No LLM generated, heavily assisted/co-written, or otherwise reliant work.
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Abstract
We propose a novel framework in which a language model recursively restructures a representation of problem space by evaluating reasoning-based proximity between problems. Using self-reflective queries, behavioural transfer tests, and iterative clustering, the system constructs a geometric topology in which vector proximity reflects functional similarity, not statistical co-occurrence. This recursive loop, transforming, clustering, and feeding back into its own representations, enables the emergence of a structured reasoning space aligned with logical coherence. We argue that this architecture supports continual, insight-driven learning without external supervision, and may offer a path toward non-plateauing cognitive development in artificial intelligence.
This is not a mature technical solution. It is a conceptual framework, a provocation, a set of organizing principles, and a path worth exploring. It does not claim implementation expertise. It offers inspiration, structure, and clarity to those who do.
Abstract
We propose a novel framework in which a language model recursively restructures a representation of problem space by evaluating reasoning-based proximity between problems. Using self-reflective queries, behavioural transfer tests, and iterative clustering, the system constructs a geometric topology in which vector proximity reflects functional similarity, not statistical co-occurrence. This recursive loop, transforming, clustering, and feeding back into its own representations, enables the emergence of a structured reasoning space aligned with logical coherence. We argue that this architecture supports continual, insight-driven learning without external supervision, and may offer a path toward non-plateauing cognitive development in artificial intelligence.
This is not a mature technical solution. It is a conceptual framework, a provocation, a set of organizing principles, and a path worth exploring. It does not claim implementation expertise. It offers inspiration, structure, and clarity to those who do.
In the Topology of Thought - A Proposal for Recursive Cognitive Structuring in Language Models.docx - Google Docs