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Beyond Quantum Individuals: Quasi-Sets and the Philosophy of Quantum Logics
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DOI：10.1007/s10773-026-06318-0.png)
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Abstract
En 中文
Standard quantum logics are typically defined over the orthomodular lattice associated with Hilbert space, yet there is no consensus on how this structure should be interpreted logically or ontologically. This paper offers a unified perspective on these issues by combining an epistemological three-layer model for scientific theories with quantum set theory. We argue that quasi-set theory is best understood not as an alternative semantics for quantum logics, but as an ontological framework operating at a different epistemological level: the ontological one. From this standpoint, the distinctive non-classical features of quantum logic are explained by representational assumptions about identity and individuality, rather than by positing any direct revisions of the logical principles themselves.
Keywords:
Quantum logic
Quasi-sets
Three-layer model
Identity
Indiscernibility
Quantum mechanics
Quantum objects
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