Do you know that Greeks find it very hard to write down equations and number problems?

Because the Greeks had only very clumsy ways of writing down numbers,they didn't like algebra.

instead,Greeks mathematicians were more focused on geometry,and used geometric methods to solve problems that you might use algebra for.

They were also very interested in proving that certain mathematical ideas were true.
So they spent a lot of time using geometry to prove that things are always true,even though people like Egyptians and Babylonians already knew that they were true most of the time anyway.

The Greeks in general,were very interested in rationality,in things making sense and hanging together.They wanted to tie up the loose ends.They liked music,because music followed strict rules to produce beauty.So did architecture and so did mathematics.