DA Morgan : The left one of your questions unanswered :
Whether the initial condition was finite or not...
As myself and Pasti dicsussed it ... we will have a infinte set of initial conditions but once a intial condition is chosen .. finite variables are chosen to express the imminent infinity....
BTW consider this from infinite no. of initial condition only one is selected .. then the probability of happening of such an event is
P= (event set)/(total event space)
= 1/(infinity) = 0!!!!
And the probability can not be zero because we exist.... and then some one will give me a quantum explanation...for the existince of quantum proability...