I know exactly what you said. The problem is that everything you said is entirely inconsequential and irrelevant to the discussion, because you are trying to prove something backwards. Chaos theory is not random numbers, though it can be used to create them if you do not know the input. Proving the latter does not prove the former.
Of course it doesn't. Logic and all that. Fact is I never said that chaos theory is random. I never proved the latter to prove the former. I merely proved the latter to show that the former can be true, and is true when abstracted in a certain way. Which is logically sound.
Oh God. Apart from saying I said something that I didn't...
If you don't want RNG, then why are you playing a simulation?
You said it. Shut up.
That's just me saying that stochastic simulations are the only thing that makes sense for games.
Those are simulations that take a range of input to give a range of output. They are deterministic. You clearly should learn a bit more about statistics rather than parading about your faux-knowledge. Even reading the first damn section shows that you are wrong:
Monte Carlo methods vary, but tend to follow a particular pattern:
Define a domain of possible inputs.
Generate inputs randomly from a probability distribution over the domain.
Perform a deterministic computation on the inputs.
Aggregate the results.
God you're a moron. Of course the computation is deterministic. How else could it happen?
The simulation is however not. The inputs as defined by the user (and not the RNG) does not have a unique solution.
http://en.wikipedia.org/wiki/Deterministic_system
"In mathematics and physics, a deterministic system is a system in which no randomness is involved in the development of future states of the system. A deterministic model will thus always produce the same output from a given starting condition or initial state."
This is not true for stochastic simulations.
You should probably attend some computational physics classes or some other class that deals with simulations.
The game isn't simulating everything you retard. That which is abstracted (character thoughts, decisions, genetic inheritance, ect) all work to change the result.
Christ. You're fixed in on this deterministic thing, eh?
http://en.wikipedia.org/wiki/Simulation
"Simulation is the imitation of the operation of a real-world process or system over time. The act of simulating something first requires that a model be developed; this model represents the key characteristics or behaviors/functions of the selected physical or abstract system or process. The model represents the system itself, whereas the simulation represents the operation of the system over time."
The simulation is simulating dynasties on the map of Europe over time.
Some Most inputs in the simulation are driven by RNGs, therefore the simulation is not deterministic.
Because those parts aren't being simulated, are they?
They form part of the overall simulation. The AI is also being simulated in one way or another.