Expansion Quotes - page 9
For Bréal, semantics was the science the subject matter of which was study of the cause and structure of the processes of changes in meanings of words: expansion and contraction of meanings, transfer of meanings, elevation and degradation of their value, etc.
Such a delineation of semantics as a branch of linguistics is maintained to this day, for all the differences between the various schools in linguistics. Such degree of uniformity is not confined to the definition of semantics alone. Not all authors give such a definition; some of them approach the issue from a different point of view as regards general classification... but all schools of linguistics engage in the study of the meanings of words and their changes. Thus all of them, in one way or another, engage in semantics as understood by Breal.
Adam Schaff
There is no direct observational evidence for the curvature [of space], the only directly observed data being the mean density and the expansion, which latter proves that the actual universe corresponds to the non-statical case. It is therefore clear that from the direct data of observation we can derive neither the sign nor that value of the curvature, and the question arises whether it is possible to represent the observed facts without introducing the curvature at all. Historically the term containing the 'cosmological constant λ' was introduced into the field equations in order to enable us to account theoretically for the existence of a finite mean density in a static universe. It now appears that in the dynamical case this end can be reached without the introduction of λ.
Willem de Sitter
The "universe" is an hypothesis, like the atom, and must be allowed the freedom to have properties and to do things which would be contradictory and impossible for a finite material structure. What we observe are the stars and nebulae constituting "our neighbourhood." All that goes beyond that, in time or in space, or both, is pure extrapolation. The conclusions derived about the expanding universe depend on the assumed homogeneity and isotropy, i. e. on the hypothesis that the observed finite material density and expansion of our neighbourhood are not local phenomena, but properties of the "universe." It is not inconceivable that this hypothesis may at some future stage of the development of science have to be given up, or modified, or at least differently interpreted.
Willem de Sitter
If we put in the details, the singularities of the field, viz. the galactic systems and the stars, we find that there is... a tendency, called gravitation, to decrease the mutual distances of these "singularities." At short distances, within the confines of a galactic system, this second tendency is by far the strongest, and the galactic systems retain their size independent of the expansion or contraction of the universe...
Willem de Sitter
The manner in which time and space are bound up with each other in the four-dimensional continuum is variable. It is difficult to express this variability of the cross-connections between space and time in simple language, and different interpretations of it are possible, corresponding to different mathematical transformations of the fundamental line-element, e. g. a different choice of the variable which we interpret as "time." Perhaps the best way we can express it is by saying that the solution of the field-equations of the theory of relativity shows that there is in the universe a tendency to change its scale, which at the present time results in an expansion, but may perhaps at other times become, or have been, a shrinking. This is true of the grand scale model of the universe.
Willem de Sitter
We... come to the conclusion... that the actual universe is neither the static nor the empty one. It differs so much from both of these that neither can be used as an appropriate grand scale model. We must thus look for other solutions of the general field-equations. On account of the expansion our solution must necessarily be a non-static one, and it must have a finite density. There is only one possible static solution possessing a finite density, viz. our old friend A, but of non-static solutions with finite density there exists a great variety.
Willem de Sitter
It is possible to relegate the epoch of the starting of the expansion to minus infinity, e. g. by using instead of the ordinary time the logarithm of the time elapsed since the beginning. But this is only a mathematical trick. We call zero minus infinity, but that only means that we allow the universe an infinite time to get well started on its course of expansion, but it does not make the time during which anything really happens any longer.
Willem de Sitter
Interiorizing this notion, Tilak then went on to develop fanciful interpretations of Vedic verses so as to make them fit the scenario of a non-Indian, indeed Arctic setting of the oldest layer of Vedic literature. Perfectly innocuous verses about the dawn or the seasons, always read in their natural meaning by one or two hundred generations of Brahmins, were suddenly contrived to reveal references to the Arctic. It is this highly artificial and totally untraditional reading of the Vedic hymns which became and remains the sheet-anchor of Aryan invasion lore in European far-rightist and new-rightist circles. Tilak was no authority on Indo-European expansion history...
