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Introduction to Mathematical Philosophy de Bertrand Russell

Introduction to Mathematical Philosophy

Autor Bertrand Russell
en Limba Engleză Paperback – 31 aug 1993

In the words of Bertrand Russell, "Because language is misleading, as well as because it is diffuse and inexact when applied to logic (for which it was never intended), logical symbolism is absolutely necessary to any exact or thorough treatment of mathematical philosophy." That assertion underlies this book, a seminal work in the field for more than 70 years. In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy.
In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought."

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Specificații

ISBN-13: 9780486277240
ISBN-10: 0486277240
Pagini: 224
Dimensiuni: 138 x 215 x 12 mm
Greutate: 0.23 kg
Editura: Dover Publications

Descriere

Work focuses on concepts of number, order, relations, limits and continuity, propositional functions, descriptions and classes, more.

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"