United States or Angola ? Vote for the TOP Country of the Week !
The construction is never finished; we can always go on laying squares if their laws of disposition correspond to those of plane figures of Euclidean geometry. The plane is therefore infinite in relation to the cardboard squares. Accordingly we say that the plane is an infinite continuum of two dimensions, and space an infinite continuum of three dimensions.
The inside of the dome passed into another space-time continuum, even into another kind of space-time. The transposition would take half an hour; that seemed to be the time needed to build up and collapse the transposition field, regardless of the paratemporal distance covered.
Every time that the temporal continuum revolves around eternity, it has a new age, much like the years of the earth as it revolves around the sun. When the atomic anionizers went off, they did on a large scale what they were designed to do on a small scale: reverse the poles through an extreme electric charge, by injecting countless solitary electrons into the atoms.
Out beyond the dense space that surrounds all stars, the long ship probed the ever-shifting currents in the four-dimensional universe. The long ship found a low-density flaw, where space could hardly be said to exist at all. The long ship, described mathematically, was half as long as the continuum the length being inversely proportional and related only to mass.
The old adage that "the parent of prose is poetry, the parent of poetry is music, the parent of music is rhythm, and the parent of rhythm is God" seems borne out not only in history, but by the nature of thought and attention that does not move in a continuum, but flies and perches alternately, or on stepping-stones and as if influenced by the tempo of the leg swinging as a compound pendulum.
The question whether the structure of this continuum is Euclidean, or in accordance with Riemann's general scheme, or otherwise, is, according to the view which is here being advocated, properly speaking a physical question which must be answered by experience, and not a question of a mere convention to be selected on practical grounds.
We seem to be much nearer to grasping the nature of the unconscious, when we look upon it as a historical continuum, a compound or emulsion of different and various states of intravisceral pressure and tone, in the vegetative apparatus, dependent upon the balance between the endocrines, as well as upon past experiences of the viscera in the way of stimulation or depression.
But now I was more second matter than any man in history. "It's the old question of Achilles' Ship," Dr. Erics told me. "Never heard of it," I said. "It's a parable, Treb, about concretised forms of a continuum in its discrete aspects." "I see the theoretical question but what has Achilles' Ship to do with it?" He furrowed his protoplast brow that looked as youthful as it had a century ago.
As my father taught me by his example long ago, I can be supremely happy in my remembrances, and yet even happier at my own end of the continuum. One has a right to be Hibernian in an Einstein world. After all, have I not a right to be? I, who have always been an explorer at heart, am getting near the greatest exploration of all.
Inwardly they are one with their parts, and outwardly they pass continuously into their next neighbors, so that events separated by years of time in a man's life hang together unbrokenly by the intermediary events. Their names, to be sure, cut them into separate conceptual entities, but no cuts existed in the continuum in which they originally came.
Word Of The Day