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Cassius Jackson Keyser
Cassius Jackson Keyser (15 May 1862 – 8 May 1947) was an American mathematician of pronounced philosophical inclinations. Life Keyser's initial higher education was at North West Ohio Normal School (now Ohio Northern University), then became a school teacher and principal. In 1885, he married a fellow student at the Normal School, Ella Maud Crow of Ridgeway, Ohio. He completed a second undergraduate degree, a BSc, at the University of Missouri in 1892. After teaching there, at the New York State Normal School (now SUNY New Paltz), and at Washington University, he enrolled as a graduate student at Columbia University, earning the MA in 1896 and the PhD in 1901. He spent the rest of his career at Columbia, becoming the Adrain Professor of Mathematics (1904–27) and Head of the department (1910–16). He retired in 1927. Keyser was one of the first Americans to appreciate the new directions in the foundation of mathematics, heralded by the work of Europeans such as Richard Dedek ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rawson, Ohio
Rawson is a village in Hancock County, Ohio, United States. The population was 567 at the 2020 census. History Rawson was laid out in 1855 when the railroad was extended to that point. The village was named for L. Q. Rawson, the president of the Fremont and Indiana Railroad. Rawson was incorporated in 1884. In 1889 White Caps were active in Rawson, twice destroying a Rawson saloon. Geography Rawson is located at (40.956896, -83.784686). According to the United States Census Bureau, the village has a total area of , all land. Demographics 2010 census As of the census of 2010, there were 570 people, 191 households, and 152 families living in the village. The population density was . There were 209 housing units at an average density of . The racial makeup of the village was 95.6% White, 1.9% African American, 0.9% Asian, 0.2% from other races, and 1.4% from two or more races. Hispanic or Latino of any race were 1.9% of the population. There were 191 households, of which 45 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Foundation Of Mathematics
Foundations of mathematics is the study of the philosophical and logical and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics. In this latter sense, the distinction between foundations of mathematics and philosophy of mathematics turns out to be quite vague. Foundations of mathematics can be conceived as the study of the basic mathematical concepts (set, function, geometrical figure, number, etc.) and how they form hierarchies of more complex structures and concepts, especially the fundamentally important structures that form the language of mathematics (formulas, theories and their models giving a meaning to formulas, definitions, proofs, algorithms, etc.) also called metamathematical concepts, with an eye to the philosophical aspects and the unity of mathematics. The search for foundations of mathematics is a central question of the philosophy of mat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Dewey
John Dewey (; October 20, 1859 – June 1, 1952) was an American philosopher, psychologist, and educational reformer whose ideas have been influential in education and social reform. He was one of the most prominent American scholars in the first half of the twentieth century. The overriding theme of Dewey's works was his profound belief in democracy, be it in politics, education, or communication and journalism. As Dewey himself stated in 1888, while still at the University of Michigan, "Democracy and the one, ultimate, ethical ideal of humanity are to my mind synonymous." Dewey considered two fundamental elements—schools and civil society—to be major topics needing attention and reconstruction to encourage experimental intelligence and plurality. He asserted that complete democracy was to be obtained not just by extending voting rights but also by ensuring that there exists a fully formed public opinion, accomplished by communication among citizens, experts and politici ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
New International Encyclopedia
''The New International Encyclopedia'' was an American encyclopedia first published in 1902 by Dodd, Mead and Company. It descended from the ''International Cyclopaedia'' (1884) and was updated in 1906, 1914 and 1926. History ''The New International Encyclopedia'' was the successor of the ''International Cyclopaedia'' (1884). Initially, ''The International Cyclopaedia'' was largely a reprint of Alden's ''Library of Universal Knowledge'', which was a reprint of the British '' Chambers's Encyclopaedia''. The title was changed to ''The New International Encyclopedia'' in 1902, with editors Harry Thurston Peck, Daniel Coit Gilman, and Frank Moore Colby. The encyclopedia was popular and reprints were made in 1904, 1905, 1907 (corrected and expanded to 20 volumes), 1909 and 1911. The 2nd edition appeared from 1914 to 1917 in 24 volumes. With Peck and Gilman deceased, Colby was joined by a new editor, Talcott Williams. This edition was set up from new type and thoroughly revised. I ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hibbert Journal
''The Hibbert Journal'' was a large, quarterly magazine in softback book format, issued since 1902 by the Hibbert Trust, best described by its subtitle: ''A Quarterly Review of Religion, Theology and Philosophy''. In the early years it was published by Williams and Norgate, 14 Henrietta Street, London, with the U.S. Agent being Sherman, French & Co,. 6 Beacon Street, Boston, Mass. The subscription c. 1911 was "Ten Shillings per annum, post free." It ceased publication in 1968. Editorial Board and Key Persons associated with the Journal In its early years, ''The Hibbert Journal'' was edited by L. P. Jacks Lawrence Pearsall Jacks (9 October 1860 – 17 February 1955), abbreviated L. P. Jacks, was an English educator, philosopher, and Unitarianism, Unitarian minister who rose to prominence in the period from World War I to World War II. Early lif ....Josiah Royce, ''The Basic Writings of Josiah Royce: Logic, loyalty, and community'' Fordham University Press, 2005 , (p. 1218) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
General Semantics
