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This book makes application to the dynamics of arousal and distraction, and to other examples. A modified version of the Kadanoff picture of phase transitions in consciousness emerges from the Morse Function itself in a surprisingly standard manner, closely associated with the breaking of groupoid symmetries driven by fundamental equivalence class algebras. Although this is far indeed from the familiar world of physical theory, it should be possible, on the basis of the probability models developed in the book, to develop new statistical tools for the analysis of observational and empirical data regarding cognition and consciousness.
From the ‘punctuated equilibrium' of Eldrege and Gould, through Lewontin's ‘triple helix' and the various visions and revisions of the Extended Evolutionary Synthesis (EES) of Laland and others, both data and theory have demanded an opening-up of the 1950's Evolutionary Synthesis that so firmly wedded evolutionary theory to the mathematics of gene frequency analysis. It can, however, be argued that a single deep and comprehensive mathematical theory may simply not be possible for the almost infinite varieties of evolutionary process active at and across the full range of scales of biological, social, institutional, and cultural phenomena. Indeed, the case history of 'meme theory' should have raised a red flag that narrow gene-centered models of evolutionary process may indeed have serious limitations. What is attempted here is less grand, but still broader than a gene-centered analysis. Following the instruction of Maturana and Varela that all living systems are cognitive, in a certain sense, and that living as a process is a process of cognition, the asymptotic limit theorems of information and control theories that bound all cognition provide a basis for constructing an only modestly deep but wider-ranging series of probability models that might be converted into useful statistical tools for the analysis of observational and experimental data related to evolutionary process. The line of argument in this series of interrelated essays proves to be surprisingly direct.
This book is a collection of essays that explore commonalities and contrasts between strategy in armed conflict and strategy in public health. The first part uses the asymptotic limit theorems of information and control theories to study strategy as an exchange of messages between adversaries, in the context of underlying power relations. The ‘messages’ to be exchanged are constructed from an ‘alphabet’ of tactics available to each contender, in a large sense. The second part of the book explores four case histories from this perspective, ranging across agribusiness-generated pandemics, through tuberculosis and COVID-19. The final chapter attempts a strategic synthesis applicable more specifically to public health than to the remarkably – and disturbingly -- close parallel of armed conflict. Taking a unique approach to public health tactics and strategy this volume will be of interest to social epidemiologists, public health economists, public policy scientists, as well as public health researchers and practitioners.
This book explores the role of deception, delay, and self-deception in the dynamics of organized conflict, taking a formal approach that hews closely to the asymptotic limit theorems of information and control theories. The resulting probability models can, with some effort—and some confidence—be converted to statistical tools for the analysis of real-time observational and ‘experimental’ data on institutionalized confrontation across both traditional and emerging ‘Clausewitz Landscapes’.
Farming Human Pathogens: Ecological Resilience and Evolutionary Process introduces a cutting-edge mathematical formalism based on the asymptotic limit theorems of information theory to describe how punctuated shifts in mesoscale ecosystems can entrain patterns of gene expression and organismal evolution. The authors apply the new formalism toward characterizing a number of infectious diseases that have evolved in response to the world as humans have made it. Many of the human pathogens that are emerging out from underneath epidemiological control are 'farmed' in the metaphorical sense, as the evolution of drug-resistant HIV makes clear, but also quite literally, as demonstrated by avian influenza's emergence from poultry farms in southern China. The most successful pathogens appear able to integrate selection pressures humans have imposed upon them from a variety of socioecological scales. The book also presents a related treatment of Eigen's Paradox and the RNA 'error catastrophe' that bedevils models of the origins of viruses and of biological life itself.
This book makes formal, detailed, application of what Adams has described as 'the informational turn in philosophy' to the global neuronal workspace (GNW) model of consciousness. It uses an extended statistical model of cognitive process, based on the Shannon-McMillan Theorem and its corollaries, to incorporate the effects of embedding physiological, social, and cultural contextual constraints which operate more slowly than the workspace itself, but severely limit the possible realms available to that workspace, and hence to consciousness itself. The resulting 'biopsychosociocultural' treatment directly addresses criticisms of brain-only models of consciousness which have been raised in cultural psychology and philosophy, while remaining true to the current neuroscience perspective. This is the first formal, comprehensive, and reasonably rigorous, mathematical treatment of the GNW and is the only one to include the effects of embedding contexts in a 'natural' manner.
This book covers a new explanation of the origin of Hamiltonian chaos and its quantitative characterization. The author focuses on two main areas: Riemannian formulation of Hamiltonian dynamics, providing an original viewpoint about the relationship between geodesic instability and curvature properties of the mechanical manifolds; and a topological theory of thermodynamic phase transitions, relating topology changes of microscopic configuration space with the generation of singularities of thermodynamic observables. The book contains numerous illustrations throughout and it will interest both mathematicians and physicists.
An earlier book by Rodrick Wallace entitled Consciousness: A Mathematical Treatment of the Global Neuronal Workspace Model, introduced a formal information-theoretic approach to individual consciousness. This latest book takes a more formal 'groupoid' perspective to its predecessor and generalizes the results presented in that earlier book. It applies a multiple-workspace version of Dr. Wallace’s earlier consciousness model to large-scale institutional cognition.
First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.