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Beginning of Paper
Augustus DeMorgan was an English mathematician, logician, and bibliographer. He was born in June 1806 at Madura, Madras presidency, India and educated at Trinity College, Cambridge in 1823. Augustus DeMorgan had passed away on March 18, 1871, in London. Augustus was recognized as far superior in mathematical ability to any other person ....

Middle of Paper
.... Aristole was unnecessarily restricted scope. By reflecting on the processes of mathematics, he was led like Boole, to the conviction that a far larger number of valid inference were possible that had hitherto been recognized. His most notable achievements were to lay the foundation for the theory of relations to prepare the way to rise of modern symbolic, or mathematical, logic. His name is commemorated in DeMorgan’s Law, which is usually presented in the concise alternative forms ~( pvq ) = ~p & ~q; and ~( p&q ) = `~p v ~q. These read not ( p or q ) equals not p or not q ; a ....

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