Reorientation of Mathematical Analysis

Reorientation of Mathematical Analysis
Author(s):
I S Patil
Keywords:
Fluxion, derivative, logic, velocity acceleration.
Abstract
George Berkely (1685-1753) critically analysed the method of fluxions of Sir Isaac Newton(1642-1727),and Calculus differentialis of G W Leibnitz(1646-1716) questioned the validity of principles and found some improper reasonings in both.As a result he arrived at the conclusion that both methods are logically defective, and therefore the result derived from those methods cannot be valid or accurate. As for as the procedure of differential calculus is concerned, Berkely's views deserve merit and I subscribe to them, but his treatment of The Greatest Master of Mathematical and Philosophical knowledge, The Genius, Sir Isaac Newton and his ‘method of fluxions’, however, seems to be based on gross misunderstanding and Misinterpretation of facts. There is a serious misrepresentation of facts of Newton's Method. Berkely and all scientists, philosophers, logicians and mathematicians failed to observe the clear objectivity of Newton's method. Due to this un understandability, the problem of rigorous foundation remained to be solved.
Article Details
Unique Paper ID: 156008 Publication Volume & Issue: Volume 9, Issue 2 Page(s): 558 - 560
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