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Bertrand Arthur William Russell, 3rd Earl Russell, OM, FRS [7] (18 May 1872 – 2 February 1970) was a British philosopher, logician, mathematician, and public intellectual. He had influence on mathematics , logic , set theory , and various areas of analytic philosophy .
Introduction to Mathematical Philosophy is a book (1919 first edition) by philosopher Bertrand Russell, in which the author seeks to create an accessible introduction to various topics within the foundations of mathematics.
The Principia Mathematica (often abbreviated PM) is a three-volume work on the foundations of mathematics written by the mathematician–philosophers Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1913.
In 1938 the book was re-issued with a new preface by Russell. This preface was interpreted as a retreat from the realism of the first edition and a turn toward nominalist philosophy of symbolic logic. James Feibleman, an admirer of the book, thought Russell's new preface went too far into nominalism so he wrote a rebuttal to this introduction. [7]
As Nicholas Griffin points out in the introduction to The Cambridge Companion to Bertrand Russell, Russell had a major influence on modern philosophy, especially in the English-speaking world. While others were also influential, notably Frege , Moore , and Wittgenstein , Russell made analysis the dominant methodology of professional philosophy.
History of Western Philosophy [a] is a 1946 book by British philosopher Bertrand Russell (1872–1970). A survey of Western philosophy from the pre-Socratic philosophers to the early 20th century, each major division of the book is prefaced by an account of the historical background necessary to understand the currents of thought it describes. [1]
In mathematical logic, Russell's paradox (also known as Russell's antinomy) is a set-theoretic paradox published by the British philosopher and mathematician, Bertrand Russell, in 1901. [ 1 ] [ 2 ] Russell's paradox shows that every set theory that contains an unrestricted comprehension principle leads to contradictions. [ 3 ]
Russell gives an account of his philosophical development. He describes his Hegelian period and includes hitherto unpublished notes for a Hegelian philosophy of science. He deals next with the two-fold revolution involved with his abandonment of idealism and adoption of a mathematical logic founded upon that of Giuseppe Peano.