Colin Howson

Logic with Trees (eBook, ePUB)

An Introduction to Symbolic Logic

• Format: ePub

Produktbeschreibung

First published in 1997. Routledge is an imprint of Taylor & Francis, an informa company.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 212
• Erscheinungstermin: 11. Oktober 2005
• Englisch
• ISBN-13: 9781134785506
• Artikelnr.: 42710482

Autorenporträt

Howson, Colin

Inhaltsangabe

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 O