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Hypatia of Alexandria: Mathematician and Martyr Kindle Edition
- LanguageEnglish
- PublisherPrometheus
- Publication dateSeptember 30, 2010
- File size558 KB
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HYPATIA of ALEXANDRIA
Mathematician and MartyrBy MICHAEL A. B. DEAKINPrometheus Books
Copyright © 2007 Michael A. B. DeakinAll right reserved.
ISBN: 978-1-59102-520-7
Contents
ACKNOWLEDGMENTS............................................................9A NOTE ON SPELLING CONVENTIONS.............................................11INTRODUCTION...............................................................13CHAPTER 1 The Historical Context...........................................19CHAPTER 2 The Intellectual Background......................................25CHAPTER 3 The Religious BackgroundA. Christianity............................................................31B. Neoplatonism............................................................35C. The Doctrine of the Trinity.............................................39CHAPTER 4 The Sources......................................................43CHAPTER 5 The Details of Hypatia's Life....................................49CHAPTER 6 Hypatia's Work, Attitudes, and Lifestyle.........................57CHAPTER 7 Hypatia's Death..................................................67CHAPTER 8 Hypatia's Philosophy.............................................77CHAPTER 9 Hypatia's MathematicsA. Background and Sources..................................................87B. Book III of the Almagest................................................91C. Books IV-XIII of the Almagest...........................................93D. Apollonius's Conics.....................................................95E. The Astronomical Canon..................................................96F. The Arithmetic of Diophantus............................................98G. The Astrolabe...........................................................102H. The "Hydroscope"........................................................104I. Other Work..............................................................105CHAPTER 10 Evaluation......................................................107APPENDIX A Mathematical DetailsA. Number Representation and Long Division.................................115B. Conic Sections..........................................................118C. Diophantine Analysis....................................................119D. Stereographic Projection................................................122APPENDIX B Pandrosion......................................................127APPENDIX C The Legend of Saint Catherine of Alexandria.....................135APPENDIX D Translations of the Primary SourcesA. The Suda, Hesychius, and Damascius......................................137B. Socrates Scholaticus....................................................143C. John of Nikiu...........................................................148D. Synesius of Cyrene......................................................150E. Miscellaneous...........................................................158NOTES......................................................................161ANNOTATED BIBLIOGRAPHY.....................................................213INDEX......................................................................221Chapter One
THE HISTORICAL CONTEXTIn the fifth century BCE, Greece was a collection of city-states of which Athens was the one we know best. It was in Athens that Socrates the philosopher lived and taught up till the time of his execution in 399 BCE. It was here, too, that his pupil Plato founded his Academy, an institution of higher learning with mathematics (in particular arithmetic and geometry) at the core of its curriculum.
Here also Plato's pupil Aristotle studied. Plato died in 348 or 347 BCE and Aristotle lived from 384 to 322 BCE. He in his turn taught Alexander of Macedon (Alexander the Great) whose dates are 356 to 323 BCE.
It was Alexander who united the various feuding states into a single Greek nation, which became the center of a large empire extending far beyond Greece itself.
In particular, Alexander's armies conquered northern Egypt around 330 BCE and one of his generals, Ptolemy I Soter, founded the city of Alexandria in the west of the Nile delta. Alexander installed Ptolemy as the first of a long line of hereditary rulers of Egypt. From that time till its takeover by the Arabs in 642 CE, Alexandria remained a Greek city and a major center of Greek learning and culture (often rivaling or even surpassing Athens itself). From its inception, however, its population included Jews, and Alexander himself decreed that Jews and Greeks were to be treated equally.
Early in his reign, Ptolemy I founded an institution of advanced scholarship, the Museum, which maintained a standard of excellence for almost seven centuries. It has been estimated that at the height of its glory the Museum in its libraries held some half a million books. The Museum, or at least its mathematical and philosophical traditions, will be dealt with in the next chapter.
Ptolemy also introduced the cult of a new god, Serapis, whose temple was adjacent to the Museum and whose worship was essentially peculiar to Alexandria.
The translation of the Hebrew scriptures (the Septuagint) in Alexandria in the third and second centuries BCE made these writings available to the Hellenic population as well as to those Jews who knew no Hebrew. A Platonistic account of Jewish religion (according to which the Logos or Word, the Idea of Ideas, was God's first-begotten) was produced in Alexandria by Philo Judaeus in the early part of the first century CE. Both these developments prepared the ground for the later spread of Christianity. Christianity came early to Alexandria. Tradition names Saint Mark the Evangelist as the first missionary to preach the Gospel there; more solidly, an early Alexandrian convert, one Apollos, is mentioned in Acts 18:24, as an assistant to the apostle Paul.
