CONCEPT OF S´U¯NYA IN INDIAN ANTIQUITY Dr. Parthassarathi Mukhopadhyay Reader, Department of Mathematics Ramakrishna Mission Residential College Narendrapur, Kolkata, West Bengal, India e-mail:
[email protected] Abstract The genesis of “zero” as a number, that even a child so casually uses today, is a long and involved one. A substantial number of persons concerned with the history of its evolution, today accept that the number “zero”, in its true potential, as we use it in our present day mathematics has its root, conceptually as well as etymologically, in the word “S´u¯nya” of Indian antiquity, and it was introduced in India by the Hindu mathematicians. This eventually became a numeral for mathematical expression for “nothing”, and via the Arabs, went to Europe. The time frame of its origin in Indian Antiquity is still hotly debated. One recent suggestion, from some astronomical calcu- lations is that, it probably appeared in 458 CE as found in the Jaina cosmological text Lokavibha¯ga(meaning, The Parts of the Universe). Furthermore, some recent works even try to suggest that a trace of the concept, if not in total operational perspective, might have a Greek origin that traveled to India during the Greek invasion of the northern part of the country in the pre-Mauryan period. In this article we would like to discuss the available references to the concept of “S´u¯nya” or its numerous synonyms in its broader social and philosophical contexts as was used in Indian antiquity, which eventually paved the path for the evolution of the corresponding mathematical concept.