Major Greek contributions include astronomy, optics, and acoustics, along with major advances in mathematics. Science in ancient Greece was based on logical thinking and mathematics. The Greeks were very interested to know about the world, the heavens, and themselves. Greek geniuses were articulate thinkers. (Pg. 55, Society and Technological Change)

The Greek philosophers were very much drawn to mathematics. They invented its generality, analyzed its premises, and made notable discoveries of theorems by a rigid adherence to deductive reasoning. Geometry became the basic instrument for measuring all things. (Weinkopf, http://www.perseus.tufts.edu/GreekScience/Students/Chris/GreekMath.html)

Plato examined the difference between the untrustworthy and changing world of the senses and that of the permanent truths that could only be found through rational thought. The unchanging elements of geometry were the measures of this ideal, permanent thought-world. This union of logic with geometry laid the foundations of...