(H/B) THE MATHEMATICS OF PLATO'S ACADEMY

Παρουσίαση

The changes in this second edition are the inclusion of a substantial Appendix, Chapter 10, the rewriting of much of Chapter 5, the inclusion of three new Plates, a significantly expanded Bibliography, and many smaller additions, modifications, and corrections. Also the Addenda at the end of the chapters of the paperback edition have been incorporated into the text. The original Preface, below, explained how the book can be read starting with any of its three Parts; I now take this further and recommend any reader new to the book to start with the first section of the new Appendix, which forms an introduction to a substantial and important part of the book and makes explicit some of the unspoken attitudes that underlie its treatment. I have adopted this arrangement in order to maintain the overall structure of the book and because, as I explain there, that section approaches the subject differently from the main text. Thereafter the new Appendix material is more in the nature of amplifications and extensions taking the argument further, and references to it have been inserted into the main text where appropriate. Its final section is a slightly revised version of the original Epilogue, and a new, brief, autobiographical Epilogue has been added to round off the book. (...) (from the publisher)

Περιεχόμενα

List of plates
Note on the transcriptions of papyri
PART ONE: INTERPRETATIONS
1. THE PROPOSAL
2. ANTHYPAIRETIC RATIO THEORY
3. ELEMENTS II: THE DIMENSION OF SQUARES
4. PLATO'S MATHEMATICS CURRICULUM IN REPUBLIC II
5. ELEMENTS IV, X, AND XIII: THE CIRCUMDIAMETER AND SIDE
PART TWO: EVIDENCE
6. THE NATURE OF OUR EVIDENCE
7. NUMBERS AND FRACTIONS
PART THREE: LATER DEVELOPMENTS
8. LATER INTERPRETATIONS
9. CONTINUED FRACTIONS
10. APPENDIX: NEW MATERIAL ADDED TO THE SECOND EDITION
11. EPILOGUE: A BRIEF INTELLECTUAL AYTOBIOGRAPHY