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Books > Buddhist > Buddhist Formal Logic: A Study of Dignaga's Hetucakra and K'uei-chi's Great Commentary on the Nyayapravesa
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Buddhist Formal Logic: A Study of Dignaga's Hetucakra and K'uei-chi's Great Commentary on the Nyayapravesa
Buddhist Formal Logic: A Study of Dignaga's Hetucakra and K'uei-chi's Great Commentary on the Nyayapravesa
Description
From the Jacket:

This work is primarily an interpretation of India logic preserved in China. The material is mainly taken from K'uei Chi's Great Commentary on the Nyayapravesa. It is not designed to be a comprehensive study of Indian logic in general, nor is it planned to be a complete exposition of K'uei Chi's work in particular. Its scope is confined to formal logic. The author's intentions are to solve problems which have not yet been settled and to interpret theories which have not yet been clearly interpreted, instead of duplicating what other people have already done. Much more attention has been paid to the fundamental principles and less to the list of fallacies, in particular less to the overelaboration which does not make much sense either theoretically or practically.

In an examination of the principles of the Hetucakra and the Trairupya, it is unavoidable that some non-Buddhist works are involved, i.e. without them the discussion of the theories would be incomplete. Therefore the theories of Uddyotakara, who was totally unknown to the early Chinese logicians, have been discussed. Besides interpetaiton of Indian theories, one chapter is devoted to a discussion of possible consequences on Western logic after Indian theories have been introduced and absorbed.

Regarding symbolic notation, the author generally follows that of the Principia Mathematica. One of the exceptions is the use of dots. A part of Aristotelian terminology, such as the names of premises, terms and moods, has been used as a substitute, and not the precise equivalent, for the sake of convenience only.

CONTENTS

Foreword 1968vii
Introduction 1966-67 (i) Dignaga's Hetucakra and Trairupyaxi
Professor Karl H. Potter's Paperxliii
Introduction 1966-67 (ii) A General Theory of Operatorsxlix
Prefacelxix
Introduction 1961lxxiii
Abbreviationslxxix
1.Fundamental Theories1
11Dignaga's Hetucakra1
111.Original Texts1
112.Explanatory Texts5
113.Interpretation8
12.The Trairupya30
121.Formulation by Dignaga and Dharmakirti30
122.Uddyotakara's Objections31
123.Dharmottara's Interpretation of the Second Clause35
124.Controversy on the Trairupya at the time of Vacaspatimisra36
125.Why was the Theory of the Trairupya Misinterpreted?38
126.Interpretation of the Trairupya40
13.Uddyotakara's Hetucakra44
131.Interpretation44
132.Uddyotakara's Illustrative Cases51
2.What do the Theories of the Hetucakra and the Trairupya Mean to us?55
21.The logic of Classes55
22.The Retricted Predicate Logic61
23.The Propositional Logic64
24.Three Kinds of Functions Defined by Matrices in Uniform Symbols65
241.The Narrow Functions and the Universal Functions68
242.Notation of the Functions70
243.Definitions and Characteristics of the Functions73
244.A Few Theorems on the Three Sets of Functions79
25.What does the Theory of the Trairupya mean in Propositional Logic?91
26.The Problem of 'Inseparable Connection'93
27.Three Types of Connectives96
28.A New Scheme of the Hetucakra98
3.List of Fallacies105
31.Samkarasvamin's List of Fallacies105
311.Samkarasvamin's List and his Illustrative cases105
312.Some Queries on Samkarasvamin's List of Fallacies113
313.The Hetucakra, the Trairupya and the List of Fallacies125
314.K'uei-chi's Treatment of the List of Fallacies126
32.Dharmakirti's Modification of the List of Fallacies144
33.The Relativity of Validity148
331.The Background of Debate149
332.The Standpoints of Disputing Parties149
333.The Four Logical Alternatives156
34.A Study of a few Illustrative Cases163
341.On Vaisesika's Categories163
342.On the Existence of Soul166
343.The 'Smoke-Fire' Case172
4.Conclusion175
41.Ancient Symbolic Logic175
42.Application of Indian Theories in Modern Logic177
Bibliography A185
Bibliography B199

