Schrödinger Logics

Studia Logica 53 (4):533 - 550 (1994)
Schrödinger logics are logical systems in which the principle of identity is not true in general. The intuitive motivation for these logics is both Erwin Schrödinger's thesis (which has been advanced by other authors) that identity lacks sense for elementary particles of modern physics, and the way which physicists deal with this concept; normally, they understand identity as meaning indistinguishability (agreemment with respect to attributes). Observing that these concepts are equivalent in classical logic and mathematics, which underly the usual physical theories, we present a higher-order logical system in which these concepts are systematically separated. A 'classical' semantics for the system is presented and some philosophical related questions are mentioned. One of the main characteristics of our system is that Leibniz' Principle of the Identity of Indiscernibles cannot be derived. This fact is in accordance with some authors who maintain that quantum mechanics violates this principle. Furthermore, our system may be viewed as a way of making sense some of Schrödinger's logical intuitions about the nature of elementary particles.
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DOI 10.2307/20015750
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References found in this work BETA
Alonzo Church (1944). Introduction to Mathematical Logic. London, H. Milford, Oxford University Press.
Steven French & Michael Redhead (1988). Quantum Physics and the Identity of Indiscernibles. British Journal for the Philosophy of Science 39 (2):233-246.
Steven French (1989). Identity and Individuality in Classical and Quantum Physics. Australasian Journal of Philosophy 67 (4):432 – 446.

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Olimpia Lombardi & Mario Castagnino (2008). A Modal-Hamiltonian Interpretation of Quantum Mechanics. Studies in History and Philosophy of Science Part B 39 (2):380-443.

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