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logical sum


Subject Philosophy

DOI: 10.1111/b.9781405106795.2004.x


Extract

L ogic A logical sum results from the disjunction of two propositions ( p → q ), or from the union of two sets . It is the inclusive sense of the connective “or,” that is, “ p or q or both” (rather than the exclusive sense of “or,” that is, “ p or q , but not both”). The logical sum is contrasted to the logical product, which results from the conjunction of two propositions ( p → q ), or from the intersection of two sets. The logical product is the truth-functional compound of p and q , that is, its truth-value is determined by the truth-value of p , the truth-value of q , and the logical connective “and.” “Frege and Russell introduced generality in association with logical product or logical sum.” Wittgenstein, Tractatus ... log in or subscribe to read full text

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