There is a new theory of information based on logic. The definition of Shannon entropy as well as the notions on joint, conditional, and mutual entropy as defined by Shannon can all be derived by a uniform transformation from the corresponding formulas of logical information theory.
Logical Entropy: Introduction to Classical and Quantum Logical Information Theory
July 15, 2017 by
Logical information theory is the quantitative version of the logic of partitions just as logical probability theory is the quantitative version of the dual Boolean logic of subsets. The resulting notion of information is about distinctions, differences, and distinguishability, and is formalized as the distinctions of a partition (a pair of points distinguished by the partition). This paper is an introduction to the quantum version of logical information theory.
Quantum Logic of Direct-sum Decompositions
June 20, 2017 by
The usual quantum logic, beginning with Birkhoff and Von Neumann, was the logic of closed subspaces of a Hilbert space. This paper develops the more general logic of direct-sum decompositions of a vector space. This allows the treatment of measurement of any self-adjoint operators rather than just the projection operators associated with subspaces.
Reframing the Labor Question
April 13, 2017 by
Subtitle: On Marginal Productivity Theory and the Labor Theory of Property
This paper reframes the labor question according to the normal juridical principle of imputation whose application to property appropriation is the modern treatment of the old natural rights or labor theory of property.
Labor theory of property and predistribution
February 17, 2017 by
This is the online-first publication in Challenge: The Magazine of Economic Affairs of an article on the labor theory of property showing the superficiality of the inequality-debate framing in terms of distribution (i.e., how much is distributed by a firm to labor versus capital) in favor of a framing in terms of what is now called “predistribution”–in this case the question of who is to be the firm in the first place, Capital or Labor.
Alexis de Tocqueville
February 8, 2017 by
Little-known proponents of workplace democracy:
Alexis de Tocqueville (1805-1859)
From Abstraction in Math to Superposition in QM
January 14, 2017 by
This is a draft paper that makes a perhaps surprising connection between the old Platonic notion of a paradigm-universal like ‘the white thing’ and an indefinite superposition state in quantum mechanics.
Review of Erik O. Wright’s Envisioning Real Utopias
January 9, 2017 by
I rarely review books and almost never books by Marxists. However, in order to comment on a presentation at a conference, I decided to write up my extensive comments in the form of a book review of Erik Olin Wright’s Envisioning Real Utopias.
Review of Dahl’s Preface to Economic Democracy
January 9, 2017 by
This is my review in Commonweal of Robert A. Dahl’s 1985 book Preface to Economic Democracy shortly after it was published.
Knowledge and Institutional Change
January 5, 2017 by
This paper attempts set forth systematically some of the knowledge questions that determine certain strategies for institutional change.