Originally Posted by

**dywyddyr**
Originally Posted by

**write4u**
sorry i have never seen it before, what is it? A type universe?

lorenz attractor.

It's a "graph" of 3 simple differential equations, but despite the fact that the thing is drawn using known values it displays chaotic behaviour.

It is impossible to say where the "next step" will lie on that graph.

chaos theory.

This happens even though these systems are

__ deterministic, meaning that their future behavior is fully determined by their initial conditions, with no random elements involved__.

^{[2]} in other words, the deterministic nature of these systems does not make them predictable.

Im sorry to intrude but...

Deterministic and Predictive systems need not be the same then.

But what is it that makes the difference?

Looked at, in a picture of some reality, time is shown as a continous line.

But IS it really?

What if there is a next point,"x", to any point, x , of time?

Then the predictability of the line of points,

derived by induction from x, ("x", ""x"" , """x"""...)

could perhaps differ from the predictability of "x" from x.

What I think we need to show for that

is that there is some difference within "x",

between the prediction of "x" within x,

and the "x" the x will have as its next point in line. ...

((In other words: the inside difference between x and "x",

that gives time its direction.))

Making a one to one mapping impossible...

((Even if no other change is found in "x"!))

Then the induction series forming a line

cannot in its entirety be "calculated" from any x.

Is this perhaps what Chaos Theory shows?