On the General Science of Mathematics is the third of four surviving works out of ten by Iamblichus (c. 245 CEearly 320s) on the Pythagoreans. He thought the Pythagoreans had treated mathematics as essential for drawing the human soul upwards to higher realms described by Plato, and downwards to understand the physical cosmos, the products of arts and crafts and the order required for an ethical life.
His Pythagorean treatises use edited quotation to re-tell the history of philosophy, presenting Plato and Aristotle as passing on the ideas invented by Pythagoras and his early followers. Although his quotations tend to come instead from Plato and later Pythagoreanising Platonists, this re-interpretation had a huge impact on the Neoplatonist commentators in Athens. Iamblichus' cleverness, if not to the same extent his re-interpretation, was appreciated by the commentators in Alexandria.
Recenzijos
As argued in the interesting introduction by S. Gertz, this treatise presents a strong connection between mathematics and philosophy, emphasizing the practical relevance of mathematics for achieving the good life
Daugiau informacijos
A translation of ancient philosophical introductions accompanied by extensive commentary notes, introduction and indexes.
| Preface |
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vii | |
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| Conventions |
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ix | |
| Abbreviations |
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x | |
| Introduction |
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1 | (1) |
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The general context of the work |
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1 | (1) |
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The subject matter of DCMS |
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2 | (1) |
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The structure and argument of DCMS |
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3 | (3) |
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Iamblichus' use of quotation |
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6 | (1) |
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Iamblichus' use of pseudo-epigraphic late Neopythagoreans |
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7 | (1) |
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7 | (4) |
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Iamblichus' Projects and Genres Richard Sorabji |
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11 | (1) |
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Iamblichus' school at Apamea |
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11 | (1) |
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Iamblichus versus Porphyry on priestly power |
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12 | (1) |
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Iamblichus' commentaries on Plato and Aristotle and his philosophical skill and influence |
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13 | (2) |
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Julian, Emperor 361--2, and his revival of Iamblichus' theological tradition |
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15 | (1) |
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Iamblichus' priestly influence in Athens more than in Alexandria |
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15 | (1) |
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Mathematics and the Pythagorean sequence: History retold by edited quotation |
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16 | (3) |
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DCMS and the Pythagorean sequence as showing the value for Pythagoreans of mathematics for many reasons, including for life as a whole |
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19 | (2) |
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History retold by Iamblichus also in his commentaries |
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21 | (1) |
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The influence of DCMS on the fifth-century Athenian Neoplatonists Syrianus and Proclus |
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22 | (1) |
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Identifications so far of the sources of DCMS |
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23 | (6) |
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29 | (2) |
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31 | (70) |
| Notes |
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101 | (32) |
| Bibliography |
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133 | (4) |
| English--Greek Glossary |
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137 | (12) |
| Greek--English Index |
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149 | (12) |
| Index of Passages |
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161 | (2) |
| Subject and Name Index |
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163 | |
John Dillon is Emeritus Regius Professor of Greek at Trinity College Dublin, Ireland.
J.O. Urmson was Tutor in Philosophy at Corpus Christi College, University of Oxford, UK, and Henry Waldgrave Stuart Professor of Philosophy, Emeritus, at Stanford University, USA.
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