Dealing with complicated issues is a complicated issue. I find that it is impossible for a non-expert to rationally debate a complicated issue. Instead, it all comes down to belief.
Take global warming, for instance. There are people in the world who have spent their lives studying this: climatologists. As scientists (the real climatologists anyway) they posit a theory, test it against empirical evidence, publish the results, and let their peers (other real climatologists) analyze, critique, and collectively approve or reject it. The Wikipedia article references a separate page that cites hundreds of scientific organizations who collectively agree that the world is warming overall, the climatological system is changing, and that these changes are attributable to human activities. More conclusive, though, is that aside from four groups who stand by non-committal statements, "no scientific body of national or international standing has maintained a dissenting opinion" (the last was the American Association of Petroleum Geologists who updated their stance in 2007 with a non-committal statement.)
However, I am not a climatologist by any means. As such, I'm left to judge by belief alone: I believe that climatologists have studied this issue and agreed that humans are causing climate change, and that these climatologists do not have sufficient ulterior motives to lie. I don't think it's possible to predict exactly how these changes will manifest themselves, but as a believer that humans are well-suited to the current climatological situation, I can't see any change being likely to give advantage to us — almost all climatological changes will be unpleasant to our situation.
Some people choose instead to believe what they hear through the media, or from someone they respect (regardless of their true expertise as a climatologist), or from a celebrity or public figure, or from their personal experience, or from their non-climatological-expert analysis. Some believe much more strongly in the predictions than the assessment. But in all those differences, people are trying to debate with insufficient information. Belief is irrational and can't be debated: all that can be done is to explain one's rationale and listen to another's rationale and decide for yourself whether you want to change your mind.
Health care, on the other hand, has three sets of experts: one for the health facet, one for the money facet, and one for the moral facet: I have not encountered rigorous scientific analysis from any group, nor on the system as a whole. Doctors (while their medical practice is scientifically based) can only say that most people will live a comfortable life and may need temporary corrective care to maintain that, that any corrective effort is exponentially less severe the earlier it is started, and that a few people will require more constant care to permit a comfortable existence. Insurance companies and nations with nationalized health systems provide data indicating cost; as best I can tell, any system has approximately the same cost across its whole population. Finally, philosophers can provide the moral facet by asking, "is health valuable?" The answer transcends the other two groups as doctors' Hippocratic oath implicitly declares it so, and it is certainly a lucrative proposition as no parent would keep any wealth or a specific possession in preference to their child's life and health.
Without the benefit of a quality analysis, we are left to muddle through argument without full knowledge, again leaning on belief. Do we have more faith in government or corporations (as if they are different masters)? Should we help strangers? Will people we don't know exploit our generosity? Would we be willing to watch our own child die? Would we wish that on someone else?
My point of this exercise is to say that we all select where we get our knowledge and we use our beliefs to decide which knowledge informs our decisions. Implicit in that statement is my own belief that rational, reasoned discourse is the superior form of changing opinions.
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