From the end of antiquity to the middle of the nineteenth century
it was generally believed that Aristotle had said all that there
was to say concerning the rules of logic and inference. One of the
ablest British mathematicians of his age, Augustus De Morgan
(1806-71) played an important role in overturning that assumption
with the publication of this book in 1847. He attempts to do
several things with what we now see as varying degrees of success.
The first is to treat logic as a branch of mathematics, more
specifically as algebra. Here his contributions include his laws of
complementation and the notion of a universe set. De Morgan also
tries to tie together formal and probabilistic inference. Although
he is never less than acute, the major advances in probability and
statistics at the beginning of the twentieth century make this part
of the book rather less prophetic.
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