In our travels, we have come across many equations — math for understanding the universe, for making music, for mapping stars, and also for tipping, which is important. Here is our favorite equation: Us plus Them equals All of Us. It is very simple math. Try it sometime. You probably won’t even need a pencil.

This is a mathematical universe. We are surrounded by equations and summations. Your life: the current state of your life and life itself is a direct summation of the equation you have created. Your life is a reflection of many choices you have made at the innumerable amount of choice-points you've crossed. Great endeavors are the summation of a great and deliberate equation.

I summed up all systems in a phrase, and all existence in an epigram.

The whole of arithmetic now appeared within the grasp of mechanism.

So far, all of reality seems to be described by exquisite, elegant mathematical equations. We can’t stop now – it’s got to be beautiful all the way down!

Thus, all unknown quantities can be expressed in terms of a single quantity, whenever the problem can be constructed by means of circles and straight lines, or by conic sections, or even by some other curve of degree not greater than the third or fourth.
But I shall not stop to explain this in more detail, because I should deprive you of the pleasure of mastering it yourself, as well as of the advantage of training your mind by working over it, which is in my opinion the principal benefit to be derived from this science. Because, I find nothing here so difficult that it cannot be worked out by anyone at all familiar with ordinary geometry and with algebra, who will consider carefully all that is set forth in this treatise.

All the standard equations of mathematical physics can be separated and solved in .

Loosely translated: With me, everything turns into mathematics.

All truth is comprised in music and mathematics.

Everything that can be thought at all can be thought clearly. Everything that can be said can be said clearly.

It is simplest to think of mathematics as the catalogue of all possible patterns. ...When viewed in this way, it is inevitable that the world is described by mathematics. ...In many ways the search for a Theory of Everything is a manifestation of a faith that this compression goes all the way down to the bedrock of reality...

[A]ll science as it grows towards perfection becomes mathematical in its ideas.

To every problem, there is a most simple solution.

The sum of all your thoughts comprises your overall attitude.