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Difference between revisions of "Dignāga and Dharmakīrti: Two Summits of Indian Buddhist Logic By Zheng Wei-hong"

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[[File:Dignaga 225.jpg|thumb|250px|]]
 
[[File:Dignaga 225.jpg|thumb|250px|]]
 
<poem>
 
<poem>
There is still a fashionable misunderstanding among scholars both in China and abroad. They think  that  the  first  deductive  theory  in  the  history of Indian  logic  should  not  be  owed to Buddhism,  but  to  the  early  Nyāya.  In  fact,  Dignāga  and  Dharmakīrti are  two  summits  of Buddhist  logic  as  well  as  Indian  logic,  in  that  Dignāga  lays  the  groundwork  for  the  first deductive  theory  in  Indian  logic,  and  Dharmakīrti finally transforms  the  Indian  logic  fro m analogy to deduction, which is the first time that Indian logic reaches the level of western syllogism.
+
There is still a fashionable misunderstanding among [[scholars]] both in [[China]] and abroad. They think  that  the  first  deductive  {{Wiki|theory}} in  the  {{Wiki|history}} of [[Indian]] [[logic]] should  not  be  owed to [[Buddhism]],  but  to  the  early  [[Nyāya]].  In  fact,  [[Dignāga]] and  [[Dharmakīrti]] are  two  summits  of [[Buddhist]] [[logic]] as  well  as  [[Indian]] [[logic]],  in  that  [[Dignāga]] lays  the  groundwork  for  the  first deductive  {{Wiki|theory}} in  [[Indian]] [[logic]],  and  [[Dharmakīrti]] finally transforms  the  [[Indian]] [[logic]] fro m analogy to deduction, which is the first [[time]] that [[Indian]] [[logic]] reaches the level of western [[syllogism]].
Key words: Indian Buddhist Logic; Hetuvidyā; Dignāga; Dharmakīrti
+
Key words: [[Indian]] [[Buddhist]] [[Logic]]; [[Hetuvidyā]]; [[Dignāga]]; [[Dharmakīrti]]
  
The  main  task  of  my research  on  Buddhist  logic  is  to  depict  in  an  accurate  manner Dignāga and Dharmakīrti’s respective systems of logic, and to discover the fundamental difference between these two summits of Indian Buddhist logic. This task is not only related to the correct discernment of different phases in the history of Buddhist logic according to their respective features, but also based on the careful examination of basic texts, e.g. based on the correct interpretation of Dignāga’s Nyāyamukha, which represents his early ideas of Buddhist logic. This task is also related to the appropriate application of a variety of perspectives, e.g. the holistic perspective, the historicist perspective and the perspective of comparative studies of Buddhist and western logic. In addition, I am also very concerned to draw on the results of comparative studies of Sanskrit, Chinese and Tibetan texts.
+
The  main  task  of  my research  on  [[Buddhist]] [[logic]] is  to  depict  in  an  accurate  [[manner]] [[Dignāga]] and Dharmakīrti’s respective systems of [[logic]], and to discover the fundamental [[difference]] between these two summits of [[Indian]] [[Buddhist]] [[logic]]. This task is not only related to the correct [[discernment]] of different phases in the {{Wiki|history}} of [[Buddhist]] [[logic]] according to their respective features, but also based on the careful examination of basic texts, e.g. based on the correct interpretation of Dignāga’s Nyāyamukha, which represents his early ideas of [[Buddhist]] [[logic]]. This task is also related to the appropriate application of a variety of perspectives, e.g. the holistic perspective, the historicist perspective and the perspective of comparative studies of [[Buddhist]] and western [[logic]]. In addition, I am also very concerned to draw on the results of comparative studies of [[Sanskrit]], {{Wiki|Chinese}} and [[Tibetan]] texts.
There are two main streams of Indian logic, the Nyāya logic and Buddhist logic. The first system of Indian logic was set forth in the Nyāyasūtra of the Nyāya School. However, the first deductive theory in the history of Indian  logic  should  be owed to  Buddhist  logic.  In  fact, Dignāga laid the groundwork for the first deductive theory in Indian logic, and Dharmakīrt i finally transformed Indian logic from analogy to deduction, which was the first time that Indian logic reached the level of western syllogism.
+
There are two main streams of [[Indian]] [[logic]], the [[Nyāya]] [[logic]] and [[Buddhist]] [[logic]]. The first system of [[Indian]] [[logic]] was set forth in the Nyāyasūtra of the [[Nyāya]] School. However, the first deductive {{Wiki|theory}} in the {{Wiki|history}} of [[Indian]] [[logic]] should  be owed to  [[Buddhist]] [[logic]].  In  fact, [[Dignāga]] laid the groundwork for the first deductive {{Wiki|theory}} in [[Indian]] [[logic]], and Dharmakīrt i finally [[transformed]] [[Indian]] [[logic]] from analogy to deduction, which was the first [[time]] that [[Indian]] [[logic]] reached the level of western [[syllogism]].
A fair amount of important works on the history of Indian Buddhist logic and the history of Indian logic abroad have made unfair remarks about Dignāga and Dharmakīrti’s contribution to the development of Indian logic. Their expositions of Dignāga and Dharmakīrti’s systems of logic are also inaccurate. However, they have a great influence on those typical works in China on Buddhist philosophy and Buddhist logic.
+
A fair amount of important works on the {{Wiki|history}} of [[Indian]] [[Buddhist]] [[logic]] and the {{Wiki|history}} of [[Indian]] [[logic]] abroad have made unfair remarks about [[Dignāga]] and Dharmakīrti’s contribution to the development of [[Indian]] [[logic]]. Their expositions of [[Dignāga]] and Dharmakīrti’s systems of [[logic]] are also inaccurate. However, they have a great [[influence]] on those typical works in [[China]] on [[Buddhist philosophy]] and [[Buddhist]] [[logic]].
As a matter of fact, the Neo-Hetuvidyā system of logic as founded by Buddhist theoreticians is ignored in the context of Indian logic in general. The native scholars in India pay less attention to the contribution of Buddhist logic to Indian logic. In sum, the ignorance of Dignāga and
+
As a matter of fact, the Neo-Hetuvidyā system of [[logic]] as founded by [[Buddhist]] theoreticians is ignored in the context of [[Indian]] [[logic]] in general. The native [[scholars]] in [[India]] pay less [[attention]] to the contribution of [[Buddhist]] [[logic]] to [[Indian]] [[logic]]. In sum, the [[ignorance]] of [[Dignāga]] and
  
Dharmakīrti’s logic to the establishment of deductive theory in the history of Indian logic is due to the fact that most part of the scholars over the world can not provide a clear account of the origin and development of deductive theory in the history of Indian logic. They erroneously state that there has already been an all-inclusive premise in the five-membered
+
Dharmakīrti’s [[logic]] to the establishment of deductive {{Wiki|theory}} in the {{Wiki|history}} of [[Indian]] [[logic]] is due to the fact that most part of the [[scholars]] over the [[world]] can not provide a clear account of the origin and development of deductive {{Wiki|theory}} in the {{Wiki|history}} of [[Indian]] [[logic]]. They erroneously state that there has already been an all-inclusive premise in the five-membered
argument (pañcāvayava,  五分论式) of old Nyāya, and this five-membered argument is hence
+
argument (pañcāvayava,  五分论式) of old [[Nyāya]], and this five-membered argument is hence
deductive. For instance, Dr. B. L. ATREYA says in his The Elements of Indian Logic that ‘they have acquired a very clear conception of the process of reasoning so that no doubt is left in the mind of those they talk with. All the Euclidean principles are included in this indicative type of reasoning.’ The statement  of example (udāharaa)  in the  five-membered  argument  here  is
+
deductive. For instance, Dr. B. L. ATREYA says in his The [[Elements]] of [[Indian]] [[Logic]] that ‘they have acquired a very clear conception of the process of {{Wiki|reasoning}} so that no [[doubt]] is left in the [[mind]] of those they talk with. All the {{Wiki|Euclidean}} principles are included in this indicative type of {{Wiki|reasoning}}.’ The statement  of example (udāharaa)  in the  five-membered  argument  here  is
 
‘whatever is smoky is fiery, as a kitchen’1.
 
‘whatever is smoky is fiery, as a kitchen’1.
  
It is said in the Buddhist Logic of F. Th. STCHERBATSKY that in the canon of early Nyāya,
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It is said in the [[Buddhist]] [[Logic]] of F. Th. STCHERBATSKY that in the [[canon]] of early [[Nyāya]],
‘the school of Nyāya had already a developed logic’, and it was ‘a theory of the syllogism’2. Their five-membered argument is said to be ‘inductive-deductive’3. In spite of the claim that
+
‘the school of [[Nyāya]] had already a developed [[logic]]’, and it was ‘a {{Wiki|theory}} of the syllogism’2. Their five-membered argument is said to be ‘inductive-deductive’3. In [[spite]] of the claim that
‘only in the reformed new brahmanical logic ... the theory of syllogism begins to play the central part’4, the five-membered argument adopted there to illustrate the reasoning of early Nyāya has already betrayed the character of deduction:
+
‘only in the reformed new brahmanical [[logic]] ... the {{Wiki|theory}} of [[syllogism]] begins to play the central part’4, the five-membered argument adopted there to illustrate the {{Wiki|reasoning}} of early [[Nyāya]] has already betrayed the [[character]] of deduction:
1. Thesis. The mountain has fire.
+
1. Thesis. The mountain has [[fire]].
  
2. Reason. Because, it has smoke.
+
2. [[Reason]]. Because, it has smoke.
  
3. Example. As in the kitchen; wheresoever smoke, there also fire [my italics].
+
3. Example. As in the kitchen; wheresoever smoke, there also [[fire]] [my italics].
 
