05 February 2020

On Spacetime (Unsourced)

"In space-time, everything which for each of us constitutes the past, the present, and the future is given in block, and the entire collection of events, successive for us, which form the existence of a material particle is represented by a line, the world-line of the particle. Each observer, as his time passes, discovers, so to speak, new slices of spacetime which appear to him as successive aspects of the material world, though in reality the ensemble of events constituting space-time exist prior to his knowledge of them." (Louis de Broglie)

"Mathematics connect themselves on the one side with common life and the physical sciences; on the other side with philosophy, in regard to our notions of space and time, and in the questions which have arisen as to the universality and necessity of the truths of mathematics, and the foundation of our knowledge of them." (Arthur Cayley)

"Space. The continual becoming: invisible fountain from which all rhythms flow and to which they must pass. Beyond time or infinity." (Frank L Wright)

"Space and time: these man proposes to measure. The one circumscribes his momentary existence, the other accompanies his successive stages in life. These two dimensions are tied together through a necessary relationship, namely, motion. When motion is constant and uniform, space is known by time and time is measured by space. Man has nothing within him that is constant and uniform; continually modified every instant, he is changing, irregular. and hardly durable enough to be a measure of duration." (Sophie Germain)

"Space has commonly been pictured as an unbounded receptacle for all that is and all that takes place, and time, as the tally sheet of the onsweep of an active world. Free room for the great deployments of the cosmos have been thought to be offered by unlimited space and ample duration for their evolutions in unrestricted time." (Thomas C Chamberlin)

"Space has devoured ether and time; it seems to be on the point of swallowing up also the field and the corpuscles, so that it alone remains as the vehicle of reality." (Albert Einstein)

"Space is an imaginary body, as time is fictive movement. When we say 'in space' or 'space is filled with' we are positing a body." (Paul Valéry)

"The abstract analysis of the world by mathematics and physics rests on the concepts of space and time." (James J Gibson)

"The science of arithmetic may be called the science of exact limitation of matter and things in space, force, and time." (Francis W Parker)

"The unconscious has no time. There is no trouble about time in the unconscious. Part of our psyche is not in time and not in space. They are only an illusion, time and space, and so in a certain part of our psyche time does not exist at all." (Carl G Jung)

"There can no longer be any objective and essential […] division of space-time between ‘events which have already occurred’ and ‘events which have not yet occurred’. […] Relativity is a theory in which everything is ‘written’ and where change is only relative to the perceptual mode of living beings." (Costa de Beauregard)

"Time and space are divided into the same and equal divisions. Wherefore also, Zeno’s argument, that it is impossible to go through an infinite collection or to touch an infinite collection one by one in a finite time, is fallacious. For there are two senses in which the term ‘infinte’ is applied both to length and to time and in fact to all continuous things: either in regard to divisibility or in regard to number. Now it is not possible to touch things infinite as to number in a finite time, but it is possible to touch things infinite in regard to divisibility; for time itself is also infinite in this sense." (Aristotle)

"To those of us who spend our lives working on scientific problems, science is a great intellectual adventure of such interest that nothing else we ever do can compare with it. We are attempting to understand the order of a physical universe, vast in extent in space and time, and most complicated and beautiful in its details." (Harold Urey)

"We call it 'explanation', but it is 'description' which distinguishes us from earlier stages of knowledge and science. We describe better - we explain just as little who came before us [...] We operate with nothing but things which do not exist, with lines, planes, bodies, atoms, divisible time, divisible space - how should explanation even be possible when we first make everything into an image, into our image!" (Friedrich W Nietzsche)

"You say that just as space consists of an infinity of contiguous points, so time is but an infinite collection of contiguous instants? Good! Consider, then, an arrow in its flight. At any instant its extremity occupies a definite point in its path. Now, while occupying this position it must be at rest there. But how can a point be motionless and yet in motion at the same time?” (Zeno)

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