Augustus De Morgan

Augustus De Morgan (June 27, 1806 - March 18, 1871) was an Indian-born British mathematician and logician. He formulated De Morgan's laws and was the first to introduce the term, and make rigorous the idea of mathematical induction.1 De Morgan crater on the Moon is named after him. Augustus De Morgan - Biography. Augustus De Morgan - Childhood. Augustus De Morgan was born June 27, 18062 in ...

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De Morgan was a brilliant and witty writer, whether as a controversialist or as a correspondent. In his time there flourished two Sir William Rowan Hamiltons who have often been confounded. The one Sir William was a baronet (that is, inherited the title), a Scotsman, professor of logic and metaphysics in the University of Edinburgh; the other was a knight (that is, won the title), an Irishman, professor of astronomy in the University of Dublin. The baronet contributed to logic the doctrine of the quantification of the predicate; the knight, ...

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Augustus De Morgan, Augustus De Morgan - Biography, Augustus De Morgan - Childhood, Augustus De Morgan - University education, Augustus De Morgan - London University, Augustus De Morgan - Retirement and death, Augustus De Morgan - Mathematical work, Augustus De Morgan - Relations, Augustus De Morgan - Notes

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De Morgan was a brilliant and witty writer, whether as a controversialist or as a correspondent. In his time there flourished two Sir William Hamiltons who have often been confounded. The one was Sir William Hamilton, 9th Baronet (that is, his title was inherited), a Scotsman, professor of logic and metaphysics at the University of Edinburgh; the other was a knight (that is, won the title), an Irishman, professor at astronomy in the University of Dublin. The baronet contributed to logic, especially the doctrine of the quantification of the p ...

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Augustus De Morgan, Augustus De Morgan - Biography, Augustus De Morgan - Childhood, Augustus De Morgan - University education, Augustus De Morgan - London University, Augustus De Morgan - Retirement and death, Augustus De Morgan - Mathematical work, Augustus De Morgan - Relations, Augustus De Morgan - Notes

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The word probability derives from the Latin probare (to prove, or to test). Informally, probable is one of several words applied to uncertain events or knowledge, being more or less interchangeable with likely, risky, hazardous, uncertain, and doubtful, depending on the context. Chance, odds, and bet are other words expressing similar notions. As with the theory of mechanics which assigns precise definitions to such everyday terms as work and force< ...

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• Probability - Historical remarks
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• Probability - Formalization of probability
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The Right Honourable Bertrand Arthur William Russell, 3rd Earl Russell, OM, FRS (18 May 1872 – 2 February 1970), was an influential British logician, philosopher, and mathematician, working mostly in the 20th century. A prolific writer, Bertrand Russell was also a populariser of philosophy and a commentator on a large variety of topics, ranging from very serious issues to the mundane. Continuing a family tradition in political affairs, he was a prominent liberal as well as a socialist and anti-war activist for most of his long life. ...

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Charles Sanders Santiago Peirce (pronounced purse), (September 10, 1839, Cambridge, Massachusetts – April 19, 1914, Milford, Pennsylvania) was an American polymath. Although educated as a chemist and employed as a scientist for 30 years, he is now mostly seen as a philosopher. He is the greatest American builder of architectonic systems, and his admirers deem him the most important systemat ...

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• Charles Peirce - Normative sciences
• Charles Peirce - Parallels with Leibniz
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Augusta Ada King, Countess of Lovelace (December 10, 1815 – November 27, 1852) is mainly known for having written a description of Charles Babbage's early mechanical general-purpose computer, the analytical engine. Ada Lovelace - Life. Ada was the only legitimate child of the poet Lord Byron and his wife, Annabella Milbanke. Ada was named after Byron's half-sister, Augusta Leigh, by whom he was rumoured to have fathered a child. It was Augusta who encouraged Byron to marry to avoid scandal, and he relucta ...

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Canada - Mexico - South Africa - U.S. Rail Transport - Science - Sports Births - Deaths 1871 was a common year starting on Sunday (see link for calendar). 1871 - Events. 1871 - January - April. January 2 - Amadeus I becomes King of Spain. January 10 - France surrenders to end the Franco-Prussian War January 18 - The member-states of the North German Confederation unite into a single nation-state known as the German Empire. The ...

