Reorientation of Mathematical Analysis

  • Unique Paper ID: 156008
  • Volume: 9
  • Issue: 2
  • PageNo: 558-560
  • 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.

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Copyright © 2025 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{156008,
        author = {I S Patil},
        title = {Reorientation of Mathematical Analysis},
        journal = {International Journal of Innovative Research in Technology},
        year = {},
        volume = {9},
        number = {2},
        pages = {558-560},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=156008},
        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. },
        keywords = {Fluxion, derivative, logic, velocity acceleration.},
        month = {},
        }

Cite This Article

  • ISSN: 2349-6002
  • Volume: 9
  • Issue: 2
  • PageNo: 558-560

Reorientation of Mathematical Analysis

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