Augustus De Morgan

Bertrand Russell - Analytic philosophy. Russell is generally recognised as one of the founders of analytic philosophy, indeed, even of its several branches. At the beginning of the 20th century, alongside G. E. Moore, Russell was largely responsible for the British "revolt against Idealism", a philosophy greatly influenced by Georg Hegel and his British apostle, F. H. Bradley. This revolt was echoed 30 years later in Vienna by the logical positivists' "revolt against metaphysics". Russell was particularly appalle ...

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Bertrand Russell, Bertrand Russell - Biography, Bertrand Russell - Russell's philosophical work, Bertrand Russell - Analytic philosophy, Bertrand Russell - Epistemology, Bertrand Russell - Ethics, Bertrand Russell - Logical atomism, Bertrand Russell - Logic and mathematics, Bertrand Russell - Philosophy of language, Bertrand Russell - Philosophy of science, Bertrand Russell - Religion and theology, Bertrand Russell - Influence on philosophy, Bertrand Russell - Russell's activism, Bertrand Russell - Pacifism war and nuclear weapons, Bertrand Russell - Communism and socialism, Bertrand Russell - Women's suffrage, Bertrand Russell - Sexuality, Bertrand Russell - Eugenics and race, Bertrand Russell - Russell summing up his life, Bertrand Russell - Comments about Russell, Bertrand Russell - As a man, Bertrand Russell - As a philosopher, Bertrand Russell - As a writer and his place in history, Bertrand Russell - As a mathematician and logician, Bertrand Russell - As an activist, Bertrand Russell - As a recipient of the Nobel Prize for Literature, Bertrand Russell - From a daughter, Bertrand Russell - Quotes, Bertrand Russell - Asides, Bertrand Russell - Succession

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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 his interests and activities, is Mates (1986: 14-35), who cites the German biographies extensively. Also see MacDonald Ross (1984: chpt. 1), the chapter by Ariew in Jolley (1995), and Jolley (2005: chpt. 1). For a biographical glossary of Leibniz's intellectual contemporaries, see AG 350.

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Gottfried Leibniz, Gottfried Leibniz - Life, Gottfried Leibniz - Coming of age, Gottfried Leibniz - Career, Gottfried Leibniz - Writings, Gottfried Leibniz - Posthumous reputation, Gottfried Leibniz - Philosopher, Gottfried Leibniz - The Principles, Gottfried Leibniz - The Monads, Gottfried Leibniz - Theodicy and optimism, Gottfried Leibniz - Symbolic thought, Gottfried Leibniz - Formal logic, Gottfried Leibniz - Mathematician, Gottfried Leibniz - The calculus, Gottfried Leibniz - Topology, Gottfried Leibniz - Scientist and engineer, Gottfried Leibniz - Physics, Gottfried Leibniz - Other natural science, Gottfried Leibniz - Social science, Gottfried Leibniz - Technology, Gottfried Leibniz - The librarian, Gottfried Leibniz - Advocate of scientific societies, Gottfried Leibniz - Lawyer Moralist Theologian, Gottfried Leibniz - Ecumenism, Gottfried Leibniz - Philologist, Gottfried Leibniz - Sinophile, Gottfried Leibniz - Universal Genius, Gottfried Leibniz - Works, Gottfried Leibniz - Secondary literature, Gottfried Leibniz - Other works cited, Gottfried Leibniz - Quotes

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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

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See also: Category:Alumni of Trinity College, Cambridge Trinity College Cambridge - Trinity Nobel Prize winners. 1904 Lord Rayleigh (Physics) 1906 J. J. Thomson (Physics) 1908 Lord Rutherford (Chemistry) 1915 William Bragg (Physics) 1915 Lawrence Bragg (Physics) 1917 Charles Glover Barkla (Physics) 1922 Niels Bohr (Physics) 1922 Francis Aston (Chemistry) 1922 Archibald V. Hill (Physiology or Medicine) 1925 Sir Austen Cha ...

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Trinity College Cambridge, Trinity College Cambridge - History, Trinity College Cambridge - Buildings, Trinity College Cambridge - Traditions, Trinity College Cambridge - Scholarships and Prizes, Trinity College Cambridge - Legends, Trinity College Cambridge - Related pages, Trinity College Cambridge - Notable Alumni, Trinity College Cambridge - Trinity Nobel Prize winners, Trinity College Cambridge - Other notable alumni, Trinity College Cambridge - College Officials, Trinity College Cambridge - List of Masters, Trinity College Cambridge - List of Deans of Chapel

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Mathematical logic - First-order languages and structures. Definition. A first-order language is a collection of distinct typographical symbols classified as follows: The equality symbol ; the connectives , ; the universal quantifier and the parentheses , . A countable set of variable symbols . A set of constant symbols . A set of function symbol ...

