This is a reprint from the journal Economic Thought of a paper on the labor theory of property and the neoclassial theory of marginal productivity.
Counting Direct-sum Decompositions
March 28, 2016 by
This paper uses elementary methods to derive the formulas for and to tablulate (in the case q = 2) two related q-analogs of the Stirling numbers of the second kind and the Bell numbers for direct-sum decompositions (vector space analogs of set partitions) of a finite vector space over a finite field with q elements.
The Joy of Hets (talk slides)
February 29, 2016 by
These are the slides from a talk on the role of heteromorphisms (hets) in category theory given at the Category Theory Seminar at NYU on January 13, 2016.
Neoclassical Economics as the New Social Engineering
February 29, 2016 by
This is a paper on the role of neoclassical economics in the disastrous “Big Bang” or “shock therapy” advice given by Western academics and Western advisory agencies to the post-socialist countries. It is part of the Oxford Handbook of Professional Economic Ethics.
On Vectorial Marginal Products and Modern Property Theory
December 20, 2015 by
When proposing some unorthodox theory, like the modern labor theory of property, orthodox economists always say: “Show me the math!” Well, here it is.
Does Classical Liberalism Imply Democracy?
December 9, 2015 by
This paper, written for a classical liberal audience, goes into the fault line running down the middle of the doctrine: does classical liberalism imply democracy? The libertarian wing, represented concretely today in the startup or charter cities initiatives, only requires consent (and exit) so the consent could be to a non-democratic pact of subjection. The democratic form of classical liberalism is represented by the mature James M. Buchanan who held that a liberal social order required people to be principals in their organizations who could only delegate but not alienate their rights of self-governance. That distinction is traced back to the Reformation inalienability of conscience that descends through the Enlightenment to modern times in the abolitionist and democratic movements.
PBS Making Sen$e blog: The case for employee-owned companies
November 26, 2015 by
This is the “justice in production” argument in a nutshell posted on the PBS Making Sen$e website.
The Existence-Information Duality
October 30, 2015 by
The development of the logic of partitions (dual to the usual Boolean logic of subsets) and logical information theory bring out a fundamental duality between existence (e.g., elements of a subset) and information (e.g., distinctions of a partition). This leads in a more meta-physical vein to two different conceptions of reality, one of which provides the realistic interpretation of quantum mechanics.
Partition Logic talk slides Ljubljana
September 23, 2015 by
Slides from talk on Partition Logic at University of Ljubljana Sept. 8, 2015.
On the Objective Indefiniteness Interpretation of Quantum Mechanics
August 28, 2015 by
Classical physics and quantum physics suggest two different meta-physical conceptions of reality: the classical notion of a objectively definite reality “all the way down,” and the quantum conception of an objectively indefinite type of reality. Part of the problem of interpreting quantum mechanics (QM) is the problem of making sense out of an objectively indefinite reality. Our sense-making strategy is to follow the math by showing that the mathematical way to describe indefiniteness is by partitions (quotient sets or equivalence relations).