自由意志的逻辑判据:自指、自驱与不可判定性

This paper serves as a supplementary argument to "Free Will Without Quantum Mechanics: A Logical Foundation" (preprint, DOI: 10.5281/zenodo.20716382), and aims to provide a rigorous criterion for free will. The earlier paper argued that the logical foundation of free will lies not in quantum indeterminacy but in the computational undecidability revealed by Gödel's incompleteness theorems and Turing's halting problem. This paper pursues a further question: what conditions must a system satisfy to be properly regarded as possessing free will? Through insights emerging from dialogical inquiry, a three-element criterion is proposed: logical self-reference, dynamical self-drive, and the undecidability that arises from their conjunction. This paper argues that self-reference and self-drive jointly constitute the necessary and sufficient conditions for free will, with undecidability as their logical consequence. It clarifies the distinction between self-reference and generic feedback loops, and between self-drive and passive waiting. Through thought experiments involving a sensory-deprived infant and cats and dogs, it demonstrates that free will requires neither higher intelligence, nor preference structures, nor outputs possessing recognizable meaning. The paper further argues that free will, under this framework, is a binary property of a system's logical structure, while its manifestations admit rich differences in degree. Finally, it explicitly separates free will from moral responsibility and provides falsifiability conditions for the criterion. 本文作为《自由意志不需要量子力学:一个逻辑上的论证》(预印本,DOI: 10.5281/zenodo.20716382,以下简称"前文")的补充论文,旨在为自由意志提供一个严格的判据定义。前文论证了自由意志的逻辑基础不在量子力学,而在哥德尔不完备定理与图灵停机问题所揭示的计算不可判定性。本文在前文基础上进一步追问:一个系统需要满足什么条件,才能被恰当地视为具有自由意志?通过对话式探究中涌现的洞见,本文提出了一个三要素判据:逻辑的自指性、动力学的自驱性、以及由此产生的不可判定性。本文论证,自指与自驱联合构成自由意志的充分必要条件,不可判定性则是它们的逻辑推论。本文依次澄清了"自指"与一般反馈回路的区别、"自驱"与被动等待的区别,并通过感觉剥夺婴儿与猫狗的思想实验,论证了自由意志不需要高等智慧、不需要偏好结构、不需要输出具有可辨识的意义。本文进一步指出,自由意志在此框架下是一个关于系统逻辑结构的二进制属性,但其表现可以存在丰富的程度差异。最后,本文将自由意志与道德责任做了明确的分离,并给出了该判据的可证伪条件。