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C. K. Raju Quotes

born 1954 India

C. K.

India
Educators
Mathematicians
Physicists
Scientists

Random C. K. Raju quote

27 quotes

The mathematical theory of probability begins with the theory of permutations and combinations, needed to calculate probabilities in games of chance, such as dice or cards. The earliest account of this theory is found in India. This theory is tied to the theory of the Vedic metre (and the theory of Indian music, in general).

Let us understand one easy implication of this. The claim that the “Greek” proof of the “Pythagorean theorem” in the “Euclid” book is “superior” to its Indian proof is complete balderdash, though lots of “reliable sources” have asserted it. The actual “Euclid” book uses the same principles of proof as the Indian notion of proof, but is only a lot more prolix.

But, the original Indian understanding of calculus as a method of numerically solving differential equations,22 together with non-Archimedean arithmetic and the philosophy of zeroism makes calculus easy enough to teach in five days.24 This ease enables students to solve harder problems such as elliptic integrals required for the first science experiment with the simple pendulum.

Of course, formal Western mathematics (and indeed much of Western philosophy) is likely to be a long-term casualty of any departure from 2-valued logic. In fact, the very idea that logic (or the basis of probability) is not culturally universal, and may not be empirically certain, unsettles a large segment of Western thought, and its traditional beliefs about induction and deduction.

There is not the slightest doubt that every piece of empirical evidence can be explained away by one who wants to hang on to the myth of Euclid, just as every piece of evidence against astrology can be explained away by those who make a living from it.

Could the similarity between the Indian and the “Aristotelian” syllogism be due to transmission? Certainly, there were regular contacts between India and Greece from before the time of Aristotle, as recounted by Herodotus or as evidenced by Alexander’s attempt to find the sea route to India after his army mutinied at the frontiers of India.

No Western historian, to my knowledge, has commented on the curious fact that the theory of planetary motion in the West developed without the availability of appropriate planetary data. To begin with, every purported observation in “Ptolemy’s” Almagest is fabricated, and obtained by back-calculation. There is not a single known exception to this.

Attribution

Quotes and notes from Wikiquote: C. K. Raju (page history), available under CC BY-SA 4.0.