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Propositional Logic Propositional Logic Truth Functions Introduction Introduction In 6.1 we symbolized simple statements and applied operators to natural language in order to show the logical form of statements. In this section we will learn how to assess the truth of logical forms by defining the operators that compose them. Last, we will reveal various problems with our symbolic language in capturing the meaning of natural language. Truth-Functional Definitions of Truth-Functional Definitions of the Logical Operators the Logical Operators Logical operators are functional in that the truth value of a compound proposition is determined by the truth value of its components in relation to the definition of the operator. The definitions of the logical operators are presented in terms of statement variables, such as the lower-case letters p, q, r, and s. These variables stand for any possible statement, say A or (A B). Statement Forms Statement Forms Statement variables are used to construct ...
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