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Notes: 10/28/10 A compound proposition is any prop with a connective in it. And= & (CONJUCTION) Or = v (DISJUCTION) NOT= ~ (NEGATION) IF THEN= (CONDITIONAL) IF AND ONLY IF= ↔ (BI-CONDITIONAL) But= & When you ~ a proposition in the truth table you switch from T to F or F to T when constructing truth-tables Rule: The same variable can only be used for the same proposition Different variables can be used for either the same proposition or different propositions. I. Abbreviations of Propositions: to abbreviate propositions, we use CAPITAL letters, connective symbols and parentheses. II. Abbreviations versus Propositional Forms III. Computing the Truth-Values of Compounds Propositions a. If we know the truth-values of each part of a compound proposition, we can
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Unformatted text preview: use the 5 basic truth tables to determine the truth-value of the compound proposition. IV. A Method of Computing the Truth-Value of Complex Propositions a. Replace the abbreviations with their truth values b. Use the 5 truth tables to calculate the truth-value of the smallest compound proposition and work your way out. V. Constructing Truth-Tables for Complex Propositional Forms a. Under what conditions are instances of ‘~(p & ~q) v r’ true of false? b. We can use the truth-tables for the five connectives to develop a truth-table for this and other complex propositional forms c....
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