Analysis Quotes - page 19
In the final analysis the weakness of Black Power is its failure to see that the black man needs the white man and the white man needs the black man. However much we may try to romanticize the slogan, there is no separate black path to power and fulfillment that dies not intersect white paths, and there is no separate white path to power and fulfillment, short of social disaster, that does not share that power with black aspirations for freedom and human dignity. We are bound together in a single garment of destiny. The language, the cultural patterns, the music, the material prosperity, and even the food of America are an amalgam of black and white.
Martin Luther King Jr.
We have already various treatises on Mechanics, but the plan of this one is entirely new. I intend to reduce the theory of this Science, and the art of solving problems relating to it, to general formulae, the simple development of which provides all the equations necessary for the solution of each problem. I hope that the manner in which I have tried to attain this object will leave nothing to be desired. No diagrams will be found in this work. The methods that I explain require neither geometrical, nor mechanical, constructions or reasoning, but only algebraical operations in accordance with regular and uniform procedure. Those who love Analysis will see with pleasure that Mechanics has become a branch of it, and will be grateful to me for having thus extended its domain.
Joseph Louis Lagrange
That is the meaning of love. In the final analysis, love is not this sentimental something that we talk about. It's not merely an emotional something. Love is creative, understanding goodwill for all men. It is the refusal to defeat any individual. When you rise to the level of love, of its great beauty and power, you seek only to defeat evil systems. Individuals who happen to be caught up in that system, you love, but you seek to defeat the system.
Martin Luther King Jr.
In the final analysis, the rich must not ignore the poor because both rich and poor are tied in a single garment of destiny. All life is interrelated, and all men are interdependent. The agony of the poor diminishes the rich, and the salvation of the poor enlarges the rich. We are inevitably our brothers' keeper because of the interrelated structure of reality.
Martin Luther King Jr.
Vladimir Voevodsky and his collaborators have provided us with a very interesting candidate-category of motives: a category (of sheaves relative to an extraordinarily fine Grothendieck-style topology on the category of schemes) which in some intuitive sense "softens algebraic geometry” so as to allow for a good notion of homotopy in an algebro-geometric setup and is sufficiently directly connected to concrete algebraic geometry to have already yielded some extraordinary applications. The quest for a full theory of motives is a potent driving force in complex analysis, algebraic geometry, automorphic representation theory, the study of L functions, and arithmetic. It will continue to be so throughout the current century.
Barry Mazur
What we call objective reality is, in the last analysis, what is common to many thinking beings, and could be common to all; this common part, we shall see, can only be the harmony expressed by mathematical laws. It is this harmony then which is the sole objective reality, the only truth we can attain; and when I add that the universal harmony of the world is the source of all beauty, it will be understood what price we should attach to the slow and difficult progress which little by little enables us to know it better.
Henri Poincaré
Whenever I face a hard decision or a risky situation in life (personally or professionally), all my thinking, all my analysis, all my planning can be boiled down to four simple questions:
1. What is the best thing that can happen if I do this?
2. What is the worst thing that can happen if I do this?
3. What is the best thing that can happen if I don't do it?
4. What is the worst thing that can happen if I don't do it?
Ben Carson
My analysis of the judicial process comes then to this, and little more: logic, and history, and custom, and utility, and the accepted standards of right conduct, are the forces which singly or in combination shape the progress of the law. Which of these forces dominate depends largely upon the comparative importance or value of the social interests that will be thereby promoted or impaired. ... The most fundamental social interest is that law shall be uniform and impartial. ... Uniformity ceases to be a good when it becomes uniformity of oppression.
Benjamin N. Cardozo
The evaluation of one's own social circumstance is part of the analysis of facts and events, and this kind of evaluation is, I feel, as good a starting point of the inquiry into the relations between philosophy and society as any other. Philosophy, in understanding human society, call for an analysis of facts and events, and an attempt to see how they fit into human life, and so how they make up human experience. In this way, philosophy, like history, can come to enrich, indeed to define, the experience of man.
