Book I

1. The need for pre-existent knowledge
2. The nature of scientific knowledge
3. Two wrong views of scientific knowledge
4. Types of attributes
5. Causes through which we wrongly suppose a conclusion commensurate and universal
6. The nature of demonstrative premises (necessary and essential)
7. The three elements of a demonstration
8. The demonstration of eternal connections
9. Demonstrative premises must be related to the science in question
10. Different kinds of basic truth
11. Axioms and demonstration
12. The interrogative form of a scientific premise
13. Knowledge of fact vs. inferred knowledge
14. First figure syllogism is scientific
15. Immediate negative propositions
16. Failed inferences from immediate premises
17. Failed inferences from mediate premises
18. Ignorance and the negation of knowledge
19. Demonstrations and infinite regression
20. Chapter 19 continued
21. Negative demonstration and infinite regression
22. Dialectical and Analytic proofs
23. Corollaries
24. Universal demonstrations superior to particular demonstrations
25. Affirmative demonstrations superior to negative demonstrations
26. Affirmative and negative demonstrations superior to reductio ad impossible
27. Abstract science is prior to less abstract science
28. The unity of a science
29. Multiple demonstrations of a single connection
30. Accidental conjunctions cannot be demonstrated
31. Demonstration cannot be based on sense-perception
32. Each science has its own basic truth
33. How opinion is related to knowledge
34. Immediately arriving at the middle term of a syllogism

Book II

1. Four possible forms of inquiry
2. Centrality of the middle term to all inquiry
3. The difference between demonstration and definition
4. An essential nature cannot be demonstrated
5. Essential nature cannot be inferred by division
6. Proving essential nature and begging the question
7. Definitions cannot be demonstrative
8. Demonstration and the essential nature of attributes
9. Intuitive grasp of the self-caused
10. Different types of definitions
11. Cause as middle term of a syllogism
12. Time and causal inference
13. How to define substance
14. Connection and demonstration
15. The middle term and connections
16. The relation of cause to effect
17. Effects brought about by divergent causes
18. The true cause of a connection
19. How we know basic truth