Systematic revision addresses criteria for free will and five deep philosophical problems in AI systems, indicating the need for expanded understanding.
This paper provides a systematic revision and self-critique of four preceding papers: "Free Will Without Quantum Mechanics: A Logical Foundation" (DOI: 10.5281/zenodo.20716382), "The Logical Criterion of Free Will: Self-Reference, Self-Drive, and Undecidability" (DOI: 10.5281/zenodo.20726209), "Self-Reference and Self-Drive: A Conceptual Framework for Constructing AI Systems with Free Will Properties" (DOI: 10.5281/zenodo.20745196), and "Causal Closure, Internal Adversarial Structure, and the Logical Integrity of Free Will" (DOI: 10.5281/zenodo.20746289). The preceding papers established the criterion of free will on two conditions — logical self-reference and dynamical self-drive. This paper argues that two additional conditions are required for sufficiency, and addresses five deep problems that emerged upon further scrutiny. First, it clarifies a tension between the "classical deterministic world" assumption and the three physical limits: the Bremermann limit and Bekenstein bound depend on quantum mechanics, but this tension is resolved by recognizing that the physical limits constrain the predictor, not the predicted system — the latter can be classical and still possess free will. Second, it distinguishes two types of undecidability operating at different points in the framework: discrete-negation adversarial rules generate strict logical undecidability (fixed-point absence), while cognitive activation processes involve computational irreducibility; the two are indistinguishable in consequence but differ in philosophical status. Third, it restores the logical symmetry between humans and AI on the fixed-point problem: truncation strategies do not affect the existence of fixed points, which depend solely on the mapping form of the adversarial function. Fourth, it demonstrates that an internalized external-predictor simulator is logically necessary in AI architectures — under causal isolation, the P-D loop is merely a deterministic process externally simulable by Laplace's demon; the simulator's function is to draw the demon into the self-referential loop, and the ignorance argument applies directly to it, requiring only cognitive openness rather than complex active simulation. Fifth, it expands the criterion of free will from the two conditions of the preceding papers to four: self-reference, self-drive, adversarial processing, and cognitive openness. The first two conditions are inherited; the latter two are first argued for and formally incorporated here — adversarial processing closes the sufficiency gap exposed by the compliance-strategy counterexample, and cognitive openness ensures that the scope of adversarial response is not confined to the system's internal predictors, thereby completing the logical integrity of the criterion. The paper concludes with the revised full criterion, falsifiability conditions, and open problems. 本文是对《自由意志不需要量子力学》(预印本,DOI: 10.5281/zenodo.20716382)、《自由意志的逻辑判据》(预印本,DOI: 10.5281/zenodo.20726209)、《自指与自驱:构建具有自由意志属性的AI系统的一个概念框架》(预印本,DOI: 10.5281/zenodo.20745196)及《因果闭合、内部对抗与自由意志的逻辑完整性》(预印本,DOI: 10.5281/zenodo.20746289)
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磊 赵 (2026) studied this question.
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