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Learn about the use of connecting words "and" and "or" in symbolic logic, and how they determine the validity of compound statements. Explore the truth table for conjunction and disjunction and its application in determining arguments' validity.
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Symbolic Logic CONJUNCTION and DISJUNCTION
COMPOUND STATEMENT • When two statements are combined by the connecting words and / or • The word used to connect a compound statement will determine the argument John has to take Math 120 andPrecalculus John has to take Math 120 orPrecalculus
Connective Conjunction: “and” Other words and phrases equal to “and” also, too both in addition (to) plus including all but however as well as with along with together with
Connective Disjunction: “or” Other words and phrases equal to “or” either otherwise unless alternatively on the other hand nevertheless instead(of) else
SYMBOLS • In order to put the statement into a formula, symbols are used to replace the words. Connective Logic Operation Symbol and conjunction T or disjunction V
Truth Table • Once you have broken down the argument into symbolic form, you apply the truth table to determine the validity of the argument. Truth Table for a Conjunction True statement when both p and q are true
Truth Table Truth Table for a Disjunction False statement when both p and q are false