There was an awful rainbow once in heaven:
We know her woof, her texture; she is given
In the dull catalogue of common things.
—John Keats, Lamia
I am guessing—though it is only a guess—that Keats himself did not know the woof and texture of the rainbow. Not the way that Newton understood rainbows. Perhaps not even at all. Maybe Keats just read, somewhere, that Newton had explained the rainbow as "light reflected from raindrops"—
—which was actually known in the 13th century. Newton only added a refinement by showing that the light was decomposed into colored parts, rather than transformed in color. But that put rainbows back in the news headlines. And so Keats, with Charles Lamb and William Wordsworth and Benjamin Haydon, drank "Confusion to the memory of Newton" because "he destroyed the poetry of the rainbow by reducing it to a prism." That's one reason to suspect Keats didn't understand the subject too deeply.
I am guessing, though it is only a guess, that Keats could not have sketched out on paper why rainbows only appear when the Sun is behind your head, or why the rainbow is an arc of a circle.
If so, Keats had a Fake Explanation. In this case, a fake reduction. He'd been told that the rainbow had been reduced, but it had not actually been reduced in his model of the world.
This is another of those distinctions that anti-reductionists fail to get—the difference between professing the flat fact that something is reducible, and seeing it.
In this, the anti-reductionists are not too greatly to be blamed, for it is part of a general problem.
I've written before on seeming knowledge that is not knowledge, and beliefs that are not about their supposed objects but only recordings to recite back in the classroom, and words that operate as stop signs for curiosity rather than answers, and technobabble which only conveys membership in the literary genre of "science"...
There is a very great distinction between being able to see where the rainbow comes from, and playing around with prisms to confirm it, and maybe making a rainbow yourself by spraying water droplets—
—versus some dour-faced philosopher just telling you, "No, there's nothing special about the rainbow. Didn't you hear? Scientists have explained it away. Just something to do with raindrops or whatever. Nothing to be excited about."
I think this distinction probably accounts for a hell of a lot of the deadly existential emptiness that supposedly accompanies scientific reductionism.
You have to interpret the anti-reductionists' experience of "reductionism", not in terms of their actually seeing how rainbows work, not in terms of their having the critical "Aha!", but in terms of their being told that the password is "Science". The effect is just to move rainbows to a different literary genre—a literary genre they have been taught to regard as boring.
For them, the effect of hearing "Science has explained rainbows!" is to hang up a sign over rainbows saying, "This phenomenon has been labeled BORING by order of the Council of Sophisticated Literary Critics. Move along."
And that's all the sign says: only that, and nothing more.
So the literary critics have their gnomes yanked out by force; not dissolved in insight, but removed by flat order of authority. They are given no beauty to replace the hauntless air, no genuine understanding that could be interesting in its own right. Just a label saying, "Ha! You thought rainbows were pretty? You poor, unsophisticated fool. This is part of the literary genre of science, of dry and solemn incomprehensible words."
That's how anti-reductionists experience "reductionism".
Well, can't blame Keats, poor lad probably wasn't raised right.
But he dared to drink "Confusion to the memory of Newton"?
I propose "To the memory of Keats's confusion" as a toast for rationalists. Cheers.
Allow me to provide some insight, as an erstwhile "anti-reductionist" in the sense that Eliezer uses it here. (In many senses I am still an anti-reductionist.) I think that what is at work here is the conflict between intuition and analysis. However, before I remark on the relevance of these concepts to the experience of a rainbow, I would like to clarify what I mean by the terms "intuition" and "analysis".
The way I understand the mind, at the very deepest level of our consciousnesses we have our core processes; these are the things we have carried with us from the dawn of our evolution. And somewhere around there is our emotions and our gut reactions. Because these are such fundamental processes, and because they are ingrained in us so deeply, we feel them especially strongly. Emotions add richness and depth to experience.
As I see it, emotion is deeper than intuition, but not much deeper. Because our intuitive thought processes are so close to our emotional thought processes, intuitive thoughts are more likely to inspire emotional experiences. And as I see it, analysis is at the very surface level of our minds: it is our verbal reasoning, to which we have full conscious access. Because analysis is further from emotion than intuition is, it is less likely than intuition to inspire an emotional response. I suspect that it's for this reason that verbal, rational, conscious analyses are often seen as dry and lifeless and lacking any emotional resonance.
Here is what I believe Keats experienced. Before he knew the scientific explanation of the rainbow, he experienced rainbows intuitively and they caused in him a powerful emotional response. When he saw a rainbow, it did not trigger conscious verbal thought, and instead it triggered intuition which triggered emotion. But after he knew the scientific explanation, that verbal experience of the rainbow overrode the intuitive experience. Now, when Keats saw a rainbow, it triggered the conscious analysis level of his mind, and did not trigger intuition or emotion, and thereby were rainbows made less beautiful.
It could also be possible that before Keats knew the scientific explanation of rainbows, he had a very different verbal understanding of them. After all, Keats was a poet, so one would expect him to have been a very verbal thinker. But there are some verbal descriptions which are closer to intuition than others. The more concrete a description, the closer to intuition it is (at least, this is my hypothesis). Intuition is very symbolic, as is well-known from dreams. Abstract concepts are represented by simpler, concrete symbols. Thus, I believe that the more concrete a description is, the more intuitive it is, and the more likely it is to incite an emotional response. Whoever explained the rainbow to Keats probably did so in abstract scientific terms, and thus this description probably did not trigger such an emotional response, and Keats therefore did not think it was beautiful.
I suspect that the reason we scientifically-minded types find scientific explanations beautiful is because we understand them intuitively. Much of learning involves gaining an intuition for a subject. Those who have studied science have gained the intuition required to understand it. What this means, in terms of my model of cognition, is that the words for scientific explanations now activate symbolic, intuitive concepts, which in turn activate emotion. According to my model, then, those who have learned a subject deeply would be more likely to feel emotions when hearing about that subject, than those who have not been exposed to it. From my own experiences and from talking to others it seems like this is largely true.
A final alternative presents itself. Perhaps Keats does feel emotion when presented with the scientific explanation of the rainbow. Perhaps this emotion is negative. When he hears the scientific words he recalls tedious days in science classes that failed to capture his imagination and he then associates rainbows with this tedium. Rainbows then become less beautiful because they have been explained in a way that is negative to Keats.
Anyway what I think is that we need better education, which teaches kids the beauty of scientific ideas. Actually, I suspect science fiction novels would be better for this than textbooks and classes; good writers have a way of infusing ideas with beauty, and reading science fiction as a kid seems to enhance enthusiasm for science.