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MAA Reviews

Introduction to the Foundations of Mathematics

Raymond L. Wilder

Table of Contents

Part One: Fundamental Concepts and Methods of Mathematics
I. The Axiomatic Method
II. Analysis of the Axiomatic Method
III Theory of Sets
III Theory of Sets
IV. Infinite Sets
V. Well-Ordered Sets; Ordinal Numbers
VI. The Linear Continuum and the Real Number System
VII. Groups and Their Significance for the Foundations
Part Two: Development of Various Viewpoints on Foundations
VIII. The Early Developments
IX. The Frege-Russell Thesis: Mathematics an Extension of Logic
X. Intuitionism
XI. Formal Systems; Mathematical Logic
XII. The Cultural Setting of Mathematics
Bibliography
Index of Symbols
Index of Topics and Technical Terms
Index of Names

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