A famous Philosopher of Greece is Thales. Thales was a resident of Miletus. Miletus was where most people became famous Mathematicians and Scientists. Thales was known as the first philosopher of natural science. He came from a wealthy family, and was educated by an Egyptian. Thales believed that the earth was originated by water, and also that the world was flat and it floated on water. He thought that water originated nature. A famous math principle is known as Thales Theorem. This is what Thales Theorem is: If A,B, and C are points on a circle, where the line AC in a diameter of the circle, then angle ABC is a right angle. Thales could also use geometry to find big distances, for example, he could find how far a ship was from shore.
A famous Mathematician of Greece is Eratosthenes. Eratosthenes was the first person to measure the world's circumference. Eratosthenes measured the earth's circumference by using a gnomon. A gnomon was a small stick placed on the floor that would tell what time it was in days and in years. He placed two at different locations in Egypt, and using his knowledge of geometry, he determined the circumference of the earth. Eratosthenes also determined the circumference of the earth. Eratosthenes' measurements were very close to the results we have today.
Anaximander was one of the famous scientists. He was a student of Thales, and was known as a Ionian astronomer. Anaximander thought that the earth was a cylinder, and that the earth was formed by pieces spun off from the universe. He also thought that the Sun, Moon, and stars moved in circles around the earth. Anaximander invented an idea that became a Basis of Darwin's theory of evolution. Anaximander's idea that later became a Basis of Darwin's theory of evolution was this: The world was a ocean and we were shells. Then, energy evaporated water and there, behold, was land! then we shed our shells and came to land. Later on, we adapted, and now here we are!
The reason we should study these famous people, is that there are many things about our own scientific knowledge that may be wrong, but which we can not otherwise prove.