[[File:Skandhas 01.jpg|thumb|250px|]]
 
[[File:Skandhas 01.jpg|thumb|250px|]]
 
4. Application. The mountain has smoke.
 
4. Application. The mountain has smoke.
 
5. Conclusion. The mountain has fire.5
 
5. Conclusion. The mountain has fire.5
However, what is actually implied in the example is no more than ‘there is both smoke and fire in the kitchen’, neither ‘whatever is smoky is fiery’ nor ‘where there is smoke, there is necessarily fire’. As claimed by STCHERBATSKY, ‘when Dignāga started on his logical reform he was faced by the theory of a five-membered syllogism established in the school of the Naiyāyiks [sic!].’ The example of the five-membered argument illustrated on that page is
+
However, what is actually implied in the example is no more than ‘there is both smoke and [[fire]] in the kitchen’, neither ‘whatever is smoky is fiery’ nor ‘where there is smoke, there is necessarily [[fire]]’. As claimed by STCHERBATSKY, ‘when [[Dignāga]] started on his [[logical]] reform he was faced by the {{Wiki|theory}} of a five-membered [[syllogism]] established in the school of the Naiyāyiks [sic!].’ The example of the five-membered argument illustrated on that page is
  
  
  
1  Dr. B. L. ATREYA, The Elements of Indian Logic (印度  理学  要), Chinese translation by YANG Guobin (
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1  Dr. B. L. ATREYA, The [[Elements]] of [[Indian]] [[Logic]] (印度  理学  要), {{Wiki|Chinese}} translation by YANG Guobin (
国  ), Shanghai: The Commercial Press 1936, pp. 36-37. Tranlator’s note: I do not have the English original, so I have to re-translate this quotation from its Chinese translation as indicated by the present author.
+
国  ), Shanghai: The Commercial Press 1936, pp. 36-37. Tranlator’s note: I do not have the English original, so I have to re-translate this quotation from its {{Wiki|Chinese}} translation as indicated by the present author.
2  F. Th. STCHERBATSKY, Buddhist Logic (            ), Chinese translation by SONG  Lidao (  ) and SHU Xiaowei (  ), Beijing: The Commercial Press 1997, p. 33. Tranlator’s note: See F. Th. STCHERBATSKY, Buddhist Logic, Vol. I, New York: Dover Publications, Inc. 1962, p. 26.
+
2  F. Th. STCHERBATSKY, [[Buddhist]] [[Logic]] (            ), {{Wiki|Chinese}} translation by SONG  Lidao (  ) and SHU Xiaowei (  ), {{Wiki|Beijing}}: The Commercial Press 1997, p. 33. Tranlator’s note: See F. Th. STCHERBATSKY, [[Buddhist]] [[Logic]], Vol. I, {{Wiki|New York}}: Dover Publications, Inc. 1962, p. 26.
3  F.  Th.  STCHERBATSKY,  Buddhist  Logic,  Chinese  translation,  p.  32.  Tranlator’s  note:  See  F.  Th.
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3  F.  Th.  STCHERBATSKY,  [[Buddhist]] [[Logic]]{{Wiki|Chinese}} translation,  p.  32.  Tranlator’s  note:  See  F.  Th.
STCHERBATSKY, Buddhist Logic, Vol. I, p. 26.
+
STCHERBATSKY, [[Buddhist]] [[Logic]], Vol. I, p. 26.
4  F. Th. STCHERBATSKY, Buddhist Logic, Chinese translation, p. 34. Tranlator’s note: See F. Th. STCHERBATSKY, Buddhist Logic, Vol. I, p. 27.
+
4  F. Th. STCHERBATSKY, [[Buddhist]] [[Logic]], {{Wiki|Chinese}} translation, p. 34. Tranlator’s note: See F. Th. STCHERBATSKY, [[Buddhist]] [[Logic]], Vol. I, p. 27.
5  F.  Th.  STCHERBATSKY,  Buddhist  Logic,  Chinese  translation,  p.  32.  Tranlator’s  note:  See  F.  Th.
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5  F.  Th.  STCHERBATSKY,  [[Buddhist]] [[Logic]]{{Wiki|Chinese}} translation,  p.  32.  Tranlator’s  note:  See  F.  Th.
STCHERBATSKY, Buddhist Logic, Vol. I, p. 26.
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STCHERBATSKY, [[Buddhist]] [[Logic]], Vol. I, p. 26.
  
 
‘whereever [sic!] smoke, there fire’1, which is equal to ‘whatever is smoky is fiery’.
 
‘whereever [sic!] smoke, there fire’1, which is equal to ‘whatever is smoky is fiery’.
  
In contemporary India, D. CHATTOPADHYAYA is a famous historian of Indian philosophy. However, in his Indian Philosophy: A Popular Introduction in 1964, the presentation of the form of argument according to old Nyāya does not go beyond the paradigm of STCHERBATSKY. In this book, he quotes the view of other scholar ‘that syllogistic reasoning formed the special theme of this philosophy and that nyāya meant illustration or example (udāharaa), conceived by this
+
In contemporary [[India]], D. CHATTOPADHYAYA is a famous historian of [[Indian philosophy]]. However, in his [[Indian Philosophy]]: A Popular Introduction in 1964, the presentation of the [[form]] of argument according to old [[Nyāya]] does not go beyond the {{Wiki|paradigm}} of STCHERBATSKY. In this [[book]], he quotes the [[view]] of other [[scholar]] ‘that syllogistic {{Wiki|reasoning}} formed the special theme of this [[philosophy]] and that [[nyāya]] meant illustration or example (udāharaa), conceived by this
 
system as constituting the most important of the five members of the syllogistic expression.’2
 
system as constituting the most important of the five members of the syllogistic expression.’2
  
Accordingly, he thinks that the old Nyāya has already developed the theory of deductive reasoning. In his opinion, the example of the five-membered argument of the Nyāya School before Dignāga has already had the form that ‘whatever has smoke has fire, e.g., an oven’, and
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Accordingly, he [[thinks]] that the old [[Nyāya]] has already developed the {{Wiki|theory}} of deductive {{Wiki|reasoning}}. In his opinion, the example of the five-membered argument of the [[Nyāya]] School before [[Dignāga]] has already had the [[form]] that ‘whatever has smoke has [[fire]], e.g., an oven’, and
‘it was left for Dignāga, the Buddhist logician, to revolutionise the form of the demonstrative inference  by  reducing  the  number  of  its  members  to  only  two.’ 3    In  addition  to  the misunderstanding  that  the  example  of  old  Nyāya  has  the  form  of  universal  proposition expressing certain kind of necessary relation, he also inappropriately claims on one hand that Dignāga’s transformation of the five-membered argument is a sheer reduction of its members from  five  to  only  two,  and  on  the  other  hand,  misleadingly  ascribes  to  Dignāga  the
+
‘it was left for [[Dignāga]], the [[Buddhist]] logician, to revolutionise the [[form]] of the demonstrative inference  by  reducing  the  number  of  its  members  to  only  two.’ 3    In  addition  to  the misunderstanding  that  the  example  of  old  [[Nyāya]] has  the  [[form]] of  [[universal]] proposition expressing certain kind of necessary relation, he also inappropriately claims on one hand that Dignāga’s [[transformation]] of the five-membered argument is a sheer reduction of its members from  five  to  only  two,  and  on  the  other  hand,  misleadingly  ascribes  to  [[Dignāga]] the
two-membered argument, which is in fact invented by Dharmakīrti. It is thus clear that even the native  historians  of  Indian philosophy  in  contemporary  India  also  have  certain misunderstandings about the development of Indian logic. However, if the five-membered argument of old Nyāya were deductive reasoning, the contribution of Dignāga and Dharmakīrti would then be of trifling significance.
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two-membered argument, which is in fact invented by [[Dharmakīrti]]. It is thus clear that even the native  historians  of  [[Indian philosophy]] in  contemporary  [[India]] also  have  certain misunderstandings about the development of [[Indian]] [[logic]]. However, if the five-membered argument of old [[Nyāya]] were deductive {{Wiki|reasoning}}, the contribution of [[Dignāga]] and [[Dharmakīrti]] would then be of trifling significance.
 
Moreover, The New Encyclopædia Britannica: Macropædia4  gives the same remark as that
 
Moreover, The New Encyclopædia Britannica: Macropædia4  gives the same remark as that
 
[[File:W02.jpg|thumb|250px|]]
 
[[File:W02.jpg|thumb|250px|]]
of STCHERBATSKY to the five-membered argument in the Nyāyasūtra. In China, there are also a variety  of  works  on  Indian philosophy  in  which  the  above  misunderstandings  are  usually repeated. It is unnecessary here to quote from them respectively.
+
of STCHERBATSKY to the five-membered argument in the Nyāyasūtra. In [[China]], there are also a variety  of  works  on  [[Indian philosophy]] in  which  the  above  misunderstandings  are  usually repeated. It is unnecessary here to quote from them respectively.
 
A rare exception is the remark of Mr. TANG Yongtong (汤用彤). In his A Brief History of
 
A rare exception is the remark of Mr. TANG Yongtong (汤用彤). In his A Brief History of
Indian Philosophy (印度哲学史略), the presentation of the five-membered argument is slightly but significantly different from that of STCHERBATSKY. The example here does not adopt the form as universal proposition, but the form that ‘as a kitchen, where the smoke and fire are
+
[[Indian Philosophy]] (印度哲学史略), the presentation of the five-membered argument is slightly but significantly different from that of STCHERBATSKY. The example here does not adopt the [[form]] as [[universal]] proposition, but the [[form]] that ‘as a kitchen, where the smoke and [[fire]] are
  
  
1 F. Th. STCHERBATSKY,  Buddhist Logic, Chinese translation, p. 322. Tranlator’s note: See F. Th. STCHERBATSKY, Buddhist Logic, Vol. I, p. 279.
+
1 F. Th. STCHERBATSKY,  [[Buddhist]] [[Logic]], {{Wiki|Chinese}} translation, p. 322. Tranlator’s note: See F. Th. STCHERBATSKY, [[Buddhist]] [[Logic]], Vol. I, p. 279.
2  D. CHATTOPADHYAYA, Indian Philosophy: A Popular Introduction ( 印度哲学),  Chinese  translation  by
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2  D. CHATTOPADHYAYA, [[Indian Philosophy]]: A Popular Introduction ( 印度哲学),  {{Wiki|Chinese}} translation  by
HUANG Baosheng (黄宝生) and GUO Liangyun (郭良鋆), Beijing: The Commercial Press 1980, p. 160. Tranlator’s note: See D. CHATTOPADHYAYA, Indian Philosophy: A Popular Introduction, New Delhi: People’s Publishing House 2007, p. 160.
+
HUANG Baosheng (黄宝生) and GUO Liangyun (郭良鋆), {{Wiki|Beijing}}: The Commercial Press 1980, p. 160. Tranlator’s note: See D. CHATTOPADHYAYA, [[Indian Philosophy]]: A Popular Introduction, {{Wiki|New Delhi}}: People’s Publishing House 2007, p. 160.
3  D. CHATTOPADHYAYA,  Indian Philosophy: A Popular Introduction, Chinese translation, p. 179. Tranlator’s
+
3  D. CHATTOPADHYAYA,  [[Indian Philosophy]]: A Popular Introduction, {{Wiki|Chinese}} translation, p. 179. Tranlator’s
note: See D. CHATTOPADHYAYA, Indian Philosophy: A Popular Introduction, pp. 181-182.
+
note: See D. CHATTOPADHYAYA, [[Indian Philosophy]]: A Popular Introduction, pp. 181-182.
4  The New Encyclopædia Britannica: Macropædia, 1993, Vol. 21, ‘Indian Philosophy’, pp. 191-212.
+
4  The New Encyclopædia Britannica: Macropædia, 1993, Vol. 21, ‘[[Indian Philosophy]]’, pp. 191-212.
  
