One Axiom : Exploration Theory
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Abstract
ONE AXIOM: Exploration Theory — The Structural Grammar of Domain Morphisms Document 4M in the ONE AXIOM series (Series M). Where 3M established the conditions under which a Complex Predictive System (CPS) executes a single domain-changing morphism (D1-decision) — characterising when such a transition is structurally valid — 4M asks the next question: what grammar governs the systematic execution of D1-morphisms as an ongoing process? Exploration Theory is that grammar. The Terminal Symbol Problem Classical exploration models (reinforcement learning, active inference) treat physical states or observations as terminal symbols. This paper establishes that the correct terminal symbol of the Exploration Language is…
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1Topics & keywords
Topics
Keywords
- Axiom
- Morphism
- Adjunction
- Grammar
- Algebra over a field
- Symbol (formal)
- Lemma (botany)
- Category theory
UN Sustainable Development Goals
- Peace, Justice and strong institutions
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