An extended propositional logic
Vol. 10 No. 1 (2015) P.73~P.100
Motivated by quantum mechanics we discuss an extended propositional logic (EPL)
basing its syntax on partitions of sets. Every complete partition define a context and in
every context EPL reduces to a classical propositional logic. Partitions lead to a notion
of incompatibility expressing that knowledge cannot be refined without changing context.
We also deal with interpretations, tautologies and semantic consequences in EPL.
nonclassical propositional logic, foundations of quantum mechanics, contexts.
MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 03B60, 81P10, 81P16.
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Revised : 2014-11-06