discerned’1, from which the whole reasoning is then not deduction but analogy. It is noted by Mr. TANG that ‘however, to place most of the emphasis on the reason and to pay the special attention to  the relation of pervasion  is probably the  later  doctrine after  the emergence of Buddhist Neo-Hetuvidyā, while the early masters of the Nyāya School have not advanced a theory like this.’2  This remark of Mr. TANG is based on historical fact.
+
discerned’1, from which the whole {{Wiki|reasoning}} is then not deduction but analogy. It is noted by Mr. TANG that ‘however, to place most of the emphasis on the [[reason]] and to pay the special [[attention]] to  the relation of pervasion  is probably the  later  [[doctrine]] after  the [[emergence]] of [[Buddhist]] Neo-Hetuvidyā, while the early [[masters]] of the [[Nyāya]] School have not advanced a {{Wiki|theory}} like this.’2  This remark of Mr. TANG is based on historical fact.
The earliest record of the five-membered argument in the history of Indian logic appeared in the Carakasahitā, a book on internal medicine compiled by the famous doctor Caraka in the early 2nd century A.D. on the basis of the materials from the 5th century B.C. In the Carakasahitā,  the  definition  of  the  example  (dānta)  in  five-membered  argument  is
+
The earliest record of the five-membered argument in the {{Wiki|history}} of [[Indian]] [[logic]] appeared in the Carakasahitā, a [[book]] on internal [[medicine]] compiled by the famous doctor Caraka in the early 2nd century A.D. on the basis of the materials from the 5th century B.C. In the Carakasahitā,  the  definition  of  the  example  (dānta)  in  five-membered  argument  is
‘drishtānta [sic!],  verily,  is  that  which  effects  an equality of apprehension  among  both the ignorant and the learned, and which illustrates the proposition to be established.’3 Here, the example  means  illustration,  and  the  five-membered  argument  as  quoted  does  not  have  a judgment as the main body of example. The definition of example in the Nyāyasūtra is ‘the example is an illustration which, being similar to that which is to be proved, has its character. Or else, being opposite to it, is contrary.’4  No instance of five-membered argument is given here. However, from this definition, we know that the main body of example is the illustration itself, but not certain kind of proposition summarizing the general principle from that illustration. In the Tarkaśāstra of Vasubandhu, which represents the highest achievement of the old Hetuvidyā, the example in an argument includes a general proposition as its main body and an illustration as the basis of that proposition. This new form of example then inspired Dignāga to the invention of
+
‘drishtānta [sic!],  verily,  is  that  which  effects  an equality of apprehension  among  both the [[ignorant]] and the learned, and which illustrates the proposition to be established.’3 Here, the example  means  illustration,  and  the  five-membered  argument  as  quoted  does  not  have  a judgment as the main [[body]] of example. The definition of example in the Nyāyasūtra is ‘the example is an illustration which, [[being]] similar to that which is to be proved, has its [[character]]. Or else, [[being]] opposite to it, is contrary.’4  No instance of five-membered argument is given here. However, from this definition, we [[know]] that the main [[body]] of example is the illustration itself, but not certain kind of proposition summarizing the general principle from that illustration. In the Tarkaśāstra of [[Vasubandhu]], which represents the highest achievement of the old [[Hetuvidyā]], the example in an argument includes a general proposition as its main [[body]] and an illustration as the basis of that proposition. This new [[form]] of example then inspired [[Dignāga]] to the invention of
three-membered argument. However, Vasubandhu himself does not have a theory to support the universal proposition as the regularized form of example. It seems that he only knew it occasionally but not the reason why it should be this form. Therefore, the establishment of a completely fresh form of argument, the three-membered argument, in the history of Indian logic can not be ascribed to Vasubandhu either.
+
three-membered argument. However, [[Vasubandhu]] himself does not have a {{Wiki|theory}} [[to support]] the [[universal]] proposition as the regularized [[form]] of example. It seems that he only knew it occasionally but not the [[reason]] why it should be this [[form]]. Therefore, the establishment of a completely fresh [[form]] of argument, the three-membered argument, in the {{Wiki|history}} of [[Indian]] [[logic]] can not be ascribed to [[Vasubandhu]] either.
It is noted by the Japanese scholar, Prof. KAJIYAMA Yuichi (梶山雄一), that the relation of
+
It is noted by the {{Wiki|Japanese}} [[scholar]], Prof. KAJIYAMA Yuichi (梶山雄一), that the relation of
invariable concomitance (avinābhāva) between proban and probandum is not reflected in the example of the five-membered argument of the old Nyāya. Because the old school of Nyāya
+
invariable concomitance (avinābhāva) between proban and probandum is not reflected in the example of the five-membered argument of the old [[Nyāya]]. Because the old school of [[Nyāya]]
  
  
 
[[File:Ropped.jpg|thumb|250px|]]
 
[[File:Ropped.jpg|thumb|250px|]]
1  TANG Yongtong (  ), A Brief History of Indian Philosophy ( ), Beijing: Zhonghua Book Company 1988, p.
+
1  TANG Yongtong (  ), A Brief History of [[Indian Philosophy]] ( ), {{Wiki|Beijing}}: Zhonghua [[Book]] Company 1988, p.
  
 
131.
 
131.
2  TANG Yongtong, A Brief History of Indian Philosophy, p. 131.
+
2  TANG Yongtong, A Brief History of [[Indian Philosophy]], p. 131.
3  SHEN Jianying (沈 英), ‘The Theory of Argumentation in the Carakasaṃhitā’ (《遮 迦本集》的 学
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3  SHEN Jianying (沈 英), ‘The {{Wiki|Theory}} of Argumentation in the Carakasaṃhitā’ (《遮 迦本集》的 学
), in Jiechuang Buddhist Studies ( 戒幢佛 学), Vol.  1, Changsha: Yuelu Publishing House 2002, p. 5. Tranlator’s note: English translation quoted from K. M. GANGULI, Charaka-Samhita translated into English, Calcutta: Avinash Chandra Kaviratna 1890–1903, pp. 568-569.
+
), in Jiechuang [[Buddhist Studies]] ( 戒幢佛 学), Vol.  1, Changsha: Yuelu Publishing House 2002, p. 5. Tranlator’s note: English translation quoted from K. M. GANGULI, Charaka-Samhita translated into English, Calcutta: Avinash Chandra Kaviratna 1890–1903, pp. 568-569.
4  Gang Xiao (刚晓), The Nyāyasūtra Explained (正理经解说), Beijing: China Religious Culture Publisher
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4  Gang Xiao (刚晓), The Nyāyasūtra Explained (正理经解说), {{Wiki|Beijing}}: [[China]] [[Religious]] Culture Publisher
 
2005, p. 290. Tranlator’s note: Nyāyasūtra 1. 1. 36-37. English translation quoted from Jonardon GANERI,
 
2005, p. 290. Tranlator’s note: Nyāyasūtra 1. 1. 36-37. English translation quoted from Jonardon GANERI,
‘Ancient Indian Logic as a Theory of Case-Based Reasoning’, in Journal of Indian Philosophy 31 (2003): 35.
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‘Ancient [[Indian]] [[Logic]] as a {{Wiki|Theory}} of Case-Based {{Wiki|Reasoning}}’, in Journal of [[Indian Philosophy]] 31 (2003): 35.
  
traditionally upholds the realist thesis. They recognize only the relation between individuals but not between properties in general. In this regard, the basis of reasoning  is nothing but  the concrete things as experienced. Therefore, ‘from the author of the Nyāyasūtra to Vātsyāyana, and finally to Uddyotakara, the traditional standpoint of the school of Nyāya is opposed to the theory of deduction throughout. This does not mean that the theory of deduction was completely unknown to Vātsyāyana and Uddyotakara. Especially Uddyotakara was quite familiar with it.
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[[traditionally]] upholds the realist thesis. They [[recognize]] only the relation between {{Wiki|individuals}} but not between properties in general. In this regard, the basis of {{Wiki|reasoning}} is [[nothing]] but  the concrete things as [[experienced]]. Therefore, ‘from the author of the Nyāyasūtra to Vātsyāyana, and finally to Uddyotakara, the [[traditional]] standpoint of the school of [[Nyāya]] is opposed to the {{Wiki|theory}} of deduction throughout. This does not mean that the {{Wiki|theory}} of deduction was completely unknown to Vātsyāyana and Uddyotakara. Especially Uddyotakara was quite familiar with it.
 
However, it is evident that he intentionally disapproved of it.’1
 
However, it is evident that he intentionally disapproved of it.’1
  
In  the  historical  development  of  the  school  of  Nyāya,  the  relation  of  invariable concomitance between proban and probandum as expressed in the example of Dignāga’s new system  of  Hetuvidyā  was  denied  until  the  emergence  of  the  new  school  of  Nyāya,  the Navya-nyāya. It is in the five-membered argument of the Navya-nyāya that the example began to have the form of universal proposition. When the logical achievement of the old Nyāya and the old Hetuvidyā is overrated, it would be impossible to give a fair and faithful remark to the contribution of Dignāga to the historical transformation of the form of argument into deductive reasoning.
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In  the  historical  development  of  the  school  of  [[Nyāya]],  the  relation  of  invariable concomitance between proban and probandum as expressed in the example of Dignāga’s new system  of  [[Hetuvidyā]] was  denied  until  the  [[emergence]] of  the  new  school  of  [[Nyāya]],  the Navya-nyāya. It is in the five-membered argument of the Navya-nyāya that the example began to have the [[form]] of [[universal]] proposition. When the [[logical]] achievement of the old [[Nyāya]] and the old [[Hetuvidyā]] is overrated, it would be impossible to give a fair and faithful remark to the contribution of [[Dignāga]] to the historical [[transformation]] of the [[form]] of argument into deductive {{Wiki|reasoning}}.
In order to know to what extent the old Hetuvidyā was improved by Dignāga, we need to understand the disadvantage of the old Hetuvidyā and the advantage of the new Hetuvidyā in contrast. It was Dignāga who explicitly proclaimed the addition of two new propositions into a formula of argument. These two propositions then became the main bodies respectively of the similar  and  dissimilar  examples  in  an  argument  according  to  Dignāga.  They  were  fully expressive of the general principle, the invariable concomitance between the proban and the probandum, so that the two main disadvantages of the old Hetuvidyā were then surmounted. The reformation in this way by Dignāga was not only purposive, but also explicitly expressed, in that it was not only explicitly represented in the regular form of an argument, but also warranted by
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In [[order]] [[to know]] to what extent the old [[Hetuvidyā]] was improved by [[Dignāga]], we need [[to understand]] the disadvantage of the old [[Hetuvidyā]] and the advantage of the new [[Hetuvidyā]] in contrast. It was [[Dignāga]] who explicitly proclaimed the addition of two new propositions into a [[formula]] of argument. These two propositions then became the main [[bodies]] respectively of the similar  and  dissimilar  examples  in  an  argument  according  to  [[Dignāga]].  They  were  fully expressive of the general principle, the invariable concomitance between the proban and the probandum, so that the two main disadvantages of the old [[Hetuvidyā]] were then surmounted. The reformation in this way by [[Dignāga]] was not only purposive, but also explicitly expressed, in that it was not only explicitly represented in the regular [[form]] of an argument, but also warranted by
the main principle of a logical reason (hetu,  因), Dignāga’s new form of trairūpya. In fact, the
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the main principle of a [[logical]] [[reason]] ([[hetu]],  因), Dignāga’s new [[form]] of trairūpya. In fact, the
three characteristics of a valid reason were established according to its relation to both the similar instance (sapaka,  同品) and the dissimilar instance (vipaka,  异品). Therefore, it is clear that the subject in dispute (dharmin,  有法) should be excepted from the extension of both
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three characteristics of a valid [[reason]] were established according to its relation to both the similar instance (sapaka,  同品) and the dissimilar instance ([[vipaka]],  异品). Therefore, it is clear that the [[subject]] in dispute (dharmin,  有法) should be excepted from the extension of both
 
kinds of instances.
 
kinds of instances.
  
