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Introdution to Logic

In a Republican nation, whose citizens are to be led by reason and persuasion and not by force, the art of reasoning becomes of the first importance.

--Thomas Jefferson

Syllabus

Texts:

M. I. Copi &C. Cohen Introduction to Logic

Handouts

Contents

(My lecture notes are based on Copi' s Introduction to Logic, 12th and 13th edition, e-logic. You need to read the text carefully in order to understand the lecture notes.)

Introduction

Syllabus, the course requirement and overview

& part of Chapter 1

Handout

Part One

Logic and Language

Section A: Reasoning

Chapter 1 Basic Logical Concept

Chapter 2 Analyzing Arguments

Assignment(13th Edition): 1) pp. 9-12, Ex 1.2: 2, 4, 6, 8, 10; 2)22-26: 2, 4, 6, 8, 10; 3) pp.49-50, Ex2.2: 1-10,

(12th Edition): 1) pp.9-12, Ex 2.1: 2, 4, 6, 8,10, 2) pp. 28, Ex.2.2: 1-10, 3) pp.38-42 Ex.I: 2, 3, 4, 5, 6, 7; Ex. II. 1, 2, 3, 4, 5, 6, 7, 8 9,10 ;

Assignment: Ex. 2.3 pp.46-48: 2, 4, 6, 8, 10

Section B: Informal Logic

Chapter 3 The Uses of Language and Definitions (Text Read by yourself)

Handout 1 The languages of Logic: the Basic Sentences of Primitive

Definition

Assignment (13th Edition): Handout 1

Assignment: 1) Ex. I. 2) Ex.II, pp-94-97. 2, 4, 6, 8, 10; 3) Ex.I, pp105; 4) Ex.I and II, p108; Ex.I, pp118-122, 2, 4, 6, 8, 10

Chapter 4 Fallacies

Assignment (13th Edition: Handout 1.1 and 1.2

Assignment: Ex I. pp136-139, 2, 4, 6, 8, 10; Ex I. pp163-165, 2, 4, 6, 8, 10

Outline 1 (Ch. 1& 2)

Ex. in the class-Numbering

Outline 2

Outline 3 (Ch. 4)

Outline 4 (Ch. 5)

Part Two

Deduction

Section A: Classical Logic

Chapter 5 Categorical Propositions

5.1-5.7 The Theory of Deduction-The Square of Opposition

5.8 Symbolism and Diagrams for Categorical Proposition

Assignment (13th Edition): p.193, 2, 4, 6, 8, 10; p. 222 2-15

Assignment: Ex I. pp182-183: 2, 4, 6, 8, 10; Ex I., pp186-187: 2, 4, 6, 8, 10; Ex I. pp.214: 2, 4, 6, 8, 10

Chapter 6 Categorical Syllogism

Assignment (Both 13th and 12th Editions): Handout-2 (Venn Diagram)

Assignment (13th Edition): pp243-244 Ex I (Venn Diagram): 2, 4, 6, 8, 10; Ex.II (Venn Diagram) 2, 3, 4, 5, 6, 7, 8, 9, 10; p. 271: 2, 4, 6, 8, 10

Assignment: pp.235-236 ExI (Venn Diagram): 2, 4, 6, 8, 10; Ex.II (Venn Diagram) 2, 3, 4, 5, 6, 7, 8, 9, 10; pp. 262-263: 2, 4, 6, 8, 10

Assignment: Handout: More Ex. All the even number

Chapter 7 Syllogisms in Ordinary Language (read by yourselves)

Section B: Modern Logic

Chapter 8 Symbolic Logic

Truth Table 1-5

Assignment (13th Edition): pp327-330 ExA: 1-10; ExB:1-10; ExC:1-10; ExD: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

Copi's, pp318-321, Ex.I: 1-10; Ex. II: 1-10; Ex. III: 1-10; Ex.IV: 2,4, 6, 8, 10, 12, 14, 16, 18, 20

Assignment (13th Edition): pp339-341: Ex 1: 2, 4, 6, 8, 10; Ex.II: , 4, 6, 8, 10; Ex. III: 2, 4, 6, 8, 10;

