Method Quotes - page 29
On the one hand, the student has been informed by some writers that the only certain way lies in the use of the entropy-function and the thermodynamic potentials; on the other hand, he is told with equal authority that the method used by the original investigators has been the consideration of cyclic processes, and that the former method is nothing but a mathematical (perhaps unnecessary) refinement of the results obtained by the latter. These extreme attitudes appear to me to be unfortunate, and more especially when one observes the physical clearness introduced by the use of cyclic processes, but at the same time remembers that most of the results obtained by separate investigators using cyclic processes had, with a great many more, previously been found by J. Willard Gibbs by means of a purely analytical method.
J. R. Partington
The method applied by Newton to the grounding of the Infinitesimal Calculus, and which since the beginning of this century has been recognised by the best mathematicians as the only one that furnishes sure results, is the method of limits. The method consists in this, viz., instead of considering a continuous transition from one value of a quantity to another, from one position to another, or, speaking generally, from one determination of a concept to another, one considers in the first place a transition through a finite number of intervals and then allows the number of these intervals to increase so that the distances of two successive points of division all decrease infinitely.
Bernhard Riemann
As is known, scientific physics dates its existence from the discovery of the differential calculus. Only when it was learned how to follow continuously the course of natural events, attempts, to construct by means of abstract conceptions the connection between phenomena, met with success. To do this two things are necessary: First, simple fundamental concepts with which to construct; second, some method by which to deduce, from the simple fundamental laws of the construction which relate to instants of time and points in space, laws for finite intervals and distances, which alone are accessible to observation.
Bernhard Riemann
Zend-Avesta, a truly life giving word creating new life in knowledge as in faith! ...As Fechner in his Nanna sought to show that plants have souls, so the point of departure of his contemplations in the Zend-Avesta is the doctrine that the stars have souls. The method he employs is not that of the abstraction of general laws by induction and the application and testing of these in the explanation of nature, it is analogy. He compares the earth with our own organism, which we know to be endowed with a soul. He searches out not merely in a one-sided way the similarities, but does equal justice to the dissimilarities, too, and so arrives at the conclusion that all the former show the earth to be a being with a soul, and that all the latter indicate that it is a being with a soul far higher than our own.
Bernhard Riemann
MAJOR URWICK and Dr. Metcalf have rendered a conspicuous service by editing this collection of Mary Follett's lectures on business management. They contain teaching which was of importance when the lectures were delivered, and which many people felt should be preserved in a collated form and given a wider public. The circumstances of today have increased that importance. Many people are being called upon to fill new administrative posts, and these lectures teach the principles which should underly all administrative method.
Seebohm Rowntree
We may also observe, that, upon these occasions, the female Nimrods dispensed with the method of riding best suited to the modesty of the sex, and sat astride on the saddle like the men; but this indecorous custom, I trust, was never general, nor of long continuance, even with the heroines who were most delighted with these masculine exercises. An author of the seventeenth century speaks of another fashion, adopted by the fair huntresses of the town of Bury in Suffolk. "The Bury ladies," says he, "that used hawking and hunting, were once in a great vaine of wearing breeches," which it seems gave rise to many severe and ludicrous sarcasms. The only argument in favour of this habit, was decency in case of an accident. But in a manner more consistent with the delicacy of the sex, that is, by refraining from those dangerous recreations.
Joseph Strutt
When terms... evolve and change definition with time; and when the social reality which terms are intended to organize and render intelligible is also seen to be in flux, capturing the truth in a net of words becomes a matter of intuition and style more than of any scientific method that can be replicated by others and made to achieve the same result every time someone asks the same question, or undertakes the same operations.
William H. McNeill
Two main lines are readily distinguished. One already well developed in the hands of von Bertalanffy and his co-workers, takes the world as we find it, examines the various systems that occur in it - zoological, physiological, and so on - and then draws up statements about the regularities that have been observed to hold. This method is essentially empirical. The second method is to start at the other end. Instead of studying first one system, then a second, then a third, and so on, it goes to the other extreme, considers the set of all conceivable systems and then reduces the set to a more reasonable size. This is the method I have recently followed.
W. Ross Ashby
Cybernetics is likely to reveal a great number of interesting and suggestive parallelisms between machine and brain and society. And it can provide the common language by which discoveries in one branch can readily be made use of in the others... [There are] two peculiar scientific virtues of cybernetics that are worth explicit mention. One is that it offers a single vocabulary and a single set of concepts suitable for representing the most diverse types of system... The second peculiar virtue of cybernetics is that it offers a method for the scientific treatment of the system in which complexity is outstanding and too important to be ignored. Such systems are, as we well know, only too common in the biological world!
W. Ross Ashby
The method of exhaustion was not discovered all at once; we find traces of gropings after such a method before it was actually evolved. It was perhaps Antiphon. the sophist, of Athens, a contemporary of Socrates, who took the first step. He inscribed a square (or, according to another account, a triangle) in a circle, then bisected the arcs subtended by the sides, and so inscribed a polygon of double the number of sides; he then repeated the process, and maintained that, by continuing it, we should at last arrive at a polygon with sides so small as to make the polygon coincident with the circle. Thought this was formally incorrect, it nevertheless contained the germ of the method of exhaustion.
Thomas Little Heath
It is a defect in the existing histories that, while they state generally the contents of, and the main propositions proved in, the great treatises of Archimedes and Apollonius, they make little attempt to describe the procedure by which the results are obtained. I have therefore taken pains, in the most significant cases, to show the course of the argument in sufficient detail to enable a competent mathematician to grasp the method used and to apply it, if he will, to other similar investigations.
Thomas Little Heath
That is the central idea of our current tradition. It is the idealization of the mass and the negation of the individual; its panacea, its method of realization, is political direction; its goal, as always, is the undefined Good Society... The aim of pedagogy today is not to prepare the individual for his own enjoyment of life, but to enable him to better serve the mass machine; the psychologist makes adjustment to mass-thought the measure of healthy thinking and living; jurisprudence puts social responsibility ahead of individual responsibility; the concern of the scientist in the discovery of principles is secondary to his preoccupation with mass production; the economist studies institutions, not people; and philosophy rejects speculation as to the nature of man or the purpose of life as effort that might better be put to the practical problems of society. Ours is the culture of ‘the all,' rather than ‘the one.
Frank Chodorov
