Of course it's total bullshit, I'm trying to explain Chaos theory and the application thereof to theology in one post. Such oversimplification means everything I said is, in some way, wrong. However, it will give a basic understanding of the underlying concepts (hopefully) and maybe get people to understand more via their own research.
But probably not.
However, I made pretty pictures to go with it, which makes it both easier to understand and more amusing. Robert L Devaney's paper on the Dynamics of Simple Maps would be a good starting point to really understanding this, and I CAN scan it all, there's nothing too complex... (It's undergraduate level math, really.)
For now just copy/paste it and use it as an OMF I guess.
To sum up:
Any given Discordian might believe anything at any point in time (unlike other religions, who's members only believe certain sets of things) but Discordianism as a whole has certain beliefs that are orbiting at least one strange attractor and would make really cool pictures if we could compute that stuff.
Imagine a big box. Each point in the box (X, Y, Z) is one set of religious beliefs. A few thousand/million for the Catholics, a few million for the Jews, etc, etc. Little clouds, and some of them might overlap. But pretty much all those little clouds are confined, they don't spread very far. You don't get Jews who believe in Ramses and Odin, if they do that they aren't Jews.
Discordianism's cloud fills the WHOLE BOX. We can believe ANYTHING. Now, our cloud IS denser at some points. More of us believe in Eris or something similar, so there is a bit of a cluster around the "chaos" side. But I know one Discordian who is a devout Catholic. Goes to church and everything. It might all change next Tuesday, but he's spreading that Discordian cloud out to overlap the others.
Discordians can believe anything, and we know it. This wreaks havoc with finding core beliefs, because some of us are bound to disbelieve the ability of a true Discordian to believe in anything (after all, someone has to not believe that!)...
So I present it as a bit of Chaos theory, since putting it into math makes it easier to understand. It also lets us make pretty pictures and describe things with relation to the Chaos in quantum mechanics and such, which adds even more fun.