J

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 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

Chapter 1 Basic Logical Concept

Chapter 2 Analyzing Arguments

Assignment: 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

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

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

Assignment: 1. Homework for H-1; 2.

Chapter 4 Definition

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 5 Fallacies

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

Chapter 6 Categorical Propositions

6.1-6.7 The Theory of Deduction-The Square of Opposition

6.8 Symbolism and Diagrams for Categorical Proposition

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 7 Categorical Syllogism

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 8 Syllogisms in Ordinary Language (read by yourselves)

Chapter 9 Symbolic Logic

Truth Table 1-5

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

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

(The above assignments due the first Monday after Spring Break)

Chapter 10 The Method of Deduction

Assignment (The Rule of Reference): 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;

Worksheet 1(The Rule of Reference), 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

(try by yourself before you look at my answers)

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

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)

(The above assignments due after Easter Break)

You have your second test on March 26 (W)

Starting from the end of Venn Diagram, everything the above will be covered in your second exam.

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.)

Handout (Conditional Proof): p.61. Ex. 2, 4, 5, 6

Handout (Indirect Proof): p. 54 Ex 1, 2, 3, 4, 5,

(The above assignments due Monday April 7)

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

Worksheet 6

Assignment (Assumption): Handout: Ex. Assumption

Chapter 10 Quantification Theory

Copi, 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 April 18)

Outline 5 (Ch.6)

Outline 7

Outline 6 (Ch.7)