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University of Edinburgh United Kingdom The University of Edinburgh, founded in 1583, is a renowned centre for teaching and research in Edinburgh, Scotland. It is one of the ancient universities of Scotland and is amongst the largest and most prestigious in the United Kingdom. University of Edinburgh - History. The founding of the University is attributed to Bishop Robert Reid of St Magnus Cathedral, Kirkwall, who left the funds on his death in 1558 that ultimately provided ...

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Gottfried Wilhelm von Leibniz (also Leibnitz) (July 1 (June 21 Old Style) 1646, Leipzig – November 14, 1716, Hanover) was a German polymath, deemed a genius in his lifetime and since, and the last true polyhistor. Trained as a lawyer and active as a diplomat and librarian, he wrote on philosophy, science, mathematics, theology, history, and comparative philology, even writing verse. Through his service to two major German noble houses, he played a major role in the European ...

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George Boole [buːl], (November 2, 1815 Lincoln, Lincolnshire, England – December 8, 1864 Ballintemple, County Cork, Ireland) was a mathematician and philosopher. As the inventor of Boolean algebra, the basis of all modern computer arithmetic, Boole is regarded in hindsight as one of the founders of the field of computer science, although computers did not exist in his day (see "Legacy" section below). George Boole - Biography. George HOMA Boole ...

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In logic, De Morgan's laws (or De Morgan's theorem) are rules in formal logic relating pairs of dual logical operators in a systematic manner expressed in terms of negation. The relationship so induced is called De Morgan duality. To give some intuition, suppose P is true if and only if it is raining and Q is true if and only if you are wearing a raincoat. If you never go in the rain without a raincoat, then it can't be that P is true and Q is false. Thus, following ...

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People with the last name de Morgan: Augustus De Morgan, mathematician and logician Evelyn De Morgan, English pre-Raphaelite painter, wife of William William De Morgan, designer, potter, and novelist, husband of Evelyn Other related archivesAugustus De Morgan, Evelyn De Morgan, William De Morgan, pre-Raphaelite

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Although the mathematical notion of function was implicit in trigonometric and logarithmic tables, which existed in his day, Leibniz was the first, in 1692 and 1694, to employ it explicitly, to denote any of several geometric concepts derived from a curve, such as abscissa, ordinate, tangent, chord, and the perpendicular (Struik 1969: 367). Only later did "function" lose these geometrical associations. Leibniz was the first to see that the coefficients of a system of linear equations could be arranged into arrays, now called determina ...

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Gottfried Leibniz, Gottfried Leibniz - Life, Gottfried Leibniz - Early life and education, Gottfried Leibniz - Career, Gottfried Leibniz - Writings, Gottfried Leibniz - Posthumous reputation, Gottfried Leibniz - Philosopher, Gottfried Leibniz - Metaphysics, Gottfried Leibniz - Theodicy and optimism, Gottfried Leibniz - Symbolic thought, Gottfried Leibniz - Characteristica Universalis Universal characteristic and Calculus Ratiocinator, Gottfried Leibniz - Formal logic, Gottfried Leibniz - Mathematician, Gottfried Leibniz - Topology, Gottfried Leibniz - The dispute over who first invented the calculus, Gottfried Leibniz - Science and technology, Gottfried Leibniz - The vis viva, Gottfried Leibniz - Information technology, Gottfried Leibniz - Philologist, Gottfried Leibniz - The Sinophile, Gottfried Leibniz - Works, Gottfried Leibniz - Secondary literature, Gottfried Leibniz - Quotes

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The founding of the University is attributed to Bishop Robert Reid of St Magnus Cathedral, Kirkwall, who left the funds on his death in 1558 that ultimately provided the endowment for the University of Edinburgh. The University was established by a Royal Charter granted by James VI in 1582. This was an unusual move at the time, as most universities were established through Papal bulls. What makes the University of Edinburgh even more unusual is the fact that its funding came the following year from the Town Council, making it in many ways th ...

