2004年11月27日

Knowledge and Demonstration

Orna Harari, Knowledge and Demonstration: Aristotle's Posterior Analytics, The New Synthese Historical Library Vol.56, Berlin: Springer, 2004. IX,161p.

『分析論後書』の新しい研究書がでました。頁数があまりなく、紹介や目次からもあまり惹かれません。ハードだけですし、高価です ($119.00)。

目次と紹介


contents

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.


about this book

This book examines a fundamental problem in Aristotle’s Posterior Analytics: what is the role of syllogistic logic in the theory of demonstrative knowledge? The answer to this question is sought in Aristotle’s metaphysical theory and his conception of substance. This interpretation challenges the traditional interpretation that approaches Aristotle’s theory of demonstration from the standpoint of scientific practice. It is argued, in this book, that the Posterior Analytics’ main objective is to articulate the notion of knowledge, viewed here as a conceptualisation, rather than analysing the structure and methods of scientific explorations. The original interpretation offered in this book sheds fresh light on issues, such as the conceptual difference between Aristotle’s logic and modern logic, the relationship between Aristotle’s logic and Greek mathematics, and the differences between the Aristotelian and modern notions of knowledge and proof. In attempting to present a comprehensive interpretation of one of the most difficult works in the Aristotelian corpus, this book is of major importance first and foremost for Aristotelian scholars and historians of Greek philosophy; the historical character of the analysis offered here makes it relevant also to historians of Greek mathematics, historians of logic, historians of science in general, and philosophers of sciences.

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