On Tuesday, August 20, 2013 8:13:02 PM UTC-7, William Elliot wrote: > On Tue, 20 Aug 2013, Lax Clarke wrote: > > > > > Please correct me if I'm wrong please: > > > This is the order of bootstrapping the foundations of mathematics: > > > > > Boot strapping has nothing to do with mathematics. > > It's part of computer science. > > > > > 1) Naive logic (like the ones the Greeks played with). > > > 2) Use 1) to talk about Naive Set theory (like Halmos' book). > > > 3) Use 2) above to define Mathematical Logic / First-Order Logic > > > 4) Use 3) above to define axiomatic set theory. > > > > A metalanguage is used to dacribe a formal language.
But doesn't the metalanguage follows rules of logic when describing the formal language?