It has been fashionable since the success of the natural sciences in the 1800's to attempt to apply the methods of the natural sciences to the social sciences. Concepts like "equilibrium" are applied incorrectly because a person goes on to striving for the next thing right after achieving the first and markets are in a constant flux.
On why mathematical economics is a failure, see here: http://mises.org/daily/3540
If you wish there are plenty of refutations of why the criticism of Austrian school about modern economics is misdirected, I believe pretty much of them do a good job, Bryan Caplan was right in almost everything, you need not to accept any of them of course, I respect you, but you'll need to know that I do not accept anything that comes from mises.org and do not read them anymore.
You're either incapable or unwilling to have a real discussion though, so that is just for anyone else who cares.
As I said in the above post I am unwilling, I have more important things to do than entering in eternal ego wars on the net.
By the way: http://ycombinator.com/newsguidelines.html
EDIT: I was rude in this comment and if you felt offended I ask you to forgive me.
Either way my problem with Autrian school is that it try to rely too much on logic and methodological individualism, probabilistic CFD using some Monte Carlo methods, I'm not against first-order logic since I'm a mathematician by training and I think the Austrian use of it brought some useful and good insights into economics, my main problem is with methodological individualism, I think it does nothing to advance economics as a science, you're right that Economics is not Physics, but them ever in Physics we have Fluid dynamics and Heat transfer models that use statistics because they are complex and a complete model is unforeseeable in the near future, maybe there will be a complete model, maybe not.
A macroeconomic model is just trying to approach a complex system in the same fashion which have an additional problem, it deals with humans, mind you that generally every researcher in neoclassical economics is well aware that their models have some assumptions that breaks at some point, Stieglitz and Kahneman have shown some example and general equilibrium is a favorite target. It's also good to point out that not every economist is trying to use their models to recommend banks or governments what to do, Krugman made an essay in the past actually recommending economists to advise policy, not every economist is interested in this however.
I believe this is enough, if you reply I will answer one time but bear in mind that I'm not an economist.
: or numerical methods, my PhD thesis was in CFD
: They all generally know about this: http://en.wikipedia.org/wiki/Criticisms_of_neoclassical_econ... Generally every