The Calculus Controversy or lack thereof
Throughout the seventeenth century and into the eighteenth century, there was a widely publicized controversy involving two great mathematicians; the German, Gottfried Wilhelm von Leibniz, and Englishmen, Sir Issac Newton. For over a century England and Germany argued over which homesung hero had indeed discovered calculus. What both nations refused to admit, however, was that niether of the two thinkers truly invented calculus. For the act of discovering or inventing anything is a pain-staking process that an indivdiual 'inventor' does not complete on his own. Both men simply made advancements in the field of Mathematics that would not have been found without the intial findings of the egyptians, Archimdees, and Euclid among others. Ultimately, there is no use pondering the question of whom discovered caluclus, for that has no clear answer. Rather, it is more significant to look at the pathetic decline in English Mathematics, as a result of an entire stubborn generation of Mathematicians attempting to prove Newtons legacy. In order to get the full impact of the ridiclousness of the controversy, one must take a indepth look at the scenerio surrounding it. Unaware that Newton was reported to have discovered similar methods, L
Besides the confusing complex story behind the squabble, the notion of discovery being an evolving process also proves the complete lack of justification for the controversy. The subject of mathematics like any other progresses and formulates over years of accomplishments and breakthroughs. There is never one sole person to thank, but rather a combined effort in which society should undoubtedly appreciate. The first advancement in mathematicians and calculus can be credited to the Egyptians, in that they discovered the rule for the volume of a pyramid and approximation of the area of a circle. Later, Greeks made tremendous discoveries. Archimedes extended the method of inscribed and circumscribed figures by means of heuristic, which are rules that are specific to a given problem and can therefore help guide the search. These arguments involved parallel slices of figures and the laws of the lever, the idea of a surface as made up of lines. Finding areas and volumes of figures by using conic section (a circle, point, hyperbola, etc.) and weighing infinitely thin slices of figures, an idea used in integral calculus today was also a discovery of Archimedes. One of Archimedes's major crucial discoveries for integral calculus was a limit that allows the slices of a figure to be infinitely thin.(Mathematicians) Another Greek, Euclid, developed ideas supporting the theory of calculus, but the logic basis was not sustained since infinity and continuity weren't established yet (Boyer 47). His one mistake in finding a definite integral was that it is not found by the sums of an infinite number of points, lines, or surfaces but by the limit of an infinite sequence (Boyer 47). All of these contributions were vital, in that it set up a steady base of mathematical concepts, from which Newton and Leibniz were able to expand. Newton and Leibniz tapped into the unlimited potential that is mathematics. Although a pathetic controversy threatened the general impa
Some common words found in the essay are:
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Approximate Word count = 1321
Approximate Pages = 5 (250 words per page double spaced)
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