
Re: Is logic part of mathematics  or is mathematics part of logic?
Posted:
Jul 6, 2013 1:28 AM



On Fri, 05 Jul 2013 23:20:40 0600, Robert Hansen <bob@rsccore.com> wrote:
> > On Jul 5, 2013, at 11:47 PM, "Louis Talman" <talmanl@gmail.com> wrote: > >> It wasn't until I took my first calculus course as a freshman in >> college that I encountered real concern about >>proofs and derivations. >> I was fortunate in that my professors there made proofs and derivations >> about half of their >>calculus sequenceall four semesters of it. And >> they examined us on those proofs and derivations, not only in >>the >> calculus sequence, but in the junior and senior comprehensive exams all >> math majors had to pass in order to >>be graduated. > > I meant to ask, do you think this is common today in college?
I think it was uncommon then in college. And is still uncommon today.
I did my graduate work at the University of Kansas, probably a second tier school in mathematics. While there, I had a halftime appointment, teaching lower division courses. Their calculus sequence was much different from the one I had taken, and much like the ones taught at the colleges and universities where I've held appointments since. Plus ca change, plus c'est la meme chose.
> > >> (Many of my colleagues during that first calculus sequence would not >> have agreed that any of this proofand>>derivation business was >> "fortunate"; a substantial fraction of them show themselves to be >> completely at sea at >>that business.) > > What happened to those students? Did they swim or sink?
At mathematics, most of them sank. And those people found nonmathematical things to pursue. (Here I include physics, which doesn't, as a rule, take a deep interest in the structure of mathematicsonly in what it will do for them.)
> > > Bob Hansen >
 Louis A. Talman Department of Mathematical and Computer Sciences Metropolitan State University of Denver
<http://rowdy.msudenver.edu/~talmanl>

