Thursday 20 May 2010

Symmetry in Law, Finance, etc--A Wondering

(Thanks to Interactivate)

1. A contract is bilaterally symmetric between the offeror and offeree, precedent and good market memory is translationally symmetric over time, and fairness and justice are rotationally symmetric amongst agents or actors..

2. So what?

3. In most financial-economic and just plain economic analyses of law, scholars usually use vaguely defined terms such as "information asymmetry" to mean one party having information that can be used to one's advantage over the other.

4. The term "symmetry" is rarely defined in financial economics and almost never used in law except to mean "fairness" in a transaction.

5. I contend that our notions of symmetry underlie most of our perceptive, logical, mathematical, philosophical, religious, architectural, physical, chemical, biological, relativistic, quantum mechanical, sexual, etc etc forms of thought.

6. And because symmetry is ideal it is either at the very bottom of all reality ("this is really Kansas") or it will never come into existence except as an ideal in one's mind ("I think this must be Kansas").

7. Either way is ok.

8. Since about the early 1800s, symmetries turned into a body of work called Group Theory and in the mid-20th century became incorporated within an even more general Cateorgy or Topoi theory.

9. Maybe over the next hundred years the social sciences will be re-written from the perspectives and framework of symmetry theory.

10. We might find new meaning to Plato's inscription over the Academy: "Let no one enter who knows no geometry."

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