Abstract
IN THEIR WELL-KNOWN PAPER, Kochen and Specker (1967) introduce the concept of partial Boolean algebra (pBa) and show that certain (finitely generated) partial Boolean algebras arising in quantum theory fail to possess morphisms to any Boolean algebra (we call such pBa’s intractable in the sequel). In this note we begin by discussing partial Boolean algebras within a category-theoretic framework1; our analysis will result in what appear to be some new formulations of intractability in purely logical terms, and an open problem.
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