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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 lucid thinkers and bold reasoners 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 Plato examined the difference between the 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 the Western way of life Euclids Elements is a comprehensive treatise on geometry proportions and the theory of numbers and is the most long-lived of all mathematical works It includes the Pythagorean Theorem which states that the square on the hypotenuse of a right triangle is equal to the sum of the square on the other two sides Pythagoras studied geometry and discovered the general proof of the theorem about right-angled triangles He insisted on generality in reasoning He is said to have taught that the mathematical entities such as numbers and shapes were the ultimate stuff out of which the real entities that we perceive are constructed He asked what is the status of mathematical entities such as numbers for example in the realm of things He discovered the importance of dealing with abstractions and in particular directed the attention of number as characterizing the periodicity of notes of music His followers made important contributions to medicine and astronomy and were among the first to teach that the earth was a spherical planet revolving about a fixed point Archimedes is famous for his works on buoyancy or floating bodies The famous
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