Admissibility and the Non Existence of Intrinsic Attribution Predicates

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Authors: Amos Maley
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Abstract

This paper proves that no admissible formal system can contain intrinsic attribution predicates—predicates that purport to ascribe properties, roles, meanings, or identities to objects independently of admissible standing, scope, or evaluative context. Any attempt to treat attribution as an internal, self-grounding feature of objects is shown to be structurally incoherent. The argument proceeds by exhaustion. It demonstrates that intrinsic attribution predicates inevitably smuggle in illicit meta-foundational commitments: hidden observers, unlicensed scope transport, or implicit totality assumptions. When these commitments are made explicit, they collapse admissibility, destroy standing conservation, or trivialize the evaluation regime. No reformulation—logical, semantic, model-theoretic, or category-theoretic—survives admissibility constraints. Attribution is shown to be necessarily extrinsic and gate-mediated: predicates only have standing when licensed by admissible evaluation structures. There is no coherent notion of an object “carrying” its own attributions prior to or independent of such licensing. Attempts to ground truth, reference, meaning, or identity intrinsically are therefore ruled out in principle. The result is strictly negative and non-constructive. The paper introduces no new primitives and proposes no alternative attribution mechanisms. Its contribution is to close a foundational loophole that underlies many persistent confusions in logic, semantics, philosophy of language, and foundational physics—by proving that intrinsic attribution is not merely false in practice, but impossible in principle under admissible reasoning. This result forms part of a broader closure program that systematically eliminates illegitimate foundational repair strategies, clarifying the hard boundaries of admissible mathematical and conceptual structure.

Fields of Study & Subjects

Philosophy and Theoretical Science Logic Reasoning and Knowledge Epistemology Ethics and Metaphysics

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
8 February 2026