# John Venn

John Venn was born in 1834, to a highly religious Christian family at Hull, England. His mother died when he was extremely young and dad was engaged with rendering his services to the church. He finished from the Cambridge University and in 1857 was chosen as a fellow of the college. He stayed a fellow for the rest of his life. From 1858 he lived at different areas and lastly went back to Cambridge in 1862. For the next thirty years, Venn committed himself to ‘Reasoning’.

He composed three books on this topic. The very first one was ‘the logic of chance’ in 1866, the 2nd,’ symbolic reasoning’ in 1881, and the third,’ The concepts of Empirical logic’, in 1889. (Brinley Lisa) John Venn is famous for his conception of Venn diagrams, a visual representation of mathematical logic. He introduced the concept for the very first time in 1880, in a paper entitled,’ On the diagrammatic and mechanical representation of propositions and thinkings’, which appeared in the philosophical magazine and the journal of Science, July 1980.

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(Brinley Lisa ).

Venn Diagrams If 3 discs R, S, T are subsets of U, then the crossways of these discs and their matches divide U into 8 areas, which do not overlap. The unions provide 256 mixes of the 3 disks R, S, T. Proper working of Venn diagrams require an order of precedence and operators to follow. This order is, AND, NOT, OR, XOR (Or and XOR equal ).

This indicates that if both the operations AND and OR are consisted of in an inquiry, AND operation will be taken up first.

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This does not take place ONLY IF parenthesis are utilized, as Expressions in parenthesis are processed initially. Venn Diagram (Brinley Lisa) Venn constantly kept enhancing his theory of graph through his diagrams. He never interpreted them as an effort to clarify, what he thought were the inconsistencies and obscurities of Boole’s logic. Venn realized that his diagrams were not sufficiently general.

So he proposed a method by which a series of circles divide a plane into many compartments so that each successive circle would intersect all the compartments. This idea was to later develop as a concept of a ‘universal set ‘. At a later stage of his life, Venn became more interested in history and made some important contribution by documenting the history of Cambridge. John Venn will always be remembered for his contribution to extension of Boole’s logic, in a visual, diagrammatic way.

Venn digrams are very useful in variety of applications including set theory, probability, logic, statistics and computer science. In a recent BBC poll, John Venn emerged as the third most greatest mathematician of recent times, next only to Newton and Euler. ( John Venn )

## Works – cited page

1. Brinley Lisa, Gregory Emy, Biography of John Venn 1998, Retrieved on 22 March 07 from: < http://www. andrews. edu/~ calkins/math/biograph/biovenn. htm >
2. John Venn, wikipedia the free encyclopedia, 25 February 2007, Retrieved on 22 March 2007 from: < http://en. wikipedia. org/wiki/John_Venn>.