Augustus De Morgan - Article Index

Encyclopedia - Augustus De Morgan: Encyclopedia - 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...   » Read the article

Encyclopedia - Augustus De Morgan: Encyclopedia Ii - Augustus De Morgan - Mathematical Work
De Morgan was a brilliant and witty writer, whether as a controversialist or as a correspondent. In his time there flourished two Sir Wil...   » Read the article

Encyclopedia - Augustus De Morgan: Encyclopedia Ii - Augustus De Morgan - Mathematical Work
De Morgan was a brilliant and witty writer, whether as a controversialist or as a correspondent. In his time there flourished two Sir Wil...   » Read the article

Encyclopedia - Probability: Encyclopedia - Probability
The word probability derives from the Latin probare (to prove, or to test). Informally, probable is one of several words applied to uncer...   » Read the article

Encyclopedia - Bertrand Russell: Encyclopedia - Bertrand Russell
The Right Honourable Bertrand Arthur William Russell, 3rd Earl Russell, OM, FRS (18 May 1872 – 2 February 1970), was an influential Bri...   » Read the article

Encyclopedia - Charles Peirce: Encyclopedia - Charles Peirce
Charles Sanders Santiago Peirce (pronounced purse), (September 10, 1839, Cambridge, Massachusetts – April 19, 1914, Milford, Pennsylvan...   » Read the article

Encyclopedia - Ada Lovelace: Encyclopedia - Ada Lovelace
Augusta Ada King, Countess of Lovelace (December 10, 1815 – November 27, 1852) is mainly known for having written a description of Char...   » Read the article

Encyclopedia - 1871: Encyclopedia - 1871
Canada - Mexico - South Africa - U.S. Rail Transport - Science - Sports Births - Deaths 1871 was a common year starting on Sunday (see l...   » Read the article

Encyclopedia - University Of Edinburgh: Encyclopedia - University Of Edinburgh
University of Edinburgh United Kingdom The University of Edinburgh, founded in 1583, is a renowned centre for teaching and research in Ed...   » Read the article

Encyclopedia - Gottfried Leibniz: Encyclopedia - Gottfried Leibniz
Gottfried Wilhelm von Leibniz (also Leibnitz) (July 1 (June 21 Old Style) 1646, Leipzig – November 14, 1716, Hanover) was a German poly...   » Read the article

Encyclopedia - George Boole: Encyclopedia - George Boole
George Boole [buːl], (November 2, 1815 Lincoln, Lincolnshire, England – December 8, 1864 Ballintemple, County Cork, Ireland) was a mat...   » Read the article

Encyclopedia - De Morgan's Laws: Encyclopedia - De Morgan's Laws
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 ma...   » Read the article

Encyclopedia - De Morgan: Encyclopedia - De Morgan
People with the last name de Morgan: Augustus De Morgan, mathematician and logician Evelyn De Morgan, English pre-Raphaelite painter, w...   » Read the article

Encyclopedia - Gottfried Leibniz: Encyclopedia Ii - Gottfried Leibniz - Mathematician
Although the mathematical notion of function was implicit in trigonometric and logarithmic tables, which existed in his day, Leibniz was ...   » Read the article

Encyclopedia - University Of Edinburgh: Encyclopedia Ii - 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 1...   » Read the article

Encyclopedia - De Morgan's Laws: Encyclopedia Ii - De Morgan's Laws - History And Formulations
Augustus De Morgan originally observed that in classical propositional logic the following relationships hold: not (P and Q) = (not P) o...   » Read the article

Encyclopedia - List Of Philosophers: Encyclopedia Ii - List Of Philosophers - Notes
Note O: - For more information about this person's contribution to philosophy, see his/her entry in The Oxford Companion to Philosophy....   » Read the article

Encyclopedia - Four Color Theorem: Encyclopedia Ii - Four Color Theorem - History
The conjecture was first proposed in 1852 when Francis Guthrie, while trying to color the map of counties of England, noticed that only f...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - History
The Pandya King Kulasekaran built a temple, which would later be known as the Meenakshi Temple, and created a lotus shaped city around th...   » Read the article

Encyclopedia - Charles Peirce: Encyclopedia Ii - Charles Peirce - Peirce's Philosophy
It is not sufficiently recognized that Peirce’s career was that of a scientist, not a philosopher; and that during his lifetime he was ...   » Read the article

