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It is sometimes difficult to determine which ideas Pythagoras taught originally, as opposed to the ideas his followers later added. While he clearly attached great importance to geometry, classical Greek writers tended to cite Thales as the great pioneer of this science rather than Pythagoras. The later tradition of Pythagoras as the inventor of mathematics stems largely from the Roman period.

In medicine, doctors still refer to the Hippocratic oath, instituted by Hippocrates, who is also credited with laying the foundations of medicine as a science. Galen built on Hippocrates' theory of the four humours, and his writings became the foundation of medicine in Europe and the Middle East for centuries. The Greek physicians Herophilos and Paulus Aegineta were pioneers in the study of anatomy, while Pedanius Dioscorides wrote an extensive treatise on the practice of pharmacology.

By the end of the 14th century, a poetic form called mantinada became popular; it was a rhyming couplet of fifteen syllables.

Greece achieved high rates of growth in the late 1960s and early 1970s due to large foreign investments. In the mid-1970s, Greece suffered declines in its GDP growth rate, ratio of investment to GDP, and productivity, and real labor costs and oil prices rose. In 1981, protective barriers were removed when Greece joined the European Community. The government pursued expansionary policies, which fueled inflation and caused balance-of-payment difficulties. Growing public sector deficits were financed by borrowing. In October 1985, supported by a 1.7 billion European Currency Unit (ECU) loan from the European Union (EU), the government implemented a two-year "stabilization" program with limited success. Public sector inefficiency and excessive spending caused government borrowing to increase; by the end of 1992, general government debt exceeded 100% of GDP.

During this period sculpture became more and more naturalistic. Common people, women, children, animals and domestic scenes became acceptable subjects for sculpture, which was commissioned by wealthy families for the adornment of their homes and gardens. Realistic portraits of men and women of all ages were produced, and sculptors no longer felt obliged to depict people as ideals of beauty or physical perfection. At the same time, the new Hellenistic cities springing up all over Egypt, Syria, and Anatolia required statues depicting the gods and heroes of Greece for their temples and public places. This made sculpture, like pottery, an industry, with the consequent standardisation and some lowering of quality. For these reasons many more Hellenistic statues have survived than is the case with the Classical period.

Heraclitus had a unique view of reality. For him change was the most important fact about the world, as the lines quoted illustrate. Brooks in his Introduction and brief Notes points out that it is very difficult to translate such ancient writing into contemporary English. The changes in the culture, the figures of speech, the chasm between the background of the contemporary reader and that of a Greek of twenty-five hundred years ago as relates to our understanding of the world, and so forth, makes literal translation pointless and freer translation subject to question. It is a point to keep in mind when considering any of these Pre-Socratics. Heraclitus also illustrates the point that these early philosophers do have important things to tell us about the world. Xenophanes

The Greeks decided at a very early period that the human form was the most important subject for artistic endeavour. Since they saw their gods as having human form, there was no distinction between the sacred and the secular in art — the human body was both secular and sacred. A male nude could just as easily be Apollo or Herakles or that year's current Olympic boxing champion. In the Archaic Period the most important sculptural form was the kouros (plural kouroi), the standing male nude (See for example Biton and Kleobis). The kore (plural korai), or standing female figure, was also common, but since Greek society did not permit the public display of female nudity until the 4th century BC, the kore is considered to be of less importance in the development of sculpture.

One minority possesses special rights (deriving mainly from the Treaty of Lausanne): the Muslim minority of Thrace.

Greek religion is the polytheistic religion practiced in ancient Greece in form of cult practices, thus the practical counterpart of Greek mythology. Within the Greek world, religious practice varied enough so that one might speak of Greek religions. The cult practices of the Hellenes extended beyond mainland Greece, to the islands and coasts of Ionia in Asia Minor, to Magna Graecia (Sicily and southern Italy) and to scattered Greek colonies in the Western Mediterranean, such as Massilia (Marseille). Greek examples tempered Etruscan cult and belief to inform much of the Roman religion.

The most widespread public act of worship in ancient Greece was sacrifice, especially the blood sacrifice of animals. The temples of the Greek religion generally were not public gathering places where people gathered socially for collective indoor prayer; most temples were little more than boxes that held a cult idol of the deity. Rather, the temples were part slaughterhouse and part barbecue; oxen, sheep, horses, swine, dogs, various birds, and almost every kind of beast, be it fur, fish, or fowl, were offered as sacrificial victims to one deity or another, again depending chiefly on local custom. When we are told in studies of mythology that "horses are sacred to Poseidon" or roosters to Hermes, what this meant first and foremost was that these animals were customarily offered as sacrifices to those gods. Most sacrificial victims were food animals; for these, the usual practice was to offer the god the blood, bones, and hide of the victim, while the worshippers kept and ate the rest.

About 80% of Greece is mountainous or hilly. Much of the country is dry and rocky; only 28% of the land is arable. Greece has mild, wet winters and hot, dry summers. Temperatures are rarely extreme, although snowfalls do occur in the mountains and occasionally even in Athens in the winter.

Most of the best known surviving Greek buildings, such as the Parthenon and the Temple of Hephaestus in Athens, are Doric. The Erechtheum, next to the Parthenon, however, is Ionic. The Ionic order became dominant in the Hellenistic period, since its more decorative style suited the aesthetic of the period better than the more restrained Doric. Some of the best surviving Hellenistic buildings, such as the Library of Celsus, can be seen in Turkey, at cities such as Ephesus and Pergamum. But in the greatest of Hellenistic cities, Alexandria in Egypt, almost nothing survives

The majority of Greeks (95 to 98%) have at least nominal membership of the Eastern Orthodox Church, although religious observance has declined in recent years. Greek Muslims make up about 1.3% of the population, and live mainly in Thrace. Greece has some Roman Catholics: mainly in the Cyclades islands of Syros, Paros and Naxos; some Protestants and some Jews, mainly in Thessaloniki. Some groups in Greece have started an attempt to reconstruct Hellênismos, the old Greek pagan religion. See also: Greek Orthodox Church.

Funeral statuary evolved during this period from the rigid and impersonal kouros of the Archaic period to the highly personal family groups of the Classical period. These monuments are commonly found in the suburbs of Athens, which in ancient times were cemeteries on the outskirts of the city. Although some of them depict "ideal" types — the mourning mother, the dutiful son — they increasingly depicted real people, typically showing the departed talking his dignified leave from his family. They are among the most intimate and affecting remains of the Ancient Greeks.

The standard format of Greek public buildings is well known from surviving examples such as the Parthenon, and even more so from Roman buildings built partly on the Greek model, such as the Pantheon in Rome. The building was usually either a cube or a rectangle made from limestone, of which Greece has an abundance, and which was cut into large blocks and dressed. Marble was an expensive building material in Greece: high quality marble came only from Mt Pentelus in Attica and from a few islands such as Paros, and its transportation in large blocks was difficult. It was used mainly for sculptural decoration, not structurally, except in the very grandest buildings of the Classical period such as the Parthenon.