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Originally published in 1966 On the Syllogism and Other Logical
Writings assembles for the first time the five celebrated memoirs
of Augustus De Morgan on the syllogism. These are collected
together with the more condensed accounts of his researches given
in his Syllabus of a Proposed System of Logic an article on Logic
contributed to the English Cyclopaedia. De Morgan was among the
most distinguished of nineteenth century British mathematicians but
is chiefly remembered today as one of the founders of modern
mathematical logic. His writings on this subject have been little
read, however since apart from his Formal Logic, they lie buried
for the most part in inaccessible periodicals. De Morgan's own
later amendments are inserted in the text and the editorial
introduction gives a summary of the whole and traces in some detail
the course of the once-famous feud with Sir William Hamilton of
Edinburgh.
Originally published in 1966 On the Syllogism and Other Logical
Writings assembles for the first time the five celebrated memoirs
of Augustus De Morgan on the syllogism. These are collected
together with the more condensed accounts of his researches given
in his Syllabus of a Proposed System of Logic an article on Logic
contributed to the English Cyclopaedia. De Morgan was among the
most distinguished of nineteenth century British mathematicians but
is chiefly remembered today as one of the founders of modern
mathematical logic. His writings on this subject have been little
read, however since apart from his Formal Logic, they lie buried
for the most part in inaccessible periodicals. De Morgan's own
later amendments are inserted in the text and the editorial
introduction gives a summary of the whole and traces in some detail
the course of the once-famous feud with Sir William Hamilton of
Edinburgh.
An important figure in the development of modern mathematical logic
and abstract algebra, Augustus De Morgan (1806-71) was also a witty
writer who made a hobby of collecting evidence of paradoxical and
illogical thinking from historical sources as well as contemporary
pamphlets and periodicals. Based on articles that had appeared in
The Athenaeum during his lifetime, this work was edited by his
widow and published in book form in 1872. It parades all varieties
of crackpot, from circle-squarers to inventors of perpetual motion
machines, all for the reader's entertainment and education. Filled
with anecdotes, personal opinions and 'squibs' of every kind, the
book remains enjoyable reading for those who are amused rather than
appalled by the human condition. Also reissued in the Cambridge
Library Collection are the Memoir of Augustus De Morgan (1882),
prepared by his wife, and his ambitious Formal Logic (1847).
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.
In the preface to this work, mathematician Augustus De Morgan (1806
71) claims that 'The most worthless book of a bygone day is a
record worthy of preservation.' His purpose in writing this
catalogue, published in 1847, was to provide an accurate record of
the early history of publishing on arithmetic, but describing only
those books which he had examined himself. He surveyed the library
of the Royal Society, works in the British Museum, the wares of
specialist booksellers, and the private collections of himself and
his friends to compile a chronological list of books from 1491 to
1846 (the final book being a work of his own), giving
bibliographical details, a description of the contents, and
sometimes comments on the mathematics on display. De Morgan's
Formal Logic and a Memoir of Augustus De Morgan by his widow are
also reissued in the Cambridge Library Collection."
The fame of Augustus De Morgan (1806 1871), a brilliant
mathematician and logician, has been eclipsed by that of his son,
the celebrated ceramicist William De Morgan. However, as readers of
his Memoir will discover, De Morgan senior enjoyed an equally
distinguished, if turbulent, career. Collated by his wife, and
published in 1882, nine years after his death, the Memoir of
Augustus de Morgan chronicles the varied life of an
under-appreciated genius. Biographical narrative is interleaved
with his own correspondence, revealing a humorous and warm
personality as well as an exceptional intellect. As the Pall Mall
Gazette told its readers, 'quaint and original to the last, every
word of De Morgan's correspondence is well worth reading'. Although
rich in detail about his work and publications, Sophia Elizabeth's
affectionate account of her husband is also sympathetic and witty,
making it an ideal introduction to one of Britain's greatest minds.
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The Differential And Integral Calculus - Containing Differentiation, Integration, Development, Series, Differential Equations, Differences, Summation, Equations Of Differences, Calculus Of Variations, Definite Integrals, --with Applications To Algebra, (Hardcover)
Augustus De Morgan; Created by Society for the Diffusion of Useful Kno
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R1,419
Discovery Miles 14 190
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Ships in 10 - 15 working days
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The Differential And Integral Calculus - Containing Differentiation, Integration, Development, Series, Differential Equations, Differences, Summation, Equations Of Differences, Calculus Of Variations, Definite Integrals, --with Applications To Algebra, (Paperback)
Augustus De Morgan; Created by Society for the Diffusion of Useful Kno
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R1,152
Discovery Miles 11 520
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Ships in 10 - 15 working days
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A Budget of Paradoxes (Hardcover)
Augustus De Morgan, Sophia Elizabeth Frend De Morgan, David Eugene Smith
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R1,053
Discovery Miles 10 530
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Ships in 10 - 15 working days
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