Knowledge and Demonstration: Aristotle's Posterior AnalyticsSpringer Science & Business Media, 2004 M11 2 - 158 páginas This study explores the theoretical relationship between Aristotle’s theory of syllogism and his conception of demonstrative knowledge. More specifically, I consider why Aristotle’s theory of demonstration presupposes his theory of syllogism. In reconsidering the relationship between Aristotle’s two Analytics, I modify this widely discussed question. The problem of the relationship between Aristotle’s logic and his theory of proof is commonly approached from the standpoint of whether the theory of demonstration presupposes the theory of syllogism. By contrast, I assume the theoretical relationship between these two theories from the start. This assumption is based on much explicit textual evidence indicating that Aristotle considers the theory of demonstration a branch of the theory of syllogism. I see no textual reasons for doubting the theoretical relationship between Aristotle’s two Analytics so I attempt to uncover here the common theoretical assumptions that relate the syllogistic form of reasoning to the cognitive state (i. e. , knowledge), which is attained through syllogistic inferences. This modification of the traditional approach reflects the wider objective of this essay. Unlike the traditional interpretation, which views the Posterior Analytics in light of scientific practice, this study aims to lay the foundation for a comprehensive interpretation of the Posterior Analytics, considering this work from a metaphysical perspective. One of my major assertions is that Aristotle’s conception of substance is essential for a grasp of his theory of demonstration in general, and of the role of syllogistic logic in particular. |
Contenido
Introduction | 1 |
Intellect as a First Principle | 13 |
12 TWO SENSES OF ARCHE | 16 |
13 INDUCTION AND INTELLECT | 19 |
14 INDUCTION | 21 |
15 INDUCTION IN THE POSTERIOR ANALYTICS LIAND THE PRIOR ANALYTICS 1121 | 25 |
16 INDUCTION IN THE POSTERIOR ANALYTICS 1119 | 30 |
17 EPISTEMOLOGICAL IMPLICATIONS | 35 |
33 SYLLOGISTIC CONSEQUENCE | 73 |
34 THE COGNITIVE VALUE OF SYLLOGISTIC REASONING | 81 |
Syllogism and the Object of Knowledge | 87 |
42 SYLLOGISM AND GREEK MATHEMATICAL REASONING | 89 |
43 SYLLOGISTIC LOGIC AND THE PREMISSES OF DEMONSTRATION | 96 |
44 THE OBJECTS OF MATHEMATICS AND SYLLOGISTIC REASONING | 100 |
45 GREEK MATHEMATICAL REASONING | 109 |
Knowledge and Demonstration | 117 |
The Immediate Premiss | 39 |
22 DEFINITIONS AND HYPOTHESES | 40 |
23 THE PROBLEM OF THE MODAL STATUS OF HYPOTHESES | 47 |
24 HYPOTHESES AND THE PRINCIPLE OF THE EXCLUDED MIDDLE | 51 |
25 DEMONSTRATIVE NECESSITY | 56 |
26 HYPOTHETICAL KNOWLEDGE VERSUS KNOWLEDGE SIMPLICITER | 59 |
The Logic of Demonstration | 63 |
32 SYLLOGISM AND HYPOTHETICAL DEDUCTION | 66 |
52 DEFINITION AND BEING | 120 |
53 BEING AND ESSENCE | 127 |
54 DEMONSTRATION AND ESSENCE | 132 |
55 ARISTOTLES CONCEPT OF KNOWLEDGE | 139 |
Conclusion | 143 |
149 | |
155 | |
Otras ediciones - Ver todas
Knowledge and Demonstration: Aristotle’s Posterior Analytics Orna Harari Sin vista previa disponible - 2010 |
Términos y frases comunes
analysis argues argument Aristotelian Aristotle says Aristotle's conception Aristotle's discussion Aristotle's distinction Aristotle's logic Aristotle's notion Aristotle's Posterior Analytics Aristotle's theory Aristotle's view assumption axiomatic axioms belongs Callias characterization cognitive concept of knowledge conceptual relations conclusion defined demonstrative knowledge demonstrative premisses entailment epistêmê essence Euclid's Elements excluded middle existence existential interpretation expression extensional definition false formal genus geometrical objects grasp Greek mathematics hypothetical deductions immediate premisses intellect judgment mathematical objects mathematical proofs means Metaphysics I.1 middle term modal status modern logic modern notion nominal definition objects of knowledge objects of mathematics ontological particular instance passage perception perceptual understanding Posterior Analytics II.19 predicative propositions premisses of demonstration presupposes principle of non-contradiction Prior Analytics Proclus question right angles role scientific practice semicircle sense substance syllogistic inferences syllogistic premisses syllogistic reasoning syllogistic terms theory of demonstration theory of knowledge theory of syllogism thing triangle truth-value universal concepts universal proposition