RE: Re:[CrashList] Re:Self Determination- Support It!

[Mark Jones]

Tom Warren wrote: > Damn. > > I started a notebook of everyone's definition of imperialism. I > was getting > to where I could understand the dialogues involving Tony and Rob, (not > Julien) and I even inferred a pretty good definition from Nestor. > > So when Tahir answered Tony who answered Rob, and Nestor answered all I > could track definition T1 in conversations involving definition > T2 x R2, and > then definition N's response. (No use trying to nail down any J1 > definitions.)       The correct solution is trivially clear, surely. As Barkley Rosser puts it in his outstanding clarification of the issue, "Aspects of dialectics and non-linear dynamics" (available on the crashlist website):   "Consider a general family of n differential equations whose behaviour is determined by a k-dimensional control parameter m , such that  x/dt=fm (x); xX Rn , mX Rk (1) with equilibrium solutions given by fm (x)=0 (2) Bifurcations will occur at singularities where the first derivative of fm (x) is zero and the second derivative is also zero, meaning that the function is not at an extremum, but is rather at a degeneracy. At such points structural change can occur, as an equilibrium can bifurcate into two stable and one unstable equilibria. "   Hope this helps.   Mark