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=== हेतुः ॥ Hetu : Statement of Reasoning ===
 
=== हेतुः ॥ Hetu : Statement of Reasoning ===
Statement of Reasoning which establishes the conclusion on the strength of the similarity of the case in hand with known similar or opposite examples or illustrations. It is based on Anumana pramana.<blockquote>उदाहरणसाधर्म्यात्साध्यसाधनं हेतुः॥३४॥ {हेतुलक्षणम्} तथा वैधर्म्यात्॥३५॥ {हेतुलक्षणम्} (Nyay. Sutr. 1.1.34 and 35)<ref name=":4" /></blockquote>Hetu is that (statement or sentences) which demonstrates, proves the thing to be known (Sadhya), through its similarity and through dissimilarity to the Udaharana (an example, a Corroborative Instance).<blockquote>उदाहरणेन सामान्यात्साध्यस्य धर्मस्य साधनं प्रज्ञापनं हेतुः । साध्ये प्रतिसंधाय धर्ममुदाहरणे च प्रतिसंधाय तस्य साधनतावचनं हेतुः उत्पत्तिधर्मकत्वादिति । उत्पत्तिधर्मकमनित्यं दृष्टमिति । उदाहरणवैधर्म्याच्च साध्यसाधनं हेतुः । कथम् अनित्यः शब्दः उत्पत्तिधर्मकं नित्यं यथा आत्मादिद्रव्यनिति ॥ (Vats. Bhas. Nyay. Sutr. 1.1.34 and 35) (PDF Pages 88 and 89 of <ref name=":5" />)</blockquote>That (sentences, statements) which demonstrates the property to be proved (as belonging to the Subject) through a property common to the Udahara or example is called the Hetu. When one notices a certain property in the subject (pertinent to the conclusion to be proved) and notices the same property also in the example, and then puts forward that property as a proof statement to assert the Sadhya - this is called the Hetu. As for the example : Sound is non-eternal, we have the statement "because sound has the characteristic of being a 'product' (उत्पत्तिधर्मकत्वम्); it has been known that everything that is a product is not eternal."  
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Statement of Reasoning which establishes the conclusion on the strength of the similarity of the case in hand with known similar or opposite examples or illustrations. It is based on Anumana pramana.<blockquote>उदाहरणसाधर्म्यात्साध्यसाधनं हेतुः॥३४॥ {हेतुलक्षणम्} तथा वैधर्म्यात्॥३५॥ {हेतुलक्षणम्} (Nyay. Sutr. 1.1.34 and 35)<ref name=":4" /></blockquote>Hetu is that (statement or sentences) which demonstrates, proves the thing to be known (Sadhya), through its similarity and through dissimilarity to the Udaharana (an example, a Corroborative Instance).<blockquote>उदाहरणेन सामान्यात्साध्यस्य धर्मस्य साधनं प्रज्ञापनं हेतुः । साध्ये प्रतिसंधाय धर्ममुदाहरणे च प्रतिसंधाय तस्य साधनतावचनं हेतुः उत्पत्तिधर्मकत्वादिति । उत्पत्तिधर्मकमनित्यं दृष्टमिति । उदाहरणवैधर्म्याच्च साध्यसाधनं हेतुः । कथम् अनित्यः शब्दः उत्पत्तिधर्मकं नित्यं यथा आत्मादिद्रव्यनिति ॥ (Vats. Bhas. Nyay. Sutr. 1.1.34 and 35) (PDF Pages 88 and 89 of <ref name=":5" />)</blockquote>That (sentences, statements) which demonstrates the property to be proved (as belonging to the Subject) through a property common to the Udaharana or example is called the Hetu. When one notices a certain property in the subject (pertinent to the conclusion to be proved) and notices the same property also in the example, and then puts forward that property as a proof statement to assert the Sadhya (something to be proved) - this is called the Hetu. As for the example : Sound is non-eternal, we have the statement "because sound has the characteristic of being a 'product' (उत्पत्तिधर्मकत्वम्); it has been known that everything that is a product is not eternal."  
    
