Mill claims that one does not really hold a conviction unless

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According to Mill, one does not really hold a conviction unless they know both the reasons against it and the reasons for it. This means that simply believing something without understanding the arguments on both sides does not constitute a true conviction. To have a genuine belief in something, one must be aware of the reasons for and against it and have come to a reasoned conclusion based on that knowledge.

Mill Claims That One Does Not Really Hold a Conviction