Bücher von David Ellerman

This book 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. Partitions of a set are categorically dual to subsets of a set. Thus the logic of partitions is, in that sense, the dual to the Boolean logic of subsets (usually presented as the special case of propositional logic).Since partitions can be seen as the inverse image partitions of random variables or numerical attributes, partition logic is the logic of random variables or numerical attributes (abstracted from the actual values). On the lattice of partitions of an arbitrary unstructured set, there is a rich algebraic structure of dual operations of implication and co-implication - resembling a non-distributive version of Heyting and co-Heyting algebras.

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 mathematical treatment of the fundamental theorem about property and contract in jurisprudence that underlies a market economy.The book follows the tradition of John Stuart Mill as the last major political economist who considered the study of property rights as an integral part of economic theory. The conceptual criticisms presented in this book focus on the descriptive and normative misconceptions about property and contracts that are deeply embedded ideology in neoclassical economics, not to mention in the broader society. The book recognizes that the idealized microeconomic theory is not descriptive of reality and focuses its criticism on conceptual mistakes in the theory, which are even clearer due to the idealized nature of the theory. Therefore, the book is a must-read for scholars, researchers, and students interested in a better understanding of jurisprudence in economics, neoclassical microeconomic theory, and political economy in general.

Revolutions in a field of science are often made by outsiders ("trespassers") who are not limited by established approaches. Each essay in this collection shows the fruits of intellectual trespassing in fields such as economics, Kantian ethics, Platonic philosophy, and others.