Hetu also comprises of the statement of dissimilarity of the object of comparison with the Subject. As for the example : Sound is non-eternal, because it has the characteristic of being <nowiki>''</nowiki>produced'. That which does not have the characteristic of being produced is always 'eternal', e.g., substances such as the Atman and the like. (Book Page No 64 and 65 of <ref name=":6" />)
 
Hetu also comprises of the statement of dissimilarity of the object of comparison with the Subject. As for the example : Sound is non-eternal, because it has the characteristic of being <nowiki>''</nowiki>produced'. That which does not have the characteristic of being produced is always 'eternal', e.g., substances such as the Atman and the like. (Book Page No 64 and 65 of <ref name=":6" />)
    
=== उदाहरणम् ॥ Udaharana : Statement of Instance ===
 
=== उदाहरणम् ॥ Udaharana : Statement of Instance ===
Udaharana is the Statement of Instance (similar or opposite examples or illustrations) and based on Pratyaksha pramana. <blockquote>साध्यसाधर्म्यात्तद्धर्मभावी दृष्टान्तः उदाहरणम् ॥३६॥ {उदाहरणलक्षणम्} तद्विपर्ययात्वा विपरीतम्॥३७॥{उदाहरणलक्षणम्} (Nyay. Sutr. 1.1.36 and 37)<ref name=":4" /></blockquote>Udaharana is that illustration (दृष्टान्तः) about a property of a familiar instance which is common or concomitant (साधर्म्याम्) with what has to be proved in Sadhya (साध्यः).<blockquote>साध्येन साधर्म्यं समानधर्मता साध्यसाधर्म्य त्कारणात्तद्धर्मभावी दृष्टान्त इति । तस्य धर्मस्तद्धर्मः । तस्य साध्यस्य । साध्यं च द्विविधं धर्मिविशिष्टो वा धर्मः शब्दस्यानित्यत्वं धर्मिविशिष्टो वा धर्मि अनित्यः शब्द इति। ... तस्य धर्मस्तद्धर्मस्तस्य भावस्तद्धर्मभावः स यस्मिन् दृष्टान्ते वर्तते स दृष्टान्तः साध्यसाधर्म्यात्तद्धर्मभावी भवति स चोदाहरणमिष्यते तच्च यदुत्पद्यते तदुत्पत्तिधर्मकम् । (Vats. Bhas. Nyay. Sutr. 1.1.36 and 37) (PDF Pages 89 and 90 of Reference<ref name=":5" />)</blockquote>Similarity to what is proved consists in the presence of the same property in both; when by reason of this similarity, the familiar instance is found to be possessed of a character of that same i.e., tha character of what is to be proved. What is to be proved is of two kinds  
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Udaharana is the Statement of Instance (similar or opposite examples or illustrations) and based on Pratyaksha pramana. <blockquote>साध्यसाधर्म्यात्तद्धर्मभावी दृष्टान्त उदाहरणम् ॥३६॥ {उदाहरणलक्षणम्} तद्विपर्ययाद्वा विपरीतम्॥३७॥{उदाहरणलक्षणम्} (Nyay. Sutr. 1.1.36 and 37)<ref name=":4" /></blockquote>Udaharana is that illustration (दृष्टान्तः) about a property of a familiar instance which is common or concomitant (साधर्म्याम्) with what has to be proved in Sadhya (साध्यः).<blockquote>साध्येन साधर्म्यं समानधर्मता साध्यसाधर्म्य त्कारणात्तद्धर्मभावी दृष्टान्त इति । तस्य धर्मस्तद्धर्मः । तस्य साध्यस्य । साध्यं च द्विविधं धर्मिविशिष्टो वा धर्मः शब्दस्यानित्यत्वं धर्मिविशिष्टो वा धर्मि अनित्यः शब्द इति। ... तस्य धर्मस्तद्धर्मस्तस्य भावस्तद्धर्मभावः स यस्मिन् दृष्टान्ते वर्तते स दृष्टान्तः साध्यसाधर्म्यात्तद्धर्मभावी भवति स चोदाहरणमिष्यते तच्च यदुत्पद्यते तदुत्पत्तिधर्मकम् । (Vats. Bhas. Nyay. Sutr. 1.1.36 and 37) (PDF Pages 89 and 90 of Reference<ref name=":5" />)</blockquote>Similarity to what is proved consists in the presence of the same property in both; when by reason of this similarity, the familiar instance is found to be possessed of a character of that same i.e., tha character of what is to be proved. What is to be proved is of two kinds  
 
# in some cases it is the property as qualified by (belonging to) the object; as when we assert the "non-eternality of sound".
 
# in some cases it is the property as qualified by (belonging to) the object; as when we assert the "non-eternality of sound".
 
# In others it is the object as qualified by the property,as when we assert that "sound is non eternal"; and it is this latter that is referred to by the pronoun "tat". (Page No 65 to 68 Reference <ref name=":6" />).
 
# In others it is the object as qualified by the property,as when we assert that "sound is non eternal"; and it is this latter that is referred to by the pronoun "tat". (Page No 65 to 68 Reference <ref name=":6" />).

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