The Greek philosopher Thales of Miletus (Θαλής ο Μιλήσιος) predicted the occurrence of an eclipse on this day in 585 BC. The eclipse occurred during the Battle of Halys (also known as the Battle of the Eclipse) between a Greek tribe (the Lydians) and a Persian tribe (the Medes). The sight of the sun disappearing brought the battle to a halt and the warring factions made peace immediately.
Thales’ prediction probably played no role whatsoever in the political events of this day. The armies stopped fighting because they thought the eclipse was an omen of bad fortune. They believed the eclipse was supernatural. Thales thought exactly the opposite. He is generally credited with saying something like “every observable effect has a physical cause”.
An eclipse occurs whenever the moon passes between the sun and the earth in such a way that the moon is able to cast a shadow on the earth. The period between such events is roughly 18 years and is known as the Saros cycle. Thales may have known about this cycle or he may have made observations of the moon a few days before the eclipse and projected its path across the face of the sun. I don’t know if anyone knows the answer to this part of the story. What we do know is that Thales did not consult an oracle, or divine the answer by looking at the entrails of a goat, or receive a message from Zeus. He saw the eclipse as a natural event dictated by natural laws and made a testable prediction based on observations. (NASA has a great website that both predicts and retrodicts eclipses.)
Thales of Miletus was the earliest known person to think scientifically. In essence, he was the first scientist. His prediction of the eclipse is the earliest recorded example of hypothesis testing. In essence, it was the first scientific event. This makes 28 May 585 BC the day on which science was born.