On Orthomodular Lattices
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The paper On complemented lattices was the third paper in the new theory of orthomodular lattices which started in 1936 with Birkhoff and von Neumann’s idea of developing a new many-valued logic for quantum mechanics by using the lattice of closed subspaces C(H) of a Hilbert space H as the valuation lattice.
[1] J. Neumann,et al. The Logic of Quantum Mechanics , 1936 .
[2] Kôdi Husimi. Studies on the Foundation of Quantum Mechanics. I , 1937 .
[3] Hans Arwed Keller,et al. Ein nicht-klassischer Hilbertscher Raum. , 1980 .
[4] Gudrun Kalmbach. Measures and Hilbert Lattices , 1986 .
[5] On Complemented Lattices , 1990 .