Mathematics And Mathematics: Fermat's Contribution To Mathematics

Mathematics And Mathematics: Fermat's Contribution To Mathematics

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Fermat’s Last Theorem--which states that an + bn = cn is untrue for any circumstance in which a, b, c are not three positive integers and n is an integer greater than two—has long resided with the collection of other seemingly impossible proofs. Such a characterization seems distant and ill-informed, seeing as today’s smartphones and gadgets have far surpassed the computing capabilities of even the most powerful computers some decades ago. This renaissance of technology has not, however, eased this process by any means. By remembering the concept of infinite numbers, it quickly becomes apparent that even if a computer tests the first ten million numbers, there would still be an infinite number of numbers left untested, ultimately resulting in the futility of this attempt. The only way to solve this mathematic impossibility, therefore, would be to create a mathematic proof by applying the work of previous mathematicians and scholars.
A mathematic proof, as defined by Michael Hutchings of University of California-Berkley, is simply “an argument which convinces other people that something is true [through mathematical reasoning]” (Hutchings 1). This definition, however, severely simplifies the steps that much be taken in order to move a…show more content… While the proposition would be much easier to argue, being that Wiles has made himself very famous in certain academic circles—likely the reason we are even reading about his achievements in the first place—the truth is that in the larger, much broader picture, Wiles’s achievements are not achievements at all. In assessing academic merit, three core criterion need to be examined: academic and pragmatic influence on students and real-life scenarios and cost-benefit