We have encountered, but not quite yet listed, five rules of the geometry of the fifth dimension. The first rule is difference: the world of what is (the first four dimensions) and what ought to be (the fifth) are distinct. They can be brought together only through us, through our bodies. The second is plurality. In the realm of what should be are many virtues, not one. The third rule is intransitivity. The various goods are good for various reasons. The virtues are not reducible to one another. They cannot be ranked. It is not that honesty is better than loyalty; they are simply different.
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