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Mathematical logic, Mathematical logic - History, Mathematical logic - Topics in mathematical logic, Mathematical logic - Some fundamental results, Mathematical logic - Technical reference, Mathematical logic - First-order languages and structures, Mathematical logic - Terms formulas and sentences, Mathematical logic - Assignment functions, Mathematical logic - Logical satisfaction, Mathematical logic - Logical implication and truth, Mathematical logic - Variable substitution, Mathematical logic - Substitutability

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Ratio test - Converging. Consider the series: Putting this into the ratio test: = = = = = = Thus the series converges as is less than 1. Ratio test - Diverging. Co ...

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Ratio test, Ratio test - The test, Ratio test - Examples, Ratio test - Converging, Ratio test - Diverging, Ratio test - Inconclusive, Ratio test - When the ratio test fails

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Born in Ris-Orangis (near Paris), France, he was educated in philosophy and mathematics at the École Normale Supérieure. He held professorships, first at the University of Toulouse, then subsequently at the College de France. He was the French advocate of the symbolic logic that emerged in the years before WWI, thanks to the writings of Charles Peirce, Giuseppe Peano and his school, and especially to the Principia Mathematica by Alfred North Whitehead and Couturat's friend and correspondant, Bertrand Russell. Like Russ ...

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Louis Couturat, Louis Couturat - Life, Louis Couturat - External references

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George HOMA Boole's father was a tradesman of limited means, but of studious character and active mind. Being especially interested in mathematical science and logic, the father gave his son his first lessons; but the extraordinary mathematical powers of George Boole did not manifest themselves in early life. At first his favourite subject was classics. Not until the age of seventeen did he attack the higher mathematics, and his progress was much retarded by the want of efficient help. When about sixteen years of age he became assistant-mast ...

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George Boole, George Boole - Biography, George Boole - Legacy, George Boole - Secondary literature

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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 - 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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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 reluctantly chose Annabella. On January 16, 1816, Annabella left Byron, taking 1-month old Ada with her. On April 21, Byron signed the Deed of Separation and left England for good a few days later. He w ...

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Ada Lovelace, Ada Lovelace - Life, Ada Lovelace - Controversy over attribution, Ada Lovelace - Trivia

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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 King of Prussia is declared the first German Emperor as Wilhelm I of Germany. January 21 - Giuseppe Garibaldi's troops win in Dijon March 21 - Marriage of Princess Louise to John Campbell, Marquess of Lorne, whose f ...

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1871, 1871 - Events, 1871 - January - April, 1871 - May - August, 1871 - September - December, 1871 - Unknown date, 1871 - Births, 1871 - Deaths

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The scientific study of probability is a modern development. Gambling shows that there has been an interest in quantifying the ideas of probability for millennia, but exact mathematical descriptions of use in those problems only arose much later. The doctrine of probabilities dates to the correspondence of Pierre de Fermat and Blaise Pascal (1654). Christiaan Huygens (1657) gave the earliest known scientific treatment of the subject. Jakob Bernoulli's Ars Conjectandi (posthumous, 1713) and Abraham de Moivre's Doctrine of Chances (171 ...

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Probability, Probability - Historical remarks, Probability - Concepts, Probability - Formalization of probability, Probability - Representation and interpretation of probability values, Probability - Distributions, Probability - Probability in mathematics, Probability - Remarks on probability calculations, Probability - Applications of probability theory to everyday life, Probability - Quotations

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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). In the 18th century, "function" lost 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 det ...

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Gottfried Leibniz, Gottfried Leibniz - Life, Gottfried Leibniz - Coming of age, Gottfried Leibniz - Career, Gottfried Leibniz - Writings, Gottfried Leibniz - Posthumous reputation, Gottfried Leibniz - Philosopher, Gottfried Leibniz - The Principles, Gottfried Leibniz - The Monads, Gottfried Leibniz - Theodicy and optimism, Gottfried Leibniz - Symbolic thought, Gottfried Leibniz - Formal logic, Gottfried Leibniz - Mathematician, Gottfried Leibniz - The calculus, Gottfried Leibniz - Topology, Gottfried Leibniz - Scientist and engineer, Gottfried Leibniz - Physics, Gottfried Leibniz - Other natural science, Gottfried Leibniz - Social science, Gottfried Leibniz - Technology, Gottfried Leibniz - The librarian, Gottfried Leibniz - Advocate of scientific societies, Gottfried Leibniz - Lawyer Moralist Theologian, Gottfried Leibniz - Ecumenism, Gottfried Leibniz - Philologist, Gottfried Leibniz - Sinophile, Gottfried Leibniz - Universal Genius, Gottfried Leibniz - Works, Gottfried Leibniz - Secondary literature, Gottfried Leibniz - Other works cited, Gottfried Leibniz - Quotes

