A Quote by James Clerk Maxwell
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. Poinsôt 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.
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It is the invaluable merit of the great Basle mathematician Leonard Euler, to have freed the analytical calculus from all geometric bounds, and thus to have established analysis as an independent science, which from his time on has maintained an unchallenged leadership in the field of mathematics.
In the last analysis, the individual person is responsible for living his own life and for 'finding himself.' If he persists in shifting his responsibility to somebody else, he fails to find out the meaning of his own existence.
One interesting feature of criticism is seen in the ease with which it discovers what Addison called the specific quality of an author. In Livy, it will be the manner of telling the story; in Sallust, personal identification with the character; in Tacitus, the analysis of the deed into its motive. If the same test be applied to painters, it will find the prominent faculty of Correggio to be manifested in harmony of effect; of Poussin, in the sentiment of his landscapes; and of Raffaelle, in the general comprehension of his subject.
The effects of heat are subject to constant laws which cannot be discovered without the aid of mathematical analysis. The object of the theory is to demonstrate these laws; it reduces all physical researches on the propagation of heat, to problems of the integral calculus, whose elements are given by experiment. No subject has more extensive relations with the progress of industry and the natural sciences; for the action of heat is always present, it influences the processes of the arts, and occurs in all the phenomena of the universe.
Man had in the beginning no power of analysis or synthesis approaching that of the spider, or even of the honey-bee; he had acute sensibility to the higher forces. Fire taught him secrets that no other animal could learn; running water probably taught him even more, especially in his first lessons of mechanics; the animals helped to educate him, trusting themselves into his hands merely for the sake of their food, and carrying his burdens or supplying his clothing; the grasses and grains were academies of study.
Where these reduced (operational - E.W.) concepts govern the analysis of the human reality, individual or social, mental or material, they arrive at a false concreteness - a concreteness isolated from the conditions which constitute its reality. In this context, the operational treatment of the concept assumes a political function. The individual and his behavior are analyzed in a therapeutic sense - adjustment to his society. Thought and expression, theory and practice are to be brought in line with the facts of his existence without leaving room for the conceptual critique of these facts.
The person who did most to give to analysis the generality and symmetry which are now its pride, was also the person who made mechanics analytical; I mean Euler.
Man is more than his environment. It is from the innate quality of the Spirit in him, his inner storehouse, that he draws those ideas, his intuitions, which unify his perceptions of the external world instantaneously with a value which is qualitative and not quantitative, and which he embodies in the works of his culture - those achievements which belong not only to one particular time but to all times, and mark the path of his upward progress.
In obedience to the feeling of reality, we shall insist that, in the analysis of propositions, nothing "unreal" is to be admitted. But, after all, if there is nothing unreal, how, it may be asked, could we admit anything unreal? The reply is that, in dealing with propositions, we are dealing in the first instance with symbols, and if we attribute significance to groups of symbols which have no significance, we shall fall into the error of admitting unrealities, in the only sense in which this is possible, namely, as objects described.
In bullfighting there is an interesting parallel to the pause as a place of refuge and renewal. It is believed that in the midst of a fight, a bull can find his own particular area of safety in the arena. There he can reclaim his strength and power. This place and inner state are called his querencia. As long as the bull remains enraged and reactive, the matador is in charge. Yet when he finds his querencia, he gathers his strength and loses his fear. From the matador's perspective, at this point the bull is truly dangerous, for he has tapped into his power.
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 greater the scientist, the more he is impressed with his ignorance of reality, and the more he realizes that his laws and labels, descriptions and definitions, are the products of his own thought. They help him to use the world for purposes of his own devising rather than understand and explain it.
I was appalled to find that the mathematical notation on which I had been raised failed to fill the needs of the courses I was assigned, and I began work on extensions to notation that might serve. In particular, I adopted the matrix algebra used in my thesis work, the systematic use of matrices and higher-dimensional arrays (almost) learned in a course in Tensor Analysis rashly taken in my third year at Queen's, and (eventually) the notion of Operators in the sense introduced by Heaviside in his treatment of Maxwell's equations.
First of all, although men have a common destiny, each individual also has to work out his own personal salvation for himself in fear and trembling. We can help one another to find the meaning of life no doubt. But in the last analysis, the individual person is responsible for living his own life and for "finding himself." If he persists in shifting his responsibility to somebody else, he fails to find out the meaning of his own existence. You cannot tell me who I am and I cannot tell you who you are. If you do not know your own identity, who is going to identify you?
During the two centuries since the publication of 'The Wealth of Nations,' the main activity of economists, it seems to me, has been to fill the gaps in Adam Smith's system, to correct his errors and to make his analysis vastly more exact.
All that is limited by form, semblance, sound, color is called object. Among them all, man alone is more than an object. Though, like objects, he has form and semblance, He is not limited to form. He is more. He can attain to formlessness. When he is beyond form and semblance, beyond "this" and "that," where is the comparison with another object? Where is the conflict? What can stand in his way? He will rest in his eternal place which is no-place. He will be hidden in his own unfathomable secret. His nature sinks to its root in the One. His vitality, his power hide in secret Tao.
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