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Introduction to Mathematical Philosophy de Bertrand Russell

Introduction to Mathematical Philosophy

Autor Bertrand Russell
en Limba Engleză Paperback – 31 mar 2007
Not to be confused with the philosophy of mathematics, mathematical philosophy is the structured set of rules that govern all existence. Or, in a word: logic. While this branch of philosophy threatens to be an intimidating and abstract subject, it is one that is surprisingly simple and necessarily sensible, particularly at the pen of writer Bertrand Russell, who infuses this work, first published in 1919, with a palpable and genuine desire to assist the reader in understanding the principles he illustrates. Anyone interested in logic and its development and application here will find a comprehensive and accessible account of mathematical philosophy, from the idea of what numbers actually are, through the principles of order, limits, and deduction, and on to infinity.British philosopher and mathematician BERTRAND ARTHUR WILLIAM RUSSELL (1872-1970) won the Nobel Prize for Literature in 1950. Among his many works are Why I Am Not a Christian (1927), Power: A New Social Analysis (1938), and My Philosophical Development (1959).
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Specificații

ISBN-13: 9781602062917
ISBN-10: 1602062919
Pagini: 220
Dimensiuni: 140 x 216 x 13 mm
Greutate: 0.29 kg
Editura: COSIMO CLASSICS

Descriere

Descriere de la o altă ediție sau format:
First published in 1919, Introduction to Mathematical Philosophy shows Russell drawing on his formidable knowledge of philosophy and mathematics to write a brilliant introduction to the subject. This Routledge Classics edition includes a new Foreword by Michael Potter.

Cuprins

Foreword to the Routledge Classics Edition Michael Potter  Preface  1. The Series of Natural Numbers  2. Definition of Number  3. Finitude and Mathematical Induction  4. The Definition of Order  5. Kinds of Relations  6. Similarity of Relations  7. Rational, Real, and Complex Numbers  8. Infinite Cardinal Numbers  9. Infinite Series and Ordinals  10. Limits and Continuity  11. Limits and Continuity of Functions  12. Selections and the Multiplicative Axiom  13. The Axiom of Infinity and Logical Types  14. Incompatibility and the Theory of Deduction  15. Propositional Functions  16. Descriptions  17. Classes  18. Mathematics and Logic.  Index

Notă biografică

Bertrand Russell, (18 May 1872 - 2 February 1970) was a British philosopher, logician, mathematician, historian, writer, essayist, social critic, political activist, and Nobel laureate. At various points in his life, Russell considered himself a liberal, a socialist and a pacifist, although he also confessed that his sceptical nature had led him to feel that he had "never been any of these things, in any profound sense. Russell was born in Monmouthshire into one of the most prominent aristocratic families in the United Kingdom In the early 20th century, Russell led the British "revolt against idealism" He is considered one of the founders of analytic philosophy along with his predecessor Gottlob Frege, colleague G. E. Moore and protégé Ludwig Wittgenstein. He is widely held to be one of the 20th century's premier logicians.[67] With A. N. Whitehead he wrote Principia Mathematica, an attempt to create a logical basis for mathematics, the quintessential work of classical logic. His philosophical essay "On Denoting" has been considered a "paradigm of philosophy".[71] His work has had a considerable influence on mathematics, logic, set theory, linguistics, artificial intelligence, cognitive science, computer science (see type theory and type system) and philosophy, especially the philosophy of language, epistemology and metaphysics. Russell was a prominent anti-war activist and he championed anti-imperialism. Occasionally, he advocated preventive nuclear war, before the opportunity provided by the atomic monopoly had passed and he decided he would "welcome with enthusiasm" world government.[74] He went to prison for his pacifism during World War I. Later, Russell concluded that war against Adolf Hitler's Nazi Germany was a necessary "lesser of two evils" and criticised Stalinist totalitarianism, attacked the involvement of the United States in the Vietnam War and was an outspoken proponent of nuclear disarmament. In 1950, Russell was awarded the Nobel Prize in Literature "in recognition of his varied and significant writings in which he champions humanitarian ideals and freedom of thought"