A little before this, in 80 BCE, Egypt was formally annexed to the Roman Empire as the Greek star by then had waned. Cleopatra's suicide in 30 BCE brought the Ptolemaic line to an end and Alexandria came under the direct governance of Rome.
However, this did not in any way affect the essentially Hellenic nature of Alexandria. It remained a Greek city with Greek as its language and with an intellectual tradition that was uncompromisingly Greek.
The first departure from this state of affairs came with the spread of Christianity. In the first century CE, Christianity was an insignificant movement, and it was only in the second century that it became deserving of notice. By the fourth century CE, however, it had become a very powerful force indeed.
The emperor Constantine I (Constantine the Great) embraced Christianity and "recognized" it-making it in effect the established state religion, a status it achieved de jure under the later emperor Theodosius I (Theodosius the Great). He also founded a city on his accession to the throne in 324 CE. This he erected on the site of the former Byzantium and modestly named it Constantinople. The new city became the focus of his power, and formed, along with Athens and Alexandria, the third major center in the eastern part of the Roman Empire.
Christianity remained the dominant religion of the empire thereafter except for brief lapses, notably a period during the reign of Julianus II (Julian the Apostate), 361-363 CE.
By this time the Roman Empire was in deep trouble. It was under external pressure from the Huns and the Visigoths and was in turmoil internally as well. In 364 CE it split into two parts: the Western Empire (ruled from Rome) and the Eastern Empire (ruled from Constantinople). Alexandria became a part of the Eastern Empire.
By this time, moreover, Christianity had developed an ugly face: the formerly persecuted were all too ready to become the persecutors. Jews felt the wrath of a by now openly anti-Semitic church militant, and "pagans," those who were neither Christian nor Jew, were also likely to be targets of violence.
As if this threefold division were not enough, points of doctrine divided the Christians and were all too often settled by force. Chapter 3, section A, gives more details of this, but these divisions between "orthodox Christians" and "heretics" further aggravated the factionalism that beset Alexandria in particular.
It was during the third and fourth centuries CE that the Museum fell into decline. The great libraries were destroyed in part during a succession of civil wars in the third century. The last collection probably went late in the next, in 391 CE, when the archbishop, Theophilus, obtained imperial sanction to raze the temple of Serapis and build a Christian church on its site (dedicated to John the Baptist, of whom he had custody of some alleged relics).
The last attested member of the Museum was a mathematician and astronomer, Theon of Alexandria, of whom we shall have much more to say, as he was Hypatia's father.
Early in the fifth century CE, in 412, Theophilus was succeeded in the archbishopric by his nephew Cyril (Saint Cyril of Alexandria). Cyril was much at loggerheads with the civil governor (or prefect), Orestes. Orestes was a Christian, but a much more tolerant one than was Cyril, who seems to have been personally a most intemperate man.
In, possibly, 414, Cyril unilaterally took it upon himself to expel the Jews from Alexandria, and this he did, much to Orestes' displeasure. The ensuing riots and the feud between the two men were the direct cause of Hypatia's death and will be examined in detail in chapter 7, but the turbulence of the times owed as much to the rift between the secular and the ecclesiastical authorities as to the sectarian animosities of the people.
With Hypatia's death, Alexandria lost its secular intellectual tradition almost entirely. What little mathematical activity remained in the empire tended to be conducted elsewhere.
The relevant emperor at the time (see table 1) was the Eastern emperor Theodosius II, who had acceded to the throne as a small boy. His regent, Anthemius, ruled till 414 CE and probably continued to exercise de facto power after that, as Theodosius was then still only in his midteens. Anthemius's grandson of the same name became the Western emperor in 467 CE and reigned until his execution in 472 on the orders of the Suebian general Ricimer. These events may have a bearing on the Hypatia story.
Other later developments also germane to the matter are various letters sent by both Orestes and Cyril to Theodosius after Hypatia's death. These will be discussed in detail, along with the material of the previous paragraph, in chapter 7. Among Theodosius's attempts to quell the turbulence was an edict of 423 CE forbidding persecution of the Jews and destruction of synagogues-issued not so much out of compassion for the Jews as to quell riots and disorder among "Hellenes, Jews, and heretics." all of which groups he despised!
The Arabs captured Alexandria in 642 CE and much of what remains of the mathematics of the late Hellenic world has in fact reached us via Arabic translation. The intellectual tradition that characterized Alexandrian life for some seven centuries developed out of this historical content.
