Introduction to Logic

Introduction to Logic
(textbook)
by V.A.Bocharov and V.I.Markin
Content
Chapter I. THE SUBJECT AND BASIC CONCEPTS OF LOGIC
§ 1. Logic as a science. Logic and language. Basic forms and procedures
of rational knowledge.
§ 2. Logical form. Consequence relation.
§ 3. Logical laws. Logical theories.
Chapter II. CLASSICAL PROPOSITIONAL LOGIC
§ 1. Propositional connectives.
§ 2. Language of classical propositional logic.
§ 3. Truth tables. Valid, contradictory and satisfiable formulas.
§ 4. Logical relations between the formulas.
§ 5. Basic laws and modes of correct reasoning in propositional logic.
Chapter III. CLASSICAL PREDICATE LOGIC
§ 1. Language of predicate logic.
§ 2. Interpretations and models. Valid formulas and logical relations
in predicate logic.
§ 3. Analytical tables method .
Chapter IV. THEORY OF DEDUCTIVE REASONING
§ 1. Classical propositional calculus.
§ 2. Classical predicate calculus.
Chapter V. SYLLOGISTIC
§ 1. General information on syllogistic.
§ 2. Semantics of the traditional syllogistic.
§ 3. Syllogistic laws and immediate inferences.
§ 4. Categorical syllogism.
§ 5. Negative syllogistic.
§ 6. Enthymeme.
Chapter VI. CONCEPT
§ 1. General characteristics of concepts.
§ 2. Kinds of concepts.
§ 3. Boolean operations with concepts and
relations between concepts.
§ 4. Generalization, restriction and division of concepts.
Chapter VII. DEFINITION
§ 1. Epistemological characteristics of definitions.
§ 2. Explicit definitions.
§ 3. Implicit definitions.
§ 4. Other kinds of definitions.
Chapter VIII. PLAUSIBLE REASONINGS
§ 1. General information on plausible reasonings.
§ 2. Generalizing induction.
§ 3. Concept of causality.
§ 4. J.S.Mill's methods.
§ 5. Hypothetical-deductive method.
§ 6. Analogy.