Inheritance by transmission
Greek ideas did not simply remain in the air for later people to breathe. They survived because particular texts were copied, translated, taught and argued over, and some of them nearly vanished. Tracing the legacy therefore means tracing routes: manuscripts passing through Byzantine scribes, translators working in Baghdad, scholars in medieval Spain, and Greek teachers arriving in Renaissance Italy. It also means being careful about credit. The Greeks drew on Egyptian and Mesopotamian knowledge, especially in astronomy and mathematics, and later cultures added a great deal of their own.
Philosophy
Philosophy in the Greek sense began, according to tradition, with thinkers in the Ionian cities of Anatolia who looked for natural explanations of the world. The work of the Presocratic thinkers survives mostly in quotations and summaries. The more complete record begins with Plato and Aristotle, whose writings shaped nearly every later tradition of European and Islamic thought.
Aristotle’s case shows how transmission worked. Much of his work was lost to the Latin-reading West for centuries, while Greek manuscripts continued to circulate in the Byzantine world. In the early Abbasid Baghdad of the 8th and 9th centuries CE, scholars translated Greek texts into Arabic, often through Syriac intermediaries and frequently with the support of wealthy patrons. Thinkers such as al-Farabi, Avicenna and Averroes wrote in this tradition, and Averroes became known in Latin Europe largely for his commentaries on Aristotle. From the 12th century, translators in places such as Toledo rendered Arabic versions into Latin. By the 13th century, Aristotle was central to university teaching, and thinkers like Thomas Aquinas worked to reconcile him with Christian doctrine.
Plato’s route was different. His ideas shaped late antique Platonism and were absorbed by early Christian and Islamic writers, and in the Renaissance, scholars in Florence studied his dialogues in Greek and in Latin translation.
Science and mathematics
Greek mathematics is a clear example of both achievement and survival. Euclid’s Elements, written around 300 BCE, organised geometry as a chain of proofs from stated starting points. It was copied in Greek, translated into Arabic and later into Latin, and remained a school text for a very long time. Archimedes worked on areas, volumes and the principles of levers and floating bodies. Eratosthenes, working in Alexandria in the 3rd century BCE, estimated the Earth’s circumference using the angle of the sun’s shadow at two places, and the method is sound even though the exact accuracy of his result is debated because the length of the unit he used is uncertain.
Astronomy was transmitted largely through Ptolemy’s work of the 2nd century CE, whose Arabic title gave us the name Almagest. Medieval astronomers in both Islamic and Christian lands used and criticised his models. Aristarchus of Samos proposed a sun-centred arrangement much earlier, but it did not win support in antiquity.
In medicine, the Hippocratic Corpus set out an approach that treated disease as a natural process, and the writings of Galen, a physician working in the Roman Empire, became the standard teaching for well over a thousand years. Hunayn ibn Ishaq and his circle translated many of Galen’s works into Arabic, which is how much of Galen’s thought reached medieval physicians. Some of his ideas, drawn largely from animal dissection, were later corrected by Renaissance anatomists.
Art and architecture
Greek sculptors and builders developed conventions that later cultures copied, adapted and sometimes rejected. The Doric, Ionic and Corinthian orders, the system of column and entablature used on temples, were taken up by Roman architects, as the Roman writer Vitruvius records, and then revived in Renaissance architecture and again in neoclassicism in the 18th and 19th centuries. Much of what Europe knew of Greek sculpture came through Roman copies, because many Greek bronzes were melted down and only a fraction of originals survive.
The influence of Greek sculpture and pottery was strong in Italy, where Etruscan and Roman workshops absorbed Greek styles. Later, Renaissance artists were studying surviving ancient statues, and Greek ideals of proportion and the idealised body became part of the European art training tradition.
Literature, history and the alphabet
Greek tragedy, comedy, epic and lyric poetry, along with the historical writing of Herodotus and Thucydides, set patterns for European literature. Roman authors imitated Greek models closely. The Greek alphabet, adapted from a Phoenician script, added written vowels, and it lies behind the Latin and Cyrillic alphabets, the latter by way of Byzantine missionary work.
What the legacy does not include
It is easy to claim too much. Democracy in modern states is a result of long, separate developments, and Athenian practice differed sharply from it: citizenship excluded women, enslaved people and foreigners. The Greeks did not invent science as a single act, and they did not agree with one another. Their legacy is better understood as a set of methods and questions, such as argument from first principles, proof, observation and comparison, which later people found useful and reshaped to their own needs.