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WHY DOES MATH WORK SO WELL IN DESCRIBING SCIENTIFIC PHENOMENA ?WHERE DOES MATH COME FROM? CAN ANIMALS USE MATHEMATICAL REASONING?
"Mathematics may work so well to describe reality, perhaps because mathematics is the physical reality" During the time of the ancient Greeks there was a wide spread belief in a "Realm of Forms" Supposedly in this realm the perfect triangle, the perfect circle, the perfect square, name your shape and the perfect version existed in "The Realm of Forms". Over time it became ever more apparent that the world was more complex than just imperfect forms. See: August 10, 1632 THE BATTLE OVER THE "INFINITESIMAL". As illustrated by the Great Namazu in his THE BATTLE OVER THE "INFINITESIMAL" there was actually an academic, religious, and political battle over the entire concept of any form of mathematics that didn't involve equations that arrived at a single "right" answer. The greatest minds of the era were all caught up in the battle over the Infinitesimals including Galileo, Newton, Bellarmine, Hobbs, Clavis, and Wallis. It was a long time between the official onset of the fight over "the infinitesimals" the evolution of serious mathematical systems to measure, estimate, and manipulate "complexity". The "one right answer" geometries of Euclid and the calculus of Newton were sufficient for us to figure out how to split the atom and travel to the moon, but at the level of Quantum Mechanics it became insufficient. In 1984 Benoit Mandelbrot published his Fractal Geometry and mathematics and science began to mathematically explore above the old Eculidian / Newtonian Line" . Where will it end? Watch the linked video below to explore the idea more deeply:
NOVA: The Universe Space Time Mystery | Mathematical Science https://www.youtube.com/watch?v=8Fe6tn91Zus