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Extra
hints:
Vectors
(and tensors) Professors of elementary physics courses
like to depict a vector as a magnitude with a direction. That's a
tad narrow. Color is a vector; a three-vector for normal human color;
a two-vector for a protanope or deuteranope. Direction isn't involved.
Inseverability of components is the crucial issue. Scalars can be
uniquely rank ordered, just like shades of blue. Higher order vectors
(and tensors, like color reflection) cannot. That means comparatives
and superlatives are out of order. Before you can say "A is greater
than B," you must choose a scalar by which to make that ranking, and when
you do you have oversimplified (infection with "the singles"). Many
things are persistently and pervasively oversimplified in this way: "intelligence,"
"value of persons," "cost/benefit ratio," for starters.
The
law of action and reaction is an observation that some certain
things that might seem to be independent are, in fact, inseverable.
A movie critic once said. "That cracking sound you hear when the
movie hero punches the villain in the jaw is the sound of finger bones
breaking; jaw bones are much stronger than finger bones." That critic
understood
Newton's
third law. That law is recognition of implications of mutually reciprocal
relationships between objects interacting with each other. "Fairness"
is a concept coming out of the recognition of implications of mutually
reciprocal relationships between people.
Sunburn
and sun tan. Actinicity of sunlight is almost universally
thought to be a function of air temperature. Sunburn correlates with
temperature; but correlation and causation are persistently and pervasively,
and erroneously, thought to be the same thing. If we note the various
variables, and correctly sort through them, picking out the relevant from
the irrelevant, we will come up with angle of sun from the horizon as the
really relevant determiner of actinicity of sunlight. And the relevant
phenomenon of physics? Rayleigh scattering! Any creature with
uv perception sees something humans don't. (That goes for polarization
perception, too.) |
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