Book Title: Jain Nyaya ka Vikas
Author(s): Nathmalmuni
Publisher: Nathmal Muni

View full book text
Previous | Next

Page 91
________________ ( 75 ) ન વોનોમે વિરોધ ની પ્રતીતિ હોતી હૈ । સ્વભાવ મે વિરોધ નહી હોતા, નિર્ सापेक्षता के द्वारा इनके विरोध का परिहार किया जाता है । 5 स्यादवाद के सदर्भ मे वैज्ञानिक सापेक्षवाद का अध्ययन बहुत ही महत्वपूर्ण है। ઇ સાહ્યિંળી વિશેષજ્ઞો ને સ્વાાવ ળી સપ્તમની ને સાહ્યબી (statistics) सिद्धान्त के आधाररूप में प्रस्तुत किया है । इस विषय मे प्रो० PC Mahalanobis का लेख વડુત माननीय है । उसका कुछ प्रश इस प्रकार है ssion I should now like to make some bief observations of my own on the connexion between Indian-Jaina views and the foundations of statistical theory I have already pointed out that the fourth category of syadvada, namely, avaktavya or the "indeterminate" is a synthesis of three earlier categories of (1) assertion ("it 18"), (2) negation ("it is not"), and (3) assertion and negation in succeThe fourth category of syadvada, therefore, seems to me to be in essence the Qualitative (but not quantitative) aspect of the modern concept of probability Used in a purely qualiative sense, the fourth category of predication in Jaina logic corresponds precisely to the meaning of probability which covers the possibility of (a) something existing, (b) something not-existing, and (c) sometimes existing and sometimes not-existing The difference between Jaina "avaktavya" and "probability" lies in the fact that the latter (that 18, the concept of probability) has definite quantitative implications namely, the recognition of numerical frequencies of occurrence of (1) "it 18", or (2) "it is not", and hence in the recognition of relative numerical frequencies of the first two categories (of "it is" and "it is not") in a synthetic form It is the explicit recogition of (and emphasis on) the concept of numerical frequency ratios which distinguishes modern statistical theory from the Jaina theory of a syadvada At the same time it is of interst to note that 1500 or 2500 years ago syadvada seems to have given the logical background of statistical theory in a qualitative form Secondly, I should like to draw attention to the Jaina view that "a real is a particular which possesses a generic attribute" This is very close to the concept of an individual in relation to the population to which it belongs The Jaina view in fact denies the possibility of making any predication about a single and unique individual which would be also true in modern statistical theory

Loading...

Page Navigation
1 ... 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195