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

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

## Labor theory of property and predistribution

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.