Truth Values and the Value of Truth
Ernest Adams
Abstract
Ernest Adams
Abstract
This paper explores the ways in which truth is better than falsehood, and suggests that, among other things, it depends on the kinds of proposition to which these values are attached. Ordinary singular propositions like “It is raining” seem to fit best the bivalent “scheme” of classical logic, the general proposition “It is always raining” is more appropriately rated according to how often it rains, and a “practically vague” proposition like “The lecture will start at 1” is appropriately rated according to its nearness to exactness. Implications for logic of this “rating system” are commented on.
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This paper explores the ways in which truth is better than falsehood, and suggests that, among other things, it depends on the kinds of proposition to which these values are attached. Ordinary singular propositions like “It is raining” seem to fit best the bivalent “scheme” of classical logic, the general proposition “It is always raining” is more appropriately rated according to how often it rains, and a “practically vague” proposition like “The lecture will start at 1” is appropriately rated according to its nearness to exactness. Implications for logic of this “rating system” are commented on.
Key concepts: Proposition, Truth value, Epistemology, Tautology (logic), Value (mathematics), Mathematics, Philosophy, Mathematical economics