Non-deterministic semantics for quantum states

JP Jorge, F Holik - Entropy, 2020 - mdpi.com
In this work, we discuss the failure of the principle of truth functionality in the quantum
formalism. By exploiting this failure, we import the formalism of N-matrix theory and non-
deterministic semantics to the foundations of quantum mechanics. This is done by
describing quantum states as particular valuations associated with infinite non-deterministic
truth tables. This allows us to introduce a natural interpretation of quantum states in terms of
a non-deterministic semantics. We also provide a similar construction for arbitrary …

Non-deterministic semantics for quantum states

J Juan Pablo, F Holik - Entropy, 2020 - philsci-archive.pitt.edu
In this work, we discuss the failure of the principle of truth functionality in the quantum
formalism. By exploiting this failure, we import the formalism of N-matrix theory and non-
deterministic semantics to the foundations of quantum mechanics. This is done by
describing quantum states as particular valuations associated with infinite non-deterministic
truth tables. This allows us to introduce a natural interpretation of quantum states in terms of
a non-deterministic semantics. We also provide a similar construction for arbitrary …
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