
Re: Pure mathematics as intellectual dead end
Posted:
Oct 29, 2005 6:27 PM


"T.H. Ray" wrote: > > > "T.H. Ray" wrote: > > > > > > ... > > > > > > In the conventional sense of "experiment," in > > empirical > > > term, falsifiability implies the failure of theory. > > Not > > > so in mathematics, where theories are only > > falsifiable > > > in the context of their theoretical > > selfconsistency. > > > > I may have missed your point, but it is the same in > > mathematics as > > well. Suppose one wonders if ab = ba; no experiment > > that shows for > > particular a's and b's that ab = ba will prove > > commutativity, but one > > experiment that shows that ab =/= ba will disprove > > it. > > > > On what theoretically closed judgment, though? > > What is one attempting to disprove that is not > tautological?
There was no mention of tautologies in what I wrote.
 The world will little note, nor long remember, what we say here.