Kwame Nkrumah
![The natural way of doing this [seeking scientific knowledge or explanation of fact] is to start from the things which are more knowable and obvious to us and proceed towards those which are clearer and more knowable by nature; for the same things are not 'knowable relatively to us' and 'knowable' without qualification. So in the present inquiry we must follow this method and advance from what is more obscure by nature, but clearer to us, towards what is more clear and more knowable by nature. Now what is to us plain and obvious at first is rather confused masses, the elements and principles of which became known to us by later analysis... (Aristotle)](https://cdn.quotesdtb.com/img/quotes_images_webp/98/aristotle-advance-analysis-clear-421598.webp)
While I have not lost faith in its potentialities, my views have changed since. War can not be avoided until the physical cause for its recurrence is removed and this, in the last analysis, is the vast extent of the planet on which we live. Only though annihilation of distance in every respect, as the conveyance of intelligence, transport of passengers and supplies and transmission of energy will conditions be brought about some day, insuring permanency of friendly relations. What we now want most is closer contact and better understanding between individuals and communities all over the earth and the elimination of that fanatic devotion to exalted ideals of national egoism and pride, which is always prone to plunge the world into primeval barbarism and strife. No league or parliamentary act of any kind will ever prevent such a calamity. These are only new devices for putting the weak at the mercy of the strong.
Nikola Tesla
If you look at the American army's counterinsurgency literature (a lot of which is now declassified), it begins with an analysis of the German experience in Europe, written with the cooperation of Nazi officers. Everything is described from the point of view of the Nazis-which techniques for controlling resistance worked, which ones didn't. With barely a change, that was transmuted into American counterinsurgency literature.
Noam Chomsky
For having a clear influence on methodologies for the creation of efficient and reliable software, and for helping to found the following important subfields of computer science: the theory of parsing, the semantics of programming languages, automatic program verification, automatic program synthesis, and analysis of algorithms.
Robert Floyd
In general, complexity and precision bear an inverse relation to one another in the sense that, as the complexity of a problem increases, the possibility of analysing it in precise terms diminishes. Thus 'fuzzy thinking' may not be deplorable, after all, if it makes possible the solution of problems which are much too complex for precise analysis.
Lotfi A. Zadeh
The advent of the Computer age has stimulated a rapid expansion in the use of quantitative techniques for the analysis of economic, urban, social, biological and other types of systems in which it is the animate rather than in dominant role. At present, most of the techniques employed for the analysis of humanistic, i.e., human centred systems are adaptations of the methods that have been developed over a long period of time for dealing with mechanistic systems, i.e., physical systems governed in the main by-the laws of mechanics, electromagnetism, and thermodynamics. The remarkable successes of these methods in unraveling the secrets of nature and enabling us to build better and better machines have inspired a widely held belief that the same or similar techniques can be applied with comparable effectiveness to the analysis of humanistic systems.
Lotfi A. Zadeh
[T]he successes of modern control theory in the design of highly accurate space navigation systems have stimulated its use in the theoretical analyses of economic and biological systems. Similarly, the effectiveness of computer simulation techniques in the macroscopic analyses of physical systems has brought into vogue the use of computer-based econometric models for purposes of forecasting, economic planning, arid management.
Lotfi A. Zadeh
![Constructs extraneous to the real world should be eliminated from the analysis model. They may be needed later during design, but not now. For example, CPU subroutine, process, algorithm, and interrupt are implementation constructs for most applications [and should be excluded from the analysis model]... (James Rumbaugh)](https://cdn.quotesdtb.com/img/quotes_images_webp/32/james-rumbaugh-algorithm-analysis-429532.webp)
What surprised me, which Google was part of, is that superficial search techniques over large bodies of stuff could get you what you wanted. I grew up in the AI tradition, where you have a complete conceptual model, and the information retrieval tradition, where you have complex vectors of key terms and Boolean queries. The idea that you can index billions of pages and look for a word and get what you want is quite a trick. To put it in more abstract terms, it's the power of using simple techniques over very large numbers versus doing carefully constructed systematic analysis.
Terry Winograd
