New York: Harper Torchbooks, 1962. — 199 p.
This volume is a thorough introduction to main currents in Philosophy of Mathematics, as they inter-played by the middle of the 20th century. The exposition spreads the pros and cons of each philosophical school on mathematical knowledge. The analysis encompasses both conceptual frameworks and formal examples; complex mathematical dialect is applied with parsimony, without compromising clarity. The book is a good introduction but never a 101 text. It requires some acquaintance and previous maturity for a reader's catching of the core views discussed.
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Front Page
Copyright
Motto
Some Older Views
Mathematics as Logic: Exposition
Mathematics as logic: Criticism
Mathematics as the Science of Formal Systems: Exposition
Mathematics as the Science of Formal Systems: Criticism
Mathematics as the Activity of Intuitve Constructions: Exposition
Mathematics as the Activity of Intuitve Constructions: Criticism
The Nature of Pure and Applied Mathematics
On the Classical Theory of Real Numbers
Some Suggestions for Further Reading
Publisher's Back Cover