Encyclopedia - Bertrand Russell: Encyclopedia Ii - Bertrand Russell - Russell's Philosophical Work
Bertrand Russell - Analytic philosophy. Russell is generally recognised as one of the founders of analytic philosophy, indeed, even of ...   » Read the article

Encyclopedia - Gottfried Leibniz: Encyclopedia Ii - Gottfried Leibniz - Life
The only biography in English is Aiton (1986). A lively short account of Leibniz’s life, one also doing fair justice to the breadth of ...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - History
The Pandya King Kulasekaran built a temple, which would later be known as the Meenakshi Temple, and created a lotus shaped city around th...   » Read the article

Encyclopedia - Trinity College Cambridge: Encyclopedia Ii - Trinity College Cambridge - Notable Alumni
See also: Category:Alumni of Trinity College, Cambridge Trinity College Cambridge - Trinity Nobel Prize winners. 1904 Lord Rayleigh (P...   » Read the article

Encyclopedia - Mathematical Logic: Encyclopedia Ii - Mathematical Logic - Technical Reference
Mathematical logic - First-order languages and structures. Definition. A first-order language is a collection of distinct typographica...   » Read the article

Encyclopedia - Ratio Test: Encyclopedia Ii - Ratio Test - Examples
Ratio test - Converging. Consider the series: Putting this into the ratio test: = = = = = = Thus the series ...   » Read the article

Encyclopedia - Louis Couturat: Encyclopedia Ii - Louis Couturat - Life
Born in Ris-Orangis (near Paris), France, he was educated in philosophy and mathematics at the École Normale Supérieure. He held profes...   » Read the article

Encyclopedia - George Boole: Encyclopedia Ii - George Boole - Biography
George HOMA Boole's father was a tradesman of limited means, but of studious character and active mind. Being especially interested in ma...   » Read the article

Encyclopedia - Charles Peirce: Encyclopedia Ii - Charles Peirce - Peirce's Philosophy
It is not sufficiently recognized that Peirce’s career was that of a scientist, not a philosopher; and that during his lifetime he was ...   » Read the article

Encyclopedia - Ada Lovelace: Encyclopedia Ii - 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, Augus...   » Read the article

Encyclopedia - 1871: Encyclopedia Ii - 1871 - Events
1871 - January - April. January 2 - Amadeus I becomes King of Spain. January 10 - France surrenders to end the Franco-Prussian War Jan...   » Read the article

Encyclopedia - Probability: Encyclopedia Ii - Probability - Historical Remarks
The scientific study of probability is a modern development. Gambling shows that there has been an interest in quantifying the ideas of p...   » Read the article

Encyclopedia - Gottfried Leibniz: Encyclopedia Ii - Gottfried Leibniz - Mathematician
Although the mathematical notion of function was implicit in trigonometric and logarithmic tables, which existed in his day, Leibniz was ...   » Read the article

Encyclopedia - Gottfried Leibniz: Encyclopedia Ii - Gottfried Leibniz - Philosopher
It is very difficult to grasp Leibniz's philosophical thinking, because his philosophical writings consist mainly of a multitude of short...   » Read the article

Encyclopedia - Bertrand Russell: Encyclopedia Ii - Bertrand Russell - Russell Summing Up His Life
Admitting to failure in helping the world to conquer war and in winning his perpetual intellectual battle for eternal truths, Russell wro...   » Read the article

Encyclopedia - Gottfried Leibniz: Encyclopedia Ii - Gottfried Leibniz - Scientist And Engineer
Leibniz's writings are currently discussed, not only for their anticipations and possible discoveries not yet recognized, but as ways of ...   » Read the article

Encyclopedia - Gottfried Leibniz: Encyclopedia Ii - Gottfried Leibniz - Lawyer Moralist Theologian
No philosopher has ever had as much experience with practical affairs of state as Leibniz, Marcus Aurelius possibly excepted. Leibniz's w...   » Read the article

Encyclopedia - Gottfried Leibniz: Encyclopedia Ii - Gottfried Leibniz - Works
AG = Ariew & Garber (1989). LL = Loemker (1969). W = Wiener (1951). Woolhouse and Francks (1998) = WF. The ongoing critical edition o...   » Read the article

