Justice Considered as a Symplectic Manifold: June 18, 2015Posted by stuffilikenet in Awesome, Brilliant words, Geek Stuff, Uncategorizable.
Alternating symmetry, no local invariants but everywhere orientable. And mercy? Not lumpy but curly.
From The List That Cannot Be Named:
> But if the quality of mercy is not strained, how is it prevented from being lumpy?
Weren’t we just discussing this? Let justice be a mapping from aggravations to retributions. Recall that Exodus tells us "an eye for an eye, a tooth for a
tooth". This suggests the mapping is structure-preserving. (Q. does Mos have coproducts?)
Legal systems generally recognize that injuries are asymmetric. This suggests the mapping is alternating. (Ex. verify the difficulty of recovering damages from oneself)
The Battle Hymn of the Republic mentions the Groups of Wrath. This suggests we can come up with a basis for the mapping. (Q. the Groups of Wrath are often depicted as purple; are they in fact abelian?)
Under the exponential, we can then examine a range of justices, from the Mikado’s (retribution-increasing) through the Mosaic (unital) and the Nazaretic ("turn at least one other cheek") to the Epitectic ("didn’t I tell you, if you kept that up, you were going to break my leg?"), and we call the retribution-decreasing cone in this space "mercy". But due to the structure-preservation, all these justices are scalar multiples of each other. (Ex. check that mercy is well- defined)
Mercy is not lumpy, by definition.