Knowledge and Demonstration: Aristotle's Posterior Analytics

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Springer 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.
 

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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
Select Bibliography
149
General Index
155
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