Re: general questons about TOEs, constants, continuum and real numbers

In article <1157903478.435389.122410@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>, imutate@xxxxxxxxxxxxx writes:
AFAIK Kurt Godel proved there
are unanswerable questions in Mathematics, so potentially..

Yes, potentially. But you'll never know.


Do you mean we will never know, why never ? If an exact match is found
between a more advanced theory and reality then why not ?

And how would you find an *exact* match? All we have and all we'll
*ever* have is a finite number of data points measured with finite
accuracy. Given your math background I'm sure you realize that you
cannot uniquely define a function based on sampling over a finite set
of points. And when even the sampled values are not known exactly...

So, again, the best we can hope for is a single consistent theory,
capable of accounting with all our observations, to the limit of
achievable accuracy. And since both "all our observations" and
"limit of achievable accuracy" are time dependent, even what appears
as perfect theory at a given time, may be proven not to be such,
later.

Mati Meron | "When you argue with a fool,
meron@xxxxxxxxxxxxxxxxx | chances are he is doing just the same"
.