It is a common moral conviction that it is better to let many guilty people go free than to wrongly imprison a single innocent person. My understanding is that this principle underlies the presumption of innocence in criminal trials. I can see that this strikes us as profoundly right, but I'm not sure why. I mean, off the top of my head it seems fairly easy to refute it along a crudely utilitarian line: all we need is to suppose that the guilty parties are liable to do harm enough to outweigh the suffering of the wrongly imprisoned innocent party.
Setting aside the question of
Setting aside the question of whether the principle 'better to let many guilty go free than to wrongly imprison a single innocent person' is the rationale for the presumption of innocence, that utilitarians would reject the principle is not as clearcut as you appear to assume. We seem to be considering two possibilities:
(a) letting some number of guilty persons (you say 'many') go free but thereby ensuring that an innocent person is not punished
(b) punishing an innocent person but ensuring that 'many' guilty persons are also punished
For utilitarians, the question of whether (a) or (b) is morally preferable will turn on empirical facts or tendencies. You suggest that utilitarians will opt for punishing the guilty even at the cost of punishing the innocent "if the guilty parties are liable to do harm enough to outweigh the suffering of the wrongly imprisoned innocent party." I suspect this move overlooks two factors that might tilt the balance of costs and benefits (happiness and unhappiness) in...
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