Orthomodular logic represented by a complete orthomodular lattice has been
studied as a pertinent generalization of the two-valued logic, Boolean-valued
logic, and quantum logic. In this paper, we introduce orthomodular logic valued
models for set theory generalizing quantum logic valued models introduced by
Takeuti as well as Boolean-valued models introduced by Scott and Solovay, and
prove a g...
Butsuri 64(5) 349-353 May 2009 [Refereed][Invited]
In his paper entitled "Studies on the Foundation of Quantum Mechanics. I" (1937), Kodi Husimi discovered the orthomodular law, a universally valid fundamental law of quantum logic. In the 1960's this replaced the modular law that von Neumann had proposed with Birkhoff and extensively studied as a fundamental law of quantum logic. Since then, the orthomodular law has been studied as the central ...
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