A Quote by Michael Faraday
When a mathematician engaged in investigating physical actions and results has arrived at his own conclusions, may they not be expressed in common language as fully, clearly, and definitely as in mathematical formulae? If so, would it not be a great boon to such as well to express them so -- translating them out of their hieroglyphics that we might also work upon them by experiment?
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As the base rhetorician uses language to increase his own power, to produce converts to his own cause, and to create loyal followers of his own person - so the noble rhetorician uses language to wean men away from their inclination to depend on authority, to encourage them to think and speak clearly, and to teach them to be their own masters.
In this science the illustrations and examples are not confined in their effect merely to the practice they afford in the analytical art, but [...] they also store the mind with independent geometrical and physical knowledge. Besides, it should be considered, that the only effectual method of impressing abstract formulae and rules upon the memory, and, indeed, of making them fully and clearly apprehended by the understanding, is by examples of their practical application.
For me, language is a freedom. As soon as you have found the words with which to express something, you are no longer incoherent, you are no longer trapped by your own emotions, by your own experiences; you can describe them, you can tell them, you can bring them out of yourself and give them to somebody else. That is an enormously liberating experience.
The best programs are written so that computing machines can perform them quickly and so that human beings can understand them clearly. A programmer is ideally an essayist who works with traditional aesthetic and literary forms as well as mathematical concepts, to communicate the way that an algorithm works and to convince a reader that the results will be correct.
I really feel like my goal, and I don't always achieve it, is to do the best work I can do, and stay out of the results. Because ultimately, the result is not what the work is about. There are other people whose jobs are to focus on those results and maximize them, and that's great. Let them do their job.
What makes a free thinker is not his beliefs, but the way in which he holds them. If he holds them because his elders told him they were true when he was young, or if he holds them because if he did not he would be unhappy, his thought is not free; but if he holds them because, after careful thought, he finds a balance in their favor, then his thought is free, however odd his conclusions may seem.
Expressing love in the right language. We tend to speak our own love language, to express love to others in a language that would make us feel loved. But if it is not his/her primary love language, it will not mean to them what it would mean to us.
In living literature no person is a competent judge but of works written in his own language. I have expressed my opinion concerning a number of English writers; it is very possible that I may be mistaken, that my admiration and my censure may be equally misplaced, and that my conclusions may appear impertinent and ridiculous on the other side of the Channel.
I do not so easily think in words.... after being hard at work having arrived at results that are perfectly clear... I have to translate my thoughts in a language that does not run evenly with them.
If a mathematician wishes to disparage the work of one of his colleagues, say, A, the most effective method he finds for doing this is to ask where the results can be applied. The hard pressed man, with his back against the wall, finally unearths the researches of another mathematician B as the locus of the application of his own results. If next B is plagued with a similar question, he will refer to another mathematician C. After a few steps of this kind we find ourselves referred back to the researches of A, and in this way the chain closes.
I think that is what you want to do as a cinemagoer - to experience something fully. Some things don't let you experience them fully. It may be your own preordained prejudice where you can't experience them fully. But when you come out of the cinema having felt, thought, and experienced your way through two hours, that is a really cool thing.
Nobody is out to sabotage an entire script and do an improvisational experiment of a movie, but when they're feeling something in the moment, let them make it their own. That's what makes them great actors.
This is the problem with the way you educate your children. You don't want your young ones drawing their own conclusions. You want them to come to the same conclusions that you came to. Thus you doom them to repeat the mistakes to which your own conclusions led you.
I think that modern physics has definitely decided in favor of Plato. In fact the smallest units of matter are not physical objects in the ordinary sense; they are forms, ideas which can be expressed unambiguously only in mathematical language.
In mathematical analysis we call x the undetermined part of line a: the rest we don't call y, as we do in common life, but a-x. Hence mathematical language has great advantages over the common language.
Those who assert that the mathematical sciences say nothing of the beautiful or the good are in error. For these sciences say and prove a great deal about them; if they do not expressly mention them, but prove attributes which are their results or definitions, it is not true that they tell us nothing about them. The chief forms of beauty are order and symmetry and definiteness, which the mathematical sciences demonstrate in a special degree.
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