Book Title: Scientific Secrets of Jainism
Author(s): Nandighoshvijay
Publisher: Research Institute of Scientific Secrets from Indian Oriental Scriptures Ahmedabad
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Limitations Of Mathematics In Jain Philosophy And....
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between them would be infinity. But in practical experience, even if the distance between two objects is reduced to zero, the gravitational force between them does not rises to infinity.
Thus every mathematical equation in physics can give satisfactory solution only to a certain limit. Thereafter, equations cannot be used.
What was called field arithmetic in ancient times, is now called geometry. Since childhood, we know Euclid's geometry which is known as plane geometry. Still however, its propositions do not accord with our perceptions of touch or sight. The parallel straight lines of Euclid's geometry, never meet. Their existence can be proved by prolonging them on both sides as far as possible. They do not accord with what we see with our eyes. We can never see such parallel straight lines. Though rails of a railway are parallel, they seem to meet after a very long distance in both directions. Similarly, parallel straight lines seem to meet at the point of intersection of the lines of our eye-sight. Euclid's straight lines simultaneously meet at only one point but not at more than one point. Euclid's definitions and meanings of straight lines and parallel lines cannot be applied to visual geometry. All these difficulties were remedied by initiation of a new geometry, the projective geometry through new mathematical concepts.
It was finally established after the publication of Einstein's General Theory of Relativity (1915) that many results of Euclidean geometry considered by past generations as eternal truths, were not fully correct. These could be at best described as approximately correct.
Curved space on all sides of celestial bodies which have a strong gravitational force according to Einstein's General Theory of Relatively, initiated quite a new kind of geometry, Riemannian geometry which was quite different from Euclidean geometry.”
Thus the rules of arithmetic, algebra, geometry and mathematics are not only imaginative or symbolic but also they are very useful in day-today life. Still however, they have not been able to explain the true reality of the universe. That is why Einstein, the talented physicist said, “As far as the laws of mathematics refer to reality, they are not certain and as far as they are certain, they do not refer to reality." It means that if we think of mathematical laws in the context of reality, the rules are not definite
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