As time goes on, it becomes increasingly evident that the rules which the mathematician finds interesting are the same as those which Nature has chosen.

Pick a flower on Earth and you move the farthest star.

I consider that I understand an equation when I can predict the properties of its solutions, without actually solving it.

A theory with mathematical beauty is more likely to be correct than an ugly one that fits some experimental data.

It is quite clear that beauty does depend on one's culture and upbringing for certain kinds of beauty, pictures, literature, poetry and so on...But mathematical beauty is of a rather different kind. I should say perhaps it is of a completely different kind and transcends these personal factors. It is the same in all countries and at all periods of time.

I think it is the general rule that the originator of a new idea is not the most suitable person to develop it, because his fears of something going wrong are really too strong... At age 69.

Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this field.