In geometric and physical applications, it always turns out that a quantity is characterized not only by its tensor order, but also by symmetry.

Symmetry, as wide or as narrow as you may define its meaning, is one idea by which man through the ages has tried to comprehend and create order, beauty and perfection.

Logic is the hygiene the mathematician practices to keep his ideas healthy and strong.

Besides language and music, mathematics is one of the primary manifestations of the free creative power of the human mind.

God exists because arithmetic is consistent - the Devil exists because we can't prove it!

... numbers have neither substance, nor meaning, nor qualities. They are nothing but marks, and all that is in them we have put into them by the simple rule of straight succession.

Mathematics has the inhuman quality of starlight, brilliant and sharp, but cold.

Before one can generalize, formalize, and axiomatize, there must be a mathematical substance.

You can not apply mathematics as long as words still becloud reality.

Our mathematics of the last few decades has wallowed in generalities and formalizations.

A modern mathematical proof is not very different from a modern machine, or a modern test setup: the simple fundamental principles are hidden and almost invisible under a mass of technical details.

Standing still is always more tiring than walking

Use the capacity and talent given to you by God to go and subdue the world given to you by Him

Fear usually benefits the feared

I'll walk where my own nature would be leading: It vexes me to choose another guide.

A job for your family, a paycheck in your mailbox - they're the ultimate proof that your state is doing things right!

So the animal finally performs in that situation only the fitting act.

The virtues and vices are all put in motion by interest.

None despise fame more heartily than those who have no possible claim to it.

Sometimes I get scared that I’m going to enter a web address into Twitter thinking it was my browser. That would be bad.

D-Wade is the unselfish guy here-he is welcoming Chris Bosh and LeBron James to his team.