Succession Quotes - page 3
As a Line, I say, is looked upon to be the Trace of a Point moving forward, being in some sort divisible by a Point, and may be divided by Motion one Way, viz. as to Length; so Time may be conceiv'd as the Trace of a Moment continually flowing, having some Kind of Divisibility from an Instant, and from a successive Flux, inasmuch as it can be divided some how or other. And like as the Quantity of a Line consists of but one Length following the Motion; so the Quantity of Time pursues but one Succession stretched out as it were in Length, which the Length of the Space moved over shews and determines. We therefore shall always express Time by a right Line; first, indeed, taken or laid down at Pleasure, but whose Parts will exactly answer to the proportionable Parts of Time, as its Points do to the respective Instants of Time, and will aptly serve to represent them. Thus much for Time.
Isaac Barrow
When... we have a series of values of a quantity which continually diminish, and in such a way, that name any quantity we may, however small, all the values, after a certain value, are severally less than that quantity, then the symbol by which the values are denoted is said to diminish without limit. And if the series of values increase in succession, so that name any quantity we may, however great, all after a certain point will be greater, then the series is said to increase without limit. It is also frequently said, when a quantity diminishes without limit, that it has nothing, zero or 0, for its limit: and that when it increases without limit it has infinity or ∞ or 1⁄0 for its limit.
Augustus De Morgan
It is my firm belief that the only satisfactory test of economics is the ability to predict, and in crucial predictive situations such as reconversion after World War II, the settlement of the Korean War, the settlement of the Vietnam War, the abrupt economic policy switch of the Nixon Administration in August 1972, the oil shock of 1973 (forecast of a world-wide succession by LINK), the recession of 1990. In these crucial periods, econometric models outperformed other approaches, yet there is considerable room for improvement, and that is precisely what is being examined in development of high-frequency models that aim to forecast the economy, every week, every fortnight, or every month, depending on the degree of fineness of the information flow.
Lawrence Klein
I am distressed, almost discouraged, and fatigued to the point of slightly ill... Never have I been so unlucky with the weather. Never three suitable days in succession, so I have to be always making changes [in his paintings] for everything is growing and turning green. And I have dreamed of painting the Creuse [river in the South of France] just as we saw it... In short, by dint of changes I am following Nature without being able to grasp her, and then there is that river that shrinks, swells again, green one day, then yellow, sometimes almost dry, and which tomorrow will be a torrent, after the terrible rain that is falling at the moment. In fact, I am very worried. Write to me; I have a great need of comfort.
Claude Monet
Every artificial excavation-every well and cellar-every cut for a fort, common road, railway, or canal-every quarry-every tunnel through a mountain-and every pit and gallery of a mine bored into the solid earth, furnish means of investigating its interior. Still more do the inland precipices, and the rocky promontories and headlands along the rivers, lakes, seas, and oceans; the naked mountain-sides ribbed with strata, that bound the defiles, gorges, and valleys; the ruins accumulated at the feet of lofty pinnacles and barriers, and those that have been transported and scattered, far and wide, over the earth; present us with striking features of the internal structure of our planet. Most of all, do the inclined strata push up their hard edges, in varied succession, and thus faithfully disclose the form and substance of the deep interior, as it exists many miles and leagues beneath the observer's feet.
Gideon Mantell