On Tuesday, August 20, 2013 11:13:02 PM UTC-4, 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. > >
Ok. I just want to know the order of learning I guess. Or say a really smart and "rigor-loving" alien landed in our backyard, in what order would we explain thing to him in (assuming the alien learns English first).
> > > 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.
1, 2 would be metalanguages? These would be used to build up formal languages 3,4?