![The way in which the universe expands is determined by the variation of this [radius of curvature] R with the time. There are three types, or families, of non-static universes... the oscillating universes, and the expanding universes of the first and of the second kind. ...each of these is a representative of a family, comprising an infinite number of members differing in size and shape. ...In the expanding family of the first kind the radius is continually increasing from... zero... In the expanding series of the second type the radius has at the initial time a certain minimum value, different for the different members of the family. [Both kinds of expanding families] become infinite after an infinite time. (Willem de Sitter)](https://cdn.quotesdtb.com/img/quotes_images_webp/24/willem-de-sitter-certain-960924.webp)
The way in which the universe expands is determined by the variation of this [radius of curvature] R with the time. There are three types, or families, of non-static universes... the oscillating universes, and the expanding universes of the first and of the second kind. ...each of these is a representative of a family, comprising an infinite number of members differing in size and shape. ...In the expanding family of the first kind the radius is continually increasing from... zero... In the expanding series of the second type the radius has at the initial time a certain minimum value, different for the different members of the family. [Both kinds of expanding families] become infinite after an infinite time.
Willem de SitterRelated topics
certain curvature differing different family increasing infinite initial kind minimum number radius representative second series shape size three time type universe value variation way zeroRelated quotes
Democracy is unstable as a political system as long as it remains a political system and nothing more, instead of being, as it should be, not only a form of government but a type of society, and a manner of life which is in harmony with that type. To make it a type of society requires an advance along two lines. It involves, in the first place, the resolute elimination of all forms of special privilege which favour some groups and depress other, whether their source be differences of environment, of education, or of pecuniary income. It involves, in the second place, the conversion of economic power, now often an irresponsible tyrant, into a servant of society, working within clearly defined limits and accountable for its actions to a public authority.
R. H. Tawney
What I have in common with the right hon. Member for Cardiff, South-East (Mr. Callaghan) is that, undeniably, our generation came into Parliament because we were determined to prevent what happened in the 1930s from occurring again and to prevent a breakdown in the social structure and the political institutions that led to the rise of authoritarianism in Europe and finally to the Second World War. That was our determination, and for 25 years, from 1950 to 1975, the people we represented had a better standard of living, bigger and better homes, better education, a better Health Service, better roads and better transport and were able to enjoy holidays such as they had not envisaged before.
Edward Heath
This Government have lived on electoral bribes for six years. They have been floating helplessly down the revolutionary stream, which they have not controlled or guided in any way, snatching now at one electoral advantage and now at another electoral advantage. They have attacked the Crown, they have attacked the Second Chamber, they have bound the Representative Chamber hand and foot; and, having finished their bribes, they are now lapsing into the old Radical practice of destroying Churches, passing what they conceive to be judicious Reform Bills from the gerrymandering point of view, and generally comporting themselves as a Radical Party in difficulties always does comport itself. I do not believe the country will stand it much longer.
Arthur Balfour
That the universe, as was once thought, expands and contracts indefinitely, one Big Bang collapsing into another one, seemed reasonable enough. But in both models of the universe, what caused the first Big Bang? Or was there a first Big Bang, any more than a last number? If there was a first cause, was there a first causer? Did Big Bangs just happen to happen? Can we name the first causer "God”? We can name it anything we want. I can name it after myself. It is utterly insignificant what it is called, because we would be giving a name to something that falls outside all categories of thought and must be unknowable and irrelevant to knowledge. So naming it is a futile enterprise. The word "God” is unhelpful because it implies it has a knowable definition.
Roger Ebert
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
