用可量化指标定义智能,区分记忆与真知。
A Quantitative Definition of Intelligence
- 以输出独立性与描述长度比值衡量智能密度
- 智能表现为固定机制产生无限正确输出的能力
- 适用于从逻辑门到大脑的任意物理系统
我们为任意物理系统提出一个操作性、可量化的智能定义。系统的智能密度是其独立输出对数与总描述长度之比。系统若随输出数量增加而增长描述长度,则为记忆;若描述长度固定而输出数量发散,则为知识。知识的标准是泛化能力:单一有限机制能在无界输入范围内持续生成正确输出,而非逐个存储答案。该定义将智能置于从逻辑门到大脑的跨底物连续谱上。我们进一步认为,特定域中的意义是函数的选择与排序,使输出在可指定正确性的条件下成立。同时定义输出上下文性为给定先前输出后其条件柯尔莫哥洛夫复杂度的倒数,统一了正确性与独立性。这些结论否定了塞尔第三前提——语法不足以产生语义——在所有正确性可指定的领域内。
原文摘要 · Abstract (English)
We propose an operational, quantitative definition of intelligence for arbitrary physical systems. The intelligence density of a system is the ratio of the logarithm of its independent outputs to its total description length. A system memorizes if its description length grows with its output count; it knows if its description length remains fixed while its output count diverges. The criterion for knowing is generalization. A system knows its domain if a single finite mechanism can produce correct outputs across an unbounded range of inputs, rather than storing each answer individually. The definition places intelligence on a substrate-independent continuum from logic gates to brains. We then argue that meaning over a domain is a selection and ordering of functions that produces correct outputs where correctness is specifiable. We also define a measure of contextuality of an output as the inverse of its conditional Kolmogorov complexity given the context of prior outputs, which unifies correctness and independence into a single condition. Together, these refute Searle's third premise, that syntax is insufficient for semantics, over any domain where correctness is specifiable.
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