Introduction to Mathematical Philosophy

Front Cover
Courier Corporation, 1993 - Mathematics - 208 pages
9 Reviews

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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Review: Introduction to Mathematical Philosophy

User Review  - mm - Goodreads

I was under the impression that this would be light reading... It is presented clearly, but Russell primarily uses analogy to describe some very ambitious ideas that could benefit from a diagram or two. This didn't scare me off. I'll have to take a look at Principia Mathematica. Read full review

Review: Introduction to Mathematical Philosophy

User Review  - Tom Bisbee - Goodreads

Stupid to read for the math, worth reading for the logic. Read full review

Contents

KINDS OF RELATIONS
42
INFINITE CARDINAL NUMBERS
63
LIMITS AND CONTINUITY OF FUNCTIONS
107
SELECTIONS AND THE MULTIPLICATIVE AXIOM
123
THE AXIOM OF INFINITY AND LOGICAL TYPES
145
PROPOSITIONAL FUNCTIONS
152
DESCRIPTIONS
167
CLASSES
181
MATHEMATICS AND LOGIC
194
INDEX
207
Copyright

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About the author (1993)

Bertrand Arthur William Russell (1872-1970) was a British philosopher, logician, essayist and social critic. He was best known for his work in mathematical logic and analytic philosophy. Together with G.E. Moore, Russell is generally recognized as one of the main founders of modern analytic philosophy. Together with Kurt Gödel, he is regularly credited with being one of the most important logicians of the twentieth century. Over the course of a long career, Russell also made contributions to a broad range of subjects, including the history of ideas, ethics, political and educational theory, and religious studies. General readers have benefited from his many popular writings on a wide variety of topics. After a life marked by controversy--including dismissals from both Trinity College, Cambridge, and City College, New York--Russell was awarded the Order of Merit in 1949 and the Nobel Prize for Literature in 1950. Noted also for his many spirited anti-nuclear protests and for his campaign against western involvement in the Vietnam War, Russell remained a prominent public figure until his death at the age of 97.

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