When he is pushed, tormented, defeated, he has a chance to learn something; he has been put on his wits, on his manhood; he has gained facts; learns his ignorance; is cured of the insanity of conceit; has got moderation and real skill.
[Not enough is known about solid geometry] and for two reasons: in the first place, no government places value on it; this leads to a lack of energy in the pursuit of it, and it is difficult. In the second place, students cannot learn it unless they have a teacher. But then a teacher can hardly be found.
Erudition, like a bloodhound, is a charming thing when held firmly in leash, but it is not so attractive when turned loose upon a defenseless and unerudite public.
I am exclusively occupied with the problem of gravitation and hope with the help of a local mathematician friend [Marcel Grossman] to overcome all the difficulties. One thing is certain, however, that never in life have I been quite so tormented. A great respect for mathematics has been instilled within me, the subtler aspects of which, in my stupidity, I regarded until now as pure luxury.
The poor inhabitant below Was quick to learn and wise to know And keenly felt the friendly glow And softer flame; But thoughtless follies laid him low, And stain'd his name!
If I had an hour to solve a problem and my life depended on the solution, I would spend the first 55 minutes determining the proper question to ask, for once I know the proper question, I could solve the problem in less than five minutes.
One of the biggest lessons I've learned recently is that when you don't know what to do, you should do nothing until you figure out what to do because a lot of times you feel like you are pressed against the wall, and you've got to make a decision. You never have to do anything. Don't know what to do? Do nothing.