Identity in Physics: A Historical, Philosophical, and Formal Analysis
1. Introduction 2. Individuality in Classical Physics 3. Quantum Statistics and Non-Individuality 4. Individuality and Non-Individuality in Quantum Mechanics 5. Names, Nomological Objects, and…
On a Quasi-Set Theory
- D. Krause
- PhilosophyNotre Dame J. Formal Log.
- 1 June 1992
The main features of a theory that enables us to deal, in terms of a set theory, with collections of indistinguishable objects are presented and the concept of "identity" in the underlying logical apparatus is restricted.
Q-spaces and the Foundations of Quantum Mechanics
- G. Domenech, F. Holik, D. Krause
- Philosophy
- 31 March 2008
Our aim in this paper is to take quite seriously Heinz Post’s claim that the non-individuality and the indiscernibility of quantum objects should be introduced right at the start, and not made a…
Identity in Physics
- D. Krause, J. Arenhart
- Philosophy
- 22 June 2006
Drawing on philosophical accounts of identity and individuality, as well as the histories of both classical and quantum physics, this book explores two alternative metaphysical approaches to quantum…
Contradiction, Quantum Mechanics, and the Square of Opposition
- J. Arenhart, D. Krause
- Philosophy
- 28 March 2014
We discuss the idea that superpositions in quantum mechanics may involve contradictions or contradictory properties. A state of superposition such as the one comprised in the famous Schrodinger’s…
No Labeling Quantum Mechanics of Indiscernible Particles
- G. Domenech, F. Holik, L. Kniznik, D. Krause
- Mathematics
- 22 April 2009
Our aim in this paper is to show an example of the formalism we have developed to avoid the label-tensor-product-vector-space-formalism of quantum mechanics when dealing with indistinguishable…
Axioms for collections of indistinguishable objects
- D. Krause
- Philosophy
- 1996
The search for axioms like those of set theories for dealing with collections of indistinguishable elementary particles was posed by Yu. Manin, in 1974, as one of the important problems of present…
Remarks on the Theory of Quasi-sets
Quasi-set theory has been proposed as a means of handling collections of indiscernible objects. Although the most direct application of the theory is quantum physics, it can be seen per se as a…
The logic of complementarity
This paper is the sequel of a previous one where we have introduced a paraconsistent logic termed paraclassical logic to deal with 'complementary propositions'. Here, we enlarge upon the discussion…
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