General semantics is concerned with how events translate to perceptions, how they are further modified by the names and labels we apply to them, and how we might gain a measure of control over our own cognitive, emotional, and behavioral responses. Proponents characterize general semantics as an antidote to certain kinds of delusional thought patterns in which incomplete and possibly warped mental constructs are projected onto the world and treated as reality itself. After partial launches under the names ''human engineering'' and ''humanology'', Polish-American originator Alfred Korzybski (1879–1950) fully launched the program as ''general semantics'' in 1933 with the publication of ''Science and Sanity: An Introduction to Non-Aristotelian Systems and General Semantics''. In ''Science and Sanity'', general semantics is presented as both a theoretical and a practical system whose adoption can reliably alter human behavior in the direction of greater sanity. In the 1947 preface ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alfred Korzybski
Alfred Habdank Skarbek Korzybski (, ; July 3, 1879 – March 1, 1950) was a Polish-American independent scholar who developed a field called general semantics, which he viewed as both distinct from, and more encompassing than, the field of semantics. He argued that human knowledge of the world is limited both by the human nervous system and the languages humans have developed, and thus no one can have direct access to reality, given that the most we can know is that which is filtered through the brain's responses to reality. His best known dictum is "The map is not the territory". Early life and career Born in Warsaw, Vistula Country, which was then part of the Russian Empire, Korzybski belonged to an aristocratic Polish family whose members had worked as mathematicians, scientists, and engineers for generations. He learned the Polish language at home and the Russian language in schools, and having a French and German governess, he became fluent in four languages as a chi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Charles Sanders Peirce
Charles Sanders Peirce ( ; September 10, 1839 – April 19, 1914) was an American philosopher, logician, mathematician and scientist who is sometimes known as "the father of pragmatism". Educated as a chemist and employed as a scientist for thirty years, Peirce made major contributions to logic, a subject that, for him, encompassed much of what is now called epistemology and the philosophy of science. He saw logic as the formal branch of semiotics, of which he is a founder, which foreshadowed the debate among logical positivists and proponents of philosophy of language that dominated 20th-century Western philosophy. Additionally, he defined the concept of abductive reasoning, as well as rigorously formulated mathematical induction and deductive reasoning. As early as 1886, he saw that logical operations could be carried out by electrical switching circuits. The same idea was used decades later to produce digital computers. See Also In 1934, the philosopher Paul We ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bertrand Russell
Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British mathematician, philosopher, logician, and public intellectual. He had a considerable influence on mathematics, logic, set theory, linguistics, artificial intelligence, cognitive science, computer science and various areas of analytic philosophy, especially philosophy of mathematics, philosophy of language, epistemology, and metaphysics.Stanford Encyclopedia of Philosophy"Bertrand Russell" 1 May 2003. He was one of the early 20th century's most prominent logicians, and a founder of analytic philosophy, along with his predecessor Gottlob Frege, his friend and colleague G. E. Moore and his student and protégé Ludwig Wittgenstein. Russell with Moore led the British "revolt against British idealism, idealism". Together with his former teacher Alfred North Whitehead, A. N. Whitehead, Russell wrote ''Principia Mathematica'', a milestone in the development of classical logic, and a major ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ernst Zermelo
Ernst Friedrich Ferdinand Zermelo (, ; 27 July 187121 May 1953) was a German logician and mathematician, whose work has major implications for the foundations of mathematics. He is known for his role in developing Zermelo–Fraenkel axiomatic set theory and his proof of the well-ordering theorem. Furthermore, his 1929 work on ranking chess players is the first description of a model for pairwise comparison that continues to have a profound impact on various applied fields utilizing this method. Life Ernst Zermelo graduated from Berlin's Luisenstädtisches Gymnasium (now ) in 1889. He then studied mathematics, physics and philosophy at the University of Berlin, the University of Halle, and the University of Freiburg. He finished his doctorate in 1894 at the University of Berlin, awarded for a dissertation on the calculus of variations (''Untersuchungen zur Variationsrechnung''). Zermelo remained at the University of Berlin, where he was appointed assistant to Planck, under ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
David Hilbert
David Hilbert (; ; 23 January 1862 – 14 February 1943) was a German mathematician, one of the most influential mathematicians of the 19th and early 20th centuries. Hilbert discovered and developed a broad range of fundamental ideas in many areas, including invariant theory, the calculus of variations, commutative algebra, algebraic number theory, the foundations of geometry, spectral theory of operators and its application to integral equations, mathematical physics, and the foundations of mathematics (particularly proof theory). Hilbert adopted and defended Georg Cantor's set theory and transfinite numbers. In 1900, he presented a collection of problems that set the course for much of the mathematical research of the 20th century. Hilbert and his students contributed significantly to establishing rigor and developed important tools used in modern mathematical physics. Hilbert is known as one of the founders of proof theory and mathematical logic. Life Early li ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Henri Poincaré
Jules Henri Poincaré ( S: stress final syllable ; 29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science. He is often described as a polymath, and in mathematics as "The Last Universalist", since he excelled in all fields of the discipline as it existed during his lifetime. As a mathematician and physicist, he made many original fundamental contributions to pure and applied mathematics, mathematical physics, and celestial mechanics. In his research on the three-body problem, Poincaré became the first person to discover a chaotic deterministic system which laid the foundations of modern chaos theory. He is also considered to be one of the founders of the field of topology. Poincaré made clear the importance of paying attention to the invariance of laws of physics under different transformations, and was the first to present the Lorentz transformations in their modern symmetrical form. Poincaré disc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
