Over coaching is the worst thing you can do to a player.
What is the difference between method and device? A method is a device which you use twice.
It is clear that the chief end of mathematical study must be to make the students think.
It is interesting thus to follow the intellectual truths of analysis in the phenomena of nature. This correspondence, of which the system of the world will offer us numerous examples, makes one of the greatest charms attached to mathematical speculations.
We could use up two Eternities in learning all that is to be learned about our own world and the thousands of nations that have arisen and flourished and vanished from it. Mathematics alone would occupy me eight million years.
Mathematics began to seem too much like puzzle solving. Physics is puzzle solving, too, but of puzzles created by nature, not by the mind of man.
The moving power of mathematical invention is not reasoning but imagination.
As long as algebra is taught in school, there will be prayer in school.
The tantalizing and compelling pursuit of mathematical problems offers mental absorption, peace of mind amid endless challenges, repose in activity, battle without conflict, refuge from the goading urgency of contingent happenings, and the sort of beauty changeless mountains present to senses tried by the present day kaleidoscope of events.
Mathematics, in the common lay view, is a static discipline based on formulas...But outside the public view, mathematics continues to grow at a rapid rate...the guid to this growth is not calculation and formulas, but an open ended search for pattern.
Mathematics would certainly have not come into existence if one had known from the beginning that there was in nature no exactly straight line, no actual circle, no absolute magnitude.
Mathematics are well and good but Nature keeps dragging us around by the nose.
It is not of the essence of mathematics to be conversant with the ideas of number and quantity.
Nixon's motto was, if two wrongs don't make a right, try three.
I have often admired the mystical way of Pythagoras, and the secret magick of numbers.
A mathematician who is not also something of a poet will never be a complete mathematician.
The Good Lord made all the integers; the rest is man's doing.
The purpose of computing is insight, not numbers.
It should seem that it is easier to square the circle than to get round a mathematician.
If only I had the Theorems! Then I should find the proofs easily enough.
Mathematics is the art of giving the same name to different things. [As opposed to the quotation: Poetry is the art of giving different names to the same thing].
Most people have some appreciation of mathematics, just as most people can enjoy a pleasant tune; and there are probably more people really interested in mathematics than in music. Appearances suggest the contrary, but there are easy explanations. Music can be used to stimulate mass emotion, while mathematics cannot; and musical incapacity is recognized (no doubt rightly) as mildly discreditable, whereas most people are so frightened of the name of mathematics that they are ready, quite unaffectedly, to exaggerate their own mathematical stupidity
Mechanics is the paradise of the mathematical sciences because by means of it one comes to the fruits of mathematics.
Mathematics is concerned with "all possible worlds."
Mathematics, however, is, as it were, its own explanation; this, although it may seem hard to accept, is nevertheless true, for the recognition that a fact is so is the cause upon which we base the proof.
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