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金剛經的數學模型及其解之探討=The Mathematic Approach to Vajra-Praj-naparamita-sutra |
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| Author |
林杜娟 (著)=Lin, Due-jane (au.)
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陳家成 (著)=Chen, Chia-chern (au.)
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| Source |
佛學與科學=Buddhism and Science
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| Volume | v.1 n.1 |
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| Date | 2000.07.15 |
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| Pages | 18 - 25 |
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| Publisher | 圓覺文教基金會 |
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| Publisher Url |
http://www.obf.org.tw
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| Location | 臺北市, 臺灣 [Taipei shih, Taiwan] |
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| Content type | 期刊論文=Journal Article |
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| Language | 中文=Chinese; 英文=English |
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| Keyword | 金剛經; 實相; 禪; 思考; 般若; 解題; 陳家成; 林杜娟; sutra; thing-in-itself; zen, thinking; paradox; problem-solving; Chen, Chia-chern; Lin, Due-jane |
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| Abstract | 金剛經中的主句型可用命題或方程式「A等於非A」來表達. 這個命題或方程式可以名之為「金剛經命題」或「金剛經方程式」. 這樣的方程式在其本身而言是矛盾的，無解的. 但經過詳細的討論，卻可發現事實上「金剛經命題」是有具體非虛無的解存在，但這個解從群論及邏輯上而言，都是超越解本身的解. 金剛經給予的解以文字表達為「是名A」. 綜合了命題部分及解形成了完整的金剛經主句型的敘述「佛說A即是非A是名A」的數學模型「A等於非A的解就是A」.
這種解超越其本身的特性正是金剛經所要表達的內涵. 從討論「金剛經命題」或「金剛經方程式」的解形成的過程，可以幫助我們了解金剛經要表達的真正內涵：「超越」或「從中解脫」的智慧. 這個解是個通解，可以用在任何形式的問題上，幫助我們從一切問題中解脫.
The main style of Vajra-Praj-naparamita-Sutra (金剛般若波羅密經 or 金剛經) can be written as "When A is Given，it is not A at all. It is just A in name."
It's difficult to understand what A-in-itself really is, as well as what it really isn't. Instead of understanding the mysterious nature of this sutra linguistically，we take a mathematic approach to it by means of studying its main style logically. We try to express it as "A equals non-A with its nontrivial solution，A-in-itself." The nontrivial solution does exist and can be deduced successfully. We need not be caught in the dichotomy of A and non-a, nor need we study the Zen Koan "not a, but also not non-A". Nirvana can be achieved by reasonable inference. In general，the equation is true only when A satisfies at least one of the four Conditions of the Truth, namely：(1) It cannot be negated or affirmed; (2) It cannot be conditioned; (3) It cannot be proved within its own framework; and (4) It cannot be deduced from any known system of inference.
The solution is complete. It can be applied to a particular situation as well as a general one. Thus, solving the problems by main style of Vajra-Praj-naparaita-Sutra is possible and operative. By using the mathematic approach, the wisdom of this most important and difficult-to-understand sutra reveals itself. This is the wisdom free from all those which are paradoxical，as well as being a guide to find a reasonable yet practical way to real problem resolution.
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| Table of contents | 一. 金剛經主句型的數學模型的建構
二. 導出金剛經命題的解
1﹒空集合O不是金剛經命題的解
2﹒宇集合U不是金剛經命題的解
3﹒集合G不是金剛經命題的解
4﹒群不是金剛經命題的解
5﹒正反合定律 (矛盾統一) 不是金剛經命題的解
6﹒金剛經命題的非虛無解
(1)不能被否定的事物
(2)沒限制或界線的事物及程序
三. 討論
(一) 修行上的證悟
(二) 解決難題
四. 結論 |
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| ISSN | 16072952 (P) |
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| Hits | 1527 |
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| Created date | 2001.08.08 |
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| Modified date | 2017.07.14 |
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