
“Time is not a line but a dimension, like the dimensions of space.”
Cat's Eye (1988)
Source: Black Holes and Baby Universes
“Time is not a line but a dimension, like the dimensions of space.”
Cat's Eye (1988)
The sphere as a whole has a character different from that of a plane. A spherical surface made from rubber, such as a balloon, can be twisted so that its geometry changes. ...but it cannot be distorted in such a way as that it will cover a plane. All surfaces obtained by distortion of the rubber sphere possess the same holistic properties; they are closed and finite. The plane as a whole has the property of being open; its straight lines are not closed. This feature is mathematically expressed as follows. Every surface can be mapped upon another one by the coordination of each point of one surface to a point of the other surface, as illustrated by the projection of a shadow picture by light rays. For surfaces with the same holistic properties it is possible to carry through this transformation uniquely and continuously in all points. Uniquely means: one and only one point of one surface corresponds to a given point of the other surface, and vice versa. Continuously means: neighborhood relations in infinitesimal domains are preserved; no tearing of the surface or shifting of relative positions of points occur at any place. For surfaces with different holistic properties, such a transformation can be carried through locally, but there is no single transformation for the whole surface.
The Philosophy of Space and Time (1928, tr. 1957)
p, 125
Space, Time and Gravitation (1920)
Source: 1860s, Second State of the Union address (1862)
Context: That portion of the earth's surface which is owned and inhabited by the people of the United States is well adapted to be the home of one national family, and it is not well adapted for two or more. Its vast extent and its variety of climate and productions are of advantage in this age for one people, whatever they might have been in former ages. Steam, telegraphs, and intelligence have brought these to be an advantageous combination for one united people.
“I. Thesis. Finite elements of Space and Time. Antithesis.”
Continuity.
Antimonies
Gesammelte Mathematische Werke (1876)
A variant — "Professor Einstein, the learned scientist, once calculated that if all bees disappeared off the earth, four years later all humans would also have disappeared" — appears in The Irish Beekeeper, v.19-20, 1965-66, p74, citing Abeilles et Fleurs (Bees and Flowers, the house magazine of Union Nationale de l'Apiculture Française) for June 1965. Snopes.com mentions its use in a beekeepers' protest in 1994 in Europe http://www.snopes.com/quotes/einstein/bees.asp suggesting invention and attribution to Einstein for political reasons.
Misattributed
22 min 35 sec
Cosmos: A Personal Voyage (1990 Update), Who Speaks for Earth? [Episode 13]
Context: Our global civilisation is clearly on the edge of failure and the most important task it faces, preserving the lives and well-being of its citizens and the future habitability of the planet. But if we're willing to live with the growing likelihood of nuclear war shouldn't we also been willing to explore vigorously every possible means to prevent nuclear war. Shouldn't we consider in every nation major changes in the traditional ways of doing things, a fundamental restructuring of economic political social and religious institutions. We've reached a point where there can be no more special interests or special cases, nuclear arms threaten every person on the Earth. Fundamental changes in society are sometimes labelled impractical or contrary to human nature, as if nuclear war were practical or as if there's only one human nature. But fundamental changes can clearly be made, we're surrounded by them. In the last two centuries abject slavery which was with us for thousands of years has almost entirely been eliminated in a stirring worldwide revolution. Women, systematically mistreated for millennia are gradually gaining the political and economic power traditionally denied them and some wars of aggression have recently been stopped or curtailed because of a revulsion felt by the people in the aggressor nations. The old appeals to racial, sexual, and religious chauvinism and to rabid nationalist fervor are beginning not to work. A new consciousness is developing which sees the earth as a single organism and recognizes that an organism at war with itself is doomed. We are one planet. One of the great revelations of the age of space exploration is the image of the earth finite and lonely, somehow vulnerable, bearing the entire human species through the oceans of space and time.