Introduction to Logic and to the Methodology of the Deductive Sciences

FIRST PART: Elements of Logic. Deductive Method 1. On the Use of Variables 2. On the Sentential Calculus 3. On the Theory of Identity 4. On the Theory of Classes 5. On the Theory of Relations 6. On the Deductive Method SECOND PART: Applications of Logic and Methodology in Constructing Mathematical Theories 7. Construction of a Mathematical Theory: Laws of Order for Numbers 8. Construction of a Mathematical Theory: Laws of Addition and Subtraction 9. Methodological Considerations of the Constructed Theory 10. Extension of the Constructed Theory: Foundations of Arithmetic of Real Numbers