David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
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.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
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.
Newton Costa, Olimpia Lombardi & Mariano Lastiri (2013). A Modal Ontology of Properties for Quantum Mechanics. Synthese 190 (17):3671-3693.
Newton da Costa, Olimpia Lombardi & Mariano Lastiri (2013). A Modal Ontology of Properties for Quantum Mechanics. Synthese 190 (17):3671-3693.
Mauri Cunha do Nascimento, Décio Krause & Hércules Araújo Feitosa (2011). The Quasi-Lattice of Indiscernible Elements. Studia Logica 97 (1):101-126.
Similar books and articles
Newton C. A. Costdaa & Décio Krause (1994). Schrödinger Logics. Studia Logica 53 (4).
Itala M. Loffredo D'Ottaviano & Hércules de A. Feitosa (2000). Paraconsistent Logics and Translations. Synthese 125 (1/2):77 - 95.
Costas Drossos & Daniele Mundici (2000). Many-Valued Points and Equality. Synthese 125 (1-2):77-95.
Slobodan Perovic (2006). Schrödinger's Interpretation of Quantum Mechanics and the Relevance of Bohr's Experimental Critique. Studies in History and Philosophy of Science Part B 37 (2):275-297.
Krystyna Misiuna (2011). O pewnej logice informacji. Filozofia Nauki 1.
F. A. Muller & Simon Saunders (2008). Discerning Fermions. British Journal for the Philosophy of Science 59 (3):499-548.
Steven French (2006). Identity in Physics: A Historical, Philosophical, and Formal Analysis. Oxford University Press.
Robert C. Hilborn & Candice L. Yuca (2002). Identical Particles in Quantum Mechanics Revisited. British Journal for the Philosophy of Science 53 (3):355-389.
D. M. Gabbay (1996). Fibred Semantics and the Weaving of Logics Part 1: Modal and Intuitionistic Logics. Journal of Symbolic Logic 61 (4):1057-1120.
Elio Conte (2012). On Some Considerations of Mathematical Physics: May We Identify Clifford Algebra as a Common Algebraic Structure for Classical Diffusion and Schrödinger Equations? Advanced Studies in Theoretical Physics 6 (26):1289-1307.
Renato A. Lewin, Irene F. Mikenberg & María G. Schwarze (1997). On the Algebraizability of Annotated Logics. Studia Logica 59 (3):359-386.
Slobodan Perovic (2008). Why Were Two Theories (Matrix Mechanics and Wave Mechanics) Deemed Logically Distinct, and yet Equivalent, in Quantum Mechanics? In Christopher Lehrer (ed.), First Annual Conference in the Foundations and History of Quantum Physics. Max Planck Institute for History of Science.
Added to index2011-05-29
Total downloads4 ( #254,164 of 1,100,791 )
Recent downloads (6 months)1 ( #289,565 of 1,100,791 )
How can I increase my downloads?