Primitive Law and Order

Sanctions, Law and Public Order

Order Statistics and Benford's Law

Fix a base B > 1 and let ζ have the standard exponential distribution; the distribution of digits of ζ base B is known to be very close to Benford’s law. If there exists a C such that the distribution of digits of C times the elements of some set is the same as that of ζ, we say that set exhibits shifted exponential behavior base B. Let X1, . . . , XN be i.i.d.r.v. If the Xi’s are Unif, then as...

Law and order in algorithmics

LAW and ORDER in ALGORITHMICS An algorithm is the input-output effect of a computer program; mathematically, the notion of algorithm comes close to the notion of function. Just as arithmetic is the theory and practice of calculating with numbers, so is ALGORITHMICS the theory and practice of calculating with algorithms. Just as a law in arithmetic is an equation between numbers, like a(b + c) =...

An Evolutionary Contractarian View of Primitive Law: The Institutions and Incentives Arising Under Customary Indian Law

The European conquest and absorption of native American Indian groups obviously produced tremendous changes in the way Indians live and interact with one another. One very important source of change in Indian life was the changes in the rules and institutions of Indian law. Few Indian groups had any sort of strong central legal authority before Europeans began to exert various types of influenc...

Point-primitive Inversive Planes of Odd Order

A famous but still unsolved problem in finite geometries is the question of whether a finite inversive plane J of odd order n is necessarily miquelian, that is, it arises from the plane sections of an elliptic quadric in PG(3,«). The question has been approached from different angles, and it has a positive answer if suitable conditions are added to J. The most classical result in this context i...