formal deductive argument consisting of major premise, minor premise, and conclusion — as stylized as a sonnet:
All men are mortal.
Therefore, Socrates was mortal.
*Why didn't von Rundstedt listen? He was too attached to his own strategy, an elaborate but ultimately pointless plan for defending Calais. Hitler, for his part, trusted von Rundstedt so much that he spent the morning of D-Day asleep, evidently untroubled by Rommel's fear that Normandy might be invaded.
Nobody has trouble with this form of logic; we understand the abstract form and realize that it generalizes freely:
All glorks are frum.
Therefore, Skeezer is frum.
Presto — a new way for forming beliefs: take what you know (the minor and major premises), insert them into the inferential schema (all X's are Y, Q is an X, therefore Q is a Y), and deduce new beliefs. The beauty of the scheme is the way in which true premises are guaranteed, by the rules of logic, to lead to true conclusions.
The good news is that humans can do this sort of thing at all; the bad news is that, without a lot of training, we don't do it particularly well. If the capacity to reason logically is the product of natural selection, it is also a very recent adaptation with some serious bugs yet to be worked out.
Consider, for example, this syllogism, which has a slight but important difference from the previous one:
All living things need water.
Therefore, roses are living things.
Is this a valid argument? Focus on the logic, not the
The poor logic of the argument becomes clearer if I simply change the words in question:
Premise 1: All insects need oxygen.
Conclusion: Therefore, mice are insects.
A creature truly noble in reason ought to see, instantaneously, that the rose and mouse arguments follow exactly the same formal structure (all X's need Y, Z's need Y, therefore Z's are X's) and ought to instantly reject all such reasoning as fallacious. But most of us need to see the two syllogisms side by side in order to get it. All too often we suspend a careful analysis of what is
What's going on here? In a system that was superlatively well engineered, belief and the process of drawing inferences (which soon become new beliefs) would be separate, with an iron wall between them; we would be able to distinguish what we had direct evidence for from what we had merely inferred. Instead, in the development of the human mind, evolution took a different path. Long before human beings began to engage in completely explicit, formal forms of logic (like syllogisms), creatures from fish to giraffes were probably making informal inferences, automatically, without a great deal of reflection; if apples are good to eat, pears probably are too. A monkey or a gorilla might make that inference without ever realizing that there
The capacity to codify the laws of logic — to recognize that
not — presumably evolved only recently, perhaps sometime after the arrival of
Studies of the brain bear this out: people evaluate syllogisms using two different neural circuits, one more closely associated with logic and spatial reasoning (bilateral parietal), the other more closely associated with prior belief (frontal-temporal). The former (logical and spatial) is effortful, the latter invoked automatically; getting the logic right is difficult.
In fact, truly explicit reasoning via logic probably isn't something that