Are people kind or cruel? The best reply to this kind of question is simply to say it is not a good question, because the concepts kind and cruel are not arithmomorphic, but dialectical.
Don’t leave me, hang in a little longer. You may find this kind of thinking is not as painful as you expect, you may even find it interesting, in spite of the big words. I am now reading a heavy volume entitled The Entropy Law and the Economic Process by Nicholas Georgescu-Roegen. It is the perfect contrast to a novel I am listening to called The King of Torts, which I will review later.
When I scanned over Entropy Law, I was sure I made a mistake in buying it. It made my old brain tired just looking at it. Then I discovered, quite to my surprise, that it was quite readable. It’s never going to be a best seller, but it is considered a seminal work by some big brains. I will not dwell on the similarity between the words seminal and semen, but I don’t think I have to.
He starts off by saying: the boundaries of every science of fact are moving penumbras. And he contrasts this with pure logic where there are rigidly set and sharply drawn boundaries between symbols. We have ten fingers, for example, no one can argue with that. He calls these arithmomorphic concepts. Plato gets the credit for this type of thinking.
Hegel gets the credit for dialectical thinking, which is well-suited to dealing with things like good and evil, which have very fuzzy edges, and even worse, can sometimes be seen as one thing. But this logical inconsistency doesn’t make these concepts useless; it is actually part of their charm. The human mind has no trouble with them at all, and indeed cannot live without them.
And it has no trouble understanding the arithmomorphic world and the dialectical world at the same time. As you know, it ordinarily doesn’t bother to distinguish between them, which sometimes gets it into trouble. Consider the concept of democracy. This is not an arithmomorphic concept, and we can easily get into trouble by arguing that one country is more democratic than another. Dialectical ideas like this are surrounded by moving penumbras.
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