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Most people are illogical because they are not trained to be logical.
Being logical is not human nature. However, enforcing structure over human is not as practical as providing education and training to human, so logic emerges on its own.
This is one of the human fallacies, often the most direct and obvious solution as preferred by human, is the wrong one.
Democracy is a representation of what a majority of (dumb) people think
The dumbest people are the easiest to be cajoled into action with slogans, catchy music and/or fear. They are also the most likely to vote on single issue politics motivated in these ways.They are the least likely to do research and approach a situation pragmatically.
Democracy is not only a representation of the dumber people, and the more intelligent people often manipulate the dumber people to serve the interests of the more intelligent people.
Because the dumbest people are, most often, the loudest.