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On Application of the Law of Combination in Early Jaina Philosophy

By Sajjan Singh Lishk

Vol. XV · No. 2Oct - 1980pp. 71–73English

Summary

This study applies the mathematical law of combination to early Jain philosophy. After explaining the combinatorial formula nCr and factorial notation, the author explores its relevance to the doctrine of Saptabhangi (sevenfold predication). In Jain logic a real possesses three characteristics: being, non‑being and inexpressibility. By applying the law of combinations, the author shows that taking these characteristics one at a time yields three predicates; taking them two at a time yields three more combinations; and taking all three together yields one combination. These seven combinations correspond to the seven ways a proposition can be predicated in Jain philosophy. The article argues that understanding these combinatorial possibilities clarifies how the doctrine of sevenfold predication evolved from simpler three‑fold predication, where only being and non‑being are considered. The author asserts that the gradual evolution of theories should be established through logical application of textual evidence and acknowledges scholars who contributed to the research. Overall, the piece demonstrates how mathematical reasoning can illuminate the development of philosophical doctrines in Jainism.

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Conclusion

By linking combinatorial mathematics with Jain doctrine, the article shows that the categories of sevenfold predication arise logically from combinations of fundamental characteristics. This interdisciplinary approach highlights the methodical reasoning behind early Jain philosophy and suggests that mathematical analysis can aid in understanding how metaphysical theories evolve. The study invites further exploration of mathematical tools to shed light on the structure and development of Jain doctrines.

Key passages

Chosen by AI from the article's text. Each one is checked word for word against the text before it is shown.

  • “Mathematically according to the law of combination, n things taken n r at a time can be arranged in C ways. Symbolically, we can write’”
  • “Such an idga gives a clue to the fact that mathematical formulation is implied in the development of Jaina philosophical concepts.”
  • “It is, in fact, emphasized that mathematical and astronomical approaches should be encouraged in the field of Jaina studies which can lead to the better understanding of Jaina philosophical concepts.”

Works cited in this article

  1. Tatia, Nathmal (1975), Jaina Philosophy. Second chapter in Jainism, edited by Gurbachan Singh Talib, Punjabi University, Patiala.
  2. Malvaniya, Pt. Dalsukh (1966), Agam Yug-ka Jain Darsan (in Hindi), pp. 93-114, Sanmati Gyanpith, Agra.
  3. Lishk, S.S. and Sharma, S.D, (1977), ‘Sources of Jaina Astronomy’, The Jaina Antiquary, Vol, 29, No. 1-2, pp. 19-32.
  4. ‘Mathematical foundations of Karma: Quantum System Theory’, Anusandhan Patrika, Oct.-Dec., 1973, pp. 1-19. (Ladnun).
  5. “Mathematical Foundations of Jaina Karma System’, Bhagwan Mahavir and His Relevance in Modern Times (1976), pp. 132-150 (Bikaner).

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