When a truth is necessary, the reason for it can be found by analysis, that is, by resolving it into simpler ideas and truths until the primary ones are reached. It is this way that in mathematics speculative theorems and practical canons are reduced by analysis to definitions, axioms and postulates.
The division of the psychical into what is conscious and what is unconscious is the fundamental premise of psycho-analysis; and it alone makes it possible for psycho-analysis to understand the pathological processes in mental life, which are as common as they are important, and to find a place for them in the framework of science.
One effect of benefit-cost analysis is to give any respectable engineer or economist a means for justifying almost any kind of project the national government wants to justify... Exclusive reliance on benefit-cost analysis has been one of the greatest threats to wise decisions in water development.
Gilbert F. White
The spider-mind acquires a faculty of memory, and, with it, a singular skill of analysis and synthesis, taking apart and putting together in different relations the meshes of its trap. Man had in the beginning no power of analysis or synthesis approaching that of the spider, or even of the honey-bee; but he had acute sensibility to the higher forces.
Sales is a constant state of information gathering and analysis. There are numerous factors that will affect your sale - from market position, to manufacturing capacity, to a seemingly harmless tidbit of information received over lunch. The more quality information you have, the better your analysis, and the better your sales results will be.
What psycho-analysis reveals in the transference phenomena of neurotics can also be observed in the lives of some normal people. The impression they give is of being pursued by a malignant fate or possessed by some 'daemonic' power; but psycho-analysis has always taken the view that their fate is for the most part arranged by themselves and determined by early infantile influences.
Take nothing for granted as beautiful or ugly, but take every building to pieces, and challenge every feature. Learn to distinguish the curious from the beautiful. Get the habit of analysis - analysis will in time enable synthesis to become your habit of mind. 'Think simples' as my old master used to say - meaning to reduce the whole of its parts into the simplest terms, getting back to first principles.
Frank Lloyd Wright
Accordingly, we find Euler and D'Alembert devoting their talent and their patience to the establishment of the laws of rotation of the solid bodies. Lagrange has incorporated his own analysis of the problem with his general treatment of mechanics, and since his time M. Poinsot has brought the subject under the power of a more searching analysis than that of the calculus, in which ideas take the place of symbols, and intelligent propositions supersede equations.
James Clerk Maxwell
In fact, the science of thermodynamics began with an analysis, by the great engineer Sadi Carnot, of the problem of how to build the best and most efficient engine, and this constitutes one of the few famous cases in which engineering has contributed to fundamental physical theory. Another example that comes to mind is the more recent analysis of information theory by Claude Shannon. These two analyses, incidentally, turn out to be closely related.
Richard P. Feynman
Millions of people never analyze themselves. Mentally they are mechanical products of the factory of their environment, preoccupied with breakfast, lunch, and dinner, working and sleeping, and going here and there to be entertained. They don't know what or why they are seeking, nor why they never realize complete happiness and lasting satisfaction. By evading self-analysis, people go on being robots, conditioned by their environment. True self-analysis is the greatest art of progress.
Philosophy, like science, consists of theories or insights arrived at as a result of systemic reflection or reasoning in regard to the data of experience. It involves, therefore, the analysis of experience and the synthesis of the results of analysis into a comprehensive or unitary conception. Philosophy seeks a totality and harmony of reasoned insight into the nature and meaning of all the principal aspects of reality.
Joseph Alexander Leighton
Paraphrase, in the sense of summary, is as indispensable to the novel-critic as close analysis is to the critic of lyric poetry. The natural deduction is that novels are paraphrasable whereas poems are not. But this is a false deduction because close analysis is itself a disguised form of paraphrase.
As in Mathematicks, so in Natural Philosophy, the Investigation of difficult Things by the Method of Analysis, ought ever to precede the Method of Composition. This Analysis consists in making Experiments and Observations, and in drawing general Conclusions from them by Induction, and admitting of no Objections against the Conclusions, but such as are taken from Experiments, or other certain Truths. For Hypotheses are not to be regarded in experimental Philosophy.
The analytic psychotherapist thus has a threefold battle to wage -- in his own mind against the forces which seek to drag him down from the analytic level; outside the analysis, against opponents who dispute the importance he attaches to the sexual instinctual forces and hinder him from making use of them in his scientific technique; and inside the analysis, against his patients, who at first behave like opponents but later on reveal the overvaluation of sexual life which dominates them, and who try to make him captive to their socially untamed passion.
The analysis of the psychological motivations behind certain doctrines or ideas can never be a substitute for a rational judgment of the validity of the doctrine and of the values which it implies, although such analysis may lead to a better understanding of the real meaning of a doctrine and thereby influence one's value judgment. What the psychological analysis of doctrines can show is the subjective motivations which make a person aware of certain problems and make him seek for answers in certain directions. Any kind of thought, true or false, if it is more than a superficial conformance with conventional ideas, is motivated by the subjective needs and interests of the person who is thinking. It happens that some interests are furthered by finding the truth, others by destroying it. But in both cases the psychological motivations are important incentives for arriving at certain conclusions. We can go even further and say that ideas which are not rooted in powerful needs of the personality will have little influence on the actions and on the whole life of the person concerned.
The big picture is: the main thing you should be concerned about in the future are incremental returns on capital going forward. As it turns out, past history of a good return on capital is a good proxy for this but obviously not foolproof. I think this is an area where thoughtful analysis can add value to any simple ranking/screening strategy such as the magic formula. When doing in depth analysis of companies, I care very much about long term earnings power, not necessarily so much about the volatility of that earnings power but about my certainty of "normal" earnings power over time.
Before an experiment can be performed, it must be planned-the question to nature must be formulated before being posed. Before the result of a measurement can be used, it must be interpreted-nature's answer must be understood properly. These two tasks are those of the theorist, who finds himself always more and more dependent on the tools of abstract mathematics. Of course, this does not mean that the experimenter does not also engage in theoretical deliberations. The foremost classical example of a major achievement produced by such a division of labor is the creation of spectrum analysis by the joint efforts of Robert Bunsen, the experimenter, and Gustav Kirchhoff, the theorist. Since then, spectrum analysis has been continually developing and bearing ever richer fruit.
The great masters of modern analysis are Lagrange, Laplace, and Gauss, who were contemporaries. It is interesting to note the marked contrast in their styles. Lagrange is perfect both in form and matter, he is careful to explain his procedure, and though his arguments are general they are easy to follow. Laplace on the other hand explains nothing, is indifferent to style, and, if satisfied that his results are correct, is content to leave them either with no proof or with a faulty one. Gauss is as exact and elegant as Lagrange, but even more difficult to follow than Laplace, for he removes every trace of the analysis by which he reached his results, and studies to give a proof which while rigorous shall be as concise and synthetical as possible.
W.W. Rouse Ball