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It is very difficult to grasp Leibniz's philosophical thinking, because his philosophical writings consist mainly of a multitude of short pieces: journal articles, manuscripts published long after his death, and many letters to many correspondents. He only wrote two philosophical treatises, and the only one he published in his lifetime, the Théodicée of 1710, is as much theological as philosophical. Leibniz dated his beginning as a philosopher to his Discourse on Metaphysics, which he composed in 1686 as a commentary on a run ...

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Gottfried Leibniz, Gottfried Leibniz - Life, Gottfried Leibniz - Coming of age, Gottfried Leibniz - Career, Gottfried Leibniz - Writings, Gottfried Leibniz - Posthumous reputation, Gottfried Leibniz - Philosopher, Gottfried Leibniz - The Principles, Gottfried Leibniz - The Monads, Gottfried Leibniz - Theodicy and optimism, Gottfried Leibniz - Symbolic thought, Gottfried Leibniz - Formal logic, Gottfried Leibniz - Mathematician, Gottfried Leibniz - The calculus, Gottfried Leibniz - Topology, Gottfried Leibniz - Scientist and engineer, Gottfried Leibniz - Physics, Gottfried Leibniz - Other natural science, Gottfried Leibniz - Social science, Gottfried Leibniz - Technology, Gottfried Leibniz - The librarian, Gottfried Leibniz - Advocate of scientific societies, Gottfried Leibniz - Lawyer Moralist Theologian, Gottfried Leibniz - Ecumenism, Gottfried Leibniz - Philologist, Gottfried Leibniz - Sinophile, Gottfried Leibniz - Universal Genius, Gottfried Leibniz - Works, Gottfried Leibniz - Secondary literature, Gottfried Leibniz - Other works cited, Gottfried Leibniz - Quotes

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Admitting to failure in helping the world to conquer war and in winning his perpetual intellectual battle for eternal truths, Russell wrote this in "Reflections on My Eightieth Birthday", which also served as the last entry in the last volume of his autobiography, published in his 98th year: "I have lived in the pursuit of a vision, both personal and social. Personal: to care for what is noble, for what is beautiful, for what is gentle; to allow moments of insight to give wisdom at more mundane times. Social: to see in im ...

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Bertrand Russell, Bertrand Russell - Biography, Bertrand Russell - Russell's philosophical work, Bertrand Russell - Analytic philosophy, Bertrand Russell - Epistemology, Bertrand Russell - Ethics, Bertrand Russell - Logical atomism, Bertrand Russell - Logic and mathematics, Bertrand Russell - Philosophy of language, Bertrand Russell - Philosophy of science, Bertrand Russell - Religion and theology, Bertrand Russell - Influence on philosophy, Bertrand Russell - Russell's activism, Bertrand Russell - Pacifism war and nuclear weapons, Bertrand Russell - Communism and socialism, Bertrand Russell - Women's suffrage, Bertrand Russell - Sexuality, Bertrand Russell - Eugenics and race, Bertrand Russell - Russell summing up his life, Bertrand Russell - Comments about Russell, Bertrand Russell - As a man, Bertrand Russell - As a philosopher, Bertrand Russell - As a writer and his place in history, Bertrand Russell - As a mathematician and logician, Bertrand Russell - As an activist, Bertrand Russell - As a recipient of the Nobel Prize for Literature, Bertrand Russell - From a daughter, Bertrand Russell - Quotes, Bertrand Russell - Asides, Bertrand Russell - Succession

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Leibniz's writings are currently discussed, not only for their anticipations and possible discoveries not yet recognized, but as ways of advancing present knowledge. Much of his writing on physics is included in Gerhardt's Mathematical Writings. His writings on other scientific and technical subjects are mostly scattered and relatively little known, because the Academy edition has yet to publish any volume in its Series Scientific, Medical, and Technical Writings ...

