Zagreb Talk Sept 2014

These are the slides and a video of a talk in Zagreb Sept. 8, 2014 on green issues and ESOPs.

On a fallacy in the Kaldor-Hicks efficiency-equity analysis

This paper shows that implicit assumptions about the numeraire good in the Kaldor-Hicks efficiency-equity analysis involve a “same-yardstick” fallacy.

Parallel Experimentation

The theme of parallel experimentation is used to recast and pull together dynamic and pluralistic theories in economics, political theory, philosophy of science, and social learning.

Partitions and Objective Indefiniteness in Quantum Mechanics

The problem of interpreting quantum mechanics (QM) is essentially the problem of making sense out of an objectively indefinite reality–that is described mathematically by partitions. Our sense-making strategy is implemented by developing the mathematics of partitions at the connected conceptual levels of sets and vector spaces. Set concepts are transported to (complex) vector spaces to yield the mathematical machinery of full QM, and the complex vector space concepts of full QM are transported to the set-like vector spaces over ℤ₂ to yield the rather fulsome pedagogical model of quantum mechanics over sets or QM/sets.

Talks and papers from 2013

Listing of talks and papers from 2013.

Three Themes about the Mondragon cooperatives

This is a preprint of a paper developing three themes, capital structure, active learning, and spinoffs, with special attention to the Mondragon cooperatives.

Introduction to Partition Logic

This is an introductory treatment of partition logic which also shows the extension to logical information theory and the possible killer application to quantum mechanics.

On Property Theory

This paper is an introduction to property theory including the invisible hand mechanism which handles the initiation and termination of property rights in an on-going private property market economy. The Fundamental Theorem is that when Hume’s conditions of no involuntary transfers and no breached contracts are fulfilled, then the Lockean principle of people getting the fruits of their labor, i.e., imputing legal responsibility in accordance with de facto responsibility is satisfied. The major application is to the current system of a private property market economy based on the renting of persons, i.e., the employment contract.
This is a reprint of the paper in the Journal of Economic Issues in Sept. 2014.

Introduction to Logical Entropy

This paper, a reprint from the International Journal of Semantic Computing, introduces the logical notion of entropy based on the newly developed logic of partitions that is mathematically dual to the usual Boolean logic of subsets (aka “propositional logic”), and compares it to the usual Shannon entropy.

Quantum mechanics over sets

This paper gives a toy model of quantum mechanics over the field 2, where the vectors can be interpreted as subsets of a universe set, and hence the name: “Quantum mechanics over sets.” It gives the “logic” of QM in the old-fashioned sense of the essential logic of a theory pared down to operations on sets (vectors over 2). This includes the simplest logical treatment of the double-slit experiment, Bell’s Theorem, the probability calculus based on Born’s Rule, and much else (all restated in the context of sets).