Post by yjk<?>---said;
“A conclusion is the place where you got tired of thinking.”
Since everything we know is based upon approximations, its more like
we decide upon what a conclusion should be based upon effort and
exhaustion. Of course effort is the amount of work we want to put into
thw effort while exhaustion is the degree of approximation needed for
the conclusion to work at the humam sized level.
Jacques Bernier's approach of matching. Wherin; We can place the
incommensurables between two magnitudes which are congruent with
rational number orderings showing that this incommensurable is less
than the one of this pair, but greater than the other. This was the
method used by Eudoxus:
the method of exhaustion.
By this method, the arithmetic value
of pi can be measured to any necessary
position, for such purposes as
carpentry, plumbing, and
so forth.
http://groups.google.com/group/comp.software.year-2000/msg/09542544956450ba
http://en.wikipedia.org/wiki/Method_of_exhaustion
Exaustion matches the limitations of sense and concept, sufficiently
to make equivalence and functionability which of course matches
available evidences which are within that magnitude...