Semantic of Logical Connective in Quantum Logic

Author(s):

Siavash Assadi

Message:
Abstract:
In quantum logic، each proposition is as a Hilbert closed subspace. So، negation of a proposition is as orthocomplement of a closed subspace and conjunction and disjunction of two propositions are respectively as intersection، and supremum of two closed subspaces. The purpose of this paper، while explication these cases، is definition of semantic of connective in algebraic and Kripkean methods and explanation the relation between these semantics and physical world.
Keywords:

Quantum logic , Connective , Hilbert space , ortholattice , algebraic realization , Kripkean realization

Language:
Persian
Published:
journal of Applied Physics, Volume:2 Issue: 1, 2012
Pages:
5 to 22
https://www.magiran.com/p1324056  
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