Undecidable Problems Reveal Inherent Limits of Formal Systems — E8 Intelligence Research

FINDING: Undecidable problems (e.g., Halting Problem, Gödel incompleteness) prove inherent limits in formal systems — some truths are unprovable, some computations non-terminating. | MATH: No specific equations or constants emerge; core is logical undecidability: for any consistent formal system F capable of arithmetic, ∃ statement G such that F ⊬ G and F ⊬ ¬G. Halting Problem: no Turing machine H can decide ∀(M, I) whether M halts on I. | CONNECTION: None. No ratios, symmetries, or geometric constants appear. The findings are purely logical/computational, not geometric. | DEPTH: 8 (foundational to mathematics and computer science, but no direct geometric or harmonic content). Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com