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# lect05 - INTRO LOGIC DAY 05 1 Schedule for Unit 1 Day 1 Day...

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1 1 INTRO LOGIC DAY 05 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 60% of Exam 8 arguments 5 pts each 12 translations 5 pts each

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2 3 CHAPTER 4 TRANSLATIONS IN SENTENTIAL LOGIC 4 Basic Idea In order to uncover logical forms , we paraphrase English sentences so that they contain only standard connectives . We also use special abbreviations and special punctuation.
3 5 Abbreviation Scheme 1. atomic sentences are abbreviated by upper case letters (of the Roman alphabet). 2. standard connectives are abbreviated by special symbols (logograms). 3. compound sentences are abbreviated by algebraic combinations of 1 and 2. 6 Standard Connectives symbol connective if – then not or & and

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4 7 Non-Standard Connectives a few examples … but … … although … … or … but not both neither … nor … … if … … only if … … if and only if … … unless … … is necessary for … … is sufficient for … … if … otherwise … …unless…in which case 8 Simple Transformations Some simple sentences are straightforwardly equivalent to compound sentences. Jay is a student and Kay is a student Kay is a rich student J & K R & S Jay and Kay are students Kay is rich and Kay is a student
5 9 Pitfall #1 Kay is a former and Kay is a student F & S Kay is a former student 10 Pitfall #2 Jay and Kay are married ambiguous two (or more) meanings

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6 11 aside ambi guous
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