- The Indians knew of the Pythagorean triplets. (From Baudhayana Sutras) Such as (3,4,5). But "proof" was not something we sought.
http://twitter.com/ainvvy/status/551590805333237762

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:17 - We sought computational techniques than model/proofs. To this extent we were a "algorithmic" civilization. The greeks loved proofs. Not us.
http://twitter.com/ainvvy/status/551591232921563136

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:17 - More impressive is that the Bau. Sutra provides an approximation to sqrt(2). Much better than what simple continued fractions provide.
http://twitter.com/ainvvy/status/551591807058837504

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:18 - Did we prove sqrt2) is irrational? I don't think so. But did we "know" … I suppose so. The story of pi is similar.i
http://twitter.com/ainvvy/status/551592328972877824

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:18 - The first "good" approximation to pi is due to Aryabhata. He knew it was an approximation But proof? It had to wait until 1761.
http://twitter.com/ainvvy/status/551593172078325760

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:18 - That the sun was at the centre and not earth? Aryabhatta knew. So did the greeks. Christianity masked it and so Copernicus gets credit.
http://twitter.com/ainvvy/status/551593806403870720

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:18 - In fact the greeks knew how far the sun is (approximately of course) but still what an audicious thought!
http://twitter.com/ainvvy/status/551594143701409793

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:18 - Negative numbers were ours. And so was algebra. Nobody disputes that. Somehow we never took to geometry. But still we had Brahmagupta.
http://twitter.com/ainvvy/status/551595063176736768

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:18 - And we knew the beginnings of calculus by Madhava of the Kerala school. At least several hundred years before Newton.
http://twitter.com/ainvvy/status/551595784253095936

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:18 - But we had no influence on the development of calculus as we know. We went nowhere with it.
http://twitter.com/ainvvy/status/551596067867746304

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:19 - And we knew where the planets were much better than anyone else. Even a 100 years after Newton.
http://twitter.com/ainvvy/status/551597298472341504

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:19 - Not to forget sin(angle). Ptolemy and the greeks measured chord lengths. The indians measured half chord length (sine).
http://twitter.com/ainvvy/status/551598435069992961

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:19 - So we have many things to be justifiably proud off. But we mostly didn't do proofs. We didn't care. As it had no "prayogana."
http://twitter.com/ainvvy/status/551599608720158720

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:19 - Couple of more things: Binary numbers, fast exponentiation, fibonacci series, binomial coefficients were also known as well.
http://twitter.com/ainvvy/status/551600051282128898

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:19 - In case you don't know, the Greeks were forgotten in Europe in the middle ages. Euclid was retranslated from Arabic to european languages.
http://twitter.com/ainvvy/status/551600560344793088

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:20 - The greeks were mostly about model/proofs. And indians mostly formula and computation. They had to meet.
http://twitter.com/ainvvy/status/551601340917362688

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:20 - That meeting had to wait for Galileo and Newton. Modern Science is about models, proofs, and computation.
http://twitter.com/ainvvy/status/551601843193671681

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:20 - Where do problems arise? When we say NASA uses sanskrit. Or Ganesha is part of genetics. Or that we knew of the atom.
http://twitter.com/ainvvy/status/551602239161131008

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:20 - This retrofitting is the problem. We don't need to. We have done enough in the past. What can we do for the present and the future?
http://twitter.com/ainvvy/status/551602752980148224

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:20 - This is the question we need to ask. We have been poor at physics and at engineering. How do we get around these? This is our challenge.
http://twitter.com/ainvvy/status/551603149387993088

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:20 http://twitter.com/ainvvy/status/551603472718495744

— V Vinay (@ainvvy)Sun, Jan 04 2015 05:01:20- Different civilisations evolved differently towards knowledge and India was no different.
http://twitter.com/ainvvy/status/551942475615457280

— V Vinay (@ainvvy)Mon, Jan 05 2015 03:25:15 - It would be unfair to hold them to modern definitions of proofs and refutations. In fact, we cannot even hold Newton to them.
http://twitter.com/ainvvy/status/551942625582796801

— V Vinay (@ainvvy)Mon, Jan 05 2015 03:25:51

# Conversation with @ainvvy

byNikhil Jois 1,963 Views