Encyclopedia - Gottfried Leibniz: Encyclopedia Ii - Gottfried Leibniz - Universal Genius
The following episode from the life of Leibniz illustrates the breadth of his genius, and the difficulties awaiting those who try to come...   » Read the article

Encyclopedia - Gottfried Leibniz: Encyclopedia Ii - Gottfried Leibniz - Sinophile
Leibniz was perhaps the first major European intellect to take a close interest in Chinese civilization, which he knew by corresponding w...   » Read the article

Encyclopedia - Charles Peirce: Encyclopedia Ii - Charles Peirce - Bibliography
Charles Peirce - Primary literature. Abbreviations for frequently cited works: CE n, m = Writings of Charles S. Peirce: A Chronologica...   » Read the article

Encyclopedia - Probability: Encyclopedia Ii - Probability - Concepts
There is essentially one set of mathematical rules for manipulating probability; these rules are listed under "Formalization of probabili...   » Read the article

Encyclopedia - Probability: Encyclopedia Ii - Probability - Probability In Mathematics
Probability axioms form the basis for mathematical probability theory. Calculation of probabilities can often be determined using combina...   » Read the article

Encyclopedia - Probability: Encyclopedia Ii - Probability - Applications Of Probability Theory To Everyday Life
A major effect of probability theory on everyday life is in risk assessment and in trade on commodity markets. Governments typically appl...   » Read the article

Encyclopedia - Trinity College Cambridge: Encyclopedia Ii - Trinity College Cambridge - Legends
Many apocryphal stories have been told about the college's wealth. Trinity is sometimes suggested to be the second or third largest lando...   » Read the article

Encyclopedia - Probability: Encyclopedia Ii - Probability - Formalization Of Probability
Like other theories, the theory of probability is a representation of probabilistic concepts in formal terms -- that is, in terms that ca...   » Read the article

Encyclopedia - Charles Peirce: Encyclopedia Ii - Charles Peirce - Life
Right from the beginning, the relations of America as New England with Europe were, from the philosophical point of view, ambiguous, when...   » Read the article

Encyclopedia - Charles Peirce: Encyclopedia Ii - Charles Peirce - Works
Peirce's reputation is based in large part on a number of academic papers published in American scholarly and scientific journals. These ...   » Read the article

Encyclopedia - Charles Peirce: Encyclopedia Ii - Charles Peirce - Reception
Bertrand Russell opined, "Beyond doubt … he was one of the most original minds of the later nineteenth century, and certainly the great...   » Read the article

Encyclopedia - Gottfried Leibniz: Encyclopedia Ii - Gottfried Leibniz - Secondary Literature
Introductory: Jolley, Nicholas, 2005. Leibniz. Routledge. MacDonald Ross, George, 1984. Leibniz. Oxford Uni. Press. W. W. Rouse Ball, 19...   » Read the article

Encyclopedia - Probability: Encyclopedia Ii - Probability - Formalization Of Probability
Like other theories, the theory of probability is a representation of probabilistic concepts in formal terms—that is, in terms that can...   » Read the article

Encyclopedia - Ratio Test: Encyclopedia Ii - Ratio Test - The Test
Formally, the ratio test states that if then the series converges absolutely, and if then the series diverges. There exist both ...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - The Way Ahead
Madurai has an impressive infrastructure for a city its size and has plenty of room for expansion. Madurai has a small airport with conne...   » Read the article

Encyclopedia - Ratio Test: Encyclopedia Ii - Ratio Test - When The Ratio Test Fails
As seen in the previous example, the ratio test is inconclusive when the limit of the ratio is 1. An extension of the ratio test due to R...   » Read the article

Encyclopedia - Bertrand Russell: Encyclopedia Ii - Bertrand Russell - Russell's Activism
Political and social activism occupied much of Russell's time for most of his long life, which makes his prodigious and seminal writing o...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - Present Problems
Madurai - Slow development. Unlike many other historical cities that have been reduced to small towns, hamlets and ruins in the modern ...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - Industrial Development
Madurai has long been a laggard in industrial development as compared to other parts of Tamil Nadu and India. The only major industries t...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - Administration
In the post-Independence era, Madurai District, headquartered at Madurai City, was one of the largest districts of Tamil Nadu. It was als...   » Read the article

