Notes on Introduction to Logic -- Phil A101

William Jamison - Instructor

Lecture 7:

 

CHAPTER 6

 

Propositional Logic: Arguments 251

 

6.1 Truth-Functional Validity 252

 

6.2 Contradictory Premises and Tautological Conclusions 253

 

6.3 Abbreviating Truth-Functional Arguments 254

 

6.4 Schematizing Truth-Functional Arguments 255

 

Exercises 257

 

6.5 Testing Validity by Truth Tables 260

 

Exercises 269

 

6.6 The Short Truth Table Method 270

 

Exercises 272

 

6.7 Truth-Functional Arguments and Corresponding Conditionals 273

 

Exercises 276

 

6.8 The Propositional Calculus 276

 

6.9 Constructing a Formal  Proof 277

 

6.10 Inference Rules 281

 

Exercises 284

 

6.11 Rules of Thumb for Proof Construction 294

 

6.12 The Rule of Rigor 296

 

Exercises 297

 

6.13 The Replacement Rule 300

 

Exercises 304

 

6.14 Conditional Proof 321

 

Exercises 325

 

6.15 Indirect Proof 325

 

6.16 Deductive Completeness 327

 

Exercises 328

 

Summary 329

 

 

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