Book Draft: The Logic of Partitions

This book draft is an introduction to the logic of partitions on a set as well as the (quantum) logic of partitions (direct-sum decompositions or DSDs) on a vector space.

Book draft: Quantum Mechanics over Sets

Quantum mechanics overs sets (QM/ℤ₂ or QM/Sets) is a pedagogical or `toy’ model of finite-dimensional quantum mechanics (QM/ℂ) that reproduces in the simplified setting of vector spaces over ℤ₂ the essentials of projective measurements, the double-slit experiment, the indeterminacy principle, entanglement, Bell’s Theorem, the statistics of indistinguishable particles, and so forth,

Using ESOPs to Democratize Labor-Based Platforms

Our purpose is to propose another complementary approach, which is democratizing and adapting the Employee Stock Ownership Plan to gain co-ownership in the local subsidiaries of the labor-based platforms (LBP). This option puts a new tool in the hands of the municipal and national authorities that could regulate the platform sector.

Less-Known Supporters of Workplace Democracy

his paper, published as an editorial in the Journal for Participation and Employee Ownership collects together extensive quotations and extracts from 19th and 20th century thinkers who were little-known for being supporters of workplace democracy.

The “Ownership of the Firm” is a Myth (1975)

This paper was originally published in a journal: Ellerman, David. 1975. “The ‘Ownership of the Firm’ Is a Myth.” Administration and Society 7 (1 May): 27–42, and then we immediately reprinted in a collection of essays: Ellerman, David. 1975. “The ‘Ownership of the Firm’ Is a Myth.” In Organizational Democracy : Participation and Self-Management, edited by David Garson and Michael P. Smith. Beverly Hills CA: Sage Publications.

Towards Abolishing the Renting of Persons

This paper is a write-up of a speech given in 2017 at a centennial ‘celebration’ of the 1917 Russian Revolution at the Haus der Kunst in Munich.

Conceptual Errors in the Arrow-Debreu Model

The highly mathematical nature of the Arrow-Debreu and other similar models of general equilibrium hide rather than elucidate the nature of equilibrium in a private property market economy where all factors of production may be purchased or rented.

The Logical Theory of Canonical Maps

The purpose of this paper is to show that the dual notions of elements & distinctions are the basic analytical concepts needed to unpack and analyze morphisms, duality, and universal constructions in the Sets, the category of sets and functions.

Negation and Implication in Partition Logic

Our purpose in this paper is to explore the notions of negation and implication in that other mathematical logic of partitions.

Probability Theory with Superposition Events

In finite probability theory, events are subsets S⊆U of the outcome set. Subsets can be represented by 1-dimensional column vectors. By extending the representation of events to two dimensional matrices, we can introduce “superposition events.”