Encyclopedia - Probability: Encyclopedia Ii - Probability - Applications Of Probability Theory To Everyday Life
Two major applications of probability theory in everyday life are in risk assessment and in trade on commodity markets. Governments typic...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - Demographics
The population of Madurai City is about 1.1 million. There are 976 females per 1,000 males. The literacy rate stands at 79%, well above t...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - People And Culture
The people of Madurai are amicable, hospitable, and deeply respect and value their tradition. They lead a relaxed and casual lifestyle, a...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - Economy
Madurai's economy is chiefly agrarian. Textiles and tourism contribute significantly to the local economy. Madurai is famous for "Sungudi...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - City Architecture And Planning
The City of Madurai, was originally built around the Meenakshi temple [2] [3] [4]. Rectangular streets named after the Tamil months of Aa...   » Read the article

Encyclopedia - Trinity College Cambridge: Encyclopedia Ii - Trinity College Cambridge - Traditions
The Great Court Run The Great Court Run is an attempt to run round the perimeter of Great Court (approximately 367 metres), in the 43 sec...   » Read the article

Encyclopedia - Trinity College Cambridge: Encyclopedia Ii - Trinity College Cambridge - History
The college was founded by Henry VIII in 1546, from the merger of two existing colleges: Michaelhouse (founded by Hervey de Stanton in 13...   » Read the article

Encyclopedia - Gottfried Leibniz: Encyclopedia Ii - Gottfried Leibniz - Works
LL = Loemker (1969). W = Wiener (1951). The ongoing complete critical edition of Leibniz's writings is Sämtliche Schriften und Briefe. S...   » Read the article

Encyclopedia - Gottfried Leibniz: Encyclopedia Ii - Gottfried Leibniz - Science And Technology
Leibniz's writingss are currently discussed seriously in a number of fields at the forefront of science, not only as anticipations and po...   » Read the article

Encyclopedia - Charles Peirce: Encyclopedia Ii - Charles Peirce - Life
Right from the beginning, the relations of America as New England with Europe were, from the philosophical point of view, ambiguous, when...   » Read the article

Encyclopedia - George Boole: Encyclopedia Ii - George Boole - Legacy
Boole's work was extended and refined by William Stanley Jevons, Augustus De Morgan, Charles Peirce, and William Ernest Johnson. This wor...   » Read the article

Encyclopedia - Four Color Theorem: Encyclopedia Ii - Four Color Theorem - False Disproofs
Like many famous open problems of mathematics, the four color theorem has attracted a large number of false proofs and disproofs in its l...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - Demographics
The population of Madurai City is about 1.1 million. There are 976 females per 1,000 males. The literacy rate stands at 79%, well above t...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - Administration
In the post-Independence era, Madurai District, headquartered at Madurai City, was one of the largest districts of Tamil Nadu. It was als...   » Read the article

Encyclopedia - Four Color Theorem: Encyclopedia Ii - Four Color Theorem - Not For Map-makers
The four color theorem does not arise out of and has no origin in practical cartography. According to Kenneth May, a mathematical histori...   » Read the article

Encyclopedia - Gottfried Leibniz: Encyclopedia Ii - Gottfried Leibniz - Philosopher
It is very difficult to grasp Leibniz's philosophical thinking, because his philosophical writings consist mainly of a multitude of short...   » Read the article

Encyclopedia - Gottfried Leibniz: Encyclopedia Ii - Gottfried Leibniz - Life
The only biography in English is Aiton (1986). Also see MacDonald Ross (1984: chpt. 1), Mates (1986: 14-35), Jolley (2005: chpt. 1 & ...   » Read the article

Encyclopedia - Charles Peirce: Encyclopedia Ii - Charles Peirce - Works
Peirce's reputation is based in large part on a number of academic papers published in American scholarly and scientific journals. These ...   » Read the article

Encyclopedia - Four Color Theorem: Encyclopedia Ii - Four Color Theorem - Real World Counterexamples
In the real world, not all countries are contiguous (e.g. Alaska as part of the United States, Nakhichevan as part of Azerbaijan, and Kal...   » Read the article

Encyclopedia - Charles Peirce: Encyclopedia Ii - Charles Peirce - Reception
Bertrand Russell opined, "Beyond doubt … he was one of the most original minds of the later nineteenth century, and certainly the great...   » Read the article

