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Some consider Pythagoras the pupil of Anaximander and some ancient sources tell of his visiting, in his twenties, the philosopher Thales, just before the death of the latter. No account exists of the specifics of the meeting, other than the report that Thales recommended that Pythagoras travel to Egypt in order to further his philosophical and mathematical training. Evidence certainly suggests that the Egyptians had advanced further than the Greeks of their time in mathematics and astronomy, and many scholars now believe that the Egyptians used the Pythagorean theorem in some of their architectural projects before the 6th century BC. Indian mathematicians were aware of special cases (at least) of the theorem as early as the 8th century BC (see: Baudhayana).

In the 1950s and 1960s Greece continued to develop slowly, initially with the help of the U.S.A Marshall programme and later with the growth of tourism. In 1967 the military seized power in a coup d'état, overthrew the social-democrat government of George Papandreou, senior and established what became known as the Régime of the Colonels, supported by the U.S.A. In 1973 the régime abolished the Greek monarchy. In 1974, dictator Papadopoulos denied help to the USA and as a result the (US/Kissinger) "appointed" a new dictator named Ioannides. Many hold Ioannides responsible for the coup against President Makarios of Cyprus -- the coup seen as the pretext for the first wave of the Turkish invasion of Cyprus in 1974. The Cyprus events and the outcry following a bloody suppression of Athens Polytechnic uprising in Athens led to the implosion of the military régime. A charismatic exiled politician, Konstantinos Karamanlis, returned from Paris as interim prime minister and later gained re-election for two further terms at the head of the conservative Nea Dimokratia party. In 1975, following a referendum to confirm the deposition of King Constantine II, a democratic republican constitution came into force. Another previously exiled politician, Andreas Papandreou also returned and founded the socialist PASOK party, which won the elections in 1981 and dominated the country's political course for almost two decades.

Finally every Greek town had a theatre. These were used for both public meetings as well as dramatic performances. These performances originated as religious ceremonies; they went on to assume their Classical status as the highest form of Greek culture by the 6th century BC (see Greek theatre). The theatre was usually set in a hillside outside the town, and had rows of tiered seating set in a semi-circle around the central performance area, the orchestra. Behind the orchestra was a low building called the skene, which served as a store-room, a dressing-room, and also as a backdrop to the action taking place in the orchestra. A number of Greek theatres survive almost intact, the best known being at Epidaurus.

The method the Greek philosophers followed in forming and transmitting their answers became just as important as the questions they asked. The pre-Socratic philosophers rejected traditional mythological explanations for the phenomena they saw around them in favor of more rational explanations. In other words they depended on reason and observation to illuminate the true nature of the would around them, and they used rational argument to advance their views to others. And though philosophers have argued at length about the relative weights that reason and observation should have, for two and a half millennia they have basically united in the use of the very method first used by the pre-Socratics.

Some of the earliest popular music stars from Crete were Mountakis and Skordalos. Later, in the 1960s, musicians like Niko Xylouris and Yiannis Markopoulos combined Cretan folk music with classical techniques. Some Cretans felt that this was unpatriotic, and Xylouris especially was criticized relentlessly. Nevertheless, he remained popular, as did similarly-styled performers like Charalambos Garganourakis. The film Zorba the Greek also helped to expand the audience for Cretan folk music; popularity peaked from about the middle of the 1970s to the middle of the 1980s.

The Greek language dates back at least 3,500 years, and modern Greek preserves many elements of its classical predecessor. In the 19th century, after Greece's War of Independence, an effort was made to rid the language of Turkish and Arabic words and expressions. The resulting version was considered to be closer to the Koine Greek and was called Katharevousa. However, Katharevousa was never adopted by most Greeks in daily speech. The commonly spoken language, called Dhimotiki, became the official language in 1976.

The ancient Greeks developed two primary styles (or "Classical orders"); the restrained and solid Doric and the refined and decorated Ionic. It should be noted that the Ionic style eventually evolved into the more ornate Corinthian style.

Many philosophers followed Thales' lead in searching for explanations in nature rather than in the supernatural; others returned to supernatural explanations, but couched them in the language of philosophy rather than myth or religion