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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.

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4Open: Special Issue: Intro. to Logical Entropy

4Open is a relatively new open access interdisciplinary journal (voluntary APCs) covering the 4 fields of mathematics, physics, chemistry, and biology-medicine. A special issue on Logical Entropy was...

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Marcora Law for Europe

There is a time-tested solution in Spain and Italy that provides liquidity to such enterprises in a democratic manner by establishing employee ownership schemes. The new source of liquidity is allowing...

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Abstraction in Math and Superposition in QM

Abstraction turns equivalence into identity, but there are two ways to do it. The goal is to use the second notion of abstraction to shed some light on the notion of an inde…finite superposition in...

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European ESOP

The American Employee Stock Ownership Plan or ESOP is a leveraged buyout mechanism so that the employees in a company can, in effect, do a leveraged buyout of part or eventually all of their own...

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Partitions, Objective Indefiniteness, and Quantum Reality

  This paper, published in the International Journal for Quantum Foundations, is a shorter introductory paper following up on my recent “Follow the Math!” paper in the Foundations of Physics. The point...

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“Follow the Math” Preprint

The slogan ``Follow the money" means that finding the source of an organization's or person's money may reveal their true nature. In a similar sense, we use the slogan ``Follow the math!" to mean that...

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The new partitional approach to (literally) interpreting quantum mechanics

This paper presents a new `partitional' approach to understanding or interpreting standard quantum mechanics (QM). The thesis is that the mathematics (not the physics) of QM is the Hilbert space...

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Kaldor-Hicks Petitio Principii Fallacy

This paper shows that implicit assumptions about the numeraire good in the Kaldor–Hicks efficiency–equity analysis involve a ‘‘same-yardstick’’ fallacy (a fallacy pointed out by Paul Samuelson in...

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The Born Rule is a feature of Superposition

The Born Rule arises naturally out of the mathematics of probability theory enriched by superposition events. It does not need any more-exotic or physics-based explanation. No physics was used in the...

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Heteromorphic Approach to Adjunctions

Saunders Mac Lane famously remarked that “Bourbaki just missed” formulating adjoints in a 1948 appendix (written no doubt by Pierre Samuel) to an early draft of Algebre–which then had to wait until...

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New Logic & New Approach to QM

The new logic of partitions is dual to the usual Boolean logic of subsets (usually presented only in the special case of the logic of propositions) in the sense that partitions and subsets are...

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Worker Cooperatives and other so-called “Cooperatives”

Most cooperative organizations today do not exemplify any cooperative activity; non-worker cooperatives do not represent any cooperative activity of the members since the only joint activity of the...

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Talk Slides about European ESOP

These are slides from a talk about the European ESOP (Employee Stock Ownership Plan) developed by the Institute for Economic Democracy in Ljubljana, Slovenia.

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A Pedagogical Model of Quantum Mechanics Over Sets

The new approach to quantum mechanics (QM) is that the mathematics of QM is the linearization of the mathematics of partitions (or equivalence relations) on a set. This paper develops those ideas using...

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