You are here

Introduction to Logic

Publisher: 
Dover Publications
Number of Pages: 
330
Price: 
14.95
ISBN: 
0486406873
Date Received: 
Wednesday, July 12, 2006
Reviewable: 
Yes
Include In BLL Rating: 
Yes
Patrick Suppes
Publication Date: 
1999
Format: 
Paperback
Category: 
Monograph
Tags: 
BLL Committee
10/29/2010
BLL Rating: 

PREFACE

INTRODUCTION
PART I-PRINCIPLES OF INFERENCE AND DEFINITION
  1. THE SENTENTIAL CONNECTIVES
    1.1 Negation and Conjunction
    1.2 Disjunction
    1.3 Implication: Conditional Sentences
    1.4 Equivalence: Biconditional Sentences
    1.5 Grouping and Parentheses
    1.6 Truth Tables and Tautologies
    1.7 Tautological Implication and Equivalence
  2. SENTENTIAL THEORY OF INFERENCE
    2.1 Two Major Criteria of Inference and Sentential Interpretations
    2.2 The Three Sentential Rules of Derivation
    2.3 Some Useful Tautological Implications
    2.4 Consistency of Premises and Indirect Proofs
  3. SYMBOLIZING EVERYDAY LANGUAGE
    3.1 Grammar and Logic
    3.2 Terms
    3.3 Predicates
    3.4 Quantifiers
    3.5 Bound and Free Variables
    3.6 A Final Example
  4. GENERAL THEORY OF INFERENCE
    4.1 Inference Involving Only Universal Quantifiers
    4.2 Interpretations and Validity
    4.3 Restricted Inferences with Existential Quantifiers
    4.4 Interchange of Quantifiers
    4.5 General Inferences
    4.6 Summary of Rules of Inference
  5. FURTHER RULES OF INFERENCE
    5.1 Logic of Identity
    5.2 Theorems of Logic
    5.3 Derived Rules of Inference
  6. POSTSCRIPT ON USE AND MENTION
    6.1 Names and Things Named
    6.2 Problems of Sentential Variables
    6.3 Juxtaposition of Names
  7. TRANSITION FROM FORMAL TO INFORMAL PROOFS
    7.1 General Considerations
    7.2 Basic Number Axioms
    7.3 Comparative Examples of Formal Derivations and Informal Proofs
    7.4 Examples of Fallacious Informal Proofs
    7.5 Further Examples of Informal Proofs
  8. THEORY OF DEFINITION
    8.1 Traditional Ideas
    8.2 Criteria for Proper Definitions
    8.3 Rules for Proper Definitions
    8.4 Definitions Which are Identities
    8.5 The Problem of Divison by Zero
    8.6 Conditional Definitions
    8.7 Five Approaches to Division by Zero
    8.8 Padoa's Principle and Independence of Primitive Symbols
PART II-ELEMENTARY INTUITIVE SET THEORY
  9. SETS
    9.1 Introduction
    9.2 Membership
    9.3 Inclusion
    9.4 The Empty Set
    9.5 Operations on Sets
    9.6 Domains of Individuals
    9.7 Translating Everyday Language
    9.8 Venn Diagrams
    9.9 Elementary Principles About Operations on Sets
  10. RELATIONS
    10.1 Ordered Couples
    10.2 Definition of Relations
    10.3 Properties of Binary Relations
    10.4 Equivalence Relations
    10.5 Ordering Relations
    10.6 Operations on Relations
  11. FUNCTIONS
    11.1 Definition
    11.2 Operations on Functions
    11.3 Church's Lambda Notation
  12. SET-THEORETICAL FOUNDATIONS OF THE AXIOMATIC METHOD
    12.1 Introduction
    12.2 Set-Theoretical Predicates and Axiomatizations of Theories
    12.3 Ismorphism of Models for a Theory
    12.4 Example: Profitability
    12.5 Example: Mechanics
INDEX
Publish Book: 
Modify Date: 
Friday, October 29, 2010

Dummy View - NOT TO BE DELETED