In addition, police supposed to be protectors. Google "police brutality" to see that they aren't protectors all the time. We need special training programs just to show us how to protect ourselves from cops... and we need the guns to do it with, as well.
Alternatively, you could save a step and abolish police altogether, saving lives and everybody's financial resources. It's obvious the government creates crime so they can have an excuse to keep the police.
That's true in some areas, like drug enforcement policy. Name something a crime that people will do regardless. But why do you think it might be true across the board?
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