A Quote by Isaac Newton
I do not define time, space, place, and motion, as being well known to all. Only I must observe, that the common people conceive those quantities under no other notions but from the relation they bear to sensible objects. And thence arise certain prejudices, for the removing of which it will be convenient to distinguish them into absolute and relative, true and apparent, mathematical and common.
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Absolute, true, and mathematical time, in and of itself and of its own nature, without reference to anything external, flows uniformly and by another name is called duration. Relative, apparent, and common time is any sensible and external measure (precise or imprecise) of duration by means of motion; such as a measure-for example, an hour, a day, a month, a year-is commonly used instead of true time.
The constructs of the mathematical mind are at the same time free and necessary. The individual mathematician feels free to define his notions and set up his axioms as he pleases. But the question is will he get his fellow mathematician interested in the constructs of his imagination. We cannot help the feeling that certain mathematical structures which have evolved through the combined efforts of the mathematical community bear the stamp of a necessity not affected by the accidents of their historical birth.
We are here a nation, composed of the most heterogeneous elements-Protestants and Catholics, English, French, German, Irish, Scotch, every one, let it be remembered, with his traditions, with his prejudices. In each of these conflicting antagonistic elements, however, there is a common spot of patriotism, and the only true policy is that which reaches that common patriotism and makes it vibrate in all toward common ends and common aspirations.
By the help of God and with His precious assistance, I say that Algebra is a scientific art. The objects with which it deals are absolute numbers and measurable quantities which, though themselves unknown, are related to "things" which are known, whereby the determination of the unknown quantities is possible.
Here I shall add that the concept of change, and with it the concept of motion, as change of place, is possible only through and in the representation of time. & Motion, for example, presupposes the perception of something movable. But space considered in itself contains nothing movable; consequently motion must be something which is found in space only through experience -in other words, is an empirical datum.
In true meditation the emphasis is on being awareness; not on being aware of objects, but on resting as primordial awareness itself. Primordial awareness is the source in which all objects arise and subside. As you gently relax into awareness, into listening, the mind's compulsive contraction around objects will fade. Awareness naturally returns to its non-state of absolute unmanifest potential, the silent abyss beyond all knowing.
It is indeed a matter of great difficulty to discover, and effectually to distinguish, the true motions of particular bodies from the apparent; because the parts of that immovable space, in which those motions are performed, do by no means come under the observation of our senses. Yet the thing is not altogether desperate; for we have some arguments to guide us, partly from the apparent motions, which are the differences of the true motions; partly from the forces, which are the causes and effects of the true motions.
We have a common enemy. We have this in common: We have a common oppressor, a common exploiter, and a common discriminator. But once we all realize that we have this common enemy, then we unite on the basis of what we have in common. And what we have foremost in common is that enemy - the white man. He's an enemy to all of us. I know some of you all think that some of them aren't enemies. Time will tell.
Allah is in Himself the non-being and the being, the inexistent and the existent. He is at the same time that which we designate by absolute non-being and by absolute being; or by relative non-being and relative being. . . . All these designation come back to God alone, for there is nothing which we can perceive, know, write or say which is not Him.
The camera machine cannot evade the objects which are in front of it. When the photographer selects this movement, the light, the objects, he must be true to them. If he includes in his space a strip of grass, it must be felt as the living differentiated thing it is and so recorded. It must take its proper but no less important place as a shape and a texture in relationship to the mountain tree or what not, which are included.
Motion is always a relative thing. I move in relation to something else. Any particle in this universe can change in relation to any other particle; but take the whole universe as one, and in relation to what can it move? There is nothing besides it. So this infinite Unit is unchangeable, immovable, absolute, and this is the Real Man.
Projection will disappear. And the possibility that was given by motion pictures will be missed. The possibility of there being a real audience - a group of people who have nothing in common, but, at a certain time of the day or the week, are able to look with other nknown neighbors at something bigger than they are. To look at their problems in big. Not in small.
Among the innumerable mortifications which waylay human arrogance on every side may well be reckoned our ignorance of the most common objects and effects, a defect of which we become more sensible by every attempt to supply it. Vulgar and inactive minds confound familiarity with knowledge and conceive themselves informed of the whole nature of things when they are shown their form or told their use; but the speculatist, who is not content with superficial views, harasses himself with fruitless curiosity, and still, as he inquires more, perceives only that he knows less.
The wildest dreams of wild men, even, are not the less true, though they may not recommend themselves to the sense which is most common among Englishmen and Americans to-day. It is not every truth that recommends itself to the common sense. Nature has a place for the wild clematis as well as for the cabbage. Some expressions of truth are reminiscent,--others merely sensible, as the phrase is,--others prophetic.
We humans have a wide range of abilities that help us perceive and analyze mathematical content. We perceive abstract notions not just through seeing but also by hearing, by feeling, by our sense of body motion and position. Our geometric and spatial skills are highly trainable, just as in other high-performance activities. In mathematics we can use the modules of our minds in flexible ways - even metaphorically. A whole-mind approach to mathematical thinking is vastly more effective than the common approach that manipulates only symbols.
Before 1915, space and time were thought of as a fixed arena in which events took place, but which was not affected by what happened in it. Space and time are now dynamic quantities... space and time not only affect but are also affected by everything that happens in the universe.
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