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Gottfried Leibniz, Gottfried Leibniz - Life, Gottfried Leibniz - Coming of age, Gottfried Leibniz - Career, Gottfried Leibniz - Writings, Gottfried Leibniz - Posthumous reputation, Gottfried Leibniz - Philosopher, Gottfried Leibniz - The Principles, Gottfried Leibniz - The Monads, Gottfried Leibniz - Theodicy and optimism, Gottfried Leibniz - Symbolic thought, Gottfried Leibniz - Formal logic, Gottfried Leibniz - Mathematician, Gottfried Leibniz - The calculus, Gottfried Leibniz - Topology, Gottfried Leibniz - Scientist and engineer, Gottfried Leibniz - Physics, Gottfried Leibniz - Other natural science, Gottfried Leibniz - Social science, Gottfried Leibniz - Technology, Gottfried Leibniz - The librarian, Gottfried Leibniz - Advocate of scientific societies, Gottfried Leibniz - Lawyer Moralist Theologian, Gottfried Leibniz - Ecumenism, Gottfried Leibniz - Philologist, Gottfried Leibniz - Sinophile, Gottfried Leibniz - Universal Genius, Gottfried Leibniz - Works, Gottfried Leibniz - Secondary literature, Gottfried Leibniz - Other works cited, Gottfried Leibniz - Quotes

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No philosopher has ever had as much experience with practical affairs of state as Leibniz, Marcus Aurelius possibly excepted. Leibniz's writings on law, ethics, and politics (e.g., AG 19, 94, 111, 193; Riley 1988; LL §§2, 7, 20, 29, 44, 59, 62, 65; W I.1, IV.1-3) were long overlooked by English speaking scholars but this has changed of late; see (in order of difficulty) Jolley (2005: chpt. 7), Gregory Bro ...

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Gottfried Leibniz, Gottfried Leibniz - Life, Gottfried Leibniz - Coming of age, Gottfried Leibniz - Career, Gottfried Leibniz - Writings, Gottfried Leibniz - Posthumous reputation, Gottfried Leibniz - Philosopher, Gottfried Leibniz - The Principles, Gottfried Leibniz - The Monads, Gottfried Leibniz - Theodicy and optimism, Gottfried Leibniz - Symbolic thought, Gottfried Leibniz - Formal logic, Gottfried Leibniz - Mathematician, Gottfried Leibniz - The calculus, Gottfried Leibniz - Topology, Gottfried Leibniz - Scientist and engineer, Gottfried Leibniz - Physics, Gottfried Leibniz - Other natural science, Gottfried Leibniz - Social science, Gottfried Leibniz - Technology, Gottfried Leibniz - The librarian, Gottfried Leibniz - Advocate of scientific societies, Gottfried Leibniz - Lawyer Moralist Theologian, Gottfried Leibniz - Ecumenism, Gottfried Leibniz - Philologist, Gottfried Leibniz - Sinophile, Gottfried Leibniz - Universal Genius, Gottfried Leibniz - Works, Gottfried Leibniz - Secondary literature, Gottfried Leibniz - Other works cited, Gottfried Leibniz - Quotes

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AG = Ariew & Garber (1989). LL = Loemker (1969). W = Wiener (1951). Woolhouse and Francks (1998) = WF. The ongoing critical edition of all of Leibniz's writings is Sämtliche Schriften und Briefe. Selected works; major ones in bold. The year shown is usually the year in which the work was completed, not of its eventual publication. 1666. De Arte Combinatoria (On the Art of Combination). Partially translated in LL §1 and Parkinson (1966). 1671. Hypothesis Physica Nova (New Physical ...

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Gottfried Leibniz, Gottfried Leibniz - Life, Gottfried Leibniz - Coming of age, Gottfried Leibniz - Career, Gottfried Leibniz - Writings, Gottfried Leibniz - Posthumous reputation, Gottfried Leibniz - Philosopher, Gottfried Leibniz - The Principles, Gottfried Leibniz - The Monads, Gottfried Leibniz - Theodicy and optimism, Gottfried Leibniz - Symbolic thought, Gottfried Leibniz - Formal logic, Gottfried Leibniz - Mathematician, Gottfried Leibniz - The calculus, Gottfried Leibniz - Topology, Gottfried Leibniz - Scientist and engineer, Gottfried Leibniz - Physics, Gottfried Leibniz - Other natural science, Gottfried Leibniz - Social science, Gottfried Leibniz - Technology, Gottfried Leibniz - The librarian, Gottfried Leibniz - Advocate of scientific societies, Gottfried Leibniz - Lawyer Moralist Theologian, Gottfried Leibniz - Ecumenism, Gottfried Leibniz - Philologist, Gottfried Leibniz - Sinophile, Gottfried Leibniz - Universal Genius, Gottfried Leibniz - Works, Gottfried Leibniz - Secondary literature, Gottfried Leibniz - Other works cited, Gottfried Leibniz - Quotes

