A. H. Louie's More Than Life Itself is an exploratory journey in relational biology, a study of life in terms of the organization of entailment relations in living systems. This book represents a synergy of the mathematical theories of categories, lattices, and modelling, and the result is a synthetic biology that provides a characterization of life. Biology extends physics. Life is not a specialization of mechanism, but an expansive generalization of it. Organisms and machines share some common features, but organisms (...) are not machines. Life is defined by a relational closure that places it beyond the reach of physicochemical and mechanistic dogma, outside the reductionistic universe, and into the realm of impredicativity. Function dictates structure. Complexity brings forth living beings. (shrink)

This rare publication continues an exploratory journey in relational biology, a study of biology in terms of the organization of networked connections in living systems. It builds on the author's two earlier monographs which looked at the epistemology of life and the ontogeny of life. Here the emphasis is on the intangibility of life, that the real nature of living systems is conveyed not by their tangible material basis but by their intangible inherent processes. Relational biology is the approach that (...) hails 'function dictates structure'; it is mathematics decoded into biological realizations. Therefore, the work begins with a concise introduction to category theory, equiping the reader with the mathematical metalanguage of relation biology. The book is organized around three parts: Part I is a comprehensive study of the most important functor in relational biology, the power set functor. The author lays the set-theoretic foundations of the functorial connections in relational biology, exploring relations, mappings, and set-valued mappings. In Part II, Natural Law receives a new mathematical formulation founded on two axioms: 'Everything is a set.' and 'Every process is a set-valued mapping.' The reader sees how Metabolism-Repair networks, equipped with set-valued processors, expand their role from models of biological entities to generic models of all natural systems. Part III expounds the various shades of invertibility in general, and the inversion of encoding to decoding in particular. A plethora of mathematical and biological examples illustrate the category-theoretic concepts of equivalence and adjunction. This book's algebraic approach to biological models will appeal to researchers and graduate students in mathematics, biology, and the philosophy of science. (shrink)

The democratic principle in its extreme form is the assertation that the mere fact of free birth is alone sufficient to constitute a claim to all offices. It is never the claim of a majority to rule, but it is the demand that every one, whether rich or poor, high- or low-born, shall be equally represented in the constitution. This is what Aristotle calls the principle of numerical equality.-from "Chapter VI: Democracy"One of the most renowned classical scholars of the turn (...) of the 20th century here offers a lucid and highly readable overview of a difficult and little understood aspect of Greek history: its public law, not just how it was structured but how it behaved in action. This 1896 book-perfect for university students, amateur historians, and readers of the history of the law-covers the full range of Greek legal development, from the origin of the city-state and the beginnings of the Greek monarchy to the social and political institutions of the far-flung Greek civilization to the rise of federalism and its long-term historical impact on the cultures that came after.British classical scholar A.H.J. GREENIDGE was a lecturer in ancient history at Brasenose College, Oxford. He is also the author of Roman Public and Private Law (1894), Legal Procedure in Cicero's Time (1901), and Roman Public Life (1901), among many other works of ancient history. (shrink)

Beschouwing vanuit een orthodox-christelijk perspectief.

On Islamic doctrine, teachings and its practice.