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The principle of harmony

Analysis 49 (1):21-22 (1989)

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  1. Classical harmony: Rules of inference and the meaning of the logical constants.Peter Milne - 1994 - Synthese 100 (1):49 - 94.
    The thesis that, in a system of natural deduction, the meaning of a logical constant is given by some or all of its introduction and elimination rules has been developed recently in the work of Dummett, Prawitz, Tennant, and others, by the addition of harmony constraints. Introduction and elimination rules for a logical constant must be in harmony. By deploying harmony constraints, these authors have arrived at logics no stronger than intuitionist propositional logic. Classical logic, they maintain, cannot be justified (...)
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