A Quote by Jose Ortega y Gasset
Poetry has become the higher algebra of metaphors.
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Poetry begins in trivial metaphors, pretty metaphors, "grace" metaphors, and goes on to the profoundest thinking that we have. Poetry provides the one permissible way of saying one thing and meaning another. People say, "Why don’t you say what you mean?" We never do that, do we, being all of us too much poets. We like to talk in parables and in hints and in indirections - whether from diffidence or some other instinct.
On sighting mathematicians poetry should unhook the algebra from their minds and replace it with poetry; on sighting poets it should unhook poetry from their minds and replace it with algebra.
Chemistry has the same quickening and suggestive influence upon the algebraist as a visit to the Royal Academy, or the old masters may be supposed to have on a Browning or a Tennyson. Indeed it seems to me that an exact homology exists between painting and poetry on the one hand and modem chemistry and modem algebra on the other. In poetry and algebra we have the pure idea elaborated and expressed through the vehicle of language, in painting and chemistry the idea enveloped in matter, depending in part on manual processes and the resources of art for its due manifestation.
Writers think in metaphors. Editors work in metaphors. A great reader reads in metaphors.
They have the idea that non-commutative algebra should remind one of commutative algebra, but the former is more sophisticated. I believe that non-commutative algebra is just as simple, but it is different.
Metaphors hide in plain sight, and their influence is largely unconscious. We should mind our metaphors, though, because metaphors make up our minds.
Instead of five hundred thousand average algebra teachers, we need one good algebra teacher. We need that teacher to create software, videotape themselves, answer questions, let your computer or the iPad teach algebra... The hallmark of any good technology is that it destroys jobs.
I've grown up on a diet of metaphors. If young writers would find those writers who can give them metaphors by the bushel and the peck, then they'll become better writers - to learn how to capsualize things and present them in metaphorical form.
Comic strips introduced me to metaphors. They are pure metaphor, so you learn how to tell a story with symbols, which is a very valuable thing to learn. And I learned that from motion pictures, too, and from poetry. Poetry is mainly metaphor. If it doesn't have a metaphor, it doesn't work.
Metaphors are not user-friendly. They're difficult to find and difficult to use well. Unfortunately, metaphors are a mainstay of good lyric writing-indeed of most creative writing. ...metaphors support lyrics like bones.
Stand firm in your refusal to remain conscious during algebra. In real life, I assure you, there is no such thing as algebra.
We may always depend on it that algebra, which cannot be translated into good English and sound common sense, is bad algebra.
The poet wants to ‘say’ something. Why, then, doesn’t he say it directly and fortrightly? Why is he willing to say it only through his metaphors? Through his metaphors, he risks saying it partially and obscurely, and risks saying nothing at all. But the risk must be taken, for direct statement leads to abstraction and threatens to take us out of poetry altogether.
Gel'fand amazed me by talking of mathematics as though it were poetry. He once said about a long paper bristling with formulas that it contained the vague beginnings of an idea which could only hint at and which he had never managed to bring out more clearly. I had always thought of mathematics as being much more straightforward: a formula is a formula, and an algebra is an algebra, but Gel'fand found hedgehogs lurking in the rows of his spectral sequences!
Writers think in metaphors. Editors work in metaphors. A great reader reads in metaphors. All are continually asking, "What does this represent? What does it stand for?" They are trying to take everything one level deeper. When they get to that level, they will try to go deeper again.
Yes, I took a remedial algebra course in college. I struggled in math in high school and didn’t have confidence to plunge in with a for-credit algebra course. The remedial course gave me a lot of confidence so that when I took the for-credit algebra course it was fairly easy and I got a ‘B,’ of which I remain proud today!
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