by the same principles inherent in mathematical thinking
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Pythagoras believed numbers could be used to explain the natural world.
Because he went to babylion war first
If I recall it correctly Pythagoras found the when dealing with right angle triangles, the square on the hypotenuse equaled the sum of the squares on the other two sides.
Pythagoras was a famous philosopher and perhaps the world's first scientist. In looking for a better/uniform way to tune his harp, he discovered that the length of a string was in direct mathematical proportion to its pitch. From this revelation, Pythagoras made the leap of concluding that everything in nature could be expressed as mathematics. This approach to physics is still in use today. The Greek philosopher considered numbers to be sacred and developed a secret system of numerology. Pythagoras believed in reincarnation. Today, many people consider themselves 'Pythagoreans', that is, they have studied sacred numerology and beleve in reincarnation. Kaballists have the same belief as do Master Masons.