Quotes on Arithmetic

Music is the arithmetic of sounds as optics is the geometry of light.

What vexes me most is, that my female friends, who could bear me very well a dozen years ago, have now forsaken me, although I am not so old in proportion to them as I formerly was: which I can prove by arithmetic, for then I was double their age, which now I am not. Letter to Alexander Pope. 7 Feb. 1736.

There are millions of chords. There are millions of numbers. And everyone forgets the one that is a zero. But without the zero, numbers are just arithmetic. Without the empty chord, music is just noise.

There still remain three studies suitable for free man. Arithmetic is one of them.

Manners are like zero in arithmetic. They may not be much in themselves, but they are capable of adding a great deal of value to everything else.

...imagine what you are writing about. See it and live it. Do not think it up laboriously, as if you were working out mental arithmetic. Just look at it, touch it, smell it, listen to it, turn yourself into it. When you do this, the words look after themselves, like magic.

As agonizing a disease as cancer is, I do not think it can be said that our civilization is threatened by it. ... But a very plausible case can be made that our civilization is fundamentally threatened by the lack of adequate fertility control. Exponential increases of population will dominate any arithmetic increases, even those brought about by heroic technological initiatives, in the availability of food and resources, as Malthus long ago realized.

Do we really need school? I don't mean education, just forced schooling: six classes a day, five days a week, nine months a year, for twelve years. Is this deadly routine really necessary? And if so, for what? Don't hide behind reading, writing, and arithmetic as a rationale, because 2 million happy homeschoolers have surely put that banal justification to rest.

Science will never be able to reduce the value of a sunset to arithmetic. Nor can it reduce friendship to formula. Laughter and love, pain and loneliness, the challenge of beauty and truth: these will always surpass the scientific mastery of nature.

The hardest arithmetic to master is that which enables us to count our blessings.

History must share with reading, writing and arithmetic first rank as the most important subjects in the curriculum. Understanding the issues on which citizens of a republic are expected to vote is impossible without an understanding of the past.

At the Egyptian city of Naucratis there was a famous old god whose name was Theuth; the bird which is called the Ibis was sacred to him, and he was the inventor of many arts, such as arithmetic and calculation and geometry and astronomy and draughts and dice, but his great discovery was the use of letters.

Mathematics is the queen of sciences and number theory is the queen of mathematics. She often condescends to render service to astronomy and other natural sciences, but in all relations she is entitled to the first rank.

So if the worth of the arts were measured by the matter with which they deal, this art-which some call astronomy, others astrology, and many of the ancients the consummation of mathematics-would be by far the most outstanding. This art which is as it were the head of all the liberal arts and the one most worthy of a free man leans upon nearly all the other branches of mathe matics. Arithmetic, geometry, optics, geodesy, mechanics, and whatever others, all offer themselves in its service.

The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic.

The composer opens the cage door for arithmetic, the draftsman gives geometry its freedom.

It was never factually true that young people learn to read or do arithmetic primarily by being taught these things. These things are learned, but not really taught at all. Over-teaching interferes with learning, although the few who survive it may well come to imagine it was by an act of teaching.

So maybe part of our formal education should be training in empathy. Imagine how different the world would be if, in fact, that were 'reading, writing, arithmetic, empathy.'

Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin. For, as has been pointed out several times, there is no such thing as a random number - there are only methods to produce random numbers, and a strict arithmetic procedure of course is not such a method.

Erudition - that is, reading, writing, and arithmetic - is taught in the schools; but where is the more important quality, character, taught? Nowhere in particular. There is no authorized training for children in character.

I do know the sorrow of being ordinary, and that much of our life is spent doing the crazy mental arithmetic of how, at any given moment, we might improve, or at least disguise or present our defects and screw-ups in either more charming or more intimidating ways.