Assignment: pp329-331: Ex 1: 2, 4, 6, 8, 10; Ex.II: , 4, 6, 8, 10; Ex. III: 2, 4, 6, 8, 10;

Assignment: handout, "Symbolic Logic" pp. 14-15 ExI) 2. 4, 6, 8, 10 ; Ex. II: 2, 4, 6, 8, 10, 12; pp18-19. Ex. III) 2, 4, 6, 8, 10, 12, 14;

pp25-26 Ex.II: 2, 4, 6, 8, 10; Ex.III: 2, 4, 6, 8, 10; pp30-31:ExI: 2, 4, 6, 8, 10; ExII: 2, 4, 6, 8,10

Chapter 9 The Method of Deduction

Assignment (The Rule of Reference)(13th edition): Copi's pp. 379-380, Ex.I. 2, 4, 6, 8,10; pp.385, ExI. 2, 4, 6, 8, 10, 12, 14, 16, 18, 20; pp. 387Ex I. 2, 4, 6, 8, 10, 12, 14; pp.389-390 ExI. 2, 4, 6, 8, 10;

Assignment (The Rule of Reference)(12th edition): Copi's pp. 363-367, Ex.I. 2, 4, 6, 8,10; III. 2, 4, 6, 8, 10, 12, 14, 16, 18, 20; Ex IV. 2, 4, 6, 8, 10, 12, 14; Ex V. 2, 4, 6, 8, 10;

try by yourself before you look at my answers:

Worksheet 1(The Rule of Reference): 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ; Worksheet1.1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and Worksheet 1.2:1, 2, 3, 4, 5, 6,7, 8, 9,10

Assignment (The Rule of Replacement): Copi's 13th Edition pp.399-400, ExI.: 2, 4, 6, 8, 10; pp.409-410 Ex.I: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20; PP411-412 Ex I: 2, 4, 6, 8, 10; pp.413-415 Ex.V, 2, 4, 6, 8, 10. pp.416-417.Ex.I: 2, 4, 6, 8, 10

Assignment (The Rule of Replacement): Copi's pp.376-381, ExI. 2, 4, 6, 8, 10; Ex.III, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20; Ex IV, 2, 4, 6, 8, 10; Ex.V, 2, 4, 6, 8, 10. Ex.VI, 2, 4, 6, 8, 10

You have your second test on Nov 5 (M). Starting from the end of Truth Table, everything the above will be covered in your second exam.

Worksheet3 (The Rule of Replacement):1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Worksheet 2 (The Rule of Replacement): 1, 2,3, 4, 5, 6, 7, 8, 9, 10 (these are harder problems, do whatever you could. We will work on the problems in the class)

Handout (Symbolic Logic) p. 45, Ex. III. 2, 4, 6, 8,10, 12, 1416, 18, 22, 24, 26, 28, 30 (the Rule of Replacement continue-These are difficult proof. Some needs more than 20 steps.)

Worksheet 4 and 5 : Conditional Proof; and Hadout-2 Indirect Proof: p. 54 Ex 1, 2, 3, 4, 5,

To prove valid or invalid-13th Edition: Copi, p.423. Ex I. 2, 4, 6, 8, 10

To prove valid or invalid-12th Edition: Copi, p.387. Ex I. 2, 4, 6, 8, 10

(The above assignments due Monday Nov 7)

Chapter 10 Quantification Theory

Copi (13th Edition), pp452-453 ExI, 2, 4, 6, 8, 10; ExII 2, 4, 6, 8, 10ExIII, 2, 4, 6, 8, 10; pp. 462 ExI 2, 4, 6, 8, 10

Copi (12th Edition), pp414-416 ExI, 2, 4, 6, 8, 10; ExII 2, 4, 6, 8, 10ExIII, 2, 4, 6, 8, 10; pp. 423 ExI 2, 4, 6, 8, 10

(The above assignments due on Friday, Dec.4)

Worksheet 6

Assignment (Assumption): Handout: Ex. Assumption

(The above assignments due on Friday April 18)

Outline 5 (Ch.6)