The Truth-Table Method: Full Edition (Logic Self-Taught Workbooks) - Softcover

Inhaltsangabe

Like personal trainers, the Workbooks offer a practical and empathic approach to introductory logic. They are designed for beginners and for anyone who wants to build confidence by doing more exercises. Workbook 2 Full Edition helps you learn how to:

• do truth-value calculations using a step-by-step method
• construct a truth table for a group of arbitrarily complex propositional forms
• use the full and the indirect truth-table method to determine whether the following concepts apply:
  • tautology, contradiction, and contingency
  • validity
  • logical equivalence.

There are numerous exercises whose difficulty increases gradually. The point is to train your "logic muscles" until they become strong enough to carry "heavy-weight" content. The study is aided by many examples that are worked out step by step, warnings of common errors, and complete solutions to all exercises.

There is another edition of Workbook 2. The Thin Edition does not have the supplementary unit on the indirect truth-table method. The supplementary unit on the indirect truth-table method is also available as Logic Self-Taught Workbooklet 2.A.

Logic Self-Taught Workbooks are based on the insight that understanding logic is not sufficient for learning logic, just as understanding how to swim is not sufficient for learning to swim, and understanding the grammar of a foreign language is not sufficient for learning the language. You need to practice and take an active part in self-teaching. Through systematic work with the Workbooks, you will build self-confidence. You can learn logic, even its hardest parts.

Contents

Unit 2.1 Truth-Value Calculations
A. Conjunctions, Disjunctions, Conditionals, and Biconditionals
B. Negations
C. Multiple Negations
Unit 2.2 Truth Tables and Proper Logical Forms
A. Two Types of Formulas: Propositions vs. Propositional Forms
B. What is a Truth Table?
C. How Many Rows does a Truth Table Have?
D. How to Construct a Truth-Table Base?
E. Proper Logical Form
Unit 2.3 Tautology, Contradiction, Contingency
A. Tautologies, Contradictions, Contingencies
B. The Origins of the Truth-Table Method (optional)
C. Tautology, Contradiction, Contingency: Truth-Table Method
D. Determining the Properties of Propositions
E. Common Errors
Unit 2.4 Validity
The Concept of Deductive Validity: A Recapitulation
A. Invalidity and Validity
B. Validity and Invalidity: The Truth-Table Method
C. Common Errors
Unit 2.5 Other Applications of the Truth Table Method
A. Logical Equivalence
B. Logical Implication (Entailment)
C. Logical Consistency
Unit 2.A The Indirect Truth-Table Method
A. Backward Search
B. Tautology? Or Not?
C. Contradiction? Or Not?
D. Contingency? Or Not?
E. Logically Equivalent? Or Not?
F. Logically Valid? Or Not?

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.