As a matter of fact, in the regular procedure of old Hetuvidyā, when the thesis that ‘sound is non-eternal’ is to be justified, an analogy will be drawn between the jar and the sound that the jar is produced and non-eternal, therefore the sound, as produced, should also be non-eternal. If the argument is carried out in this manner, then we can also formulate an argument in the same way
+
As a matter of fact, in the regular procedure of old [[Hetuvidyā]], when the thesis that ‘[[sound]] is non-eternal’ is to be justified, an analogy will be drawn between the jar and the [[sound]] that the jar is produced and non-eternal, therefore the [[sound]], as produced, should also be non-eternal. If the argument is carried out in this [[manner]], then we can also formulate an argument in the same way
to justify that the sound is able to be burn and is visible, because the jar is also able to be burn
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to justify that the [[sound]] is able to be burn and is [[visible]], because the jar is also able to be burn
  
  
1  KAJIYAMA Yuichi, The Basic Character of Indian Logic (印度逻辑学的基本性质), Chinese translation by ZHANG  Chunbo (张春波), Beijing: The Commercial Press 1980, p. 36. Tranlator’s note: I do not have the Japanese original, so I have to re-translate this quotation from its Chinese translation as indicated by the present author.
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1  KAJIYAMA Yuichi, The Basic [[Character]] of [[Indian]] [[Logic]] (印度逻辑学的基本性质), {{Wiki|Chinese}} translation by ZHANG  Chunbo (张春波), {{Wiki|Beijing}}: The Commercial Press 1980, p. 36. Tranlator’s note: I do not have the {{Wiki|Japanese}} original, so I have to re-translate this quotation from its {{Wiki|Chinese}} translation as indicated by the present author.
 
[[File:Nirvana-.jpg|thumb|250px|]]
 
[[File:Nirvana-.jpg|thumb|250px|]]
and is visible etc. However, the argument is totally absurd. Therefore, it is notable that the five-membered argument of old Hetuvidyā is not plausible, and its conclusion is not qualified to be sound enough. If the analogy is carried out between the subject in dispute and the similar instance in all their aspects, then it is inevitable for an argument to be lost in absurdity. Thus, it is principally impossible for the old Hetuvidyā to prevent itself from unreasonable analogy. This is the first disadvantage of the old Hetuvidyā. The second one is analogy of infinite regress. Since, if in the example of an argument, no proposition being expressive of the invariable concomitance between the proban and the probandum is added, but only several individual instances is given, then it is necessary to explain how those instances are available and reliable in this certain situation,  that  is to  form another  argument  to  justify again that  the jar  is produced and  is non-eternal. But when the other argument is formulated, yet the instance therein is also subject to further rational inspection. As a result, it is inevitable for the analogical argument of the old Hetuvidyā to be lost in infinite regress.
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and is [[visible]] etc. However, the argument is totally absurd. Therefore, it is notable that the five-membered argument of old [[Hetuvidyā]] is not plausible, and its conclusion is not qualified to be [[sound]] enough. If the analogy is carried out between the [[subject]] in dispute and the similar instance in all their aspects, then it is inevitable for an argument to be lost in absurdity. [[Thus]], it is principally impossible for the old [[Hetuvidyā]] to prevent itself from unreasonable analogy. This is the first disadvantage of the old [[Hetuvidyā]]. The second one is analogy of [[infinite]] regress. Since, if in the example of an argument, no proposition [[being]] expressive of the invariable concomitance between the proban and the probandum is added, but only several {{Wiki|individual}} instances is given, then it is necessary to explain how those instances are available and reliable in this certain situation,  that  is to  [[form]] another  argument  to  justify again that  the jar  is produced and  is non-eternal. But when the other argument is formulated, yet the instance therein is also [[subject]] to further [[rational]] inspection. As a result, it is inevitable for the analogical argument of the old [[Hetuvidyā]] to be lost in [[infinite]] regress.
In order to remove those two disadvantages of the old Hetuvidyā, a new form of argument, the three-membered argument, is formally suggested by Dignāga in his theory of new Hetuvidyā. In this form of argument, the example takes an additional proposition, e.g. ‘all those produced is
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In [[order]] to remove those two disadvantages of the old [[Hetuvidyā]], a new [[form]] of argument, the three-membered argument, is formally suggested by [[Dignāga]] in his {{Wiki|theory}} of new [[Hetuvidyā]]. In this [[form]] of argument, the example takes an additional proposition, e.g. ‘all those produced is
observed as non-eternal’, as its main body (*dāntakāya,  喻体), while the ‘jar’, which is
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observed as non-eternal’, as its main [[body]] (*dāntakāya,  喻体), while the ‘jar’, which is
formerly the main body, now becomes its explanatory aid (*dāntāśraya,  喻依). On one hand, it  is  the present main body of the example that brings into light the invariable concomitance between the proban, e.g. ‘being produced’, and the probandum, ‘being non-eternal’, so that the
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formerly the main [[body]], now becomes its explanatory aid (*dāntāśraya,  喻依). On one hand, it  is  the present main [[body]] of the example that brings into [[light]] the invariable concomitance between the proban, e.g. ‘[[being]] produced’, and the probandum, ‘[[being]] non-eternal’, so that the
analogy between the jar and the sound is rigorously limited to the properties ‘being produced’ and ‘being non-eternal’ as shared by both objects. In contrast, those irrelevant properties of an endless variety, as ‘being able to be burn’ and ‘being visible’ etc. other than ‘being non-eternal’, the probandum in question, are then excluded from the whole framework of comparison. On the other hand, when in the example, the phrase ‘all those produced’ is asserted, all those produced, e.g. the jar, lamp and lightning, are here included without any exception, so that the analogy of infinite  regress  is  then  stopped.  As  proclaimed  by  Dignāga  in  the  Nyāyamukha,  if  a three-membered argument complies with the trairūpya formulae, ‘then the [notion] which results
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analogy between the jar and the [[sound]] is rigorously limited to the properties ‘[[being]] produced’ and ‘[[being]] non-eternal’ as shared by both [[objects]]. In contrast, those irrelevant properties of an endless variety, as ‘[[being]] able to be burn’ and ‘[[being]] [[visible]]’ etc. other than ‘[[being]] non-eternal’, the probandum in question, are then excluded from the whole framework of comparison. On the other hand, when in the example, the phrase ‘all those produced’ is asserted, all those produced, e.g. the jar, [[lamp]] and lightning, are here included without any exception, so that the analogy of [[infinite]] regress  is  then  stopped.  As  proclaimed  by  [[Dignāga]] in  the  Nyāyamukha,  if  a three-membered argument complies with the trairūpya formulae, ‘then the [notion] which results
from this [process] is undoubtedly valid’1, which means being able to win the debate. From the
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from this [process] is undoubtedly valid’1, which means [[being]] able to win the [[debate]]. From the
  
view of the logical theory of our time, it means that the soundness of the conclusion or thesis, which results from a well formed three-membered argument, is highly improved.
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[[view]] of the [[logical]] {{Wiki|theory}} of our [[time]], it means that the soundness of the conclusion or thesis, which results from a well formed three-membered argument, is highly improved.
For the whole context of the three-membered argument of Dignāga’s new Hetuvidyā, the requirement of excluding the subject in dispute from both the similar and dissimilar instances, the theory of the circle of nine reasons and the new formulae of trairūpya as well are to be
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For the whole context of the three-membered argument of Dignāga’s new [[Hetuvidyā]], the requirement of excluding the [[subject]] in dispute from both the similar and dissimilar instances, the {{Wiki|theory}} of the circle of nine [[reasons]] and the new formulae of trairūpya as well are to be
 
enumerated.  All  these  insights  match  the  whole  framework  of  Dignāga’s  new  system  of
 
enumerated.  All  these  insights  match  the  whole  framework  of  Dignāga’s  new  system  of
  
  
  
1  Tranlator’s note: English translation quoted from G. TUCCI, The Nyāyamukha of Dignāga, Heidelberg: Materialien zur Kunde des Buddhismus 1930, p. 44.
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1  Tranlator’s note: English translation quoted from G. TUCCI, The Nyāyamukha of [[Dignāga]], Heidelberg: Materialien zur Kunde des Buddhismus 1930, p. 44.
  
