Convincing An Illogical Being

There is a person who rejects logic as a valid way of making decisions. This person is perfectly capable of understanding logical arguments, but chooses to reject them.

Is there any way to convince this person that logic is not necessarily a bad thing?

The reason I bring this up is that there is a significant percentage of the population who thinks that using logic is bad, and thinks that they will make better decisions simply by relying on emotions. I think we should clarify if there is anything we as a community could say to these people to help them accept the idea of logic.

Trying to convince them using purely logical methods would not work, as they reject logic. The idea is similar to that of trying to prove that a system of mathematics works without using math. I believe that the proof for this is looking at the real world, and seeing the results math predicts.

The obvious application would be to show how using logic has better results than going by pure emotions. However, doing that would also seem like a logical argument, and would most likely also get rejected. Is succeeding at swaying such an individual even possible?

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