I bet you think that makes you really cool too don't you. I mean having the worlds shortest attention span is just aces... j/k
If F(x) is a smooth function about the limits of plus and minus infinity Let P(x) = the probability of something. DF(x)/DP(x) = nx^n-1 Hence Dx = 1/nx^n-1 or 1/n.x^n+1 Hence the solution to x at P(x) is the antiderivative of P(x). Solving for x clearly produces an infinite or general integral within the limits of +/- infinity. Hence P(x) is closely related to both P(x) at t and P(x) at x,y,z. The differential of x here is imaginary hence the integral of P(x) is complex and approaches a value only as it nears infinity. if we allow: The resultant solutions are either imaginary or real or complex but never both. This is not quantum mechanics.
I made a mistake if anyone can spot it you are officially a complete nerd. To put it basically whether the world is a better place tomorrow is entirely down to you and where you are now and what happens later.
Quite the opposite actually. Since the equation is smooth ie linear, at all points, you can in fact control what happens later, and in turn this will effect the world. If however the equation were stochastic, like in quantum mechanics you would ironically be unable to do anything other than something entirely random and fatalism would reign by default. It's hardly profound but there you go. It is ironic though. http://www.aaronsw.com/weblog/quantumwill This might help. Although it is of course in direct opposition with my maths.
While we may have control over "entirely down to you and where you are now"... We have no control over "what happens later". Chaos happens.
It does does it? Chaos you know is just another form of determinism, there is nothing inherently illogical or random about it though. Butterfly effect is all very well but as coherent philosophy it sucks balls.
I'm yer' Huckleberry, :cheers2: Someone may need to crunch a few numbers here and there,,, but I do tie my own shoes.