GRSC Summary Paper: From Real Completeness to Finite Readability

This standalone summary paper presents the cumulative arithmetic-closure judgement developed across GRSC Papers16-62. It follows the progression from finite reading units and ledgered operations through projection certificates, obstruction ledgers, finite closure networks, presentation packages, Seal(M,G), and StableFiniteHigherInterface(H). The paper concludes that the background presupposition of real-number completeness cannot serve as a background presupposition in the arithmetic universe, and introduces the quantized real domain at the endpoint of the judgement chain. The archive contains synchronized Markdown, TeX, and PDF editions together with a file manifest and the documentation license.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-17
DOI
https://doi.org/10.5281/zenodo.21405026
Primary Topic
Mathematics, Computing, and Information Processing
Type
article
Field-Weighted Citation Impact
0.00
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article

GRSC Summary Paper: From Real Completeness to Finite Readability

Wangyue
Zenodo (CERN European Organization for Nuclear Research)
Mathematics, Computing, and Information Processing
article

GRSC Summary Paper: From Real Completeness to Finite Readability

Wangyue
article en

Abstract

This standalone summary paper presents the cumulative arithmetic-closure judgement developed across GRSC Papers16-62. It follows the progression from finite reading units and ledgered operations through projection certificates, obstruction ledgers, finite closure networks, presentation packages, Seal(M,G), and StableFiniteHigherInterface(H). The paper concludes that the background presupposition of real-number completeness cannot serve as a background presupposition in the arithmetic universe, and introduces the quantized real domain at the endpoint of the judgement chain. The archive contains synchronized Markdown, TeX, and PDF editions together with a file manifest and the documentation license.

Zenodo (CERN European Organization for Nuclear Research)
Quality Education
Openalex Percentile: Top 6%
Mathematics, Computing, and Information Processing
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