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Arroyo and Valvassori (2025) [3] utilize the ’Toolbox approach’ to metaphysics, applying Parsons’ Nuclear Meinongianism [ 8] to the problem of Quantum Metaphysical Indeterminacy (QI). They rigorously construct a reductio ad absurdum based on a central trilemma: (P1) Standard non-relativistic quantum mechanics entails QI; (P2) This QI is conceptually equiva- lent to Parsons’ notion of property incompleteness (MI); and (P3) Parsons’ Incompleteness- Entails-Nonexistence Principle (IENP) [10] is valid. This conjunction necessarily leads to the empirically false and ontologically untenable conclusion that quantum objects are nonexistent. Arroyo and Valvassori resolve this paradox by rejecting P3, thereby proposing a modified Meinongianism that accommodates existent-but-incomplete objects. This article argues that their diagnosis, while methodologically sound, is fundamentally mistaken in its target. The er- ror lies not in P3 (IENP)—which we argue is an essential, load-bearing component of Parsons’ meta-ontology separating existentia from fictionalia—but in the unexamined ’bridge thesis’ of P2. We demonstrate that QI and MI are conceptually distinct and ontologically incommensu- rable categories. QI, as evidenced by phenomena such as superposition and contextuality, is a positive, ontologically complete, non-classical state with verifiable causal efficacy. Conversely, MI is an ontic gap, a definitional absence. Consequently, the Parsonsian framework is not merely an ’instrument’ in need of modification, but an ontologically inapposite tool for the analysis of physical reality.
Kachkynbaev A. Z. 2025. The Error of the Instrument: Why Parsons’ Incompleteness and Quantum Indeterminacy are Ontologically Incommensurable Categories. PREPRINTS.RU. https://doi.org/10.24108/preprints-3113869