Jain scholars were pioneers in mathematics, introducing foundational concepts that influence our understanding of the subject today. Among their most revolutionary contributions was the concept of zero (shunya) and its place value in the decimal system. Bhadrabahu, a Jain mathematician from the 4th century BCE, is often credited with these groundbreaking innovations, which were later expanded upon by other great Indian scholars such as Brahmagupta and Aryabhata.
In addition to these achievements, Jain scholars also explored the concepts of infinity and irrational numbers-ideas that would later serve as the foundation for advanced mathematical theories. These early insights into mathematics were not isolated; they were part of a broader tradition of intellectual inquiry that significantly contributed to shaping the course of modern science.
Jain cosmology presents a sophisticated model of the universe, featuring a complex structure of multiple realms. Ancient Jain texts offer surprisingly accurate descriptions of the movements of stars, planets, and celestial bodies. Arya-sura, a notable Jain scholar, observed the motion of planets and the positioning of stars in relation to Earth, laying the groundwork for early astronomical science. Texts such as the Suri-sarvasva provide detailed accounts of astronomical phenomena, including lunar and solar eclipses, showcasing the Jain approach to empirical observation and the study of the natural world.
Equally remarkable is Jainism's view of the universe as infinite in time and space-the idea that resonates with modern theories in physics about the boundlessness of the cosmos. The Jain ethical principle of ahimsa (non-violence) further reflects a deep respect for nature and all living beings. This ethical framework encouraged Jain scholars to explore the interrelationship between life and the environment, promoting ideas of sustainability and harmony with nature long before environmental sciences emerged as a formal field of study.
The contributions of Jain thinkers extend beyond the natural sciences into the realm of logic. Prominent Jain philosophers developed rigorous systems of logical reasoning that are comparable to modern formal logic. Jain methods such as syadvada (probabilistic logic) and ekantavada (viewpoint pluralism) laid the groundwork for future advancements in logical reasoning and scientific inquiry. These methods emphasize the importance of considering multiple perspectives to fully understand complex phenomena.
These achievements, deeply rooted in the Jain philosophical tradition, reflect a commitment to rational inquiry, the pursuit of truth, and a profound respect for the natural world. Through their work in mathematics, astronomy, cosmology, and logie, Jain scholars made significant contributions to the scientific revolution that would unfold centuries later. Despite these remarkable contributions, much of this knowledge has remained confined within Jain communities and has yet to gain widespread recognition, particularly in fields like mathematics. Acknowledging this knowledge gap, Pankaj K. Shah of Boston, along with Dr. Anupam Jain, took on the challenge of bringing this wealth of ancient wisdom to the forefront. They organized several conferences in Indore, India, and an international symposium, initially planned to be held at MIT but adapted to a virtual format due to the COVID-19 pandemic. These initiatives culminated in the publication of Mathematics in Ancient Jaina Literature in 2023, a landmark achievement in highlighting Jain contributions to the field of mathematics.
During their efforts, Pankaj and Anupam uncovered a treasure trove of both published and unpublished articles by Ratanakumar S. Shah of Pune, India. These essays, spanning the period between 500 BCE and 1000 CE., explore the mathematical concepts embedded in ancient Jain scriptures. In this book, Shri Ratanakumar Shah presents a carefully curated collection of essays that illuminate key mathematical ideas found in the major Jain texts of the period.
Recently, Ratanakumar completed the editing and translation of two significant Agamic works-Anuyogadvārasūtra and Jambuddivapannattisutta which contain highly advanced mathematical content for their time. These translations carried out on behalf of Jain Viśva Bhāratī in Ladnun, Rajasthan, are soon to be published. In addition, Ratanakumar is in the final stages of editing and translating Sura/Candapamatti, an advanced work on mathematics and astronomy, which is nearing completion.
This book is a tribute to the extraordinary contributions of Ratanakumar Shah, whose work has illuminated the rich mathematical heritage of Jainism. We are deeply grateful to Pankaj K. Shah and his team for their dedication to this important project, which has successfully brought these remarkable insights into the public eye.
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