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Revision as of 03:41, 24 February 2013
, 03:41, 24 February 2013→6.37. Propositional Types: markup
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In this section, I describe a formal system of "type expressions" that are analogous to formulas of propositional logic, and I discuss their use as a calculus of predicates for classifying, analyzing, and drawing typical inferences about n place relations, in particular, for reasoning about the results of operations indicated or performed on relations and about the properties of their transformations and combinations.
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===6.37. Propositional Types===
===6.37. Propositional Types===
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+In this Section I describe a formal system of ''type expressions'' that are analogous to formulas of propositional logic, and I discuss their use as a calculus of predicates for classifying, analyzing, and drawing typical inferences about <math>n\!</math>-place relations, in particular, for reasoning about the results of operations indicated or performed on relations and about the properties of their transformations and combinations.
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−Definition. Given a cartesian product XxY, an ordered pair <x, y> C XxY has the type S.T, written <x, y> : S.T, iff x C S c X and y C T c Y. Notice that an ordered pair can have many types.
Definition. Given a cartesian product XxY, an ordered pair <x, y> C XxY has the type S.T, written <x, y> : S.T, iff x C S c X and y C T c Y. Notice that an ordered pair can have many types.
