The motivation for the theory of demonstration -- The approach to the principles -- The kinds of principles -- The subject genus -- The subordinate sciences -- Axioms or common principles -- Definitions, I: the per se -- Scientific essences -- Definitions, II: form and content -- Existence claims -- Aristotle's principles and Greek mathematics -- Aristotle's demonstrations and Euclid's elements -- The varieties of demonstration, I: universal subject-attribute demonstrations -- The varieties of demonstration, II: application arguments -- The varieties of demonstration, III: demonstrations of existence -- Demonstration of essence: another form of scientific proof? -- Scientific explanation --Our knowledge of the principles.

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