Probably no branch of mathematics has experienced a more surprising growth than has... topology... Considered as a most specialized and abstract subject in the early 1920's, it is today [1938] an indispensable equipment for the investigation of modern mathematical theories.
Intense interest in any subject is indispensable if you're really going to excel in it.
A city's art must give the impression that art is as indispensable a thing as water, or food.
An indispensable hypothesis, even though still far from being a guarantee of success, is however the pursuit of a specific aim, whose lighted beacon, even by initial failures, is not betrayed.
The constant habit of perusing devout books is so indispensable, that it has been termed the oil of the lamp of prayer. Too much reading, however, and too little meditation, may produce the effect of a lamp inverted; which is extinguished by the very excess of that ailment, whose property is to feed it.
Community, then, is an indispensable term in any discussion of the connection between people and land. A healthy community is a form that includes all the local things that are connected by the larger, ultimately mysterious form of the Creation. In speaking of community, then, we are speaking of a complex connection not only among human beings or between humans and their homeland but also between human economy and nature, between forest or prairie and field or orchard, and between troublesome creatures and pleasant ones. All neighbors are included.
Generalization is necessary to the advancement of knowledge; but particularity is indispensable to the creations of the imagination.
Generalization is necessary to the advancement of knowledge; but particularly is indispensable to the creations of the imagination. In proportion as men know more and think more they look less at individuals and more at classes. They therefore make better theories and worse poems.
Every work of art has one indispensable mark ... the center of it is simple, however much the fulfillment may be complicated.
If people insist that honor is dearer than life itself, what they really mean is that existence and well-being are as nothing compared with other people's opinions. Of course, this may be only an exaggerated way of stating the prosaic truth that reputation, that is, the opinion others have of us, is indispensable if we are to make any progress in the world.
Culture is an indispensable weapon in the freedom struggle.
Only perhaps in the United States, which alone of countries can do without governing,every man being at least able to live, and move off into the wilderness, let Congress jargon as it will,can such a form of so-called Government continue for any length of time to torment men with the semblance, when the indispensable substance is not there.
For me, America is really, truly the indispensable nation.
I think that there is never an indispensable leader, you know? I think that there is a time with dignity that one needs to leave.
There is no indispensable man. The government will not collapse and go to pieces if any one of the gentlemen who are seeking to be entrusted with its guidance should be left at home.
There is a limit to the legitimate interference of collective opinion with individual independence: and to find that limit, and maintain it against encroachment, is as indispensable to a good condition of human affairs, as protection against political despotism.
I don't think that the permanence of the individual human soul is an indispensable part of religious thought.
The legislator is an indispensable guardian of our freedom. It is true that great executives have played a powerful role in the development of civilization, but such leaders appear sporadically, by chance. They do not always appear when they are most needed. The great executives have given inspiration and push to the advancement of human society, but it is the legislator who has given stability and continuity to that slow and painful progress.
Our military offensive is indispensable, since force must be met by force. But our social offensive is the extra weapon which the enemy cannot produce. Here the enemy meets democracy's strongest element-the ability to realize and satisfy the needs of its people without taking from them their freedom and dignity as human beings.
Prayer is not a vain attempt to change God's will; it is a filial desire to learn God's will and to share it. Prayer is not a substitute for work: it is the secret spring and indispensable ally of all true work.
The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method-more daring than anything that the history of philosophy records-of Lobachevsky and Riemann, Gauss and Sylvester. Indeed, mathematics, the indispensable tool of the sciences, defying the senses to follow its splendid flights, is demonstrating today, as it never has been demonstrated before, the supremacy of the pure reason.
Libraries can be of indispensable service in lifting the dead weight of poverty and ignorance.
In the end, the humanities can only be defended by stressing how indispensable they are; and this means insisting on their vital role in the whole business of academic learning, rather than protesting that, like some poor relation, they don't cost much to be housed.
Hypotheses are the scaffolds which are erected in front of a building and removedd when the building is completed. They are indispensable to the worker; but the worker must not mistake the scaffolding for the building.
One of the main purpose of art has ever been that of making its indispensable contribution to the growth of entropy of the universal stupidity.
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