A Quote by Philip J. Davis

The inner circle of pure mathematicians will respond to the book with delight. — © Philip J. Davis
The inner circle of pure mathematicians will respond to the book with delight.
Relations between pure and applied mathematicians are based on trust and understanding. Namely, pure mathematicians do not trust applied mathematicians, and applied mathematicians do not understand pure mathematicians.
Programming is one of the most difficult branches of applied mathematics; the poorer mathematicians had better remain pure mathematicians.
...nature seems very conversant with the rules of pure mathematics, as our own mathematicians have formulated them in their studies, out of their own inner consciousness and without drawing to any appreciable extent on their experience of the outer world.
Many errors, of a truth, consist merely in the application of the wrong names of things. For if a man says that the lines which are drawn from the centre of the circle to the circumference are not equal, he understands by the circle, at all events for the time, something else than mathematicians understand by it.
Enlightenment is to be outside the circle, the circle of death and rebirth. There is a circle inside you. If you meditate and focus on your third eye, you will see a circle of light.
We gathered the wild-flowers. Yes, life there seem'd one pure delight; As thro' the field we rov'd. Yes, life there seem'd one pure delight.
Delight is the secret. Learn of pure delight and thou shalt learn of God. What then was the commencement of the whole matter? Existence that multiplied itself for sheer delight of being and plunged into numberless trillions of forms so that it might find itself innumerably.
So we see that even when Fortuna spins us downward, the wheel sometimes halts for a moment and we find ourselves in a good, small cycle within a larger bad cycle. The universe, of course, is based upon the principle of the circle within the circle. At the moment, I am in an inner circle. Of course, smaller circles within this circle are also possible.
You will never outperform your inner circle.
The aggregates that we pick up in the human plane will be washed away, and we will become pure spirit, pure light, pure love, and pure ecstasy.
The only thing I hope for is that, regardless of what the outward world is for different people, different nations, I hope their internal world is similar. And if I, hopefully, have managed to somehow describe my inner world in this book, all I count on is that it will have some resonance among the American readers, or, at the very least, the American readers will treat this book as a kind of a guidebook for my inner world, strange as it may appear.
Delight is the secret. Learn of pure delight and thou shalt learn of God.
Should not the Bible regain the place it once held as a schoolbook? Its morals are pure, its examples are captivating and noble....In no Book is there so good English, so pure and so elegant, and by teaching all the same they will speak alike, and the Bible will justly remain the standard of language as well as of faith.
Most geometricians, chemists, mathematicians, and great scientists submit religion to reason only to discover a problem as unsolvable as that of squaring a circle.
I am obliged to interpolate some remarks on a very difficult subject: proof and its importance in mathematics. All physicists, and a good many quite respectable mathematicians, are contemptuous about proof. I have heard Professor Eddington, for example, maintain that proof, as pure mathematicians understand it, is really quite uninteresting and unimportant, and that no one who is really certain that he has found something good should waste his time looking for proof.
The mathematicians have been very much absorbed with finding the general solution of algebraic equations, and several of them have tried to prove the impossibility of it. However, if I am not mistaken, they have not as yet succeeded. I therefore dare hope that the mathematicians will receive this memoir with good will, for its purpose is to fill this gap in the theory of algebraic equations.
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