II- Review of the Nature Principles (cont.)

h) Determinism & Probabilism

Natural evolution is a succession of stages described by determinist laws and stages described by probabilistic laws.

Concentration X is a function of the parameter ∂, which measures the distance from equilibrium. At the bifurcation point, the thermodynamic branch becomes unstable, and two new solutions b1 and b2 emerge. Beyond the bifurcation point, a set of new phenomena arise. Prigogine named these spatio-temporal organizations: Dissipative Structures. Irreversible processes describe fundamental features of Nature leading to non-equilibrium dissipative structures. For unstable systems we have to formulate the laws of dynamics at the statistical level. In such a formulation, the basic objects of physics are no longer trajectories or wave functions. They are probabilities. (Prigogine, 1993).

Nature is not linear.

Problems need multi-solutions.

Reject any single solution.

Favor multi-solutions.

Maths does not solve all problems.

Trial and errors often gives better results.

Finally, do not hide errors but try to not repeat them.

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