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Bertrand and Russell's
According to Bertrand Russell's Theory of Descriptions, the negation operator in a singular sentence can take either wide or narrow scope: we distinguish between " some S is not P " ( where negation takes " narrow scope ") and " it is not the case that ' some S is P '" ( where negation takes " wide scope ").
Bertrand Russell's popular book The Problems of Philosophy highlights Berkeley's tautological premise for advancing idealism ;
Gödel then studied number theory, but when he took part in a seminar run by Moritz Schlick which studied Bertrand Russell's book Introduction to Mathematical Philosophy, he became interested in mathematical logic.
* Bertrand Russell's views on philosophy
* Bertrand Russell's views on society
The Tractatus, as Bertrand Russell saw it ( though it should be noted that Wittgenstein took strong exception to Russell's reading ), had been an attempt to set out a logically perfect language, building on Russell's own work.
Bertrand Russell is credited with noticing the existence of such paradoxes even in the best symbolic formalizations of mathematics in his day, in particular the paradox that came to be named after him, Russell's paradox.
Bertrand Russell's article " The Philosophy of Logical Atomism " is presented as a working out of ideas that he had learnt from Wittgenstein.
Bertrand Russell invented the first type theory in response to his discovery that Gottlob Frege's version of naive set theory was afflicted with Russell's paradox.
In the foundations of mathematics, Russell's paradox ( also known as Russell's antinomy ), discovered by Bertrand Russell in 1901, showed that the naive set theory created by Georg Cantor leads to a contradiction.
A famous example of conceptual analysis at its best is Bertrand Russell's theory of descriptions.
The analysis of logical concepts and the machinery of formalization that is essential to Principia Mathematica ( 3 vols., 1910 – 1913 ) ( by Bertrand Russell, 1872 – 1970, and Alfred North Whitehead, 1861 – 1947 ), to Russell's theory of descriptions, to Kurt Gödel's ( 1906 – 1978 ) incompleteness theorems, and to Alfred Tarski's ( 1901 – 1983 ) theory of truth, is ultimately due to Frege.
Lord Russell's grandson, Bertrand Russell, spent some of his childhood there also.
In Bertrand Russell's A Free Man's Worship ( 1903 ), Moloch is used to describe a particularly savage brand of religion:
In The Continuum Weyl developed the logic of predicative analysis using the lower levels of Bertrand Russell's ramified theory of types.
* Russell's teapot, a skeptic analogy refuting the unfalsifiability of religious claims devised by Bertrand Russell.
The following quote from Bertrand Russell's " Theory of Knowledge " illustrates the difficulty in defining knowledge: " The question how knowledge should be defined is perhaps the most important and difficult of the three with which we shall deal.
* On Denoting, which outlined Bertrand Russell's Philosophy of Language
The Grelling – Nelson paradox can be translated into Bertrand Russell's famous paradox in the following way.
Perhaps the best-known objection to a coherence theory of truth is Bertrand Russell's.
He served as Bertrand Russell's interpreter when the renowned British philosopher visited China in 1920.
This view contrasts for example with late Bertrand Russell's description theory of proper names as well as John Searle's cluster description theory of names which prevailed at the time.
Historically, Meinong has been treated, especially by Gilbert Ryle, as an eccentric whose theory of objects was dealt a death blow in Bertrand Russell's famous essay " On Denoting ".

Bertrand and theory
Gottlob Frege did explicitly axiomatize a theory in which the formalized version of naive set theory can be interpreted, and it is this formal theory which Bertrand Russell actually addressed when he presented his paradox.
One of the most significant logicians of all time, Gödel made an immense impact upon scientific and philosophical thinking in the 20th century, a time when many, such as Bertrand Russell, A. N. Whitehead and David Hilbert, were pioneering the use of logic and set theory to understand the foundations of mathematics.
Some writers ( including Bertrand Russell and Karl Marx ) think the labor theory of value can be traced back to him.
Alfred North Whitehead and Bertrand Russell attempted to complete, or at least greatly facilitate, this program with their seminal book Principia Mathematica, which purported to build a logically consistent set theory on which to found mathematics.
Bertrand Russell offered what is known as the " at-at theory of motion ".
** Bertrand Russell ( 1908a ) Mathematical logic as based on the theory of types, with commentary by Willard Quine, pages 150-182.
* 1884 – Marcel Alexandre Bertrand, Nappe and Thrust fault theory
According to Allende, Einstein had solved the theory, but had suppressed it, since mankind was not ready for it — a confession that the scientist allegedly shared with the mathematician and philosopher Bertrand Russell.
Moore bases his theory on Carl Allen's letter to Jessup, in which Allen refers to a conversation between Einstein and Bertrand Russell acknowledging that the theory had been solved, but that man was not ready for it.
Kinked demand potentially fosters supra-competitive prices because any one firm would receive a reduced benefit from cutting price, as opposed to the benefits accruing under neoclassical theory and certain game theoretic models such as Bertrand competition.
Bertrand Russell and Alfred North Whitehead championed this theory fathered by Gottlob Frege.
Although the formalisation of logic was much advanced by the work of such figures as Gottlob Frege, Giuseppe Peano, Bertrand Russell, and Richard Dedekind, the story of modern proof theory is often seen as being established by David Hilbert, who initiated what is called Hilbert's program in the foundations of mathematics.
: brought up an Evangelical Christian, read his way into Tolstoyan simplicity, experienced a revelatory vision in the mountains of Tibet, toyed with telepathy in Kashmir, proposed a new faith based on virile racial theory, then transformed it into what Bertrand Russell called ' a religion of atheism.
In their book Principia Mathematica, Alfred North Whitehead and Bertrand Russell attempted to show that all mathematical theory could be reduced to some collection of axioms.

