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Introduction to Mathematical Philosophy: An Essay on the Meaning of the Comic de Bertrand Russell

Introduction to Mathematical Philosophy: An Essay on the Meaning of the Comic

Autor Bertrand Russell
en Limba Engleză Paperback – 31 dec 2009
As a mathematician, philosopher, logician, historian, socialist, pacifist and social critic, Bertrand Russell is noted for his "revolt against idealism" in Britain in the early 20th century, as well as his pacifist activism during WWI, a campaign against Adolf Hitler and later the United States' involvement in the Vietnam War. In addition to his political activism, he is considered to be one of the founders of analytic philosophy, receiving the Nobel Prize in Literature in 1950 for his various humanitarian and philosophical works. He wrote his "Introduction to Mathematical Philosophy" (1919) in order to elucidate in a less technical way the main ideas of his and N.A. Whitehead's earlier "Principia Mathematica". The work focuses on mathematical logic as related to traditional and contemporary philosophy, of which Russell remarks, "logic is the youth of mathematics and mathematics is the manhood of logic." It is regarded today as a lucid, accessible exploration of the gray area where mathematics and philosophy meet.
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Specificații

ISBN-13: 9781420938401
ISBN-10: 1420938401
Pagini: 116
Dimensiuni: 152 x 229 x 7 mm
Greutate: 0.18 kg
Editura: Digireads.com

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"