Hypotheses Are What We Lack The Least.

[t]he Different Branches Of Arithmetic - Ambition [g]eometry Is Not True, It Is Advantageous.

The Scientist Does Not Study Nature Because It Is Useful To Do So. He Studies It Because He Takes Pleasure In It, And He Takes Pleasure In It Because It Is Beautiful. If Nature Were Not Beautiful It Would Not Be Worth Knowing, And Life Would Not Be Worth Living. I Am Not Speaking, Of Course, Of The Beauty Which Strikes The Senses, Of The Beauty Of Qualities And Appearances. I Am Far From Despising This, But It Has Nothing To Do With Science. What I Mean Is That More Intimate Beauty Which Comes From The Harmonious Order Of Its Parts, And Which A Pure Intelligence Can Grasp.

It Is Far Better To Foresee Even Without Certainty Than Not To Foresee At All.

Mathematicians Do Not Study Objects, But The Relations Between Objects.

Just As Houses Are Made Of Stones, So Is Science Made Of Facts.