Bertrand and descriptions
The theory of descriptions is the philosopher Bertrand Russell's most significant contribution to the philosophy of language.

Bertrand and was
He was then taken to Europe and his brother Bertrand gave him the county of Rouergue.
Bertrand Andrieu ( November 4, 1761 – December 10, 1822 ) was a French engraver of medals from Bordeaux.
In 1958 he was, along with Bertrand Russell, one of a group of notables to establish the Homosexual Law Reform Society.
Bertrand Russell ( 1959 ) wrote, " Beyond doubt [...] he was one of the most original minds of the later nineteenth century, and certainly the greatest American thinker ever.
Collins was chosen as its Chairman, Bertrand Russell as its President and Peggy Duff as its organising secretary.
" Nevertheless, the bill was withdrawn in January 2007 at the request of Minister of Health Xavier Bertrand.
According to the direct-reference view, an early version of which was originally proposed by Bertrand Russell, and perhaps earlier by Gottlob Frege, a proper name strictly has no meaning when there is no object to which it refers.
Eiffel was originally developed by Eiffel Software, a company founded by Bertrand Meyer.
He was, with Bertrand Russell, Ludwig Wittgenstein, and ( before them ) Gottlob Frege, one of the founders of the analytic tradition in philosophy.
The papacy was moved to Avignon and all the contemporary popes were French, such as Philip IV's puppet Bertrand de Goth, Pope Clement V.
In early theories of logical atomism, the formal relationship between facts and true propositions was theorized by Bertrand Russell and Ludwig Wittgenstein to be isomorphic.
During the late 1920s, ' 30s, and ' 40s, Bertrand Russell and Ludwig Wittgenstein's formalism was developed by a group of philosophers in Vienna and Berlin, who formed the Vienna Circle and Berlin Circle into a doctrine known as logical positivism ( or logical empiricism ).
Prior to his death, Mahfouz was the oldest living Nobel Literature laureate and the third oldest of all time, trailing only Bertrand Russell and Halldor Laxness.
Pope Clement V, born Raymond Bertrand de Got ( also occasionally spelled de Guoth and de Goth ) ( c. 1264 – 20 April 1314 ) was Pope from 1305 to his death.
Born in Villandraut, Aquitaine, Bertrand was canon and sacristan of the Cathedral of Saint-André in Bordeaux, then vicar-general to his brother, the Archbishop of Lyon, who in 1294 was created Cardinal-Bishop of Albano.
Bertrand was elected Pope Clement V in June 1305 and consecrated on 14 November.
Bertrand was neither Italian nor a cardinal, and his election might have been considered a gesture towards neutrality.
At Bordeaux, Bertrand was formally notified of his election and urged to come to Italy, but he selected Lyon for his coronation on 14 November 1305, which was celebrated with magnificence and attended by Philip IV.
Researchers Marianne Bertrand and Sendhil Mullainathan, at the University of Chicago and MIT found in a 2004 study that there was widespread discrimination in the workplace against job applicants whose names were merely perceived as “ sounding black ”.
The island of Carabane, acquired by France in 1836, was profoundly transformed between 1849 and 1857 by the resident Emmanuel Bertrand Bocandé, Nantes businessman.
; Standards bloat: Bertrand Meyer, in a satirical essay framed as a student's request for a grade change, apparently criticized UML as of 1997 for being unrelated to object-oriented software development ; a disclaimer was added later pointing out that his company nevertheless supports UML.
Z was originally proposed by Abrial in 1977 with the help of Steve Schuman and Bertrand Meyer.
The complete uncut French version was performed first at the Hamburg State Opera in 2001, then and as filmed for DVD at the Staatsoper in Vienna ( 2004 ) and at the Liceu, Barcelona ( 2006 ); its conductor in Vienna was Bertrand de Billy.

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