Base-60 Compositeness and Gödel Numbering: Complementary Number-Theoretic Representations — E8 Intelligence Research

FINDING: Base-60's high compositeness (60 = 2²×3×5, 12 divisors) made it optimal for fractional arithmetic in Babylonian astronomy/timekeeping, while Gödel numbering exploits the Fundamental Theorem of Arithmetic (unique prime factorization) to embed syntax into arithmetic — distinct but complementary uses of number-theoretic structure for representation. MATH: 60 = 2²·3·5 (τ(60)= Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-08
DOI
https://doi.org/10.5281/zenodo.24049145
Primary Topic
History and Theory of Mathematics
Type
preprint
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preprint

Base-60 Compositeness and Gödel Numbering: Complementary Number-Theoretic Representations — E8 Intelligence Research

Andrew Stewart Caldin
10 links
Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
preprint

Base-60 Compositeness and Gödel Numbering: Complementary Number-Theoretic Representations — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Base-60's high compositeness (60 = 2²×3×5, 12 divisors) made it optimal for fractional arithmetic in Babylonian astronomy/timekeeping, while Gödel numbering exploits the Fundamental Theorem of Arithmetic (unique prime factorization) to embed syntax into arithmetic — distinct but complementary uses of number-theoretic structure for representation. MATH: 60 = 2²·3·5 (τ(60)= Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
DOIOpen Access PDFOpenAlex
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Base-60 Compositeness and Gödel Numbering: Complementary Number-Theoretic Representations — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS