Graduate studies at Western
Synthese 107 (1):83 - 143 (1996)
|Abstract||The basic purpose of this essay, the first of an intended pair, is to interpret standard von Neumann quantum theory in a framework of iterated measure algebraic truth for mathematical (and thus mathematical-physical) assertions — a framework, that is, in which the truth-values for such assertions are elements of iterated boolean measure-algebras (cf. Sections 2.2.9, 5.2.1–5.2.6 and 5.3 below).The essay itself employs constructions of Takeuti's boolean-valued analysis (whose origins lay in work of Scott, Solovay, Krauss and others) to provide a metamathematical interpretation of ideas sometimes considered disparate, heuristic, or simply ill-defined: the collapse of the wave function, for example; Everett's many worlds'-construal of quantum measurement; and a natural product space of contextual (nonlocal) hidden variables.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Federico Laudisa (1997). Contextualism and Nonlocality in the Algebra of EPR Observables. Philosophy of Science 64 (3):478-496.
Henry Stapp, Comments on Shimony's “An Analysis of Stapp's 'A Bell-Type Theorem Without Hidden Variables'”.
Matthew Donald (1992). A Priori Probability and Localized Observers. Foundations of Physics 22 (9):1111-1172.
Miklos Redei (1991). Bell's Inequalities, Relativistic Quantum Field Theory and the Problem of Hidden Variables. Philosophy of Science 58 (4):628-638.
Abner Shimony (1984). Contextual Hidden Variables Theories and Bell's Inequalities. British Journal for the Philosophy of Science 35 (1):25-45.
Arthur I. Fine (1968). Logic, Probability, and Quantum Theory. Philosophy of Science 35 (2):101-111.
Adonai S. Sant'anna (2000). Elementary Particles, Hidden Variables, and Hidden Predicates. Synthese 125 (1-2):233 - 245.
Miklós Rédei (1987). Reformulation of the Hidden Variable Problem Using Entropic Measure of Uncertainty. Synthese 73 (2):371 - 379.
Added to index2009-01-28
Total downloads8 ( #131,771 of 739,303 )
Recent downloads (6 months)1 ( #61,243 of 739,303 )
How can I increase my downloads?