Quotes of All Topics . Occasions . Authors
Numerical logistic is that which employs numbers; symbolic logistic that which uses symbols, as, say, the letters of the alphabet.
If you wish to learn swimming you have to go into the water and if you wish to become a problem solver you have to solve problems.
The pendulum of mathematics swings back and forth towards abstraction and away from it with a timing that remains to be estimated.
If you have a clear idea of a soul, you will have a clear idea of a form; for it is of the same genus, though a different species.
If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living.
Geometry existed before the creation. It is co-eternal with the mind of God...Geometry provided God with a model for the Creation.
As a graduate student at Harvard, I had to explain quite a few times that I was allowed to attend a university as a woman in Iran.
As a kid, I dreamt of becoming a writer. My most exciting pastime was reading novels; in fact, I would read anything I could find.
The world of ideas is not revealed to us in one stroke; we must both permanently and unceasingly recreate it in our consciousness.
Aside from all that, we recall that antibodies to malaria and other diseases prevalent in Africa show up as HIV-positive on tests.
The scandal of education is that every time you teach something, you deprive a [student] of the pleasure and benefit of discovery.
What exactly is mathematics? Many have tried but nobody has really succeeded in defining mathematics; it is always something else.
The slicing technique from Flatland still remains one of the most powerful tools for dealing with aggregates in higher dimensions.
The scientific discovery appears first as the hypothesis of an analogy; and science tends to become independent of the hypothesis.
You cannot evade quantity. You may fly to poetry and music, and quantity and number will face you in your rhythms and your octaves.
I feel that what mathematics needs least are pundits who issue prescriptions or guidelines for presumably less enlightened mortals.
Clarity of mind means clarity of passion, too; this is why a great and clear mind loves ardently and sees distinctly what it loves.
Nothing is as approved as mediocrity, the majority has established it and it fixes its fangs on whatever gets beyond it either way.
It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting immortality from the other sciences.
The lack of real contact between mathematics and biology is either a tragedy, a scandal or a challenge, it is hard to decide which.
There is no way in which a simple substance could begin in the course of nature, since it cannot be formed by means of compounding.
Mathematical high culture collides with pop culture and all hell breaks loose! Harris takes us on a wild ride--never a dull moment!
It is by logic that we prove, but by intuition that we discover. To know how to criticize is good, to know how to create is better.
To someone who could grasp the Universe from a unified standpoint the entire creation would appear as a unique truth and necessity.
It seems to me that a Christian like myself is presented with major problems, but they're nothing like the problems of the atheist.
Order and reason, beauty and benevolence, are characteristics and conceptions which we find solely associated with the mind of man.
It is a wry commentary on the value-system in the United States that one speaks there of "teacher training" and "driver education."
Every organism requires an environment of friends, partly to shield it from violent changes, and partly to supply it with its wants.
It is a safe rule to apply that, when a mathematical or philosophical author writes with a misty profundity, he is talking nonsense.
The multitude which is not brought to act as a unity, is confusion. That unity which has not its origin in the multitude is tyranny.
A young man passes from our public schools to the universities, ignorant almost of the elements of every branch of useful knowledge.
It is a good thing to proceed in order and to establish propositions. This is the way to gain ground and to progress with certainty.
My work always tried to unite the true with the beautiful, but when I had to choose one or the other, I usually chose the beautiful.
If men are wont to play with swearing anywhere, can we expect they should be serious and strict therein at the bar or in the church.
Astronomy is not the apex of science or of invention. But it is a test of the cast of temperament and mind that underlies a culture.
The self-regulating mechanism of the market place cannot always be depended upon to produce adequate results in scientific research.
...for a long time I wanted to become a theologian... now, however, behold how through my efforts God is being debated in astronomy.
I usually have a very clear idea of where I want a song to go, sometimes very specific notes, but I'm generally open to suggestions.
I don't think that everyone should become a mathematician, but I do believe that many students don't give mathematics a real chance.
Moreover, since the sun remains stationary, whatever appears as a motion of the sun is really due rather to the motion of the earth.
One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories.
I think Disney is a very interesting company, and it does have an extremely powerful means for projecting a certain way of thinking.
... the atlas is a manifold. This is a typical mathematician's use of the word "is", and should not be confused with the normal use.
As far as design theorists are concerned, theistic evolution is American evangelicalism's ill-conceived accommodation to Darwinism .
Each generation criticizes the unconscious assumptions made by its parent. It may assent to them, but it brings them out in the open.
The physical doctrine of the atom has got into a state which is strongly suggestive of the epicycles of astronomy before Copernicus .
The Astronomer's Drinking Song Astronomers! What can avail Those who calumniate us; Experiment can never fail With such an apparatus.
All men have happiness as their object: there is no exception. However different the means they employ, they all aim at the same end.
The majority is the best way, because it is visible, and has strength to make itself obeyed. Yet it is the opinion of the least able.
It is a dangerous experiment to call in gratitude as an ally to love. Love is a debt which inclination always pays, obligation never.