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University of Edinburgh, University of Edinburgh - History, University of Edinburgh - Present, University of Edinburgh - Location, University of Edinburgh - Alumni, University of Edinburgh - Politics, University of Edinburgh - Sciences, University of Edinburgh - Arts, University of Edinburgh - Miscellaneous

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Augustus De Morgan originally observed that in classical propositional logic the following relationships hold: not (P and Q) = (not P) or (not Q) not (P or Q) = (not P) and (not Q) De Morgan's observation influenced the algebraisation of logic undertaken by George Boole, which cemented De Morgan's claim to the find, although a similar observation was made by Aristotle and was known to Greek and Medieval logicians (cf. Bocheński's History of Formal Logic). In formal logic the laws are usually written < ...

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De Morgan's laws, De Morgan's laws - History and formulations, De Morgan's laws - Quotes

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Note O: - For more information about this person's contribution to philosophy, see his/her entry in The Oxford Companion to Philosophy. Oxford University Press; 1995. ISBN 0198661320 Note R: - For more information about this person's contribution to philosophy, see his/her entry in the Concise Routledge Encyclopedia of Philosophy. Routledge; 2000. ISBN 0415223644 ...

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List of philosophers, List of philosophers - A, List of philosophers - B, List of philosophers - C, List of philosophers - D, List of philosophers - E, List of philosophers - F, List of philosophers - G, List of philosophers - H, List of philosophers - I, List of philosophers - J, List of philosophers - K, List of philosophers - L, List of philosophers - M, List of philosophers - N, List of philosophers - O, List of philosophers - P, List of philosophers - Q, List of philosophers - R, List of philosophers - S, List of philosophers - T, List of philosophers - U, List of philosophers - V, List of philosophers - W, List of philosophers - X, List of philosophers - Y, List of philosophers - Z, List of philosophers - Notes, List of philosophers - General philosophy lists, List of philosophers - General philosophy topics, List of philosophers - General online philosophy resources

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The conjecture was first proposed in 1852 when Francis Guthrie, while trying to color the map of counties of England, noticed that only four different colors were needed. At the time, Guthrie was a student of Augustus De Morgan at University College. (Guthrie graduated in 1850, and later became a professor of mathematics in South Africa). According to de Morgan: A student of mine [Guthrie] asked me today to give him a reason for a fact which I did not know was a fact - and do not yet. He says that if a figure be anyhow ...

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Four color theorem, Four color theorem - History, Four color theorem - Not for map-makers, Four color theorem - Formal statement in graph theory, Four color theorem - False disproofs, Four color theorem - Generalizations, Four color theorem - Real world counterexamples

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The Pandya King Kulasekaran built a temple, which would later be known as the Meenakshi Temple, and created a lotus shaped city around the temple. Legend has it that on the day the city was to be named, as Lord Shiva blessed the land and its people, divine nectar was showered on the city from his matted locks. This city was henceforth known as Madhurapuri, meaning "The Land of Divine Nectar". According to a different theory, the name Madurai is actually a transformation of the Tamil word "Marudhai" (மருதை), which means a fertile ag ...

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Madurai, Madurai - History, Madurai - Administration, Madurai - Demographics, Madurai - People and culture, Madurai - City architecture and planning, Madurai - Education, Madurai - Economy, Madurai - Industrial development, Madurai - Present problems, Madurai - Slow development, Madurai - Brain drain, Madurai - Lack of initiatives, Madurai - The way ahead, Madurai - Notable people born in Madurai, Madurai - Headline text

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It is not sufficiently recognized that Peirce’s career was that of a scientist, not a philosopher; and that during his lifetime he was known and valued chiefly as a scientist, only secondly as a logician, and scarcely at all as a philosopher. Even his work in philosophy and logic will not be understood until this fact becomes a standing premise of Peircian studies. (Max Fisch, in Moore and Robin 1964: 486). Upon this first, and in one sense sole, rule of reason, that in order to learn you must desire to learn, and in so desiring not ...

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Charles Peirce, Charles Peirce - Life, Charles Peirce - Reception, Charles Peirce - Works, Charles Peirce - Major publications, Charles Peirce - Peirce's philosophy, Charles Peirce - Pragmatism, Charles Peirce - Scholastic realism, Charles Peirce - Formal perspective, Charles Peirce - Dynamics of representation, Charles Peirce - Normative sciences, Charles Peirce - Parallels with Leibniz, Charles Peirce - Bibliography, Charles Peirce - Primary literature, Charles Peirce - Secondary literature

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