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 CalculationsA. Conjunctions, Disjunctions, Conditionals, and Biconditionals
B. Negations
C. Multiple Negations
Unit 2.2 Truth Tables and Proper Logical FormsA. 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, ContingencyA. 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 MethodA. Backward Search
B. Tautology? Or Not?
C. Contradiction? Or Not?
D. Contingency? Or Not?
E. Logically Equivalent? Or Not?
F. Logically Valid? Or Not?