Hetuvidyā. At first, the similar and dissimilar instances which correspond to each reason in the hetucakra have the subject in dispute as exception from both of their extension. The aim is to prevent circular reasoning. For example, in the thesis ‘sound is non-eternal’, yet the ‘sound’ is the subject in dispute at the starting point of disputation, therefore it can neither be categorized as the similar instance of what is non-eternal, nor the dissimilar instance of the same property. Otherwise, the dispute would be superfluous and both of the debaters should stop it. Therefore, to speak in its right order, the requirement of excluding the subject in dispute from both the similar and dissimilar instances can be said as the common base for the circle of nine reasons. Secondly,  the  circle  of nine  reasons  is  in  turn  summed  up  in  Dignāga’s  new  formulae  of trairūpya. Especially, the latter is based on the two valid reasons, the second and the eighth, of the circle of reasons. Thirdly, on the ground of Dignāga’s new trairūpya, the universal relation, the avinābhāva, between the proban and the probandum is much defined. Fourthly, the validity
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[[Hetuvidyā]]. At first, the similar and dissimilar instances which correspond to each [[reason]] in the hetucakra have the [[subject]] in dispute as exception from both of their extension. The aim is to prevent circular {{Wiki|reasoning}}. For example, in the thesis ‘[[sound]] is non-eternal’, yet the ‘[[sound]]’ is the [[subject]] in dispute at the starting point of disputation, therefore it can neither be categorized as the similar instance of what is non-eternal, nor the dissimilar instance of the same property. Otherwise, the dispute would be superfluous and both of the [[debaters]] should stop it. Therefore, to speak in its right [[order]], the requirement of excluding the [[subject]] in dispute from both the similar and dissimilar instances can be said as the common base for the circle of nine [[reasons]]. Secondly,  the  circle  of nine  [[reasons]] is  in  turn  summed  up  in  Dignāga’s  new  formulae  of trairūpya. Especially, the latter is based on the two valid [[reasons]], the second and the eighth, of the circle of [[reasons]]. Thirdly, on the ground of Dignāga’s new trairūpya, the [[universal]] relation, the avinābhāva, between the proban and the probandum is much defined. Fourthly, the validity
of a logical reason is embodied in both the similar example (sādharmyadānta,  同法喻)
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of a [[logical]] [[reason]] is [[embodied]] in both the similar example (sādharmyadānta,  同法喻)
and the dissimilar example (vaidharmyadānta,  异法喻), in that the third characteristic of a valid  reason, the vipake ’sattvam (异品遍无性), is embodied in the dissimilar example, and
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and the dissimilar example (vaidharmyadānta,  异法喻), in that the third [[characteristic]] of a valid  [[reason]], the vipake ’sattvam (异品遍无性), is [[embodied]] in the dissimilar example, and
both the second and the third characteristic, both the sapake sattvam (同品定有性) and the
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both the second and the third [[characteristic]], both the sapake sattvam (同品定有性) and the
vipake ’sattvam, are embodied in the similar example. It is in this way that Dignāga’s new system of Buddhist logic is erected step by step. The soundness of the argument in compliance with this system then becomes much more improved than its forerunners.
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vipake ’sattvam, are [[embodied]] in the similar example. It is in this way that Dignāga’s new system of [[Buddhist]] [[logic]] is erected step by step. The soundness of the argument in compliance with this system then becomes much more improved than its forerunners.
As we have seen, Dignāga’s reformation of the old Hetuvidyā is mainly based on his reformation of the trairūpya formulae from the view of his innovation of the circle of nine reasons. Likewise, Dharmakīrti’s reformation of the three-membered argument of Dignāga is also based on his reformation of the trairūpya formulae of Dignāga. It is Dharmakīrti who finally brings the Indian form of argument from analogy to deductive reasoning.
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As we have seen, Dignāga’s reformation of the old [[Hetuvidyā]] is mainly based on his reformation of the trairūpya formulae from the [[view]] of his innovation of the circle of nine [[reasons]]. Likewise, Dharmakīrti’s reformation of the three-membered argument of [[Dignāga]] is also based on his reformation of the trairūpya formulae of [[Dignāga]]. It is [[Dharmakīrti]] who finally brings the [[Indian]] [[form]] of argument from analogy to deductive {{Wiki|reasoning}}.
However, the trairūpya formulae of Dignāga and those of Vasubandhu are regrettably misinterpreted by F. Th. STCHERBATSKY as principally the same of Dharmakīrti. He fails to draw a clear discrimination among the separate trairūpya formulae as founded by these three logicians respectively. As a matter of fact, the main concern of Dignāga’s theory of the circle of reasons and of his trairūpya formulae is how to define the extensional relation of the logical reason (hetu,
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However, the trairūpya formulae of [[Dignāga]] and those of [[Vasubandhu]] are regrettably misinterpreted by F. Th. STCHERBATSKY as principally the same of [[Dharmakīrti]]. He fails to draw a clear {{Wiki|discrimination}} among the separate trairūpya formulae as founded by these three [[logicians]] respectively. As a matter of fact, the main [[concern]] of Dignāga’s {{Wiki|theory}} of the circle of [[reasons]] and of his trairūpya formulae is how to define the extensional relation of the [[logical]] [[reason]] ([[hetu]],
因) to the subject in dispute (dharmin,  有法), to the similar instance (sapaka,  同品) and to the
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因) to the [[subject]] in dispute (dharmin,  有法), to the similar instance (sapaka,  同品) and to the
dissimilar instance (vipaka,  异品) separately. In contrast, the main concern of Dharmakīrti is however to find an intensional definition of the logical reason as valid as being in compliance
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dissimilar instance ([[vipaka]],  异品) separately. In contrast, the main [[concern]] of [[Dharmakīrti]] is however to find an intensional definition of the [[logical]] [[reason]] as valid as [[being]] in compliance
with the trairūpya formulae. In paraphrase, the main work of Dharmakīrti is to stand on the point of view of the logical reason and to test its intensional relation to the similar instance and to the dissimilar instance respectively. It is in this way that he finally finds the three types of reason (trividha ligam) as qualified as the sufficient reason in argumentation. In sum, this kind of deviation in the starting point of logical investigation is of the principal and utmost significance as far as a clear discrimination in respect of the separate systems of logic by Dignāga and
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with the trairūpya formulae. In paraphrase, the main work of [[Dharmakīrti]] is to stand on the point of [[view]] of the [[logical]] [[reason]] and to test its intensional relation to the similar instance and to the dissimilar instance respectively. It is in this way that he finally finds the three types of [[reason]] (trividha ligam) as qualified as the sufficient [[reason]] in argumentation. In sum, this kind of deviation in the starting point of [[logical]] investigation is of the principal and utmost significance as far as a clear {{Wiki|discrimination}} in [[respect]] of the separate systems of [[logic]] by [[Dignāga]] and
 
[[File:Int phil.jpg|thumb|250px|]]
 
[[File:Int phil.jpg|thumb|250px|]]
Dharmakīrti is concerned.
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[[Dharmakīrti]] is concerned.
  
For the three types of valid reason, Dharmakīrti enumerates the reason of identity (svabhāvahetu,  自 性 因 ),  the  reason  of  causality  (kāryahetu,  果 性 因 )  and  the  reason  of non-apprehension (anupalabdhihetu,  不可得因). From the examples as presented, the reason of identity refers to the reason, the proban (sādhana, 能立), which has the relation of genus and its species with the probandum (sādhya,  所立). Here, the probandum is the genus, and the proban
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For the three types of valid [[reason]], [[Dharmakīrti]] enumerates the [[reason]] of identity (svabhāvahetu,  自 性 因 ),  the  [[reason]] of  [[causality]] (kāryahetu,  果 性 因 )  and  the  [[reason]] of non-apprehension (anupalabdhihetu,  不可得因). From the examples as presented, the [[reason]] of identity refers to the [[reason]], the proban (sādhana, 能立), which has the relation of genus and its species with the probandum (sādhya,  所立). Here, the probandum is the genus, and the proban
its species. It is also permitted that the extension of the proban matches that of the probandum. The reason of causality refers to the reason, the proban, which has the relation of causality with the probandum. Here, the probandum is the cause, and the proban its result. It is notable that the similar example and the dissimilar example based on these two types of valid reason then become genuinely the all-inclusive and universal propositions. From these two types of valid
+
its species. It is also permitted that the extension of the proban matches that of the probandum. The [[reason]] of [[causality]] refers to the [[reason]], the proban, which has the relation of [[causality]] with the probandum. Here, the probandum is the [[cause]], and the proban its result. It is notable that the similar example and the dissimilar example based on these two types of valid [[reason]] then become genuinely the all-inclusive and [[universal]] propositions. From these two types of valid
reason, the conclusion (pak  a,  宗) can be infe rred necessarily. The necessary implication
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[[reason]], the conclusion (pak  a,  宗) can be infe rred necessarily. The necessary implication
of  the  conclusion  in  its  premises  is  then  solidly  promised.  It  is  for  this  reason  that Dharmakīrti needs not to mention even in passing the previous requirement of the exclusion of the subject in dispute from both the similar and dissimilar instances. Therefore, the logical form of Dharmakīrti’s second characteristic of a valid reason, sapaka eva sattvam, is same with that of the similar example in his renewed form of argument. Furthermore, the form of the second characteristic in Dharmakīrti’s expression is the logical equivalence of the third characteristic, asapake ’sattvam eva. Likewise, the similar example and the dissimilar example are also logical equivalence in Dharmakīrti’s system.
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of  the  conclusion  in  its  premises  is  then  solidly  promised.  It  is  for  this  [[reason]] that [[Dharmakīrti]] needs not to mention even in passing the previous requirement of the exclusion of the [[subject]] in dispute from both the similar and dissimilar instances. Therefore, the [[logical]] [[form]] of Dharmakīrti’s second [[characteristic]] of a valid [[reason]], sapaka eva sattvam, is same with that of the similar example in his renewed [[form]] of argument. Furthermore, the [[form]] of the second [[characteristic]] in Dharmakīrti’s expression is the [[logical]] equivalence of the third [[characteristic]], asapake ’sattvam eva. Likewise, the similar example and the dissimilar example are also [[logical]] equivalence in Dharmakīrti’s system.
In respect of the form of argument, it is proclaimed by Dignāga in the Nyāyamukha that at first, each member of the three-membered argument is indispensable. Secondly, an argument can not be erected when only the similar example or the dissimilar example is adduced. Moreover,
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In [[respect]] of the [[form]] of argument, it is proclaimed by [[Dignāga]] in the Nyāyamukha that at first, each member of the three-membered argument is indispensable. Secondly, an argument can not be erected when only the similar example or the dissimilar example is adduced. Moreover,
the explanatory aid (*dāntāśraya,  喻依), the individual instance, of the similar example is
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the explanatory aid (*dāntāśraya,  喻依), the {{Wiki|individual}} instance, of the similar example is
indispensable, while that of the dissimilar example is not indispensable. In contrast, the form of argument according to Dharmakīrti’s system can be erected when only either of the similar example or the dissimilar example is adduced. In correspondence with only which type of example that is adduced in an argument, there are respectively the form based on similarity (sādharmyavatprayoga)  and  the  form  based  on  dissimilarity  (vaidharmyavatprayoga).
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indispensable, while that of the dissimilar example is not indispensable. In contrast, the [[form]] of argument according to Dharmakīrti’s system can be erected when only either of the similar example or the dissimilar example is adduced. In correspondence with only which type of example that is adduced in an argument, there are respectively the [[form]] based on similarity (sādharmyavatprayoga)  and  the  [[form]]   based  on  dissimilarity  (vaidharmyavatprayoga).
 
