This one is different!
a little bit different
Rain comes from holes in clouds.
It's from a list of "Children's Misconceptions About Science."
An electrical engineering student in a differential equations course
was puzzled by the following question: "What if the temp is 4
My student who rewrote "Energy can be neither created nor destroyed" to read "Anything created cannot be destroyed," and rewrote, "An object retains a constant motion in a straight line until a force acts upon it to change that motion" to read "An object has a constant motion until that motion changes," was rewriting physics to a lesser degree of abstraction, one that she could understand. She worked very hard on those rewrites. After the exams, she came to me and argued vigorously that her statements were better than the originals. She could not understand the correct principles. She was "blind" to some relationships which most adults have very little difficulty with. (This student had an identifiable developmental limitation - SEE)
And most of us were "blind" to the sources of the constant flow of "magical" insights–his "unique Eurekas"–that Feynman came up with in his seminars.
These seem to span a vast range of "intelligence." And in a sense, they do. But that is a sense we should pause at and contemplate. It's a vast range from our human viewpoint. But those different "intelligences" are all human. It really isn't very far from the human invention and use of negative numbers to the human invention and use of tensors, a powerful mathematical tool that can shed just a bit of light on the knowledge a bird might get through six-factor color perception. Negative number gets its power from our thinking of numbers as positions on a line. Vectors extend that thinking to more dimensions: line, to area, to 3-D space, to 4-D space, etc. Tensors extend that thinking by taking the step again; by iterating that step upon itself. The mathematics of electrical engineering requires, at a minimum, some perception of the abstraction of negative numbers. Seeing the egalitarianism of a humane society requires some perception of the abstract, higher-dimension spaces. (I cannot begin to analyze what Feynman was doing when he solved differential equations. It was totally outside the edges of my comprehension.) The lowly (??) bird still knows something we cannot.
The "hidden teacher" was a spider. Eiseley was walking up a long gulch "on a rainy morning in the West" when he encountered this orb spider, one foot on the signal strand of the web that would tell the spider when some meal got snarled in the web. The world of spider was limited to no more than the "lines and spokes of the great wheel she inhabited." Eiseley, and the world of human beings, were outside the edges of comprehension of spider. "Spider was circumscribed by spider ideas; its universe was spider universe. All outside was irrational, extraneous, at best, raw material for spider."
Eiseley tells of later haunting memories of that spider, as he thinks of us, with our spider web-like radio telescopes reaching out to hear the vibrations of the universe. He asks if we, too, are not limited, like spider, to human thoughts, human ideas, . . . And he concludes, "It is no longer enough to see as a man sees–even to the ends of the universe. It is not enough to hold nuclear energy in one's hand like a spear, as a man would hold it, or to see the lightning, or times past, or time to come, as a man would see it. . ."
Look at those "misconceptions," for they signal vibrations from outside human universe. Human is circumscribed by human ideas; its universe is human universe. All outside is . . . ??
This Web site tells of a little of what might lie outside. You can learn what we have tried to tell. But learning is not enough. You must see. In seeing, is the Platinum Plover Egg. ...but where is it???