In the sciences, the authority of thousands of opinions is not worth as much as one tiny spark of reason in an individual man.

Nature is written in mathematical language.

Some, merely to contradict what I had said, did not scruple to cast doubt upon things they had seen with their own eyes again and again.

Names and attributes must be accommodated to the essence of things, and not the essence to the names, since things come first and names afterwards.

Measure what is measurable, and make measurable what is not so.

The Universe is a grand book which cannot be read until one first learns to comprehend the language and become familiar with the characters in which it is composed. It is written in the language of mathematics.

Philosophy itself cannot but benefit from our disputes, for if our conceptions prove true, new achievements will be made; if false, their refutation will further confirm the original doctrines.