Furthermore, the thesis or conclusion (pak  a,  宗) of an argument can be omitted and is not
 
Furthermore, the thesis or conclusion (pak  a,  宗) of an argument can be omitted and is not
 
indispensable.
 
indispensable.
  
In respect of the theory of fallacies, it is no longer mentioned by Dharmakīrti the fallacy which contradicts only the second characteristic of a valid reason, which tells the fact that Dharmakīrti does no longer admit the existence of such a kind of reason which is uncertain
+
In [[respect]] of the {{Wiki|theory}} of fallacies, it is no longer mentioned by [[Dharmakīrti]] the fallacy which contradicts only the second [[characteristic]] of a valid [[reason]], which tells the fact that [[Dharmakīrti]] does no longer admit the [[existence]] of such a kind of [[reason]] which is uncertain
because of being too exclusive (asādhāraānaikāntikahetu1,  不共不定因). This is undoubtedly
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because of [[being]] too exclusive (asādhāraānaikāntikahetu1,  不共不定因). This is undoubtedly
  
1 Tranlator’s note: English translation of the term asādhāraṇānaikāntikahetu borrowed from Tom J. F. TILLEMANS, Scripture, Logic, Language: Essays on Dharmakīrti and his Tibetan Successors, Boston: Wisdom Publications 1999, p. 302.
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1 Tranlator’s note: English translation of the term asādhāraṇānaikāntikahetu borrowed from Tom J. F. TILLEMANS, [[Scripture]], [[Logic]], [[Language]]: Essays on [[Dharmakīrti]] and his [[Tibetan]] Successors, Boston: [[Wisdom Publications]] 1999, p. 302.
  
one of the most important deviations of the logical system of Dharmakīrti from that of Dignāga in regard to the theory of fallacies. In addition, it is also evidenced by this fact although in an indirect way that for Dharmakīrti, the second characteristic of a valid reason is logically equivalent to the third characteristic, while for Dignāga, they are different.
+
one of the most important deviations of the [[logical]] system of [[Dharmakīrti]] from that of [[Dignāga]] in regard to the {{Wiki|theory}} of fallacies. In addition, it is also evidenced by this fact although in an indirect way that for [[Dharmakīrti]], the second [[characteristic]] of a valid [[reason]] is [[logically]] equivalent to the third [[characteristic]], while for [[Dignāga]], they are different.
As  represented  in  the  Pramāasamuccaya,  Dignāga  in  his  late  phase  then  shifted  to concentrate on the problems of epistemology (pramāavāda,  量论), and rearranged his system
+
As  represented  in  the  Pramāasamuccaya,  [[Dignāga]] in  his  late  phase  then  shifted  to [[concentrate]] on the problems of {{Wiki|epistemology}} (pramāavāda,  量论), and rearranged his system
of new Hetuvidyā according to the concurrent topics of epistemology in his time. As Dharmakīrti arranges his thoughts of logic also in the epistemological style, it is indubitable that Dignāga lays the groundwork for Dharmakīrti’s new system of epistemology. However, when certain subjects of logic and epistemology are concerned, it is also indubitable that Dharmakīrti does deviate a lot from Dignāga. Firstly, Dignāga does not accept the reality of external objects and approves of the Yogācāra position that all of them are merely the various presentations of the consciousness. However, Dharmakīrti approves of the Sautrāntika position where the reality of the external objects is accepted. As Dharmakīrti does not admit the Yogācāra thesis of mere-consciousness, what    Xuan   Zang    strives    for    in    his    famous    argument    for    mere-consciousness
+
of new [[Hetuvidyā]] according to the concurrent topics of {{Wiki|epistemology}} in his [[time]]. As [[Dharmakīrti]] arranges his [[thoughts]] of [[logic]] also in the {{Wiki|epistemological}} style, it is indubitable that [[Dignāga]] lays the groundwork for Dharmakīrti’s new system of {{Wiki|epistemology}}. However, when certain [[subjects]] of [[logic]] and {{Wiki|epistemology}} are concerned, it is also indubitable that [[Dharmakīrti]] does deviate a lot from [[Dignāga]]. Firstly, [[Dignāga]] does not accept the [[reality]] of external [[objects]] and approves of the [[Yogācāra]] position that all of them are merely the various presentations of the [[consciousness]]. However, [[Dharmakīrti]] approves of the [[Sautrāntika]] position where the [[reality]] of the external [[objects]] is accepted. As [[Dharmakīrti]] does not admit the [[Yogācāra]] thesis of mere-consciousness, what    [[Xuan Zang]]   strives    for    in    his    famous    argument    for    mere-consciousness
(vijñāptimātrānumāna,  唯识比量) now becomes aimless for Dharmakīrti. Secondly, the validity
+
(vijñāptimātrānumāna,  唯识比量) now becomes aimless for [[Dharmakīrti]]. Secondly, the validity
of a three-membered argument is defined in Dignāga’s system of logic as the consensus (prasiddha, 极成) of both sides in debate, while the validity of an argument is defined by Dharmakīrti as a faithful reflection (sārūpya) of the essential relation (svabhāvapratibandha,  自 性相属) between what is denoted by the proban and what is denoted by the probandum. Therefore, the theory of three types of reasoning (trividham anumānam,  三种比量), the main
+
of a three-membered argument is defined in Dignāga’s system of [[logic]] as the consensus (prasiddha, 极成) of both sides in [[debate]], while the validity of an argument is defined by [[Dharmakīrti]] as a faithful reflection (sārūpya) of the [[essential]] relation (svabhāvapratibandha,  自 性相属) between what is denoted by the proban and what is denoted by the probandum. Therefore, the {{Wiki|theory}} of three types of {{Wiki|reasoning}} (trividham anumānam,  三种比量), the main
idea of which is based on Dignāga’s conception of consensus as the criterion for the validity of an argument, has lost its place and its raison d’être in Dharmakīrti’s system of logic. In this respect,  it  is  not  difficult  to understand  that  the  vijñāptimātrānumāna,  the  inference  for mere-consciousness, which is one of the most famous arguments formulated according to the theory of three types of reasoning, is just ‘a matter of expediency’ (一时之用).
+
[[idea]] of which is based on Dignāga’s conception of consensus as the criterion for the validity of an argument, has lost its place and its raison d’être in Dharmakīrti’s system of [[logic]]. In this [[respect]],  it  is  not  difficult  [[to understand]] that  the  vijñāptimātrānumāna,  the  inference  for mere-consciousness, which is one of the most famous arguments formulated according to the {{Wiki|theory}} of three types of {{Wiki|reasoning}}, is just ‘a matter of expediency’ (一时之用).
  
The Research Institute of Chinese Classics
+
The Research Institute of {{Wiki|Chinese}} Classics
 
</poem>
 
</poem>
 
{{R}}
 
{{R}}

Revision as of 23:32, 31 August 2013

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There is still a fashionable misunderstanding among scholars both in China and abroad. They think that the first deductive theory in the history of Indian logic should not be owed to Buddhism, but to the early Nyāya. In fact, Dignāga and Dharmakīrti are two summits of Buddhist logic as well as Indian logic, in that Dignāga lays the groundwork for the first deductive theory in Indian logic, and Dharmakīrti finally transforms the Indian logic fro m analogy to deduction, which is the first time that Indian logic reaches the level of western syllogism.
Key words: Indian Buddhist Logic; Hetuvidyā; Dignāga; Dharmakīrti

The main task of my research on Buddhist logic is to depict in an accurate manner Dignāga and Dharmakīrti’s respective systems of logic, and to discover the fundamental difference between these two summits of Indian Buddhist logic. This task is not only related to the correct discernment of different phases in the history of Buddhist logic according to their respective features, but also based on the careful examination of basic texts, e.g. based on the correct interpretation of Dignāga’s Nyāyamukha, which represents his early ideas of Buddhist logic. This task is also related to the appropriate application of a variety of perspectives, e.g. the holistic perspective, the historicist perspective and the perspective of comparative studies of Buddhist and western logic. In addition, I am also very concerned to draw on the results of comparative studies of Sanskrit, Chinese and Tibetan texts.
There are two main streams of Indian logic, the Nyāya logic and Buddhist logic. The first system of Indian logic was set forth in the Nyāyasūtra of the Nyāya School. However, the first deductive theory in the history of Indian logic should be owed to Buddhist logic. In fact, Dignāga laid the groundwork for the first deductive theory in Indian logic, and Dharmakīrt i finally transformed Indian logic from analogy to deduction, which was the first time that Indian logic reached the level of western syllogism.
A fair amount of important works on the history of Indian Buddhist logic and the history of Indian logic abroad have made unfair remarks about Dignāga and Dharmakīrti’s contribution to the development of Indian logic. Their expositions of Dignāga and Dharmakīrti’s systems of logic are also inaccurate. However, they have a great influence on those typical works in China on Buddhist philosophy and Buddhist logic.
As a matter of fact, the Neo-Hetuvidyā system of logic as founded by Buddhist theoreticians is ignored in the context of Indian logic in general. The native scholars in India pay less attention to the contribution of Buddhist logic to Indian logic. In sum, the ignorance of Dignāga and

Dharmakīrti’s logic to the establishment of deductive theory in the history of Indian logic is due to the fact that most part of the scholars over the world can not provide a clear account of the origin and development of deductive theory in the history of Indian logic. They erroneously state that there has already been an all-inclusive premise in the five-membered
argument (pañcāvayava, 五分论式) of old Nyāya, and this five-membered argument is hence
deductive. For instance, Dr. B. L. ATREYA says in his The Elements of Indian Logic that ‘they have acquired a very clear conception of the process of reasoning so that no doubt is left in the mind of those they talk with. All the Euclidean principles are included in this indicative type of reasoning.’ The statement of example (udāharaa) in the five-membered argument here is
‘whatever is smoky is fiery, as a kitchen’1.

It is said in the Buddhist Logic of F. Th. STCHERBATSKY that in the canon of early Nyāya,
‘the school of Nyāya had already a developed logic’, and it was ‘a theory of the syllogism’2. Their five-membered argument is said to be ‘inductive-deductive’3. In spite of the claim that
‘only in the reformed new brahmanical logic ... the theory of syllogism begins to play the central part’4, the five-membered argument adopted there to illustrate the reasoning of early Nyāya has already betrayed the character of deduction:
1. Thesis. The mountain has fire.

