lect03 - INTRO LOGIC DAY 03 1 Schedule for Unit 1 Day 1 Day...

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1 1 INTRO LOGIC DAY 03 2 Schedule for Unit 1 Intro Day 1 Chapter 4 Day 7 EXAM #1 Day 8 Chapter 4 Day 6 Chapter 4 Day 5 Chapter 3 Day 4 Chapter 2 Day 3 Chapter 1 Day 2 40% of Exam 1 60% of Exam 1 warm-up
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2 3 Chapter 2 Sentential Logic 4 Review An argument is valid or invalid purely in virtue of its form . Form is a function of the arrangement of the terms in the argument, where the LOGICAL TERMS play a primary role.
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3 5 Classical Syllogistic Logic Logical terms Example Arguments all some no are not all X are Y all Y are Z / all X are Z all X are Y no Y are Z / no X are Z all X are Y some X are not Z / some Y are not Z 6 Sentential Logic In sentential logic the logical terms are statement connectives
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4 7 What is a Statement Connective? A statement connective (or simply, a connective ) is an "incomplete" expression – i.e., an expression with one or more blanks such that, whenever the blanks are filled by statements , the resulting expression is also a statement . connective statement 2 statement 1 statement 3 8 Example 1 AND S 2 S 1 AND grass is green snow is white AND it is sleeting it is raining AND 3+3 = 6 2+2 = 4
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5 9 1-Place, 2-Place, … a 1-place connective has 1 blank a 2-place connective has 2 blanks a 3-place connective has 3 blanks etc. 10 Examples – 1-place S IT IS FALSE THAT S IT IS POSSIBLE THAT S Jay BELIEVES THAT S Kay HOPES THAT
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6 11 Examples – 2-place AND S 2 S 1 OR S 2 S 1 IF S 2 S 1 ONLY IF S 2 S 1 IF THEN S 2 S 1 UNLESS S 2 S 1 12 Examples – 3-place S 2 OTHERWISE IF S 3 S 1 S 2 IN WHICH CASE UNLESS S 3 S 1
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7 13 Atoms and Molecules A compound (molecular) statement is one that is constructed from
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lect03 - INTRO LOGIC DAY 03 1 Schedule for Unit 1 Day 1 Day...

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