A Quote by Wassily Kandinsky
Drawing instruction is a training towards perception, exact observation and exact presentation not of the outward appearances of an object, but of its constructive elements, its lawful forces-tensions, which can be discovered in given objects and of the logical structures of same-education toward clear observation and clear rendering of the contexts, whereby surface phenomena are an introductory step towards the three-dimensional.
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It is a common observation that a science first begins to be exact when it is quantitatively treated. What are called the exact sciences are no others than the mathematical ones.
From the moment they had left the Earth, their own weight, and that of the Projectile and the objects therein contained, had been undergoing a progressive diminution. . . . Of course, it is quite clear, that this decrease could not be indicated by an ordinary scales, as the weight to balance the object would have lost precisely as much as the object itself. But a spring balance, for instance, in which the tension of the coil is independent of attraction, would have readily given the exact equivalent of the loss.
Science works because the phenomenon being described can be relied on to remain the same. Even in quantum physics, where phenomena are changed by observation, the way in which observation interferes is regular and falls within a limited range of possibilities. Human culture, however, has the nasty habit of never staying the same for very long.
To behold, is not necessary to observe, and the power of comparing and combining is only to be obtained by education. It is much to be regretted that habits of exact observation are not cultivated in our schools; to this deficiency may be traced much of the fallacious reasoning, the false philosophy which prevails.
From the dawn of exact knowledge to the present day, observation, experiment, and speculation have gone hand in hand; and, whenever science has halted or strayed from the right path, it has been, either because its votaries have been content with mere unverified or unverifiable speculation (and this is the commonest case, because observation and experiment are hard work, while speculation is amusing); or it has been, because the accumulation of details of observation has for a time excluded speculation.
Men look on knowledge which they learn--or might learn--from others as they do on the most beautiful structures which are not their own: in outward objects, they would rather behold their own hogsty than their neighbor's palace; and in mental ones, would prefer one grain of knowledge gained by their own observation to all the wisdom of a thousand Solomons.
A lot of guys come out, and they do the exact same thing, are in the exact same mood, and have the exact same entrance every night, I really just make up a lot of crap as I go along.
Descriptive geometry has two objects: the first is to establish methods to represent on drawing paper which has only two dimensions,-namely, length and width,-all solids of nature which have three dimensions,-length, width, and depth,-provided, however, that these solids are capable of rigorous definition.
The second object is to furnish means to recognize accordingly an exact description of the forms of solids and to derive thereby all truths which result from their forms and their respective positions.
A man's knowledge may be said to be mature, in other words, when it has reached the most complete state of perfection to which he, as an individual, is capable of bringing it, when an exact correspondence is established between the whole of his abstract ideas and the things he has actually perceived for himself. His will mean that each of his abstract ideas rests, directly or indirectly, upon a basis of observation, which alone endows it with any real value; and also that he is able to place every observation he makes under the right abstract idea which belongs to it.
Our observation of nature must be diligent, our reflection profound, and our experiments exact. We rarely see these three means combined; and for this reason, creative geniuses are not common.
We have three approaches at our disposal: the observation of nature, reflection, and experimentation. Observation serves to assemble the data, reflection to synthesise them and experimentation to test the results of the synthesis. The observation of nature must be assiduous, just as reflection must be profound, and experimentation accurate. These three approaches are rarely found together, which explains why creative geniuses are so rare.
The nature of the Absolute is neither perceptible nor imperceptible; and with phenomena it is just the same. But to one who has discovered his real nature, how can there be anywhere or anything separate from it?... ...Therefore it is said: 'The perception of a phenomenon IS the perception of the Universal Nature, since phenomena and Mind are one and the same.'
It is an assumption brought forth countless of times in various contexts that the world would be better, drifting slower towards the ruin, if women had the "power"; if political leadership, decision making, government and economic life was in the hands of women. I think reality, the observation material, supports the assumption.
The new art must be based upon science - in particular, upon mathematics, as the most exact, logical, and graphically constructive of the sciences.
Since I found that one could make a case shadow from a three-dimensional thing, any object whatsoever - just as the projecting of the sun on the earth makes two dimensions - I thought that by simple intellectual analogy, the fourth dimension could project an object of three dimensions, or, to put it another way, any three-dimensional object, which we see dispassionately, is a projection of something four-dimensional, something we are not familiar with.
The philosophical question before us is, when we make an observation of our track in the past, does the result of our observation become real in the same sense that the final state would be defined if an outside observer were to make the observation?
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