Review: Envisioning Real Utopias by Erik Olin Wright

This article is a review of Erik Olin Wright’s 2010 book Envisioning Real Utopias. The review focuses on certain topics such as his understanding of ‘capitalism,’ his conception of worker cooperatives, and the general issues surrounding markets, the Left, and Marxism

Logical Entropy: Introduction to Classical and Quantum Logical Information theory

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 using the distinctions of a partition. All the definitions of simple, joint, conditional and mutual entropy of Shannon information theory are derived by a uniform transformation from the corresponding definitions at the logical level. The purpose of this paper is to give the direct generalization to quantum logical information theory that similarly focuses on the pairs of eigenstates distinguished by an observable, i.e., qudits of an observable. The fundamental theorem for quantum logical entropy and measurement establishes a direct quantitative connection between the increase in quantum logical entropy due to a projective measurement and the eigenstates that are distinguished by the measurement. Both the classical and quantum versions of logical entropy have simple interpretations as “two-draw” probabilities for distinctions. The conclusion is that quantum logical entropy is the simple and natural notion of information for quantum information theory focusing on the distinguishing of quantum states

Information as Distinctions: New Foundations for Information Theory

The logical basis for information theory is the newly developed logic of partitions that is dual to the usual Boolean logic of subsets. The key concept is a "distinction" of a partition, an ordered pair of elements in distinct blocks of the partition. The logical concept of entropy based on partition logic is the normalized counting measure of the set of distinctions of a partition on a finite set--just as the usual logical notion of probability based on the Boolean logic of subsets is the normalized counting measure of the subsets (events). Thus logical entropy is a measure on the set of ordered pairs, and all the compound notions of entropy (join entropy, conditional entropy, and mutual information) arise in the usual way from the measure (e.g., the inclusion-exclusion principle)--just like the corresponding notions of probability. The usual Shannon entropy of a partition is developed by replacing the normalized count of distinctions (dits) by the average number of binary partitions (bits) necessary to make all the distinctions of the partition

The Case for Workplace Democracy

In this chapter I seek to provide a theoretical defense of workplace democracy that is independent from and outside the lineage of Marxist and communist theory. Common to the council movements, anarcho- syndicalism and many other forms of libertarian socialism was the idea “that workers’ self- management was central.” Yet the idea of workers’ control has not been subject to the same theoretical development as Marx’s theory, not to mention capitalist economic theory. This chapter aims to contribute at a theoretical level by providing a justification and defense of self- managed workplaces that is independent of the particular historical tradition of the council movements. There is a clear and definitive case for workplace democracy based on first principles that descends to modern times through the Reformation and Enlightenment in the abolitionist, democratic and feminist movements. By the twentieth century, the arguments had been scattered and lost  – like the bones of some ancient beast scattered in a desert  – partly due to misconceptions, mental blocks and misinterpretations embodied in Marxism, liberalism and economic theory. When one has worked through some of these intellectual roadblocks, then one may be better able to reassemble the case for workplace democracy from well- known first principles developed in the abolitionist, democratic and feminist movements