We have overcome the notion that mathematical truths have an existence independent and apart from our own minds. It is even strange to us that such a notion could ever have existed.

You are an extremely valuable, worthwhile, significant person even though your present circumstances may have you feeling otherwise.

The most painful thing about mathematics is how far away you are from being able to use it after you have learned it.

Words of wisdom are spoken by children at least as often as scientists.

The infinite in mathematics is alway unruly unless it is properly treated.

It is hard to know what you are talking about in mathematics, yet no one questions the validity of what you say. There is no other realm of discourse half so queer.

The Theory of Groups is a branch of mathematics in which one does something to something and then compares the result with the result obtained from doing the same thing to something else, or something else to the same thing.

We have overcome the notion that mathematical truths have an existence independent and apart from our own minds. It is even strange to us that such a notion could ever have existed.

It is living and ceasing to live that are imaginary solutions. Existence is elsewhere.

But the way people commonly use the word nowadays it means something all of whose parts are mutually interdependent - not only for their mutual action, but for their meaning and for their existence.

The problem with allowing God a role in the history of life is not that science would cease, but rather that scientists would have to acknowledge the existence of something important which is outside the boundaries of natural science.

And, moreover, it is art in its most general and comprehensive form that is here discussed, for the dialogue embraces everything connected with it, from its greatest object, the state, to its least, the embellishment of sensuous existence.

Your paradigm is so intrinsic to your mental process that you are hardly aware of its existence, until you try to communicate with someone with a different paradigm.

I'm not sure how aware of the rest of the world I am. I live a rather sheltered existence.

The more unintelligent a man is, the less mysterious existence seems to him.

She made the decision that her existence had lost its meaning. And you cannot judge that.

Progress is measured by richness and intensity of experience - by a wider and deeper apprehension of the significance and scope of human existence.

Creation destroys as it goes, throws down one tree for the rise of another. But ideal mankind would abolish death, multiply itself million upon million, rear up city upon city, save every parasite alive, until the accumulation of mere existence is swollen to a horror.

Dualists hold that body and soul are separate entities and that the soul will continue beyond the existence of the physical body.

Fix reason firmly in her seat, and call to her tribunal every fact, every opinion. Question with boldness even the existence of a God; because, if there be one, he must more approve of the homage of reason, than that of blindfolded fear.

The police are the public and the public are the police; the police being only members of the public who are paid to give full time attention to duties which are incumbent on every citizen in the interests of community welfare and existence.

In this possibly terminal phase of human existence, democracy and freedom are more than just ideals to be valued - they may be essential to survival.

In the usual progress of things, the necessities of a nation in every stage of its existence will be found at least equal to its resources.

Universities are the cathedrals of the modern age. They shouldn't have to justify their existence by utilitarian criteria.

Behind me the branches of a wasted and sterile existence are cracking.

The best argument I know for an immortal life is the existence of a man who deserves one.

No cause is left but the most ancient of all, the one, in fact, that from the beginning of our history has determined the very existence of politics, the cause of freedom versus tyranny.

Whatever is referred to must exist. Let us call this the axiom of existence.

Now it would be as absurd to deny the existence of God, because we cannot see him, as it would be to deny the existence of the air or wind, because we cannot see it.

As the existence of a corps of professors of mathematics is peculiar to our navy, as well as an apparent, perhaps a real, anomaly, some account of it may be of interest.

Analysis brings no curative powers in its train; it merely makes us conscious of the existence of an evil, which, oddly enough, is consciousness.

A vast abortion industry, generating some half a billion dollars annually, sprang into existence in the wake of Roe and Doe.

Thought is more important than art. To revere art and have no understanding of the process that forces it into existence, is finally not even to understand what art is.

I do not believe in God; his existence has been disproved by Science. But in the concentration camp, I learned to believe in men.

Lesbian existence comprises both the breaking of a taboo and the rejection of a compulsory way of life. It is also a direct or indirect attack on the male right of access to women.

Once you accept the existence of God - however you define him, however you explain your relationship to him - then you are caught forever with his presence in the center of all things.

Ideology... is indispensable in any society if men are to be formed, transformed and equipped to respond to the demands of their conditions of existence.

Each and every day, Israel's very existence is at stake.

When I recall today my early youth, I should take the boy that I then was, with the exception of a few individual features, for a different person, were it not for the existence of the chain of memories.

The light that radiates from the great novels time can never dim, for human existence is perpetually being forgotten by man and thus the novelists discoveries, however old they may be, will never cease to astonish.

The novel doesn't come into existence until certain methods of reproducing fiction come along.

Certainly the existence of these huge nuclear force was important for the ultimate confrontation, let's say, over western Europe. You just can't use them to deal with a situation like Afghanistan.

To advocate a New Order was to seek freedom and respect for peoples without prejudice, and to seek a stable basis for the existence all peoples, equally, and free of threats.

The particular features of the photographic method of detecting atomic particles enabled us to establish the existence of transient forms of matter which had escaped recognition by other methods.

Playing a fashion designer could be the bane of my existence because I am married to a fashion designer.

The whole conviction of my life now rests upon the belief that loneliness, far from being a rare and curious phenomenon, peculiar to myself and to a few other solitary men, is the central and inevitable fact of human existence.

Money is to my social existence what health is to my body.

I photograph the things that I do not wish to paint, the things which already have an existence.

The theory of evolution by cumulative natural selection is the only theory we know of that is in principle capable of explaining the existence of organized complexity.