It is interesting to note that the ongoing controversy concerning the so-called conflict between Wilhelm Gottfried Leibniz and Isaac Newton is one that does not bare much merit. Whether one came up with the concepts of calculus are insignificant since the outcome was that future generations benefited. However, the logic of their clash does bear merit.
In proposing that he was the first inventor, Leibniz states that "it is most useful that the true origins of memorable inventions be known, especially of those that were conceive not by accident but by an effort of meditation. The use of this is not merely that history may give everyone his due and others be spurred by the expectation of similar praise, but also that the art of discovery may be promoted and its method become known through brilliant examples.”
Newton on the other had would not allow himself to be usurped by stating that “second inventors have no right. Whether Mr Leibniz found the Method by himself or not is not the Question… We take the proper question to be,… who was the first inventor of the method." In addition, he continued on by stating that "to take away the Right of the first inventor, and divide it between him and that other, would be an Act of Injustice."
The argument in this paper that even though the onus of the discovery of calculus lies with Isaac Newton, the credit goes to Leibniz for the simple fact that he was the one who published his works first. Appending to this is the fact that the calculus wars that ensue was merely and egotistic battle between humans succumbing to their bare primal instincts. To commence, a brief historical explanation must be given about both individuals prior to stating their cases.
On January 4, 1643, Isaac New...
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...tics is a sufficient condition for its antecedent. Furthermore, both forms of mathematics do have a non-symmetrical relationship. Simply put, a concept derived from abstract mathematical methods can bear this same concept to a practical application; the reverse may or may not be possible. The reason being is that in abstraction, there is unlimited possibility and some methods have no particular end.
Works Cited
Bardi, Jason Socrates. The Calculus Wars: Newton, Leibniz, and the Greatest Mathematical Clash of All Time. New York: Thunder's Mouth Press, 2006.
Leibniz, Gottfried Wilhelm., and J. M. Child. The Early Mathematical Manuscripts of Leibniz. Mineola, NY: Dover Publ., 2005.
Newton, Isaac. The Correspondence of Isaac Newton. Vol. 7, 1718-1727. Edited by A. Rupert Hall and Laura Tilling. Cambridge: Cambridge University Press for the Royal Society, 1977.
ABSTRACT: It is well known that a central issue in the famous debate between Gottfried Wilhelm Leibniz and Samuel Clarke is the nature of space. They disagreed on the ontological status of space rather than on its geometrical or physical structure. Closely related is the disagreement on the existence of vacuums in nature: while Leibniz denies it, Clarke asserts it. In this paper, I shall focus on Leibniz's position in this debate. In part one, I shall reconstruct the theory of physical space which Leibniz presents in his letters to Clarke. This theory differs from Leibniz's ultimate metaphysics of space, but it is particularly interesting for systematic reasons, and it also gave rise to a lively discussion in modern philosophy of science. In part two, I shall examine whether the existence of vacuums is ruled out by that theory of space, as Leibniz seems to imply in one of his letters. I shall confirm the result of E. J. Khamara ("Leibniz's Theory of Space: A Reconstruction," Philosophical Quarterly 43 [1993]: 472-88) that Leibniz's theory of space rules out the existence of a certain kind of vacuum, namely extramundane vacuums, although it does not rule out vacuums within the world.
No. 1375: Newton Vs. Leibniz. (n.d). No. 1375: Newton Vs. Leibniz. Retrieved May 2, 2014, from http://www.uh.edu/engines/epi1375.htm
mathematical formula can prove”. Leibniz ignored the problems and flaws in society that were so clearly in front of him because his logic rendered them impossible. This is where the conflict first began to arise between Leibniz and Voltaire. Voltai...
John Cottingham, ed. The Cambridge Companion to Descartes. Cambridge, New York: Cambridge University Press, 1992.
Ball, Rouse. “Sir Isaac Newton.” A Short Account of the History of Mathematics. 4th ed. Print.
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Differential calculus is a subfield of Calculus that focuses on derivates, which are used to describe rates of change that are not constants. The term ‘differential’ comes from the process known as differentiation, which is the process of finding the derivative of a curve. Differential calculus is a major topic covered in calculus. According to Interactive Mathematics, “We use the derivative to determine the maximum and minimum values of particular functions (e.g. cost, strength, amount of material used in a building, profit, loss, etc.).” Not only are derivatives used to determine how to maximize or minimize functions, but they are also used in determining how two related variables are changing over time in relation to each other. Eight different differential rules were established in order to assist with finding the derivative of a function. Those rules include chain rule, the differentiation of the sum and difference of equations, the constant rule, the product rule, the quotient rule, and more. In addition to these differential rules, optimization is an application of differential calculus used today to effectively help with efficiency. Also, partial differentiation and implicit differentiation are subgroups of differential calculus that allow derivatives to be taken to more challenging and difficult formulas. The mean value theorem is applied in differential calculus. This rule basically states that there is at least one tangent line that produces the same slope as the slope made by the endpoints found on a closed interval. Differential calculus began to develop due to Sir Isaac Newton’s biggest problem: navigation at sea. Shipwrecks were frequent all due to the captain being unaware of how the Earth, planets, and stars mov...
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Sir Isaac Newton Jan 4 1643 - March 31 1727 On Christmas day by the georgian calender in the manor house of Woolsthorpe, England, Issaac Newton was born prematurely. His father had died 3 months before. Newton had a difficult childhood. His mother, Hannah Ayscough Newton remarried when he was just three, and he was sent to live with his grandparents. After his stepfather’s death, the second father who died, when Isaac was 11, Newtons mother brought him back home to Woolsthorpe in Lincolnshire where he was educated at Kings School, Grantham. Newton came from a family of farmers and he was expected to continue the farming tradition , well that’s what his mother thought anyway, until an uncle recognized how smart he was. Newton's mother removed him from grammar school in Grantham where he had shown little promise in academics. Newtons report cards describe him as 'idle' and 'inattentive'. So his uncle decided that he should be prepared for the university, and he entered his uncle's old College, Trinity College, Cambridge, in June 1661. Newton had to earn his keep waiting on wealthy students because he was poor. Newton's aim at Cambridge was a law degree. At Cambridge, Isaac Barrow who held the Lucasian chair of Mathematics took Isaac under his wing and encouraged him. Newton got his undergraduate degree without accomplishing much and would have gone on to get his masters but the Great Plague broke out in London and the students were sent home. This was a truely productive time for Newton.
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