This book presents a new ‘partitional' approach to understanding or interpreting the math of standard quantum mechanics (QM). The thesis is that the mathematics (not the physics) of QM is the Hilbert space version of the math of partitions on a set and, conversely, the math of partitions is a skeletonized set level version of the math of QM. Since at the set level, partitions are the mathematical tool to represent distinctions and indistinctions (or definiteness and indefiniteness), this a...

David Ellerman relates a deep theoretical groundwork for a philosophy of development, while offering a descriptive, practical suggestion of how goals of development can be better set and met. Beginning with the assertion that development assistance agencies are inherently structured to provide help that is ultimately unhelpful by overriding or undercutting the capacity of people to help themselves, David Ellerman argues that the best strategy for development is a drastic reduction in devel...

This book presents an integrated jurisprudential critique of neoclassical microeconomic theory. It explains what is ‘really wrong’ with the theory both descriptively, as well as normatively. The criticism presented is based on questions of jurisprudence, and on neoclassical theory’s sins of omission and commission concerning the underlying system of property and contract. On the positive side - while the presentation is almost entirely non-mathematical - the book contains the first mathema...

This monograph offers a new foundation for information theory that is based on the notion of information-as-distinctions, being directly measured by logical entropy, and on the re-quantification as Shannon entropy, which is the fundamental concept for the theory of coding and communications.Information is based on distinctions, differences, distinguishability, and diversity. Information sets are defined that express the distinctions made by a partition, e.g., the inverse-image of a...

When this book was first published in 1990, there were massive economic changes in the East and significant economic challenges to the West. This critical analysis of democratic theory discusses the principles and forces that push both socialist and capitalist economies toward a common ground of workplace democratization.This book is a comprehensive approach to the theory and practice of the "Democratic firm" – from philosophical first principles to legal theory and finally to some...

This book argues for the abolition of the employment system in favor of workplace democracy and thus escapes the usual capitalism-versus-socialism binary choice by reframing the basic issue as the employment contract, not private property or a market economy.The author repositions the political and economic debate in the lineage of abolitionism - against the owning of other people - which in its modern version of neo-abolitionism would also abolish the renting, or hiring, employing...

With the dissolution of the Soviet Empire, it seemed that market capitalism had triumphed and that democracy might replace authoritarian regimes. Economic reformers in the former Eastern Bloc rushed to liberalize prices and transfer state assets to private hands. They assumed that private owners in a market setting would have no choice but to behave rationally_that is, to invest in restructuring privatized enterprises so as to maximize profits. They also assumed that these owners would per...

The author argues for the virtues of diversity in cities, organizations, strategies for development, and human discourse in general. The opening chapter develops the vision of Jane Jacobs (the "diva of diversity") for the development of city regions. Many of the later chapters are based on the author's ten years in the World Bank and Senior Advisor and speechwriter for Joseph Stiglitz. Many of the problems in the World Bank's policies were based on a narrow ideological vision that did not ...

The purpose of this book is to present systematically all known mathematical results on Gibbs measures on Cayley trees (Bethe lattices).The Gibbs measure is a probability measure, which has been an important object in many problems of probability theory and statistical mechanics. It is the measure associated with the Hamiltonian of a physical system (a model) and generalizes the notion of a canonical ensemble. More importantly, when the Hamiltonian can be written as a sum of parts, the Gib...

Wick ordering of creation and annihilation operators is of fundamental importance for computing averages and correlations in quantum field theory and, by extension, in the Hudson–Parthasarathy theory of quantum stochastic processes, quantum mechanics, stochastic processes, and probability. This book develops the unified combinatorial framework behind these examples, starting with the simplest mathematically, and working up to the Fock space setting for quantum fields. Emphasizing ideas fro...

The revolutionary study of how the place where we grew up shapes the way we think, feel, and act-- with new dimensions and perspectivesBased on research conducted in more than seventy countries over a forty-year span, Cultures and Organizations examines what drives people apart—when cooperation is so clearly in everyone’s interest. With major new contributions from Michael Minkov’s analysis of data from the World Values Survey, as well as an account of the...

Written by noted quantum computing theorist Scott Aaronson, this book takes readers on a tour through some of the deepest ideas of maths, computer science and physics. Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of ...