8:26:56 PM <expo987> So, for an ordered field F, it is simple to prove that there is a unique inductive set contained in the intersection of all inductive sets in F (this unique set known as the "natural numbers" when F is the real numbers). It can also be shown that the rational numbers are an inductive set, as are the real numbers.
8:27:06 PM <expo987> I should also note, an inductive set S contains the multiplicative identity element (1) and has the property that if n is in S, then n + 1 is in S
8:27:17 PM <expo987>  But I am wondering, how do I find the size of the set of inductive subsets for the real numbers, and further, for
8:27:56 PM <expo987> My attempt at the solution: http://mathb.in/15880?key=d48a2b7d0f048601c8eb8040b1ec0270077084a1