OK, "random" and "stochastic" mean the same thing; the former has a colloquial meaning that is less precise, so it is preferable in a formal setting to use the latter.
Taffer, the beauty of physics (and IMO biology) is how order emerges from stochastic processes. Just a very few simple rules, imposed on top of random phenomena, yields order at the high level, but stochasm remains at the low levels. The thermodynamics of gases is an excellent example of this.
Maxwell-Boltzmann statistics model the atoms of a gas as tiny classical particles. These particles are modeled as bouncing around randomly, with random speeds in random directions. However, the
average velocity is zero- and the
average speed is dependent upon the temperature, by a very simple equation:
E
K = kT
and the pressure outward of the gas is equal in all directions, dependent upon the volume, temperature, and number of molecules, and is defined by:
PV = NkT
These extremely simple (and very accurate) equations are derived from the underlying stochastic behavior of the component molecules. And from this behavior is garnered the three laws of thermodynamics, and a great deal of other physics. Slight corrections have proven necessary, as with many such theories; but the kinetic theory of gases stands as an achievement as impressive and enduring as Newton's deceptively simple laws of motion, or Kekule's realization of the only possible form of the benzene ring.
And the point is, they emerge from randomness, with only a very few very simple rules added. Just as evolution by natural selection does. This appears to be a general characteristic of the most powerful and descriptive scientific theories: the emergence of order at the high level from chaos at the low.
I think that both sides here are right, and both are wrong. Right, in that evolution represents chaos, in the environment and the production of novel characteristics; and in that overall, high level order emerges from the chaotic underpinnings and can be clearly observed in the world around us. Wrong, in that each says the other's order or chaos is somehow not so.
What is NOT correct is the creationists' claims that order cannot emerge from chaos. We encounter examples of order emerging from chaos all the time; they are all around us. To claim that goddidit for evolution is tantamount to maintaining that goddidit for the laws of thermodynamics and is manipulating all those molecules to make the pressure come out uniform at the macroscopic level. We have math that says that the underlying chaos is
necessary for it to come out that way in thermodynamics; and that same type of math says it is also necessary for evolution to work the way it does. Anyone with any sort of scientific training at all has to cringe every time they hear the creationists twist math and logic the way they do.
So stop arguing, you guys. It's senseless. It's random, and it's orderly. That's how the universe is. If you wanna say God did
that, well, I can't prove you wrong. Yet. But we're getting close.