Turbulence is the most important unsolved problem of classical physics.
The child knows only that he engages in play because it is enjoyable. He isn't aware of his need to play--a need which has its source in the pressure of unsolved problems. Nor does he know that his pleasure in playing comes from a deep sense of well-being that is the direct result of feeling in control of things, in contrast to the rest of his life, which is managed by his parents or other adults.
The book Dynamic Programming by Richard Bellman is an important, pioneering work in which a group of problems is collected together at the end of some chapters under the heading "Exercises and Research Problems," with extremely trivial questions appearing in the midst of deep, unsolved problems. It is rumored that someone once asked Dr. Bellman how to tell the exercises apart from the research problems, and he replied: "If you can solve it, it is an exercise; otherwise it's a research problem."
We know a great deal, but our ignorance is sobering and boundless. With each step forward, with each problem which we solve, we not only discover new and unsolved problems, but we also discover that where we believed that we were standing on firm and safe ground, all things are, in truth, insecure and in a state of flux.
The thinking person has the strange characteristic to like to create a fantasy in the place of the unsolved problem, a fantasy that stays with the person even when the problem has been solved and truth made its appearance.
I believe that each young person is different from any other who has ever lived, as different as his fingerprints: that he could bring to the world a wonderful and special way of solving unsolved problems, that in his special way, he can be great.
As long as we have unsolved problems, unfulfilled desires, and a mustard seed of faith, we have all we need for a vibrant prayer life.
When the sea goes down, there will come from the mainland boats and men. And they will find ten dead bodies and an unsolved problem on Indian Island.
Experience hobbles progress and leads to abandonment of difficult problems; it encourages the initiated to walk on the shady side of the street in the direction of experiences that have been pleasant. Youth without experience attacks the unsolved problems which maturer age with experience avoids, and from the labors of youth comes progress. Youth has dreams and visions, and will not be denied.
For me, consciousness is the most interesting unsolved problem of science, and, in fact, we may never know what it is about a particular arrangement of neurons that gives rise to consciousness. Our consciousness, like the air we breathe or like the passage of time, is central to our existence as intelligent beings.
A capacity, and taste, for reading, gives access to whatever has already been discovered by others. It is the key, or one of the keys, to the already solved problems. And not only so. It gives a relish, and facility, for successfully pursuing the [yet] unsolved ones.
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