Wednesday, July 17, 2019

John Venn (1834 â€1923) Essay

put-on Venn was born in 1834, to a exceedingly religious Christian family at Hull, England. His come died when he was very young and grow was engaged with rendering his services to the church. He graduated from the Cambridge University and in 1857 was elected as a fellow of the college. He remained a fellow for the rest of his life. From 1858 he lived at different locations and fin every last(predicate)y returned to Cambridge in 1862. For the following thirty years, Venn dedicated himself to Logic.He wrote triple books on this subject. The first sensation was the system of logic of chance in 1866, the second, symbolic logic in 1881, and the third, The principles of Empirical logic, in 1889. ( Brinley Lisa ) whoremonger Venn is famous for his macrocosm of Venn diagrams, a visual facsimile of mathematical logic. He introduced the concept for the first cadence in 1880, in a authorship titled, On the diagrammatic and mechanical representation of propositions and reasoni ngs, which appeared in the philosophical magazine and the daybook of Science, July 1980. ( Brinley Lisa ).Venn draws If three discs R, S ,T are subsets of U , then the intersections of these discs and their complements divide U into 8 regions, which do not overlap. The unions give 256 combinations of the three disks R, S , T. Proper working of Venn diagrams withdraw an order of precedence and operators to follow. This order is, AND, NOT, OR, XOR ( Or and XOR equal ).This implies that if both the operations AND and OR are included in a query, AND operation will be taken up first. This does not happen lone(prenominal) IF parenthesis are used, as Expressions in parenthesis are processed first. Venn Diagram ( Brinley Lisa ) Venn continuously kept on improve his theory of visual representation done his diagrams. He never interpreted them as an attempt to clarify, what he thought were the inconsistencies and ambiguities of Booles logic. Venn realized that his diagrams were not suff iciently general.So he proposed a method by which a series of circles divide a plane into many compartments so that each(prenominal) successive circle would intersect all the compartments. This idea was to afterward develop as a concept of a ecumenic set . At a later stage of his life, Venn became more interested in history and made some most-valuable plowshare by documenting the history of Cambridge. behind Venn will always be remembered for his contribution to extension of Booles logic, in a visual, diagrammatic way.Venn digrams are very reclaimable in variety of applications including set theory, probability, logic, statistics and reckoner science. In a recent BBC poll, John Venn emerged as the third most greatest mathematician of recent times, next only to nitrogen and Euler. ( John Venn )Works cited page 1. Brinley Lisa, Gregory Emy, annals of John Venn 1998, Retrieved on 22 border district 07 from http//www. andrews. edu/ calkins/math/biograph/biovenn. htm 1. Joh n Venn, wikipedia the free encyclopedia, 25 February 2007, Retrieved on 22 March 2007 from http//en. wikipedia. org/wiki/John_Venn.

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