2. Reason. Because, it has smoke.

3. Example. As in the kitchen; wheresoever smoke, there also fire [my italics].

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4. Application. The mountain has smoke.
5. Conclusion. The mountain has fire.5
However, what is actually implied in the example is no more than ‘there is both smoke and fire in the kitchen’, neither ‘whatever is smoky is fiery’ nor ‘where there is smoke, there is necessarily fire’. As claimed by STCHERBATSKY, ‘when Dignāga started on his logical reform he was faced by the theory of a five-membered syllogism established in the school of the Naiyāyiks [sic!].’ The example of the five-membered argument illustrated on that page is



1 Dr. B. L. ATREYA, The Elements of Indian Logic (印度 理学 要), Chinese translation by YANG Guobin (
国 ), Shanghai: The Commercial Press 1936, pp. 36-37. Tranlator’s note: I do not have the English original, so I have to re-translate this quotation from its Chinese translation as indicated by the present author.
2 F. Th. STCHERBATSKY, Buddhist Logic ( ), Chinese translation by SONG Lidao ( ) and SHU Xiaowei ( ), Beijing: The Commercial Press 1997, p. 33. Tranlator’s note: See F. Th. STCHERBATSKY, Buddhist Logic, Vol. I, New York: Dover Publications, Inc. 1962, p. 26.
3 F. Th. STCHERBATSKY, Buddhist Logic, Chinese translation, p. 32. Tranlator’s note: See F. Th.
STCHERBATSKY, Buddhist Logic, Vol. I, p. 26.
4 F. Th. STCHERBATSKY, Buddhist Logic, Chinese translation, p. 34. Tranlator’s note: See F. Th. STCHERBATSKY, Buddhist Logic, Vol. I, p. 27.
5 F. Th. STCHERBATSKY, Buddhist Logic, Chinese translation, p. 32. Tranlator’s note: See F. Th.
STCHERBATSKY, Buddhist Logic, Vol. I, p. 26.

‘whereever [sic!] smoke, there fire’1, which is equal to ‘whatever is smoky is fiery’.

In contemporary India, D. CHATTOPADHYAYA is a famous historian of Indian philosophy. However, in his Indian Philosophy: A Popular Introduction in 1964, the presentation of the form of argument according to old Nyāya does not go beyond the paradigm of STCHERBATSKY. In this book, he quotes the view of other scholar ‘that syllogistic reasoning formed the special theme of this philosophy and that nyāya meant illustration or example (udāharaa), conceived by this
system as constituting the most important of the five members of the syllogistic expression.’2

Accordingly, he thinks that the old Nyāya has already developed the theory of deductive reasoning. In his opinion, the example of the five-membered argument of the Nyāya School before Dignāga has already had the form that ‘whatever has smoke has fire, e.g., an oven’, and
‘it was left for Dignāga, the Buddhist logician, to revolutionise the form of the demonstrative inference by reducing the number of its members to only two.’ 3 In addition to the misunderstanding that the example of old Nyāya has the form of universal proposition expressing certain kind of necessary relation, he also inappropriately claims on one hand that Dignāga’s transformation of the five-membered argument is a sheer reduction of its members from five to only two, and on the other hand, misleadingly ascribes to Dignāga the
two-membered argument, which is in fact invented by Dharmakīrti. It is thus clear that even the native historians of Indian philosophy in contemporary India also have certain misunderstandings about the development of Indian logic. However, if the five-membered argument of old Nyāya were deductive reasoning, the contribution of Dignāga and Dharmakīrti would then be of trifling significance.
Moreover, The New Encyclopædia Britannica: Macropædia4 gives the same remark as that

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of STCHERBATSKY to the five-membered argument in the Nyāyasūtra. In China, there are also a variety of works on Indian philosophy in which the above misunderstandings are usually repeated. It is unnecessary here to quote from them respectively.
A rare exception is the remark of Mr. TANG Yongtong (汤用彤). In his A Brief History of
Indian Philosophy (印度哲学史略), the presentation of the five-membered argument is slightly but significantly different from that of STCHERBATSKY. The example here does not adopt the form as universal proposition, but the form that ‘as a kitchen, where the smoke and fire are


1 F. Th. STCHERBATSKY, Buddhist Logic, Chinese translation, p. 322. Tranlator’s note: See F. Th. STCHERBATSKY, Buddhist Logic, Vol. I, p. 279.
2 D. CHATTOPADHYAYA, Indian Philosophy: A Popular Introduction ( 印度哲学), Chinese translation by
HUANG Baosheng (黄宝生) and GUO Liangyun (郭良鋆), Beijing: The Commercial Press 1980, p. 160. Tranlator’s note: See D. CHATTOPADHYAYA, Indian Philosophy: A Popular Introduction, New Delhi: People’s Publishing House 2007, p. 160.
3 D. CHATTOPADHYAYA, Indian Philosophy: A Popular Introduction, Chinese translation, p. 179. Tranlator’s
note: See D. CHATTOPADHYAYA, Indian Philosophy: A Popular Introduction, pp. 181-182.
4 The New Encyclopædia Britannica: Macropædia, 1993, Vol. 21, ‘Indian Philosophy’, pp. 191-212.

discerned’1, from which the whole reasoning is then not deduction but analogy. It is noted by Mr. TANG that ‘however, to place most of the emphasis on the reason and to pay the special attention to the relation of pervasion is probably the later doctrine after the emergence of Buddhist Neo-Hetuvidyā, while the early masters of the Nyāya School have not advanced a theory like this.’2 This remark of Mr. TANG is based on historical fact.
The earliest record of the five-membered argument in the history of Indian logic appeared in the Carakasahitā, a book on internal medicine compiled by the famous doctor Caraka in the early 2nd century A.D. on the basis of the materials from the 5th century B.C. In the Carakasahitā, the definition of the example (dānta) in five-membered argument is
‘drishtānta [sic!], verily, is that which effects an equality of apprehension among both the ignorant and the learned, and which illustrates the proposition to be established.’3 Here, the example means illustration, and the five-membered argument as quoted does not have a judgment as the main body of example. The definition of example in the Nyāyasūtra is ‘the example is an illustration which, being similar to that which is to be proved, has its character. Or else, being opposite to it, is contrary.’4 No instance of five-membered argument is given here. However, from this definition, we know that the main body of example is the illustration itself, but not certain kind of proposition summarizing the general principle from that illustration. In the Tarkaśāstra of Vasubandhu, which represents the highest achievement of the old Hetuvidyā, the example in an argument includes a general proposition as its main body and an illustration as the basis of that proposition. This new form of example then inspired Dignāga to the invention of
three-membered argument. However, Vasubandhu himself does not have a theory to support the universal proposition as the regularized form of example. It seems that he only knew it occasionally but not the reason why it should be this form. Therefore, the establishment of a completely fresh form of argument, the three-membered argument, in the history of Indian logic can not be ascribed to Vasubandhu either.
It is noted by the Japanese scholar, Prof. KAJIYAMA Yuichi (梶山雄一), that the relation of
invariable concomitance (avinābhāva) between proban and probandum is not reflected in the example of the five-membered argument of the old Nyāya. Because the old school of Nyāya


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1 TANG Yongtong ( ), A Brief History of Indian Philosophy ( ), Beijing: Zhonghua Book Company 1988, p.

131.
2 TANG Yongtong, A Brief History of Indian Philosophy, p. 131.
3 SHEN Jianying (沈 英), ‘The Theory of Argumentation in the Carakasaṃhitā’ (《遮 迦本集》的 学
), in Jiechuang Buddhist Studies ( 戒幢佛 学), Vol. 1, Changsha: Yuelu Publishing House 2002, p. 5. Tranlator’s note: English translation quoted from K. M. GANGULI, Charaka-Samhita translated into English, Calcutta: Avinash Chandra Kaviratna 1890–1903, pp. 568-569.
4 Gang Xiao (刚晓), The Nyāyasūtra Explained (正理经解说), Beijing: China Religious Culture Publisher
2005, p. 290. Tranlator’s note: Nyāyasūtra 1. 1. 36-37. English translation quoted from Jonardon GANERI,
‘Ancient Indian Logic as a Theory of Case-Based Reasoning’, in Journal of Indian Philosophy 31 (2003): 35.

traditionally upholds the realist thesis. They recognize only the relation between individuals but not between properties in general. In this regard, the basis of reasoning is nothing but the concrete things as experienced. Therefore, ‘from the author of the Nyāyasūtra to Vātsyāyana, and finally to Uddyotakara, the traditional standpoint of the school of Nyāya is opposed to the theory of deduction throughout. This does not mean that the theory of deduction was completely unknown to Vātsyāyana and Uddyotakara. Especially Uddyotakara was quite familiar with it.
However, it is evident that he intentionally disapproved of it.’1

In the historical development of the school of Nyāya, the relation of invariable concomitance between proban and probandum as expressed in the example of Dignāga’s new system of Hetuvidyā was denied until the emergence of the new school of Nyāya, the Navya-nyāya. It is in the five-membered argument of the Navya-nyāya that the example began to have the form of universal proposition. When the logical achievement of the old Nyāya and the old Hetuvidyā is overrated, it would be impossible to give a fair and faithful remark to the contribution of Dignāga to the historical transformation of the form of argument into deductive reasoning.
In order to know to what extent the old Hetuvidyā was improved by Dignāga, we need to understand the disadvantage of the old Hetuvidyā and the advantage of the new Hetuvidyā in contrast. It was Dignāga who explicitly proclaimed the addition of two new propositions into a formula of argument. These two propositions then became the main bodies respectively of the similar and dissimilar examples in an argument according to Dignāga. They were fully expressive of the general principle, the invariable concomitance between the proban and the probandum, so that the two main disadvantages of the old Hetuvidyā were then surmounted. The reformation in this way by Dignāga was not only purposive, but also explicitly expressed, in that it was not only explicitly represented in the regular form of an argument, but also warranted by
the main principle of a logical reason (hetu, 因), Dignāga’s new form of trairūpya. In fact, the
three characteristics of a valid reason were established according to its relation to both the similar instance (sapaka, 同品) and the dissimilar instance (vipaka, 异品). Therefore, it is clear that the subject in dispute (dharmin, 有法) should be excepted from the extension of both
kinds of instances.

As a matter of fact, in the regular procedure of old Hetuvidyā, when the thesis that ‘sound is non-eternal’ is to be justified, an analogy will be drawn between the jar and the sound that the jar is produced and non-eternal, therefore the sound, as produced, should also be non-eternal. If the argument is carried out in this manner, then we can also formulate an argument in the same way
to justify that the sound is able to be burn and is visible, because the jar is also able to be burn


1 KAJIYAMA Yuichi, The Basic Character of Indian Logic (印度逻辑学的基本性质), Chinese translation by ZHANG Chunbo (张春波), Beijing: The Commercial Press 1980, p. 36. Tranlator’s note: I do not have the Japanese original, so I have to re-translate this quotation from its Chinese translation as indicated by the present author.

