Bertrand Russell's Views On Philosophy
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Bertrand Russell's Views On Philosophy
The aspects of Bertrand Russell's views on philosophy cover the changing viewpoints of philosopher and mathematician Bertrand Russell (1872–1970), from his early writings in 1896 until his death in February 1970. Philosophical work Russell is generally credited with being one of the founders of analytic philosophy, and he also produced a body of work that covers logic, the philosophy of mathematics, metaphysics, ethics and epistemology. Analytic philosophy Bertrand Russell helped to develop what is now called " Analytic Philosophy." Alongside G. E. Moore, Russell was shown to be partly responsible for the British revolt against idealism, a philosophy greatly influenced by G. W. F. 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 critical of a doctrine he ascribed to idealism and coherentism, which he dubbed the doctrine of internal relations; this, ...
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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 idealism". Together with his former teacher A. N. Whitehead, Russell wrote ''Principia Mathematica'', a milestone in the development of classical logic, and a major attempt to reduce the whole ...
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Space-time
In physics, spacetime is a mathematical model that combines the three-dimensional space, three dimensions of space and one dimension of time into a single four-dimensional manifold. Minkowski diagram, Spacetime diagrams can be used to visualize Special relativity, relativistic effects, such as why different observers perceive differently where and when events occur. Until the 20th century, it was assumed that the three-dimensional geometry of the universe (its spatial expression in terms of coordinates, distances, and directions) was independent of one-dimensional time. The physicist Albert Einstein helped develop the idea of spacetime as part of his theory of relativity. Prior to his pioneering work, scientists had two separate theories to explain physical phenomena: Isaac Newton's laws of physics described the motion of massive objects, while James Clerk Maxwell's electromagnetic models explained the properties of light. However, in 1905, Einstein based wikisource:Translation:On ...
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Axioms
An axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. The word comes from the Ancient Greek word (), meaning 'that which is thought worthy or fit' or 'that which commends itself as evident'. The term has subtle differences in definition when used in the context of different fields of study. As defined in classic philosophy, an axiom is a statement that is so evident or well-established, that it is accepted without controversy or question. As used in modern logic, an axiom is a premise or starting point for reasoning. As used in mathematics, the term ''axiom'' is used in two related but distinguishable senses: "logical axioms" and "non-logical axioms". Logical axioms are usually statements that are taken to be true within the system of logic they define and are often shown in symbolic form (e.g., (''A'' and ''B'') implies ''A''), while non-logical axioms (e.g., ) are actually ...
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Giuseppe Peano
Giuseppe Peano (; ; 27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist. The author of over 200 books and papers, he was a founder of mathematical logic and set theory, to which he contributed much notation. The standard axiomatization of the natural numbers is named the Peano axioms in his honor. As part of this effort, he made key contributions to the modern rigorous and systematic treatment of the method of mathematical induction. He spent most of his career teaching mathematics at the University of Turin. He also wrote an international auxiliary language, Latino sine flexione ("Latin without inflections"), which is a simplified version of Classical Latin. Most of his books and papers are in Latino sine flexione, others are in Italian. Biography Peano was born and raised on a farm at Spinetta, a hamlet now belonging to Cuneo, Piedmont, Italy. He attended the Liceo classico Cavour in Turin, and enrolled at the University of Turin in 1876, graduatin ...
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International Congress Of Philosophy
The World Congress of Philosophy (originally known as the International Congress of Philosophy) is a global meeting of philosophers held every five years under the auspices of the International Federation of Philosophical Societies (FISP). First organized in 1900, these events became firmly established after the Second World War. Each World Congress is sponsored by one of the member societies in a different country, which assumes responsibility for the organization of that Congress. The purpose of these events is to contribute to the development of professional relations between philosophers of all countries, promote philosophical education, and contribute to the impact of philosophical knowledge on global problems. The 24th World Congress of Philosophy was held in Beijing in August 2018. The 25th World Congress of Philosophy will take place in Rome in 2024. List of congresses Overview The first International Congress of Philosophy was held in Paris in 1900 on the occasion of the ...
