Rise & Decline Of Greek Mathematics

The origins of Greek maths is shrouded in mystery because no true manuscripts of Greek works before the 5th century BCE endure or find been found by scholars . except , the copies that do exist provide a consistent (if not totally reliable ) account of the mathematics that was developed by them oddly during the period before the publication of Euclid s Elements (Wilson , 1958 . One of the most scarce methods of the mathematics that has been make popular by the Greeks is the use of deductive reasoning , which was most likely developed by them as no prior evidence of these methods exists in historical records . The victimization of the purely logical and deductive proof has largely been impute to the work of the Greek mathematicians Upon this basis , several further discoveries were made in the different branches of mathematics - geometry , arithmetic , and even uranology (Wilson , 1958 Maor , 1994 . The development of these deductive methods in Greek society have been attributed to more than bingle factor ranging from the philosophical preoccupations of Greek scholars to the uncovering of incommensurability . With these reasons as impetus for further development , Greek mathematics strove until the destruction of the Roman EmpireThe first known Greek mathematician is one Thales of Miletus who is considered by many to have been Pythagoras s teacher . His contributions to mathematics and science came in the form practical hypotheses - such as the purported omen of the solar eclipse on May 25 , 585 BCE (Posy , 1992 . However , his student Pythagoras contributed famously to mathematics . One of the reasons for the rise of his (Pythagoras item mathematics was also to be found in the practicableness of it as it was predominantly concerned with natural be . The Pythagoreans believed that numbers were the dominant factors of the public , and that in fact they ruled the universe (1992 .

Therefore , they worked mainly with numbers that were likely to show up in the world - such numbers that were whole or integral , or that could be demoed as sums differences , or ratios of both (or more ) natural numbers . They were also trusty for much of the development of number theory , as well up as ideas about geometry and proportion (Posy , 1992 . The practicability or benefit of the mathematics as well as the fact that the numerical instruments were identifiable with the real world contributed to the rise of the Pythagorean broaden of Greek mathematicsThe fact that numbers used by the Greeks at the time of Pythagoras were those expressible as ratios of two integers meant that the idea of commensurability was at first upheld by the Pythagoreans . However certain truths about geometry revealed a fundamental problem with the belief in commensurability . When such problems arose that seek the length of the hypotenuse of a right triangle whose other two sides each measure (for example ) one (1 ) unit in length , it became clear to the Pythagoreans that rational numbers were inadequate to express such quantities . The idea of incommensurability was born , and with it came a whole new...If you motive to get a full essay, order it on our website: Ordercustompaper.com

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