Nature and Mathematics I

"The laws of nature are but the mathematical thoughts of God." (Euclid)

 "I believe we can attach mathematically everything in nature and in the world of change."  (Iambilichus)

"Whence is it that nature does nothing in vain; and whence arises all that order and beauty which we see in the world?" (Sir Isaac Newton)

"Nature is pleased with simplicity, and affects not the pomp of superfluous causes." (Sir Issac Newton)

"Although to penetrate into the intimate mysteries of nature and hence to learn the true causes of phenomena is not allowed to us, nevertheless it can happen that a certain fictive hypothesis may suffice for explaining many phenomena." (Leonhard Euler)

"For many parts of nature can neither be invented with sufficient subtlety, nor demonstrated with sufficient perspicuity, nor accommodated unto use with sufficient dexterity without the aid and
intervention of mathematics.” (Galileo Galilei)

"The great book of nature can be read only by those who know the language in which it was written. And this language is mathematics." (Galileo Galilei)

"Nature's great book is written in mathematical symbols." (Galileo Galilei)

"For many parts of nature can neither be invented with sufficient subtlety, nor demonstrated with sufficient perspicuity, nor accommodated unto use with sufficient dexterity without the aid and intervention of mathematics."(Morris Kline, "Mathematics and the Physical World, 1959)

"it is the most widely accepted axiom in the natural science that Nature makes use of the fewest possible means" (Johannes Kepler)

"Nature is pleased with simplicity, and affects not the pomp of superfluous causes." (Morris Kline, "Mathematics and the Physical World", 1959)