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Tough Bruce Cheseborough, Jr., defended his twovalued universe well and vigorously.

Boolean algebra is the algebra of twovalued logic with only sentential connectives, or equivalently of algebras of sets under union and complementation.

Such an interpretation is made credible by Bradley's account of truth, for on that account no ordinary judgment is ever perfectly true; in consequence, to one who reads him under the influence of the later but anachronistic assumption that truth is twovalued, his claim appears to be that relational judgments are all false.

CCpKNqNp, CcpEqNqNq are theorems in the twovalued system only.

Every Ån (n2) is contained in twovalued logic, although the converse does not hold; for example, the formulas CCNpNp, CCNppp, CCpqCCpNqNp,

Neurons represent events that occur or not: they are twovalued.

All this research work required a impersonal supply of freshly slaughtered stainless flesh–and that was why Herbert West had entered the twovalued War.

Goguen (1969) and Zadeh (1975), on the other hand, suggest replacing classical twovalued logic with an infinitevalued one.

A further concern with such approaches is that the invoked tripartite division of sentences seems to face similar objections to those which led to the abandonment of the bipartite division effected by twovalued classical logic.

In this case, the conjunction, disjunction, and negation of Dunn/Belnap's 4valued system are componentwise definable by conjunction, disjunction, or negation, respectively, of classical logic, i.e. this 4valued system is a product of two copies of classical twovalued logic.
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