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Irving H
Irving may refer to: People *Irving (name), including a list of people with the name Fictional characters * Irving, the main character's love interest in Cathy (comic strip) * Lloyd Irving, the main protagonist in the ''Tales of Symphonia'' video game Places Canada * Irving Nature Park, a park in Saint John, N.B. United States *Irving, California, former name of Irvington, California *Irving, Illinois *Irving, Iowa *Irving (Duluth), Minnesota *Irving, New York *Irving, Texas *Irving, Wisconsin, a town **Irving (community), Wisconsin, an unincorporated community *Irving Park, Chicago, Illinois * Irving Township, Montgomery County, Illinois * Irving Township, Michigan * Irving Township, Minnesota * Lake Irving, a lake in Minnesota Companies * Irving Group of Companies, Canadian conglomerate based in Saint John, New Brunswick, controlled by the Irving family, including: ** J. D. Irving, a conglomerate with holdings in forestry, pulp and paper, tissue, newsprint, building suppl ...
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Ernst Schröder (mathematician)
Friedrich Wilhelm Karl Ernst Schröder (25 November 1841 in Mannheim, Baden, Germany – 16 June 1902 in Karlsruhe, Germany) was a German mathematician mainly known for his work on algebraic logic. He is a major figure in the history of mathematical logic, by virtue of summarizing and extending the work of George Boole, Augustus De Morgan, Hugh MacColl, and especially Charles Peirce. He is best known for his monumental ''Vorlesungen über die Algebra der Logik'' (''Lectures on the Algebra of Logic'', 1890–1905), in three volumes, which prepared the way for the emergence of mathematical logic as a separate discipline in the twentieth century by systematizing the various systems of formal logic of the day. Life Schröder learned mathematics at Heidelberg, Königsberg, and Zürich, under Otto Hesse, Gustav Kirchhoff, and Franz Neumann. After teaching school for a few years, he moved to the Technische Hochschule Darmstadt in 1874. Two years later, he took up a chair in math ...
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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 logic gate, 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 W ...
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Algebraic Logic
In mathematical logic, algebraic logic is the reasoning obtained by manipulating equations with free variables. What is now usually called classical algebraic logic focuses on the identification and algebraic description of models appropriate for the study of various logics (in the form of classes of algebras that constitute the algebraic semantics for these deductive systems) and connected problems like representation and duality. Well known results like the representation theorem for Boolean algebras and Stone duality fall under the umbrella of classical algebraic logic . Works in the more recent abstract algebraic logic (AAL) focus on the process of algebraization itself, like classifying various forms of algebraizability using the Leibniz operator . Calculus of relations A homogeneous binary relation is found in the power set of ''X'' × ''X'' for some set ''X'', while a heterogeneous relation is found in the power set of ''X'' × ''Y'', where ''X'' ≠ ''Y''. Whether a g ...
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McMaster University
McMaster University (McMaster or Mac) is a public research university in Hamilton, Ontario, Canada. The main McMaster campus is on of land near the residential neighbourhoods of Ainslie Wood and Westdale, adjacent to the Royal Botanical Gardens. It operates six academic faculties: the DeGroote School of Business, Engineering, Health Sciences, Humanities, Social Science, and Science. It is a member of the U15, a group of research-intensive universities in Canada. The university bears the name of William McMaster, a prominent Canadian senator and banker who bequeathed C$900,000 to its founding. It was incorporated under the terms of an act of the Legislative Assembly of Ontario in 1887, merging the Toronto Baptist College with Woodstock College. It opened in Toronto in 1890. Inadequate facilities and the gift of land in Hamilton prompted its relocation in 1930. The Baptist Convention of Ontario and Quebec controlled the university until it became a privately chartered, pu ...
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Georg Cantor
Georg Ferdinand Ludwig Philipp Cantor ( , ;  – January 6, 1918) was a German mathematician. He played a pivotal role in the creation of set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between the members of two sets, defined infinite and well-ordered sets, and proved that the real numbers are more numerous than the natural numbers. In fact, Cantor's method of proof of this theorem implies the existence of an infinity of infinities. He defined the cardinal and ordinal numbers and their arithmetic. Cantor's work is of great philosophical interest, a fact he was well aware of. Originally, Cantor's theory of transfinite numbers was regarded as counter-intuitive – even shocking. This caused it to encounter resistance from mathematical contemporaries such as Leopold Kronecker and Henri Poincaré and later from Hermann Weyl and L. E. J. Brouwer, while Ludwig Wittgenstein raised ...
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