Hypatia in the context of "Greek mathematicians"

Ancient Greek mathematics refers to the history of mathematical ideas and texts in Ancient Greece during classical and late antiquity, mostly from the 5th century BC to the 6th century AD. Greek mathematicians lived in cities spread around the shores of the ancient Mediterranean, from Anatolia to Italy and North Africa, but were united by Greek culture and the Greek language. The development of mathematics as a theoretical discipline and the use of deductive reasoning in proofs is an important difference between Greek mathematics and those of preceding civilizations.

The early history of Greek mathematics is obscure, and traditional narratives of mathematical theorems found before the fifth century BC are regarded as later inventions. It is now generally accepted that treatises of deductive mathematics written in Greek began circulating around the mid-fifth century BC, but the earliest complete work on the subject is Euclid's Elements, written during the Hellenistic period. The works of renown mathematicians Archimedes and Apollonius, as well as of the astronomer Hipparchus, also belong to this period. In the Imperial Roman era, Ptolemy used trigonometry to determine the positions of stars in the sky, while Nicomachus and other ancient philosophers revived ancient number theory and harmonics. During late antiquity, Pappus of Alexandria wrote his Collection, summarizing the work of his predecessors, while Diophantus' Arithmetica dealt with the solution of arithmetic problems by way of pre-modern algebra. Later authors such as Theon of Alexandria, his daughter Hypatia, and Eutocius of Ascalon wrote commentaries on the authors making up the ancient Greek mathematical corpus.

Theon of Alexandria (/ˌθiːən, -ɒn/; Ancient Greek: Θέων ὁ Ἀλεξανδρεύς; c. AD 335 – c. 405) was a Greek scholar and mathematician who lived in Alexandria, Egypt. He edited and arranged Euclid's Elements and wrote commentaries on works by Euclid and Ptolemy. His daughter Hypatia also won fame as a mathematician.

The School of Athens (Italian: Scuola di Atene) is a fresco by the Italian Renaissance artist Raphael. It was painted between 1509 and 1511 as part of a commission by Pope Julius II to decorate the rooms now called the Stanze di Raffaello in the Apostolic Palace in Vatican City.

The fresco depicts a congregation of ancient mathematicians, philosophers, and scientists, with Plato and Aristotle featured in the center. The identities of most figures are ambiguous or discernable only through subtle details or allusions; among those commonly identified are Socrates, Pythagoras, Archimedes, Heraclitus, Averroes, and Zarathustra. Additionally, Italian artists Leonardo da Vinci and Michelangelo are believed to be portrayed through Plato and Heraclitus, respectively. Raphael included a self-portrait beside Ptolemy. Hypatia is the only notable character who is looking directly at the viewer in the artwork.

Orestes (fl. 415 AD) was a Roman state official serving as governor of the diocese of Egypt (the Augustal prefect) in 415. During his term of office, he was engaged a violent feud with the bishop of Alexandria, Cyril, and their struggle precipitated the death of the philosopher and scientist Hypatia.

The Dream of Scipio is a novel by Iain Pears. It is set in Provence at three different critical moments of Western civilization—the collapse of the Roman Empire in the fifth century, the Black Death in the fourteenth, the Second World War in the twentieth—through which the fortunes of three men are followed:

• Manlius Hippomanes, a Roman Gallic aristocrat obsessed with the preservation of Roman civilization
• Olivier de Noyen, a poet and scholar, active in the Papal Court at Avignon
• Julien Barneuve, an intellectual who cooperates with the Vichy government

The story of each man is woven through the narrative, all linked by the Dream of Scipio, written by Manlius (not Cicero's eponymous classical text) and rediscovered by Olivier and Julien. Inspired by the teachings of Sophia, a Neoplatonist philosopher and the daughter of a student of Hypatia, Manlius composes the text to justify the decisions he takes when facing attack by the Visigoths and Burgundians, with little support from Rome. Religious issues, and how politics have influenced religious tolerance, shape all three stories: the roots of twentieth-century antisemitism are traced and linked to other political decisions to use Jews as scapegoats. The three stories are united by an extended deliberation how one resolves ethical conflicts, emotional commitments, and the quest for the true meaning of human life.