Augustus Demorgan

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which began in the first half of the 19th century, was due almost entirely to the writings of the two British mathematicians, DeMorgan and G. Boole. He always laid much stress upon the importance of logical training. His importance in the history of logic’s, however, primarily due to his realization that the subject as it had come down from 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 ; and not ( p and q ) equals not p or not q.
These ...

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