If the original statement is true, then its negation will be false and vice versa Compound Statements: o Example: : Roses are can be used to test the truth values for negations, compound statements, and conditional statements
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Chapter 2: The Logic of Compound Statements 2 1: Logical Forms and Examples 1 Washington, DC, is the capital of United States 2 Annapolis is the capital
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Truth Values In Example 2 we built compound sentences out of component statements and the terms not, and, and or If such sentences are to be statements,
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A truth functionally compound statement is a statement whose truth or falsity is a function of the truth or falsity of one or For example, the statement Athens and
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Compound statement is a statement built out of simple The negation of and AND statement is logically equivalent to the Example of invalid argument form:
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Some examples of mathematical statements are: five is less than eight; a positive In mathematics as in any language, compound statements are formed by
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If the original statement is true, then its negation will be false and vice versa Compound Statements: o Example: : Roses are can be used to test the truth values for negations, compound statements, and conditional statements
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Example 1: Write Negations Write the negation of the statement All houses have two stories Page 3 Compound Statements Statements consisting of two or
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3 2 Compound Statements and Connectives Write each compound statement below in symbolic form: a Example: Translating from English to Symbolic
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