(Continues...)
Excerpted from HYPATIA of ALEXANDRIAby MICHAEL A. B. DEAKIN Copyright © 2007 by Michael A. B. Deakin. Excerpted by permission.
All rights reserved. No part of this excerpt may be reproduced or reprinted without permission in writing from the publisher.
Excerpts are provided by Dial-A-Book Inc. solely for the personal use of visitors to this web site.
Product details
- ASIN : B003UD7RMI
- Publisher : Prometheus (September 30, 2010)
- Publication date : September 30, 2010
- Language : English
- File size : 558 KB
- Text-to-Speech : Enabled
- Screen Reader : Supported
- Enhanced typesetting : Enabled
- X-Ray : Not Enabled
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- Sticky notes : On Kindle Scribe
- Print length : 232 pages
- Best Sellers Rank: #1,274,894 in Kindle Store (See Top 100 in Kindle Store)
- #192 in Historical Middle Eastern Biographies
- #902 in Biographies of Scientists
- #1,394 in Philosopher Biographies
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This is what happens when you let mathematicians write biographies. The subject matter would have been better served by Micheal as a technical consultant, and the biography given over to a proper author of such genres.
If your interest is scholarly, this book may be useful to you. If you're looking for a biography on this esteemed woman, I would suggest looking elsewhere.
I read this book with an eye toward using it in one of my classes, Women and Science, and came away ready to make it required reading for my students. Deakin's approach to documenting Hypatia's history is different from other popular histories that I've read. Rather than integrating the different aspects of her story into a single chronological whole, he separates out the historical, intellectual and religious context into digestible chunks. Only after completing his illustration of the temporal stage on which Hypatia's life and death took place does he present the scant information that survives regarding her achievements as a mathematician, philosopher and political figure. The approach works extraordinarily well.
About half the volume is dedicated to appendices and notes, and while this section is more disjunct than the primary text, it also makes for interesting reading. Here we are given the details of Hypatia's mathematics; the intriguing story of Pandrosion, another woman mathematician that preceded her; a comentary on the legend of St. Catherine; and (my personal favorite) translations of the original sources.
I highly recommend this book for anyone interested in the history of the ancient world, women's history, women and science, and the conflicts that plagued the early Christian church.
The problem for both authors is that there just isn't that much to go on. Deakin used to (and maybe still does) maintain a list on his site of all the contemporary and semi-contemporary writings on Hypatia. Would you be surprised to learn that they all fit on a single double-spaced sheet of printer paper? That's how little we really have, and not a word from Hypatia's own hand; most from her adoring ex-pupil, Synesius of Cyrene. Small wonder that even the most skeptical scholars are willing to use the entry on her from the 10th Century Suda, a sort of lexicon written almost 400 years after her death.
With so few contemporary historical documents to draw on, both books are somewhat dry, as all patient, scholarly works must be; but readers looking for thoroughness will be well rewarded. Plus, I check up on Hypatia scholarship pretty regularly, and while there is almost no end to Hypatia fantasies, pseudo-scholarship, etc, Deakin's and Dzielska's are the only scholarly works for the non-specialist that I'm aware of (references to any others will be GREATLY appreciated!).
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After contents, acknowledgements and a note on spelling conventions, the work begins with an introduction followed by 1: The Historical Content. 2: The Intellectual Background. 3: The Religious Background: A: Christianity. B: Neoplatonism. C: The Doctrine of the Trinity. 4: The Sources. 5: The Details of Hypatia's Life. 6: Hypatia's Work, Attitudes and Lifestyle. 7: Hypatia's Death. 8: Hypatia's Philosophy. 9: Hypatia's Mathematics. 10: Evaluation. Appendix A: Mathematical Details. Appendix B: Pandrosian Appendix C: The Legend of Saint Catherine of Alexandria. Appendix D: Translation of the Primary Sources. These appendices are followed by helpful nots, an annotated bibliography and a useful index.
All too often biographical works give the impression that the authors are active members of some kind of ramblers association. There's none of that kind of thing here, although it could cause the reader to become jealous not to be skilled enough to be able to write such well presented and joy to read work. It's safe to say that Michael A B Deakin has created a masterpiece in which he meaningfully recreates the life and times of one of the all time great mathematicians: Hypatia of Alexandria, a deeply moral and devout, as well as being learned, woman who was brutally martyred by the Christians of Alexandria when Bishop 'Saint' Cyril was in charge there. The blood of Hypatia's martyrdom is the seed of truth.