For example, Aristotle said that the opposite of cowardice is "fool-hardy brashness." So you have a vice called cowardice at one extreme and a vice called brashness at the other extreme, with the virtue of courage right in the middle.

How about generosity -- is it the opposite of stinginess? No, it's the opposite of extravagance -- giving more than you should or more than someone needs or is good for them. The two opposite vices are stinginess and extravagance, with generosity being the virtue in the middle.

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