Buddhist Formal Logic: A Study of Dignaga's Hetucakra and K'uei-chi's Great Commentary on the Nyayapravesa

Item Code:
IDE445
Cover:
Hardcover
Edition:
1990
ISBN:
8120807308
Language:
English
Size:
8.8" X 5.8"
Pages:
304
Price:
$25.00   Shipping Free
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From the Jacket:

This work is primarily an interpretation of India logic preserved in China. The material is mainly taken from K'uei Chi's Great Commentary on the Nyayapravesa. It is not designed to be a comprehensive study of Indian logic in general, nor is it planned to be a complete exposition of K'uei Chi's work in particular. Its scope is confined to formal logic. The author's intentions are to solve problems which have not yet been settled and to interpret theories which have not yet been clearly interpreted, instead of duplicating what other people have already done. Much more attention has been paid to the fundamental principles and less to the list of fallacies, in particular less to the overelaboration which does not make much sense either theoretically or practically.

In an examination of the principles of the Hetucakra and the Trairupya, it is unavoidable that some non-Buddhist works are involved, i.e. without them the discussion of the theories would be incomplete. Therefore the theories of Uddyotakara, who was totally unknown to the early Chinese logicians, have been discussed. Besides interpetaiton of Indian theories, one chapter is devoted to a discussion of possible consequences on Western logic after Indian theories have been introduced and absorbed.

Regarding symbolic notation, the author generally follows that of the Principia Mathematica. One of the exceptions is the use of dots. A part of Aristotelian terminology, such as the names of premises, terms and moods, has been used as a substitute, and not the precise equivalent, for the sake of convenience only.

CONTENTS

Foreword 1968vii
Introduction 1966-67 (i) Dignaga's Hetucakra and Trairupyaxi
Professor Karl H. Potter's Paperxliii
Introduction 1966-67 (ii) A General Theory of Operatorsxlix
Prefacelxix
Introduction 1961lxxiii
Abbreviationslxxix
1.Fundamental Theories1
11Dignaga's Hetucakra1
111.Original Texts1
112.Explanatory Texts5
113.Interpretation8
12.The Trairupya30
121.Formulation by Dignaga and Dharmakirti30
122.Uddyotakara's Objections31
123.Dharmottara's Interpretation of the Second Clause35
124.Controversy on the Trairupya at the time of Vacaspatimisra36
125.Why was the Theory of the Trairupya Misinterpreted?38
126.Interpretation of the Trairupya40
13.Uddyotakara's Hetucakra44
131.Interpretation44
132.Uddyotakara's Illustrative Cases51
2.What do the Theories of the Hetucakra and the Trairupya Mean to us?55
21.The logic of Classes55
22.The Retricted Predicate Logic61
23.The Propositional Logic64
24.Three Kinds of Functions Defined by Matrices in Uniform Symbols65
241.The Narrow Functions and the Universal Functions68
242.Notation of the Functions70
243.Definitions and Characteristics of the Functions73
244.A Few Theorems on the Three Sets of Functions79
25.What does the Theory of the Trairupya mean in Propositional Logic?91
26.The Problem of 'Inseparable Connection'93
27.Three Types of Connectives96
28.A New Scheme of the Hetucakra98
3.List of Fallacies105
31.Samkarasvamin's List of Fallacies105
311.Samkarasvamin's List and his Illustrative cases105
312.Some Queries on Samkarasvamin's List of Fallacies113
313.The Hetucakra, the Trairupya and the List of Fallacies125
314.K'uei-chi's Treatment of the List of Fallacies126
32.Dharmakirti's Modification of the List of Fallacies144
33.The Relativity of Validity148
331.The Background of Debate149
332.The Standpoints of Disputing Parties149
333.The Four Logical Alternatives156
34.A Study of a few Illustrative Cases163
341.On Vaisesika's Categories163
342.On the Existence of Soul166
343.The 'Smoke-Fire' Case172
4.Conclusion175
41.Ancient Symbolic Logic175
42.Application of Indian Theories in Modern Logic177
Bibliography A185
Bibliography B199

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