_R, S_C, for the integers, rationals, reals, and complex numbers? Also, what is the cardinality of the set of true statements? How about the set of statments that are provable from accepted axioms?

