Presuppositional Governance and the Misplacement of Gödelian Incompleteness

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Authors: Ricky Dean Jones
Cited by: 0

Abstract

Gödel's incompleteness theorems are routinely invoked as evidence of intrinsic limits on reasoning, computation, and governance in domains far removed from their original formal setting. This paper argues that such invocations rely on a category error: they attribute to formal reasoning failures that arise instead from ungoverned presuppositional admission. Gödel's theorems apply to fixed, effectively axiomatized formal systems of sufficient arithmetic strength; they do not address how axioms, languages, or premises are selected, constrained, or revised prior to formalisation. The paper introduces the concept of presuppositional governance: a pre-logical layer that governs admissibility conditions before formal reasoning begins. It is shown that many Gödelian extrapolations collapse distinct layers of analysis and mislocate incompleteness downstream of a failure that occurs upstream. When presuppositional governance is made explicit, Gödelian incompleteness no longer functions as a general impossibility result for reasoning or governance, but as a bounded property of formal systems under specified admissibility conditions.

Fields of Study & Subjects

Philosophy and Theoretical Science Logic Reasoning and Knowledge programming and type systems

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
6 January 2026
Language
EN
Document type
Preprint