Every one who has seriously investigated a novel question, who has really interrogated Nature with a view to a distinct answer, will bear me out in saying that it requires intense and sustained effort of imagination. The relations of sequence among the phenomena must be seen; they are hidden; they can only be seen mentally; a thousand suggestions rise before the mind, but they are recognised as old suggestions, or as inadequate to reveal what is sought; the experiments by which the problem may be solved have to be imagined; and to imagine a good experiment is as difficult as to invent a good fable, for we must have distinctly present — clear mental vision — the known qualities and relations of all the objects, and must see what will be the effect of introducing some new qualifying agent. If any one thinks this is easy, let him try it: the trial will teach him a lesson respecting the methods of intellectual activity not without its use.
George Henry Lewes
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An artist produces an effect in virtue of the distinctness with which he sees the objects he represents, seeing them not vaguely as in vanishing apparitions, but steadily, and in their most characteristic relations. To this Vision he adds artistic skill with which to make us see. He may have clear conceptions, yet fail to make them clear to us: in this case he has imagination, but is not an artist. Without clear Vision no skill can avail. Imperfect Vision necessitates imperfect representation; words take the place of ideas.
George Henry Lewes
How scientists go about their job: and it's a process, it's a question of asking questions, respecting observation, respecting experiment, having tentative explanations and then testing them.... There is a problem sometimes with how we teach science at schools. Because we sometimes teach it as if it has been chiseled in stone.
Paul Nurse
This deficiency in our ideas is not, indeed, perceived in common life, nor are we sensible, that in the most usual conjunctions of cause and effect we are as ignorant of the ultimate principle, which binds them together, as in the most unusual and extraordinary. But this proceeds merely from an illusion of the imagination; and the question is, how far we ought to yield to these illusions. This question is very difficult, and reduces us to a very dangerous dilemma, whichever way we answer it. For if we assent to every trivial suggestion of the fancy; beside that these suggestions are often contrary to each other; they lead us into such errors, absurdities, and obscurities, that we must at last become asham'd of our credulity. Nothing is more dangerous to reason than the flights of the imagination, and nothing has been the occasion of more mistakes among philosophers. Men of bright fancies may in this respect be compar'd to those angels, whom the scripture represents as covering their eyes with their wings. This has already appear'd in so many instances, that we may spare ourselves the trouble of enlarging upon it any farther.
David Hume
As the mathematics are now understood, each branch — or, if you please, each problem, — is but the study of the relations of a collection of connected objects, without parts, without any distinctive characters, except their names or designating letters. These objects are commonly called points; but to remove all notion of space relations, it may be better to name them monads. The relations between these points are mere complications of two different kinds of elementary relations, which may be termed immediate connection and immediate non-connection. All the monads except as serve as intermediaries for the connections have distinctive designations.
Charles Sanders Peirce
If clear Vision be indispensable to success in Art, all means of securing that clearness should be sought. Now one means is that of detaining an image long enough before the mind to allow of its being seen in all its characteristics. The explanation Newton gave of his discovery of the great law, points in this direction; it was by always thinking of the subject, by keeping it constantly before his mind, that he finally saw the truth. Artists brood over the chaos of their suggestions, and thus shape them into creations.
George Henry Lewes
Lewes, George Henry
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