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The following episode from the life of Leibniz illustrates the breadth of his genius, and the difficulties awaiting those who try to come to terms with it. While making his grand tour of European archives to research the Brunswick family history he never completed, Leibniz stopped in Wien, May 1688 – February 1689, where he did much legal and diplomatic work for the Brunswicks. He visited mines, talked with mine engineers, and tried to negotiate export contracts for lead from the ducal mines in the Harz mountains. His proposal that the str ...

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Gottfried Leibniz, Gottfried Leibniz - Life, Gottfried Leibniz - Coming of age, Gottfried Leibniz - Career, Gottfried Leibniz - Writings, Gottfried Leibniz - Posthumous reputation, Gottfried Leibniz - Philosopher, Gottfried Leibniz - The Principles, Gottfried Leibniz - The Monads, Gottfried Leibniz - Theodicy and optimism, Gottfried Leibniz - Symbolic thought, Gottfried Leibniz - Formal logic, Gottfried Leibniz - Mathematician, Gottfried Leibniz - The calculus, Gottfried Leibniz - Topology, Gottfried Leibniz - Scientist and engineer, Gottfried Leibniz - Physics, Gottfried Leibniz - Other natural science, Gottfried Leibniz - Social science, Gottfried Leibniz - Technology, Gottfried Leibniz - The librarian, Gottfried Leibniz - Advocate of scientific societies, Gottfried Leibniz - Lawyer Moralist Theologian, Gottfried Leibniz - Ecumenism, Gottfried Leibniz - Philologist, Gottfried Leibniz - Sinophile, Gottfried Leibniz - Universal Genius, Gottfried Leibniz - Works, Gottfried Leibniz - Secondary literature, Gottfried Leibniz - Other works cited, Gottfried Leibniz - Quotes

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Leibniz was perhaps the first major European intellect to take a close interest in Chinese civilization, which he knew by corresponding with, and reading other work by, European Christian missionaries posted in China. He concluded that Europeans could learn much from the Confucian ethical tradition. He mulled over the possibility that the Chinese characters were an unwitting form of his universal characteristic. He noted with fascination how the I Ching hexagrams correspond to the binary numbers from 0 to 111111, and mistakenly concluded that this mapping was evidence of major Chinese accomplishments in th ...

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Gottfried Leibniz, Gottfried Leibniz - Life, Gottfried Leibniz - Coming of age, Gottfried Leibniz - Career, Gottfried Leibniz - Writings, Gottfried Leibniz - Posthumous reputation, Gottfried Leibniz - Philosopher, Gottfried Leibniz - The Principles, Gottfried Leibniz - The Monads, Gottfried Leibniz - Theodicy and optimism, Gottfried Leibniz - Symbolic thought, Gottfried Leibniz - Formal logic, Gottfried Leibniz - Mathematician, Gottfried Leibniz - The calculus, Gottfried Leibniz - Topology, Gottfried Leibniz - Scientist and engineer, Gottfried Leibniz - Physics, Gottfried Leibniz - Other natural science, Gottfried Leibniz - Social science, Gottfried Leibniz - Technology, Gottfried Leibniz - The librarian, Gottfried Leibniz - Advocate of scientific societies, Gottfried Leibniz - Lawyer Moralist Theologian, Gottfried Leibniz - Ecumenism, Gottfried Leibniz - Philologist, Gottfried Leibniz - Sinophile, Gottfried Leibniz - Universal Genius, Gottfried Leibniz - Works, Gottfried Leibniz - Secondary literature, Gottfried Leibniz - Other works cited, Gottfried Leibniz - Quotes

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Charles Peirce - Primary literature. Abbreviations for frequently cited works: CE n, m = Writings of Charles S. Peirce: A Chronological Edition, vol. n, page m. CP n.m = Collected Papers of Charles Sanders Peirce, vol. n, paragraph m. EP n, m = The Essential Peirce: Selected Philosophical Writings, vol. n, page m. NEM n, m = The New Elements of Mathematics by Charles S. Peirce, vol. n, page m. SS m = Semiotic and Significs: the Correspondence between C.S. Pei ...

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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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