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Calculus priority dispute between Newton and Leibniz

Essay Instructions:

Write on one of the topics below. Write 2000 words (+/- 10%), including any footnotes but not including references.



Write in a clear, direct style. Give as much introduction as you think is needed (perhaps not much) and then get straight down to answering the question. Avoid discursive footnotes. If you want to read more, contact your tutor for suggestions.



3. This third option is more of a research project. Priority disputes are common in science. Robert Merton saw them as an illustration of the great importance of credit as a form of scientific reward. Choose a priority dispute and work through it. How did it arise? How was it resolved, if it was resolved? What were its consequences for the field? Was it harmful? Beneficial? Did it impede investigation or have other notable effects?



don't use the case of Rosalind Franklin; that was not a priority dispute in Merton's sense.

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Calculus priority dispute between Newton and Leibniz
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Calculus priority dispute between Newton and Leibniz
Priority disputes between mathematicians have been there since the early days. But the calculus priority dispute between Newton and Leibniz has been extreme. The dispute has created interest among many historians and writers to write about it. During this dispute, the royal society decided to look for a commission to investigate the matter (Sastr). The results were that Newton was the first founder of calculus. As a result of the findings, a dispute arose as the Leibniz group believed that the judgment was bias. At that time, Newton was the chief commander of the royal society. Leibniz was from Hanover, and most of his supporters were from his country while Newton was from British and Britons were his core supporters (Starbird, 2016). During those days, mathematics, alchemy, chemistry, theology, and history were among the jobs that were held by prominent scientists. Newton specialized with money politics, history, and theology while Leibniz was a great lawyer.
Through Newton's inspiration by physics, he developed fluxion, which is the rapid change in a fluent. However, fluxion faced a great challenge because it was still unknown. As a result, fluxion gave rise to computation difficulties for Newton peers. Fluxion was directly related to quadrature, which is now known as integral (Starbird, 2016). All these great insights happened during the time of the great plague from 1665 to 1667. Also, during this time, Newton developed the theory of gravitation while he had gone back to his village to live with his mother. The argument laid his foundation on classical mechanics giving him a chance to explain the planetary motion. In 1687 his mechanics were published in the book of Philosophiae Naturalis Principia Mathematics.
On the other hand, Leibniz was a lawyer by profession, but he started to develop interests in mathematics in 1672 when he visited Paris and met a friend known as Huygens. Leibniz developed significant improvements with quadrature, which involved the approximate length of curve called ds, which was also measured as the hypotenuse of a triangle with sides dy and dx. In 1674, he made efforts on using geometrical arguments and similarities of triangles, and he came up with the method of calculating the quadrature of a curve (Kandaswamy). His dy/dx method of computation was more comfortable to use as compared to the Newton fluxion. Moreover, Leibniz developed an integral sign, ∫ which was a symbol for sum. The sign is still used up to date. Thus, it is clear that Newton and Leibniz developed their theories individually using, unlike methods. However, some claims were developed attacking Leibniz of plagiarism. These fights never came up from the two scientists, but their friends, believers, and followers came up with the arguments.
The two scientists had their defenders; for example, Leibniz was defended by john Bernoulli and Jacob. On the other hand, Newton was supported by john Wallis, john Collins, Fatio de Duillier, and Nicholas. Fatio de Duillier is popularly known as Newton's monkey by sonar, and he was at the front-line accusing Leibniz of plagiarism. A few years later, John Keill was elected as the chief commander of the group that was defending Newton's theories (Kandaswamy). The change created new problems since the new commander was able to realize the person who was catalyzing the fight between Newton and Leibniz. Henry Oldenburg was the general secretary of the royal society, and he was not a mathematician, so most of his decisions were influenced by John Collins, who liked opposing everything. The leadership of john keill led to fights as numerous misunderstanding emerged; hesitation and half-spoken truths were revealed. Fortunately, Leibniz's new calculus applications were found to be easier as compared to those of Newton. Thus, Leibniz calculus was declared to be the winner, which led to the decline of the English mathematical scenery.
However, despite the Leibniz calculus method of computation being easier, it is believed that Newton was the first person to arrive at calculus. Newton's first theory was developed between 1665 to1667, and it was known as fluxions or fluent. In mid-1665, newton was able to establish differential algorithms which were later expounded by Leibniz (Sonar, 2018). While newton was developing calculus, Leibniz was at the age of twenty, and by that time, he was not familiar with mathematics (Shapin, 1981). This claim made the newton and his group to accuse him of plagiarizing their work. Newton supporters such as Arthur Hathaway accused Leibniz as a German propagandist full of political deceit. On the other hand, Leibniz supporters argued that even if Leibniz did not reach calculus as the first person, he worked for the theory independently; thus, his work was free of plagiarism. Some historians and authors have referred Leibniz as the second inventor of calculus (Shapin, 1981). Still, his supporters say that this does not deny him the chance of being the inventor of calculus and differential algorithm procedures. Thus, the two scientists must be considered as the co-inventors of calculus.
In 1684, after Leibniz's visit to London, he decided to publish his differential calculus. His calculus contained both fluxional and differential calculus, and this formed the basis of newton's accusation of plagiarism. In 1712 newton had gathered enough evidence to show that Leibniz's work was not independent but an imitation of his work. Newton's arguments were as follows; Leibniz had visited London in 1674 and went to Paris, where he met with Oldenburg and Collins, who taught him British mathematics (Sonar, 2018). Therefore, through their correspondence, he was able to grasp the newton theory. Secondly, during Leibniz's visit to London, he collected a lot of published data that he used in his work, and this was evident enough to show that he was used ...
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