Encyclopedia - Four Color Theorem: Encyclopedia Ii - Four Color Theorem - Generalizations
One can also consider the coloring problem on surfaces other than the plane. The problem on the sphere is equivalent to that on the plane...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - People And Culture
The people of Madurai are amicable, hospitable, and deeply respect and value their tradition. They lead a relaxed and casual lifestyle, a...   » Read the article

Encyclopedia - Charles Peirce: Encyclopedia Ii - Charles Peirce - Bibliography
Charles Peirce - Primary literature. Abbreviations for frequently cited works: CE n, m = Writings of Charles S. Peirce: A Chronologica...   » Read the article

Encyclopedia - Bertrand Russell: Encyclopedia Ii - Bertrand Russell - Influence On Philosophy
It would be difficult to overstate Russell's influence on modern philosophy, especially in the English-speaking world. While others were ...   » Read the article

Encyclopedia - University Of Edinburgh: Encyclopedia Ii - University Of Edinburgh - Present
The University of Edinburgh is a member of the Russell Group of large, research-led British universities. It is also the only Scottish un...   » Read the article

Encyclopedia - Bertrand Russell: Encyclopedia Ii - Bertrand Russell - Biography
Bertrand Russell was born on 18 May 1872 at Trellech, Monmouthshire, Wales, into an aristocratic English family. His paternal grandfather...   » Read the article

Encyclopedia - Ada Lovelace: Encyclopedia Ii - Ada Lovelace - Controversy Over Attribution
Biographers have noted that Lovelace struggled with mathematics, and there is some debate as to whether Lovelace understood deeply the co...   » Read the article

Encyclopedia - Bertrand Russell: Encyclopedia Ii - Bertrand Russell - Comments About Russell
Bertrand Russell - As a man. "Bertrand Russell would not have wished to be called a saint of any description; but he was a great and g...   » Read the article

Encyclopedia - Bertrand Russell: Encyclopedia Ii - Bertrand Russell - Asides
Actor Michael Wisher based the voice of Davros in the 1975 Doctor Who story Genesis of the Daleks on Russell. ... See also:Bertrand Ru...   » Read the article

Encyclopedia - University Of Edinburgh: Encyclopedia Ii - University Of Edinburgh - Location
Edinburgh is one of the greenest and most architecturally beautiful cities in Europe often referred to as the "Athens of the North". The ...   » Read the article

Encyclopedia - University Of Edinburgh: Encyclopedia Ii - University Of Edinburgh - Alumni
The University has many famous alumni, including: University of Edinburgh - Politics. Gordon Brown, Chancellor of the Exchequer Robin ...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - Present Problems
Madurai - Slow development. Unlike many other historical cities that have been reduced to small towns, hamlets and ruins in the modern ...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - Industrial Development
Madurai has long been a laggard in industrial development as compared to other parts of Tamil Nadu and India. The only major industries t...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - Economy
Madurai's economy is chiefly agrarian. Textiles and tourism contribute significantly to the local economy. Madurai is famous for "Sungudi...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - City Architecture And Planning
The City of Madurai, was originally built around the Meenakshi temple [2] [3] [4]. Rectangular streets named after the Tamil months of Aa...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - The Way Ahead
Madurai has an impressive infrastructure for a city its size and has plenty of room for expansion. Madurai has a small airport with conne...   » Read the article

Encyclopedia - Mathematical Logic: Encyclopedia Ii - Mathematical Logic - History
Mathematical logic was the name given by Giuseppe Peano to what is also known as symbolic logic. In essentials, it is still the logic of ...   » Read the article

Encyclopedia - Madurai: Encyclopedia Ii - Madurai - Notable People Born In Madurai
Bold textExternal links=. [http://www.madura == ... See also:Madurai, Madurai - History, Madurai - Administration, Madurai - Demogr...   » Read the article

Encyclopedia - Mathematical Logic: Encyclopedia Ii - Mathematical Logic - Topics In Mathematical Logic
The main areas of mathematical logic include model theory, proof theory and recursion theory (often now referred to as computability theo...   » Read the article

Encyclopedia - Augustus De Morgan: Encyclopedia Ii - Augustus De Morgan - Biography
Augustus De Morgan - Childhood. Augustus De Morgan was born June 27, 18062 in Madura, Madras Presidency, India (now Madurai, Tamil Nadu...   » Read the article