Intellectuals solve problems; geniuses prevent them.
When the solution is simple, God is answering.
The difference between what we do and what we are capable of doing would suffice to solve most of the world's problems.
Mahatma Mohandas K. Gandhi
Imagination is more important than knowledge, for knowledge is limited while imagination embraces the entire world.
We can't solve problems by using the same kind of thinking we used when we created them.
The true delight is in the finding out rather than in the knowing.
Little by little does the trick.
Each problem that I solved became a rule which served afterwards to solve other problems.
The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
It is no good getting furious if you get stuck. What I do is keep thinking about the problem but work on something else. Sometimes it is years before I see the way forward. In the case of information loss and black holes, it was 29 years.
The greatest and most important problems of life are all fundamentally insoluble. They can never be solved but only outgrown.