Logic: A Complete Introduction: Teach Yourself (Complete Introductions)

Description

Understand Logic is a comprehensive introduction to this fascinating though sometimes challenging subject. As well as looking at logic in theoretical terms the book considers its everyday uses and demonstrates how it has genuine practical applications. It will take you step by step through the most difficult concepts and is packed with exercises to help you consolidate your learning at every stage. Covering everything from syllogistic logic to logical paradoxes and even looking at logic in Alice in Wonderland, this is the only guide you will ever need. Title Contents Meet the author Introduction 1 What is logic? 1.1 What is logic? 1.2 What is an argument? 1.3 Deduction and Induction 1.4 Truth and validity 1.5 Some additional remarks 1.6 Chapter summary 2 Meaning 2.1 The formal character of deductive logic 2.2 Common types of unclear expressions 2.3 What is meaning? 2.4 Definition 2.5 Chapter summary 3 Informal fallacies 3.1 Fallacies from the abuse of language 3.2 Fallacies of relevance 3.3 Chapter summary 4 Categorical logic 4.1 Propositional forms – AEIO 4.2 Immediate inferences and the traditional square of opposition 4.3 Existential import 4.4 Venn diagrams 4.5 Using Venn diagrams to test the validity of arguments 4.6 The rule method 4.7 Chapter summary 5 Propositional logic 5.1 The quest for completeness 5.2 Truth-tables and five logical connectives 5.3 Computing truth-tables 5.4 Translating ordinary language 5.5 Testing validity 5.6 The short truth-table method 5.7 Natural deduction 5.8 Chapter summary 6 Predicate logic 6.1 Function, concept, quantification 6.2 Translating categorical propositions into predicate logic 6.3 Translating ordinary language 6.4 Rules of inference and equivalence concerning quantification 6.5 Deduction 6.6 Chapter summary Epilogue Notes Glossary Taking it further Solutions Copyright