If I start from the Wikipedia "definition" of "theorem" --> "*In mathematics, a theorem is a statement which has been proved on the basis of previously established statements, such as other theorems, and previously accepted statements, such as axioms.*" I end up looking at a house of cards which will eventually collapse under the weight of its inherent contradictions.
PS: I am omitting all the formal / rigorous steps in between. On Sun, Apr 25, 2010 at 11:21 PM, Russ Abbott <russ.abb...@gmail.com> wrote: > In answer to Eric and lrudolph, the answer I'm looking for is not related > to epistemology. It is related to the domains to which mathematical thinking > is successfully applied, where successfully means something like produces > "interesting' theorems. (Please don't quibble with me about what *interesting > *mean -- at least not in this thread. I expect that *interesting *can be > defined so that we will be comfortable with the definition.) What is it > about those domains that enables that. > > > -- Russ Abbott > ______________________________________ > > Professor, Computer Science > California State University, Los Angeles > > cell: 310-621-3805 > blog: http://russabbott.blogspot.com/ > vita: http://sites.google.com/site/russabbott/ > ______________________________________ > > > > On Sun, Apr 25, 2010 at 10:39 AM, <lrudo...@meganet.net> wrote: > >> "Evolutionary Epistemology" > > > > ============================================================ > FRIAM Applied Complexity Group listserv > Meets Fridays 9a-11:30 at cafe at St. John's College > lectures, archives, unsubscribe, maps at http://www.friam.org >
============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College lectures, archives, unsubscribe, maps at http://www.friam.org