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and is visible etc. However, the argument is totally absurd. Therefore, it is notable that the five-membered argument of old Hetuvidyā is not plausible, and its conclusion is not qualified to be sound enough. If the analogy is carried out between the subject in dispute and the similar instance in all their aspects, then it is inevitable for an argument to be lost in absurdity. Thus, it is principally impossible for the old Hetuvidyā to prevent itself from unreasonable analogy. This is the first disadvantage of the old Hetuvidyā. The second one is analogy of infinite regress. Since, if in the example of an argument, no proposition being expressive of the invariable concomitance between the proban and the probandum is added, but only several individual instances is given, then it is necessary to explain how those instances are available and reliable in this certain situation, that is to form another argument to justify again that the jar is produced and is non-eternal. But when the other argument is formulated, yet the instance therein is also subject to further rational inspection. As a result, it is inevitable for the analogical argument of the old Hetuvidyā to be lost in infinite regress.
In order to remove those two disadvantages of the old Hetuvidyā, a new form of argument, the three-membered argument, is formally suggested by Dignāga in his theory of new Hetuvidyā. In this form of argument, the example takes an additional proposition, e.g. ‘all those produced is
observed as non-eternal’, as its main body (*dāntakāya, 喻体), while the ‘jar’, which is
formerly the main body, now becomes its explanatory aid (*dāntāśraya, 喻依). On one hand, it is the present main body of the example that brings into light the invariable concomitance between the proban, e.g. ‘being produced’, and the probandum, ‘being non-eternal’, so that the
analogy between the jar and the sound is rigorously limited to the properties ‘being produced’ and ‘being non-eternal’ as shared by both objects. In contrast, those irrelevant properties of an endless variety, as ‘being able to be burn’ and ‘being visible’ etc. other than ‘being non-eternal’, the probandum in question, are then excluded from the whole framework of comparison. On the other hand, when in the example, the phrase ‘all those produced’ is asserted, all those produced, e.g. the jar, lamp and lightning, are here included without any exception, so that the analogy of infinite regress is then stopped. As proclaimed by Dignāga in the Nyāyamukha, if a three-membered argument complies with the trairūpya formulae, ‘then the [notion] which results
from this [process] is undoubtedly valid’1, which means being able to win the debate. From the

view of the logical theory of our time, it means that the soundness of the conclusion or thesis, which results from a well formed three-membered argument, is highly improved.
For the whole context of the three-membered argument of Dignāga’s new Hetuvidyā, the requirement of excluding the subject in dispute from both the similar and dissimilar instances, the theory of the circle of nine reasons and the new formulae of trairūpya as well are to be
enumerated. All these insights match the whole framework of Dignāga’s new system of



1 Tranlator’s note: English translation quoted from G. TUCCI, The Nyāyamukha of Dignāga, Heidelberg: Materialien zur Kunde des Buddhismus 1930, p. 44.

Hetuvidyā. At first, the similar and dissimilar instances which correspond to each reason in the hetucakra have the subject in dispute as exception from both of their extension. The aim is to prevent circular reasoning. For example, in the thesis ‘sound is non-eternal’, yet the ‘sound’ is the subject in dispute at the starting point of disputation, therefore it can neither be categorized as the similar instance of what is non-eternal, nor the dissimilar instance of the same property. Otherwise, the dispute would be superfluous and both of the debaters should stop it. Therefore, to speak in its right order, the requirement of excluding the subject in dispute from both the similar and dissimilar instances can be said as the common base for the circle of nine reasons. Secondly, the circle of nine reasons is in turn summed up in Dignāga’s new formulae of trairūpya. Especially, the latter is based on the two valid reasons, the second and the eighth, of the circle of reasons. Thirdly, on the ground of Dignāga’s new trairūpya, the universal relation, the avinābhāva, between the proban and the probandum is much defined. Fourthly, the validity
of a logical reason is embodied in both the similar example (sādharmyadānta, 同法喻)
and the dissimilar example (vaidharmyadānta, 异法喻), in that the third characteristic of a valid reason, the vipake ’sattvam (异品遍无性), is embodied in the dissimilar example, and
both the second and the third characteristic, both the sapake sattvam (同品定有性) and the
vipake ’sattvam, are embodied in the similar example. It is in this way that Dignāga’s new system of Buddhist logic is erected step by step. The soundness of the argument in compliance with this system then becomes much more improved than its forerunners.
As we have seen, Dignāga’s reformation of the old Hetuvidyā is mainly based on his reformation of the trairūpya formulae from the view of his innovation of the circle of nine reasons. Likewise, Dharmakīrti’s reformation of the three-membered argument of Dignāga is also based on his reformation of the trairūpya formulae of Dignāga. It is Dharmakīrti who finally brings the Indian form of argument from analogy to deductive reasoning.
However, the trairūpya formulae of Dignāga and those of Vasubandhu are regrettably misinterpreted by F. Th. STCHERBATSKY as principally the same of Dharmakīrti. He fails to draw a clear discrimination among the separate trairūpya formulae as founded by these three logicians respectively. As a matter of fact, the main concern of Dignāga’s theory of the circle of reasons and of his trairūpya formulae is how to define the extensional relation of the logical reason (hetu,
因) to the subject in dispute (dharmin, 有法), to the similar instance (sapaka, 同品) and to the
dissimilar instance (vipaka, 异品) separately. In contrast, the main concern of Dharmakīrti is however to find an intensional definition of the logical reason as valid as being in compliance
with the trairūpya formulae. In paraphrase, the main work of Dharmakīrti is to stand on the point of view of the logical reason and to test its intensional relation to the similar instance and to the dissimilar instance respectively. It is in this way that he finally finds the three types of reason (trividha ligam) as qualified as the sufficient reason in argumentation. In sum, this kind of deviation in the starting point of logical investigation is of the principal and utmost significance as far as a clear discrimination in respect of the separate systems of logic by Dignāga and

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Dharmakīrti is concerned.

For the three types of valid reason, Dharmakīrti enumerates the reason of identity (svabhāvahetu, 自 性 因 ), the reason of causality (kāryahetu, 果 性 因 ) and the reason of non-apprehension (anupalabdhihetu, 不可得因). From the examples as presented, the reason of identity refers to the reason, the proban (sādhana, 能立), which has the relation of genus and its species with the probandum (sādhya, 所立). Here, the probandum is the genus, and the proban
its species. It is also permitted that the extension of the proban matches that of the probandum. The reason of causality refers to the reason, the proban, which has the relation of causality with the probandum. Here, the probandum is the cause, and the proban its result. It is notable that the similar example and the dissimilar example based on these two types of valid reason then become genuinely the all-inclusive and universal propositions. From these two types of valid
reason, the conclusion (pak a, 宗) can be infe rred necessarily. The necessary implication
of the conclusion in its premises is then solidly promised. It is for this reason that Dharmakīrti needs not to mention even in passing the previous requirement of the exclusion of the subject in dispute from both the similar and dissimilar instances. Therefore, the logical form of Dharmakīrti’s second characteristic of a valid reason, sapaka eva sattvam, is same with that of the similar example in his renewed form of argument. Furthermore, the form of the second characteristic in Dharmakīrti’s expression is the logical equivalence of the third characteristic, asapake ’sattvam eva. Likewise, the similar example and the dissimilar example are also logical equivalence in Dharmakīrti’s system.
In respect of the form of argument, it is proclaimed by Dignāga in the Nyāyamukha that at first, each member of the three-membered argument is indispensable. Secondly, an argument can not be erected when only the similar example or the dissimilar example is adduced. Moreover,
the explanatory aid (*dāntāśraya, 喻依), the individual instance, of the similar example is
indispensable, while that of the dissimilar example is not indispensable. In contrast, the form of argument according to Dharmakīrti’s system can be erected when only either of the similar example or the dissimilar example is adduced. In correspondence with only which type of example that is adduced in an argument, there are respectively the form based on similarity (sādharmyavatprayoga) and the form based on dissimilarity (vaidharmyavatprayoga).
Furthermore, the thesis or conclusion (pak a, 宗) of an argument can be omitted and is not
indispensable.

In respect of the theory of fallacies, it is no longer mentioned by Dharmakīrti the fallacy which contradicts only the second characteristic of a valid reason, which tells the fact that Dharmakīrti does no longer admit the existence of such a kind of reason which is uncertain
because of being too exclusive (asādhāraānaikāntikahetu1, 不共不定因). This is undoubtedly

1 Tranlator’s note: English translation of the term asādhāraṇānaikāntikahetu borrowed from Tom J. F. TILLEMANS, Scripture, Logic, Language: Essays on Dharmakīrti and his Tibetan Successors, Boston: Wisdom Publications 1999, p. 302.

one of the most important deviations of the logical system of Dharmakīrti from that of Dignāga in regard to the theory of fallacies. In addition, it is also evidenced by this fact although in an indirect way that for Dharmakīrti, the second characteristic of a valid reason is logically equivalent to the third characteristic, while for Dignāga, they are different.
As represented in the Pramāasamuccaya, Dignāga in his late phase then shifted to concentrate on the problems of epistemology (pramāavāda, 量论), and rearranged his system
of new Hetuvidyā according to the concurrent topics of epistemology in his time. As Dharmakīrti arranges his thoughts of logic also in the epistemological style, it is indubitable that Dignāga lays the groundwork for Dharmakīrti’s new system of epistemology. However, when certain subjects of logic and epistemology are concerned, it is also indubitable that Dharmakīrti does deviate a lot from Dignāga. Firstly, Dignāga does not accept the reality of external objects and approves of the Yogācāra position that all of them are merely the various presentations of the consciousness. However, Dharmakīrti approves of the Sautrāntika position where the reality of the external objects is accepted. As Dharmakīrti does not admit the Yogācāra thesis of mere-consciousness, what Xuan Zang strives for in his famous argument for mere-consciousness
(vijñāptimātrānumāna, 唯识比量) now becomes aimless for Dharmakīrti. Secondly, the validity
of a three-membered argument is defined in Dignāga’s system of logic as the consensus (prasiddha, 极成) of both sides in debate, while the validity of an argument is defined by Dharmakīrti as a faithful reflection (sārūpya) of the essential relation (svabhāvapratibandha, 自 性相属) between what is denoted by the proban and what is denoted by the probandum. Therefore, the theory of three types of reasoning (trividham anumānam, 三种比量), the main
idea of which is based on Dignāga’s conception of consensus as the criterion for the validity of an argument, has lost its place and its raison d’être in Dharmakīrti’s system of logic. In this respect, it is not difficult to understand that the vijñāptimātrānumāna, the inference for mere-consciousness, which is one of the most famous arguments formulated according to the theory of three types of reasoning, is just ‘a matter of expediency’ (一时之用).

The Research Institute of Chinese Classics

Source

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