Bal Gangadhar Tilak
A question which has long troubled astronomers and physicists is what becomes of the energy that is continually being poured out into space by the sun and the stars. To this question a complete answer is given by the new theory. It is used up, diluted, or degraded, by the expansion of the universe. ...the light travelling through the expanding universe and, so to say, trying to reach a particular star, or stellar system, which is continually receding with great velocity, is losing energy in trying to catch up with it. It is this degradation of the light, technically known as the redshift of the spectral lines, by which we become aware of the receding velocities of the extra-galactic nebulae. It can be shown that the decrease of the total amount of radiant energy in the universe by this degradation exceeds the increase by the radiation of the stars. It would not be correct, however, to conclude that the expansion is caused by the energy thus lost by the radiation...
Willem de Sitter
It sounds rather strange to talk of an infinite universe still expanding. If we were certain that the curvature was negative, we might still, as in the case of positive curvature, replace the phrase "the universe expands" by the equivalent one "the curvature of the universe decreases." But if the curvature is zero, and remains zero throughout, what sort of meaning are we to attach to the "expansion"? The real meaning is, of course, that the mutual distances between the galactic systems, measured in so-called natural measure, increase proportionally to a certain quantity R appearing in the equations, and varying with the time. The interpretation of R as the "radius of curvature" of the universe, though still possible if the universe has a curvature, evidently does not go down to the fundamental meaning of it.
Willem de Sitter
Contrary to what is sometimes claimed in the press, there are many fine historians in India. From my own generation of scholars, I can strongly recommend - to student and lay reader alike - the work of Upinder Singh on ancient India, of Nayanjot Lahiri on the history of archaeology, of Vijaya Ramaswamy on the bhakti movement, of Sanjay Subrahmanyam on the early history of European expansion, of Chetan Singh on the decline of the Mughal State, of Sumit Guha on the social history of Western India, of Seema Alavi on the social history of medicine, of Niraja Gopal Jayal on the history of citizenship, of Tirthankar Roy on the economic consequences of colonialism, of Mahesh Rangarajan on the history of forests and wildlife, and of A. R. Venkatachalapathy on South Indian cultural history.
Ramachandra Guha
The greatest misunderstandings occur as to the aims of scientific management. Its fundamental aim is the elimination of waste, the attainment of worth-while desired results with the least necessary amount of time and effort. Scientific management may, and often does, result in expansion, but its primary aim is conservation and savings, making an adequate use of every ounce of energy of any type that is expended.
Frank Bunker Gilbreth, Sr.
Instead the economy is a subsystem of the finite biosphere that supports it. When the economy's expansion encroaches too much on the surrounding biosphere, we begin to sacrifice natural capital (animals, plants, minerals and fossil fuels) that is worth more than the manmade capital (roads, factories, appliances) added by ‘growth'.
Herman E. Daly
When credit is expanding, the rising price level and high profits bring about a high rate of interest. When the expansion has reached, the limit permitted by the stock of gold, the rate of interest is put still higher in order to bring about a fall in the price level. When the fall in prices takes effect, a low rate of interest becomes appropriate, and when credit contraction has proceeded so far that a redundant supply of gold has accumulated, the rate of interest is depressed still lower in order to bring about a renewed rise in the price level. Thus a high rate of interest corresponds first with rising, then with falling, prices, and so synchronizes with high prices. A low rate of interest corresponds first with falling, and then with rising, prices, and so synchronizes with low prices.
Ralph George Hawtrey
His action which changed the course of Indian politics was implementation of a 10-year-old report advocating quotas in jobs and educational opportunities for those known as Other Backward Castes (OBCs).... This action is seen as having been responsible for the rapid expansion of parties based on caste, particularly in northern India, although caste already played an important role in politics.
V. P. Singh
