Sec12 - 1.2 1.2.1 Symbolic Logic Statement All logical...

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1.2 Symbolic Logic 1.2.1 Statement All logical reasoning is based on statement of fact. Defnition. A statement is a sentence that is either true or false. Example 1: Which of the following are statements? 1. The 2008 Summer Olympic Games will be in Beijing, China. ( ) 2. Seinfeld was the best TV comedy of all time. ( ) 3. The sky is blue. ( ) 4. January is the second month of the year. ( ) 5. The picture is beautiful. ( ) 6. I am telling a lie. ( ) Statement of fact are diFerent from questions asking for information, such as: 7. Did you watch the Godfather? ( ) 8. What is the name of the town? ( ) Statement of fact are also diFerent from instructions that tell people what to do, such as 9. Open the book. ( ) 10. Turn left at the crossroads. ( ) Symbols for Statements Traditionally, statements be represented by lower case letters, such as p, q, r, s, t. For example, we can put: p = Bangkok is in Thailand. q = The temperature falls in winter. r = A rose is a ±ower. 1.2.2 Compound Statements and Logical Connectives Defnition. A compound statement is a sentence that contains one or more simpler statements. Compound statements can be formed by
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This note was uploaded on 02/05/2012 for the course MAT 110 taught by Professor Staff during the Summer '08 term at S. Alabama.

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Sec12 - 1.2 1.2.1 Symbolic Logic Statement All logical...

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