AI's Euclid's Elements Moment: From Language Models to Computable Thought
Xinmin Fang, Lingfeng Tao, Zhengxiong Li

TL;DR
This paper introduces a five-stage evolutionary framework for AI development, paralleling human cognitive history, emphasizing a reflexive progression towards self-aware, reliable, and aligned AI through stages like the Metalinguistic and Formal Logic Moments.
Contribution
It proposes a systematic, cross-disciplinary model of AI evolution that explains past shifts and guides future development towards computable, self-reflective, and provably aligned AI architectures.
Findings
AI evolution mirrors human cognitive technological progress.
Current transition into the 'Metalinguistic Moment' with self-reflective capabilities.
Future stages aim for a computable calculus of thought with reliable, aligned AI.
Abstract
This paper presents a comprehensive five-stage evolutionary framework for understanding the development of artificial intelligence, arguing that its trajectory mirrors the historical progression of human cognitive technologies. We posit that AI is advancing through distinct epochs, each defined by a revolutionary shift in its capacity for representation and reasoning, analogous to the inventions of cuneiform, the alphabet, grammar and logic, mathematical calculus, and formal logical systems. This "Geometry of Cognition" framework moves beyond mere metaphor to provide a systematic, cross-disciplinary model that not only explains AI's past architectural shifts-from expert systems to Transformers-but also charts a concrete and prescriptive path forward. Crucially, we demonstrate that this evolution is not merely linear but reflexive: as AI advances through these stages, the tools and…
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Taxonomy
TopicsComputability, Logic, AI Algorithms · Cognitive Computing and Networks · Cognitive Science and Education Research
