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Logic with Trees: An Introduction to ..., Howson, Colin

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Item specifics

Condition
Good: A book that has been read, but is in good condition. Minimal damage to the book cover eg. ...
Book Title
Logic with Trees: An Introduction to Symbolic Logic
ISBN
0415133424
EAN
9780415133425
Release Title
Logic with Trees: An Introduction to Symbolic Logic
Artist
Howson, Colin
Brand
N/A
Colour
N/A

About this product

Product Identifiers

Publisher
Routledge
ISBN-10
0415133424
ISBN-13
9780415133425
eBay Product ID (ePID)
452514

Product Key Features

Number of Pages
212 Pages
Publication Name
Logic with Trees : an Introduction to Symbolic Logic
Language
English
Subject
General, Logic
Publication Year
1997
Type
Textbook
Subject Area
Mathematics, Philosophy
Author
Colin Howson
Format
Uk-B Format Paperback

Dimensions

Item Height
0.4 in
Item Weight
11.2 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
College Audience
LCCN
96-007315
Dewey Edition
20
Illustrated
Yes
Dewey Decimal
160
Table Of Content
Introduction. Part 1: Truth-Functional Logic Chapter 1. The Basics 1. Deductively Valid Inference 2. Syntax: Connectives and the Principle of Composition 3. Semantics: Truth-Functionality 4. Negation and Conjunction 5. Disjunction 6. Truth-Functional Equivalence 7. The Conditional 8. Some Other Connectives, and the Biconditional Chapter 2. Truth Trees 1. Truth-Functionally Valid Inference 2. Conjugate Tree Diagrams 3. Truth Trees 4. Tautologies and Contradictions Chapter 3. Propositional Languages 1. Propositional Languages 2. Object Language and Metalanguage 3. Ancestral Trees 4. An Induction Principle 5. Multiple Conjunctions and Disjunctions 6. The Disjunctive Normal Form Theorem 7. Adequate Sets of Connectives 8. The Duality Principle 9. Conjunctive Normal Forms Chapter 4. Soundness and Completeness 1. The Standard Propositional Language 2. Truth Trees Again 3. Truth-Functional Consistency, Truth-Functionally Valid Inferences, and Trees 4. Soundness and Completeness Part 2: First Order Logic Chapter 5. Introduction 1. Some Non-Truth-Functional Inferences 2. Quantifiers and Variables 3. Relations 4. Formalising English Sentences Chapter 6. First Languages: Syntax and Two More Trees Rules 1. First Order Languages 2. Two More Tree Rules 3. Tree Proofs Chapter 7. First Order Languages: Semantics 1. Interpretations 2. Formulas and Truth 3. The Tree Rules Revisited 4. Consistency and Validity 5. Logical Truth and Logical Equivalence Chapter 8. Soundness and Completeness 1. Applying the Tree Rules 2. Branch Models 3. Soundness and Completeness Theorems 4. Compactness Chapter 9. Identity 1. Identity 2. Tree Rules For Identity 3. Some Arithmetic 4. Functions and Function Symbols 5. Working with Equations 6. Is Identity Part of Logic? Chapter 10. Alternative Deductive Systems for First Order Logic 1. Introduction 2. H 3 ND 4. Comparisons 5. Intuitionism Chapter 11. First Order Theories 1. First Order Theories 2. Infinite Cardinals 3. Lowenheim-Skolem Theorems 4. Second Order Languages 5. Completeness 6. The Liar Paradox Chapter 12. Beyond the Fringe 1. Counterfactual Conditions 2. Modal Propositional Logic 3. Indicative Conditionals and -> 4. Conclusion. List of Notation. Answers to Selected Exercises.
LC Classification Number
BC135.H68 1997

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