Knowledge and Demonstration: Aristotle's Posterior Analytics

Acknowledgements. Introduction. 1. Intellect as a First Principle. 1.1 The Ambiguity of the Term Archê. 1.2 Two Senses of Archê. 1.3 Induction and Intellect. 1.4 Induction. 1.5 Induction in the Posterior Analytics I.1 and the Prior Analytics II.21. 1.6 Induction in the Posterior Analytics II.19. 2. The Immediate Premiss. 2.1 Immediate Premisses and Skepticism. 2.2 Definitions and Hypotheses. 2.3 The Problem of the Modal Status of Hypotheses. 2.4 Hypotheses and the Principle of the Excluded Middle. 2.5 Demonstrative Necessity. 2.6 Hypothetical Knowledge versus Knowledge Simpliciter. 3. The Logic of Demonstration. 3.1 The Modern Exegesis of the Theory of Syllogism. 3.2 Syllogism and Hypothetical Deduction. 3.3 Syllogistic Consequence. 3.4 The Cognitive Value of Syllogistic Reasoning. 4. Syllogism and the Object of Knowledge. 4.1 The Discrepancy between Aristotle's Theory and Scientific Practice. 4.2 Syllogism and Greek Mathematical Reasoning. 4.3 Syllogistic Logic and the Principles of Demonstration. 4.4 The Objects of Mathematics and Syllogistic Reasoning. 4.5 Greek Mathematical Reasoning. 5. Knowledge and Demonstration. 5.1 Knowledge and Understanding. 5.2 Definition and Being. 5.3 Being and Essence. 5.4 Demonstration and Essence. 5.5 Aristotle's Concept of Knowledge. Conclusion. Select Bibliography. General Index.