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| quote: | Originally posted by shaolin_Z
I think I understood your point there, but not entirely. It's seems like a clash, especially going by your inductive example, of induction v.s. deduction if I'm correct? BTW, sometimes I think you're the only person in here who understand formal logic . |
Yes, that's pretty much it. A sound deductive argument is always the best source of truth, where possible. But, in economic terms, there are information costs associated with obtaining the necessary premises from which to reason deductively. This makes it less than ideal for most situations that organisms, including humans, typically encounter.
Take this deductive argument:
Red is a dog.
All dogs have four legs.
Therefore, Red has four legs.
The accuracy of the conclusion, given the truth of the premises, is 100%. But in order to apply that reasoning in a practical sense, we would somehow have to first establish that all dogs have four legs. That's going to be a pretty big obstacle. What are we going to do, gather up all the dogs in the world and count their legs?
Heuristics, like the categorization heuristic, are more efficient because they are inductive. Suppose you are a wild animal and you need to find a source of water. On the one side you see some rather barren, sandy looking terrain. Because you are evolved to employ categorization heuristics and you have seen terrain like this before, you are apt to categorize it as a "desert." There are abundant trees on the other side. You are apt to categorize that terrain as a "forest."
Now, it may be that there is an oasis just over that dune. It may also be that there is no readily accessible water in the forest. But I doubt anyone thinks that the animal which categorizes the terrain and acts upon generalizations relating to those categories is not more likely to survive than the organism which insists on giving each unexplored area an equal chance at proving its fruitfulness.
It is not so different when it comes to homo sapiens seeking a more cerebral sort of edification, although the stakes are likely lower (I can certainly imagine scenarios where they would be higher.) Categories of potential sources of information do help us make judgments about where we are likely to find accurate information, and what sources are likely to be intellectually barren. That is, it helps us decide where we will likely get a greater return for the investment of our time. Over many iterations of this problem, the person who chooses more efficiently is likely to possess greater knowledge, both quantitatively and qualitatively.
All that said -- and in this regard, Shibby's point is well taken -- it is best that we employ this sort of reasoning consciously, and only to the extent efficient under the circumstances, taking into consideration the extent of our knowledge of each source beyond mere categorization and also the probable cost of an error.
Human beings employ heuristics, for example, that help them gauge how physical objects are likely to move through space. In most situations, they are very useful, since most of us are not capable of performing the calculations that would be necessary to achieve a higher degree of accuracy, at least in any timely manner. But while these limitations may be entirely tolerable in aiming my garden hose, we may not find it efficient to rely on them aiming a rocket.
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