# Mathematics-- the music of reason

@inproceedings{Dieudonne1992MathematicsTM, title={Mathematics-- the music of reason}, author={J. Dieudonne}, year={1992} }

Introduction.- Mathematics and Mathematicians.- The Nature of Mathematical Problems.- Objects and Methods in Classical Mathematics.- Appendix.- Some Problems of Classical Mathematics.- Appendix.- New Objects and New Methods.- Appendix.- Problems and Pseudo-Problems about "Foundations".-Appendix.- Index.

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#### References

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A Irrational Numbers 213 B. Monsters 215 C. The Axiomatization of Arithmetic 216 3. Infinite Sets 218

- A Irrational Numbers 213 B. Monsters 215 C. The Axiomatization of Arithmetic 216 3. Infinite Sets 218

B. Geometry on a Surface

- B. Geometry on a Surface

C. Models of Non-Euclidean Geometry

- C. Models of Non-Euclidean Geometry

Infinite Sets and Natural Numbers 218 B. The Comparison of Infinite Sets

- Infinite Sets and Natural Numbers 218 B. The Comparison of Infinite Sets

Non-Euclidean Geometries 204 A. The Parallel Postulate 204

- Non-Euclidean Geometries 204 A. The Parallel Postulate 204

The Deepening of the Concept of Number 213

- The Deepening of the Concept of Number 213

VI Problems and Pseudo-Problems about

- Foundations"