Full Text

truth-function


Subject Philosophy

DOI: 10.1111/b.9781405106795.2004.x


Extract

Logic A relationship that holds if the truth or falsity of a compound depends on the truth or falsity of its components. A compound of this sort, composed of propositional variables and truth-functional connectives , is a truth-functional formula . If propositions are substituted for the propositional variables in a truth-functional formula, we obtain a truth functional statement , and its truth and falsity is determined entirely by the truth or falsity of its constituent statements and by the way in which the constituent statements are combined by truth-functional connectives. If all of its constants are truth-functional, a system of logic is truth-functional. “The whole meaning of a truth-function is exhausted by the statement of the circumstances under which it is true or false.” Russell, Introduction to Mathematical Philosophy ... log in or subscribe to read full text

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Table of Contents

The Blackwell Dictionary of Western Philosophy



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