Tuesday, July 23, 2019
Pascal and the Probability Theory Research Paper
Pascal and the Probability Theory - Research Paper Example His father introduced him to Mathematics when he was 15 years old. Despite this fact, he had started making discoveries in geometry as early as 12 years. Come 1939, his family moved to Rouen after his father was appointed a tax collector. His creativity was exhibited at this point, whereby; he was able to invent a calculator so as to make his fatherââ¬â¢s work easier during his day to day endeavors. Later in 1647, Pascal conducted and wrote about experiments concerning vacuums, but many scientists disregarded the existence of vacuums. For instance, the great French philosopher Rene Descartes visited Pascal for 2 days and disagreed with him concerning the vacuum. In a letter Descartes wrote to Huygens after this encounter, he asserts that ââ¬Å"Pascal had too much vacuum in his headâ⬠1. This did not deter him from pursuing mathematics and science; in 1653, he published a treatise on the equilibrium of Liquids. Pascal later invented ââ¬Å"Pascalââ¬â¢s Triangleâ⬠, a tr iangular array of numbers which solves mathematical problems. He would later become interested in probability after a gambling question was projected to him. In correspondence with another great scientist Fermat, they were able to solve the problem of points; how to divide stakes in a game of dice if the game is incomplete. Pascal almost lost his life in 1654, and this affected him psychologically to the point of being a staunch Christian. Even after setting the ground for the theory of probability, Pascal quit Mathematics to pursue a quieter Christain life in a monastery in Paris. He never married. He succumbed in 1662 to malignant stomach ulcers. Introduction Even from an early age, Pascal was curious about natural occurrences, and he formulated experiments to study these occurrences. Pascal studied fluids, pure and applied sciences, pressure and machines, among other scientific principles. While still a teenager in 1642, Pascal had begun ground-breaking work on calculating machin es. At first, his attempts failed, but he finally managed to invent the mechanical calculator three years later2. This simply shows that Pascal was able to invent scientific principles from an earlier age. However, one of Pascalââ¬â¢s greatest invention is in the field of Mathematics is the ââ¬Å"Theory of Probabilityâ⬠, a theory that is centered on estimating and calculating the chance of doing something. For example, if 6 men are playing dice, what is the chance that each of them can win the game? And if at all two are eliminated, what is the chance that each of the remaining four will win the game? Probability centers on such occurrences. The theory of probability was advanced so as to prove the fact that chance can be mathematically calculated accurately. Various facets in the modern world apply probability. This is not just in mathematics courses, but it is also applicable in the practical courses like genetics, quantum mechanics, kinetic theory of gases, industrial qu ality control and insurance.This paper dwells on the history of the probability theory, and how Pascal contributed to this theory, and how his findings were shaped by other great scientists who were also researching on the theory. Pascalââ¬â¢s involvement with probability dates back to 1654 when another scientist, Chevalier challenged him to solve a puzzle which at that time was known as ââ¬Å"the problem of pointsâ⬠. This problem had been posed in the late 1400s and no one had managed to solve it for a period of 200 years. The problem was that; how the stakes of a chance game should be divided
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