2018, മേയ് 2

INVENTION OF ZERO






Invention of Zero “Contribution from India”

The Indian system of counting is probably the most successful intellectual innovation ever devised by human beings. It has been universally adopted.The Indian zero symbol found its way to Europe, primarily through Spain,via the channel of Arab culture. The Arabs had close trading links with India which exposed them to the mathematical skills of Indian reckoning. Gradually, they incorporated the Indian zero into the notation of their own sophisticated system of mathematics and philosophy .In AD 773 the Caliph of Baghdad received a copy of a 150-year-old Indian astronomical manual, Brahmasphutasiddhanta (the ‘Improved Astronomical Textbook of Brahma’), which used Indian numerals and place-value notation with a zero.

In AD 628, the Indian astronomer Brahmagupta defined zero in this way and spelled out the algebraic rules for adding, subtracting, multiplying and, most strikingly of all, dividing with it. For example, “When sunya is added to a number or subtracted from a number, the number remains unchanged; and a number multiplied by sunya becomes sunya.” .We have seen that our numerical zero derives originally from the Hindu sunya, meaning void or emptiness, deriving from the Sanskrit name for the mark denoting emptiness, or sunya-bindu, meaning an empty dot. These developed between the sixth and eighth centuries. By the ninth century, the assimilation of Indian mathematics by the Arab world led to the literal translation of sunya into Arabic as assifr, which also means ‘empty’ or the ‘absence of anything’. Remarkably, he also defines infinity as the number that results from dividing any other number by zero and sets up a general system of rules for multiplying and dividing positive and negative quantities.

Bindu is used to describe the most insignificant geometrical object, a single point or a circle shrunk down to its centre where it has no finite extent. Literally, it signifes just a ‘point’, but it symbolises the essence of the Universe before it materialised into the solid world of appearances that we experience. It represents the uncreated Universe from which all things can be created. This creative potential was revealed by means of a simple analogy. For, by its motion, a single dot can generate lines, by whose motion can be generated planes, by whose motion can be generated all of threedimensional space around us. The bindu was the Nothing from which everything could flow.

This conception of generation of something from Nothing led to the use of the bindu in a range of meditational diagrams. In the Tantric tradition the meditator must begin by contemplating the whole of space, before being led, shape by shape, towards a central convergence of lines at a focal point.The inverse meditational route convergence of lines at a focal point.The inverse meditational route can also be followed, beginning with the point and moving outwards to encompass everything, where the intricate geometrical constructions of the Sriyantra are created to focus the eye and the mind upon the convergent and divergent paths that link its central point to the great beyond.

The Indian culture regarded Nothing as a state from which one might have come and to which one might return indeed these transitions might occur many times, without beginning and without end. Where Western religious traditions sought to flee from nothingness.