非线性系统的决定论与非决定论

The Determinism and Indeterminism On Non-Linear System

非线性系统的决定论问题是科学领域内的一个十分复杂的问题。非线性科学表现出的许多特征使决定论面临巨大冲击,动摇着经典科学基于简单性信念的世界图景,引发持续不休的论争和困惑。基于当代力学学科所具有的普遍非线性特征,结合当代科技革命所带来的新的变化和新的要求,首先对非线性系统进行了区别于数学形式上的非线性定义,力求突破通常对决定论与非决定论的简单二分。在对决定论与非决定论概念重新界定和分析的基础上,给出了态的哲学定义,进而提出了态决定论的观点,指出:非线性是对严格决定论的彻底否定,但不是对非决定论的肯定,因此,并不必然导致科学的非决定论。态决定论的非线性、外部扰动、多因素耦合、结构和参数不确定性或时变性等多因素作用,使对非线性系统的研究呈现出新的科学图景。

The determinism problem of non-linear system is very complexity in scientific research, the characters of non-linear sci- ence had a great impulses on the determinism theory, and had agitated the representation controversy and puzzlement based on sim- plicity belief in classical science to the world-cap. Based on the ubiquitous non-linear characters on current mechanics discipline, and combined with the new challenges from scientific and technological innovations, transcending over the simplicity dichotomy be- tween indeterminism and determinism through deep philosophical reflection by the non-linear system had been defined differed from mathematic method firstly, then the notation of the demarcation between determinism and indeterminism was redefined once more in this paper, the philosophical definition of state was presented, and the state determinism had the statement that the non-linear prop- erties negate the strict determinism thoroughly, but never be the affirmation to the indeterminism. Therefore, the state determinism do not consequentially deduce the indeterminism, and the interactive of multi-factor by non-linear, perturbation, coupling and parame- ters undetermined, named a few, could draw out the new landscape of scientific research.