So I take it you're an engineer huh?
;-)
I would just like to add a point - the Flat Earth stuff is a theory not a science.
What you described as science in ancient Greece was more akin to philosophy (and indeed was called philosophy) than the modern view of science and scientific theory.
They didn't know stuff, so they came up with concepts and ideas and discussed them. We still do this today, and in 2000 years the things that we thought were real will be laughed at. That's just the way things go.
And in 2000 years, there will still be some people arguing that the earth is flat - on their way to Mars for their summer holidays
RE: Flat Earthers vs. Engineering