Mathematical Thought

1. Front Matter

   Pages I-XII

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2. Introduction

   • Evert W. Beth

   Pages 1-5

3. Criticism of Mathematics as Based on Naive Intuition

   • Evert W. Beth

   Pages 6-22

4. The Foundations of Arithmetic

   • Evert W. Beth

   Pages 23-38

5. Symbolic Logic and Its Connections with Traditional Logic

   • Evert W. Beth

   Pages 39-68

6. Intuitionism and Formalism

   • Evert W. Beth

   Pages 69-101

7. The Paradoxes

   • Evert W. Beth

   Pages 102-115

8. Significs and Logic

   • Evert W. Beth

   Pages 116-123

9. Recent Developments

   • Evert W. Beth

   Pages 124-173

10. Concluding Remarks

    • Evert W. Beth

    Pages 174-192

11. Back Matter

    Pages 193-208

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In contributing a foreword to this book I am complying with a wish my husband expressed a few days before his death. He had completed the manuscript of this work, which may be considered a companion volume to his book Formal Methods. The task of seeing it through the press was undertaken by Mr. J. J. A. Mooij, acting director of the Institute for Research in Foundations and the Philosophy of Science (Instituut voor Grondslagenonderzoek en Filoso:fie der Exacte Wetenschappen) of the University of Amsterdam, with the help of Mrs. E. M. Barth, lecturer at the Institute. I wish to thank Mr. Mooij and Mrs. Barth most cordially for the care with which they have acquitted themselves of this delicate task and for the speed with which they have brought it to completion. I also wish to express my gratitude to Miss L. E. Minning, M. A. , for the helpful advice she has so kindly given to Mr. Mooij and Mrs. Barth during the proof reading. C. P. C. BETH-PASTOOR VII PREFACE A few years ago Mr. Horace S.

• The Philosophy of Mathematics
• arithmetic
• philosophy of mathematics

• Amsterdam/Maarn, The Netherlands

  Evert W. Beth

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