Further proof of 2. being false by ignorance or lies, take your pick.
"Anaxagoras brought philosophy and the spirit of scientific inquiry from Ionia to Athens. His observations of the celestial bodies and the fall of meteorites led him to form new theories of the universal order. He attempted to give a scientific account of eclipses, meteors, rainbows, and the sun, which he described as a mass of blazing metal, larger than the Peloponnese. He was the first to explain that the moon shines due to reflected light from the sun. He also said that the moon had mountains and believed that it was inhabited. The heavenly bodies, he asserted, were masses of stone torn from the earth and ignited by rapid rotation. He explained that, though both sun and the stars were fiery stones, we do not feel the heat of the stars because of their enormous distance from earth. He thought that the earth is flat and floats supported by 'strong' air under it and disturbances in this air sometimes causes earthquakes." Burnet J. (1892) Early Greek Philosophy A. & C. Black, London
"In about 450 BC Anaxagoras was imprisoned for claiming that the Sun was not a god and that the Moon reflected the Sun's light. This seems to have been instigated by opponents of Pericles" B Russell, History of Western Philosophy (London, 1961), 79-81.
"The sun is a mass of fiery metal, and the moon is an earthy lump (with no light of its own)."
http://plato.stanford.edu/entries/anaxagoras/#SciAnaCos"The earth [according to Anaxagoras] is flat in shape. It stays up because of its size, because there is no void, and because the air, which is very resistant, supports the earth, which rests on it. Now we turn to the liquids on the earth: The sea existed all along, but the water in it became the way it is because it suffered evaporation, and it is also added to from the rivers which flow into it. Rivers originate from rains and also from subterranean water; for the earth is hollow and has water in its hollows. The Nile rises in the summer because water is carried down into it from the snow in the north.The sun, the moon, and all the heavenly bodies are red-hot stones which have been snatched up by the rotation of the aether. Below the heavenly bodies there exist certain bodies which revolve along with the sun and the moon and are invisible….The moon is below the sun, closer to us. The sun is larger than the Peloponnesus. The moon does not shine with its own light, but receives its light from the sun…. Eclipses of the moon occur when the earth cuts off the light, and sometimes when the bodies below the moon cut off the light. Eclipses of the sun take place at new moon, when the moon cuts off the light…. Anaxagoras was the first to describe the circumstances under which eclipses occur and the way light is reflected by the moon. He said that the moon is made of earth and has plains and gullies on it. The Milky Way is the light of those stars which are not lit up by the sun." A Refutation of All Heresies, 1, epitome, 3.
Granted he said a lot of things were wrong. However this does not prove his idea that moon light is reflected light wrong. However he wasn't the only one.
India
http://www-history.mcs.st-andrews.ac.uk/Biographies/Aryabhata_I.htmlChina radiance theory
Needham, Joseph (1986). Mathematics and the Sciences of the Heavens and Earth. Science and Civilization in China 3. Taipei: Caves Books. p. 227; 411–416
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