ISBN: 0486277240
Godina izdanja: 1993
Jezik: Engleski
Autor: Strani

Bertrand Russell - Introduction to Mathematical Philosophy
Dover Publications, 1993
208 str.
meki povez
stanje: dobro, beleške.

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.

Preface
Editor`s Note
I. The Series of Natural Numbers
II. Definition of Number
III. Finitude and Mathematical Induction
IV. The Definition of Order
V. Kinds of Relations
VI. Similarity of Relations
VII. Rational, Real, and Complex Numbers
VIII. Infinite Cardinal Numbers
IX. Infinite Series and Ordinals
X. Limits and Continuity
XI. Limits and Continuity of Functions
XII. Selections and the Multiplicative Axiom
XIII. The Axiom of Infinity and Logical Types
XIV. Incompatibility and the Theory of Deduction
XV. Propositional Functions
XVI. Descriptions
XVII. Classes
XVIII. Mathematics and Logic
Index


Nonfiction, Philosophy, 0486277240, Bertrand Rasl, Bertrand Rasel