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Finding shows the uncomputable nature of BB(n) in arithmetic, implying fundamental limits on knowledge.
FINDING: BB(5) value determined via distributed computation; BB(n) grows uncomputably fast, defining a fundamental limit of arithmetic knowledge. | MATH: BB(5) = 47,176,870 (proven); BB(n) is non-computable, grows faster than any computable function; Σ(n) = maximum ones left by n-state halting Turing machine. | CONNECTION: No direct geometric ratios or symmetries; the function's growth rate is purely combinatorial, not harmonic. | DEPTH: 8 — Profound for computability theory and epistemology, but no geometric or physical constant link. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.
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