
Re: If ZFC is a FORMAL THEORY ... then what is THEOREM 1 ?
Posted:
Oct 5, 2012 8:47 AM


Graham Cooper wrote: > > Formal Theory means all sentences in the Theory are systematically > enumerated. > > ZFC is NOT a formal Theory! > > There is no method given to distinguish between theorems and predicate > calculus formulas. > > [...] > > You have NO WAY of enumerating Theorems!
What is enumerated is G\"odel numbers of theorems. So which theorem comes first depends on the enumerator and the G\"odel numbering.
 Where are the songs of Summer?With the sun, Oping the dusky eyelids of the south, Till shade and silence waken up as one, And morning sings with a warm odorous mouth.

