David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
We discuss some logico-mathematical systems which deviate from classical logic and mathematics with respect to the concept of identity. In the first part of the paper we present very general formulations of the principle of identity and show how they can be ‘relativized’ to objects and to properties. Then, as an application, we study the particular cases of physics (the transgression of the principle of identity by quantum objects) and logic (some logics in which the principle of replacement is not valid are presented). In the last part of the paper, we discuss the alphabar logics, that is, those logical systems which violate a formulation of one of the most fundamental versions of the principle of identity; in these logics, there are formulas which are not deducible from themselves.
|Keywords||No keywords specified (fix it)|
No categories specified
(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
No citations found.
Similar books and articles
R. Brandt & Jaegwon Kim (1967). The Logic of the Identity Theory. Journal of Philosophy 66 (September):515-537.
Simon Saunders (2003). Physics and Leibniz's Principles. In Katherine Brading & Elena Castellani (eds.), Symmetries in Physics: Philosophical Reflections. Cambridge University Press. 289--307.
Raja A. Bahlul (1988). Ockham's Razor and the Identity of Indiscernables. Philosophy Research Archives 14:405-414.
Robin Jeshion (2006). The Identity of Indiscernibles and the Co-Location Problem. Pacific Philosophical Quarterly 87 (2):163–176.
Rafael De Clercq (2005). A Criterion of Diachronic Identity Based on Locke's Principle. Metaphysica 6 (1):23-38.
Alberto Cortes (1976). Leibniz's Principle of the Identity of Indiscernibles: A False Principle. Philosophy of Science 43 (4):491-505.
Harold W. Noonan (1985). The Closest Continuer Theory of Identity. Inquiry 28 (1-4):195 – 229.
Jean-Yves Beziau (1996). Identity, Structure and Logic. Bulletin of the Section of Logic 25:89-9.
Newton C. A. Costdaa & Décio Krause (1994). Schrödinger Logics. Studia Logica 53 (4).
Newton C. A. da Costa & Décio Krause (1994). Schrödinger Logics. Studia Logica 53 (4):533 - 550.
Added to index2009-01-28
Total downloads29 ( #64,368 of 1,101,944 )
Recent downloads (6 months)2 ( #192,006 of 1,101,944 )
How can I increase my downloads?