note · NOTE-AI-DEEP-MULTIDIRECTIONALITY

Deep Multidirectionality

research-note ai-philosophy reasoning finite-memory multidirectionality open-ended-mathematics

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Overview

Finite-Memory Obstructions to Linear Reasoning in Open-Ended Mathematics. The note proves a finite-memory continuation obstruction under its stated definitions and separates that theorem from the broader conjecture that open-ended mathematical discovery has unbounded continuation index.

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13 August 2026research-notePDF