complementarity

LOGIQUE QUANTIQUE ET INTRICATION (pages 303-318)

Submitted by logos on Tue, 09/30/2014 - 07:36
paper title: 

LOGIQUE QUANTIQUE ET INTRICATION (pages 303-318)

paper type: 
article
paper author: 

Pierre UZAN

paper author family name: 

UZAN

paper abstract: 

ABSTRACT: Due to the failure of the classical principles of bivalence and verifunctionality, the logic of experimental propositions relative to quantum systems cannot be interpreted in Boolean algebras. However, we cannot say neither that this logic is captured by orthomodular lattices, as claimed by many authors along the line of Birkhoff’s and von Neumann’s standard approach. For the alleged violation of distributivity is based on the possibility of combining statements relative to complementary contexts, which does not refer to any experience and, consequently, has no meaning. Indeed, quantum logic should be interpreted in partial, transitive Boolean algebras whose compatibility relation limits the application of the connectives within each of its Boolean sub-algebras, which refer to partial, classical descriptions. Moreover, this approach of quantum logic makes it possible to deal with composite systems, which was not possible to do within the standard approach, and then to deal with the fundamental notion of quantum entanglement. The latter notion can be represented by a series of axioms of the object language that restrict the set of experimental statements bearing on a composite system, while its close link to the notion of complementarity can be expressed in the metalanguage.          

paper issue: 
17

COMPLEMENTARITY AND ANTINOMY (pages 639-652)

Submitted by logos on Tue, 12/27/2011 - 12:53
paper title: 

COMPLEMENTARITY AND ANTINOMY (pages 639-652)

paper type: 
history of epistemology
paper author: 

Teodor DIMA

paper author family name: 

DIMA

paper abstract: 

ABSTRACT: In this study we present some contributions of the logician and philosopher Petre Botezatu (27.02.1911-01.12.1981), who turned the idea of complementarity, formulated by Niels Bohr for the interpretation of the wave-particle structure of the quantum world, into an ordering principle of his work. Thus, he understood general logic as a synthesis in which the style of classical logic is complementary to the style of the 20th century logic. He didn’t give up either the mathematical modelling of logical language or the conceptual description through natural language. Thus, natural operational logic was created. Then Petre Botezatu assessed the achievements and failures of deduction in order to build the notion of methodological antinomy, and formulated five antinomies of axiomatization and five antinomies of formalization. The main purpose of this study is to present and interpret them.

paper issue: 
6

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