10,856 research outputs found
Experiments in Distributive Justice and Their Limits
Mark Pennington argues political systems should be decentralized in order to facilitate experimental learning about distributive justice. Pointing out the problems with Pennington's Hayekian formulation, I reframe his argument as an extension of the Millian idea of 'experiments in living.' However, the experimental case for decentralization is limited in several ways. Even if decentralization improves our knowledge about justice, it impedes the actual implementation of all conceptions of justice other than libertarianism. I conclude by arguing for the compatibility of egalitarian redistribution with the epistemic virtues of markets pointed out by Hayek
Review of the New Communities Program: Toward Effective Implementation of Neighborhood Plans
Evaluates the progress of the New Communities Program, an initiative to revitalize sixteen Chicago neighborhoods, and recommends extending the MacArthur Foundation's financial support through another five-year grant
Sums of two -units via frey-hellegouarch curves
In this paper, we develop a new method for finding all perfect powers which
can be expressed as the sum of two rational S-units, where S is a finite set of
primes. Our approach is based upon the modularity of Galois representations
and, for the most part, does not require lower bounds for linear forms in
logarithms. Its main virtue is that it enables to carry out such a program
explicitly, at least for certain small sets of primes S; we do so for S = {2,
3} and S = {3, 5, 7}.Comment: Missing solution in Prop. 5.4 added. To appear in Mathematics of
Computatio
Extremal families of cubic Thue equations
We exactly determine the integral solutions to a previously untreated
infinite family of cubic Thue equations of the form with at least
such solutions. Our approach combines elementary arguments, with lower
bounds for linear forms in logarithms and lattice-basis reduction
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