SN_Rajan wrote:All the scholarly dates for earliest IE in India - the RV, is 1500 BCE to 500 BCE, and it does clearly rule out RV in IVC in the boundary time range. Even if we take further speculative dates for RV even from 2300 BCE for RV/Horse, it does not establish nativity/contemporariness with IVC, as by 2600 BCE itself IVC was in full glory with 5 million people.
If there is any strong evidence for RV on IVC within the 3300 BCE to 2600 BCE, i would be very interested to be educated.
Citing N.S. Rajaram
Elaborate structures like the Great Bath of Mohen-jo-daro, the Lothal harbor or the citadel at Harappa are inconcievable without a detailed knowledge of geometry.
The world had to wait 2000 years more, till the rise of the Roman civilization for sanitation and town planning to reach a comparable level. The question is: where did the Harappans get the necessary mathematical and engineering knowledge? History books tell us that Indians borrowed their geometry from the Greeks. This is absurd. The Harappans must have had the neccessary technical knowledge at least 2,000 years before the Greeks. Without it the civilization would never have seen the light of day. It is as simple as that.
But once we recognise that Harappan archaeology belongs to the closing centuries of the Vedic age, the mystery vanishes.
The late Vedic literature includes mathematical texts known as the Sulba-sutras which contain detailed instruction for the building of sacrificial altars. After a monumental study spanning more than 20 years, the distinguished American mathematician and historian of science, Abraham Seidenberg showed that the Sulba-sutras are the source of both Egyptian and old Babylonian mathematics. The Egyptian texts based on the Sulba-sutras go back to before 2,000 BCE. This provides independent comfirmation that Indian mathematical knowledge existed long before that date, ie, during the height of the Harappan era. For further mathematical evidence and quotations please see: Scientific Verification of Vedic Knowledge.
The sulba-sutras are part of the vedic religious literature known as the Kalpasutras. They were created originally to serve as technical manuals for the design and construction of Vedic altars. As previously noted, Harappan sites contain many such altars, a fact that supplies a link between Vedic literature and Harappan archaeology. It serves also to show that the vedic literature could not have been brought in by any invaders - they were needed for building the altars that are very much part of the Harappan archaeology! The sulba-sutra are the oldest mathematical texts known. A careful comparison of the sulba-sutras with the mathematics of Egypt and old Babylonia led Abraham Seidenberg to conclude:
"... the elements of ancient geometry found in Egypt and old Babylonia stem from a ritual system of the kind found in the Sulba-sutras."
What is interesting is that the origins of ancient mathematics are to be found in religion and ritual. So the great engineering feats of the Harappans can be seen as secular off-shoots of the religious mathemtics found in vedic literature. This can in a way be compared to the history of books and publishing, The first books printed were Bibles, like the Gutenberg bible; but the technique of printing soon transcended its original niche and led to an explosion of knowledge that made possible the European renaissance. Similarly, the 'ritual mathematics' in the Sulba-sutras led eventually to the purely secular achievements of the Harappans like city planning and the design of harbours.
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It would really be helpful to you if you would read this thread first!