Conscience is an essential human attribute. Nevertheless, in the construction of formal models of the subject it is customarily left outside the framework of theoretical analysis. The Algebra of Conscience, whose first edition appeared in 1982, was the first specialized work modeling the phenomenon of conscience. The method used in this book made it possible to connect moral experience with decision-making procedures on the level of mathematical models. The application of such models allows us to propose the hypothesis of two fundamentally different ethical systems determining the normative patterns of human behavior in situations of conflict. Under the first ethical system the subject's self-esteem is raised if the subject seeks to resolve the conflict; in the second it is raised by seeking to dramatize the conflict. The new edition of The Algebra of Conscience is significantly expanded. The second part of the book, devoted to moral choice, is completely new. Based on the theory presented in the first part, it constructs the model of a subject capable of making an intentional choice. A special variable corresponds to the subject's intention. This development allows us to include within the model freedom of will and freedom of choice, and also to generalize classical 2×2 game theory to the case where outcomes, in addition to having utility measures, are either `positive' or `negative.' In its concluding chapters the book constructs a dynamic model of the intentional subject faced with a choice between two alternatives, neither of which is morally acceptable for the subject. It is shown that in this case the probabilities of choice of the alternatives may change chaotically. From this it follows that one cannot predict which alternative will be chosen or even the probabilities with which they will be chosen. Audience: The book is addressed to a broad readership having elementary knowledge of mathematical logic and the theory of probability. It can be used in college courses studying the modelling of moral choice. The book's material can also be used in the design of artificial intelligence systems.

Revised Edition with a Second Part with a new Foreword by Anatol Rapoport

In this book two ethical systems are described in the language of mathematics. Ordinarily mathematics is thought to be a science of quantity. Indeed, manipulation of quantities constitutes much of mathematics. Elementary applied mathematics deals with reckoning and measurement, where concrete quantities are objects of attention, such as counting sheep or weighing corno But the operations on these quantities are performed with the help of symbols, from which concrete referents have been 'abstracted out': 3 + 5 = 8 regardless of whether the symbols stand for numbers of sheep or tons of corno Thus, the first principle that exhibits the power of mathematics is abstraction. It is one ofthe three pillars on which the edifice of mathematics rests. Another pillar is precision. Ordinarily, man communicates by words. W ords serve communication to the extent that they refer to things, events, states of affairs, feelings of the speaker, and so on. These are the meanings attributed to words. Communication is successful to the extent that the meanings coded upon words by the speaker correspond to the meanings decoded by the hearer. As is weH known, the degree ofthis correspondence varies enormously in different contexts of discourse and with the back grounds or attitudes of the speakers and hearers. Mathematics is a language in which the meanings ofthe symbols (the 'words' ofthis language) are absolutely precise. This precision is achieved by abstraction. Abstract terms are defined by their relations to other terms and by nothing else.

This book covers the material of an introductory course in linear algebra. Topics include sets and maps, vector spaces, bases, linear maps, matrices, determinants, systems of linear equations, Euclidean spaces, eigenvalues and eigenvectors, diagonalization of self-adjoint operators, and classification of matrices. It contains multiple choice tests with commented answers.

Generating Images of Stratification is a self-contained presentation of a theoretical research program that deals with a significant explanatory problem relating to social inequality and that constructs generative theoretical models in doing so. In more detail: -Self-contained presentation - In respect to the background sociological facts and theoretical ideas and also the formal methods the book provides clear and simple accounts accompanied by examples. - A theoretical research program - The emphasis is on theory development, involving a series of theoretical models constructed within a core framework of principles and methods. - Deals with a significant explanatory problem relating to social inequality - We know from research that how people perceive the stratification system of a society depends upon their position in that system. So the problem is: What process generates this regularity and thereby explains empirical generalizations about the social structuration of images? - Constructs generative theoretical models - The book is an extended presentation of "generative theory" in sociology, a formal method of producing effective theoretical explanations. Generating Images of Stratification is of interest to mathematical sociologists and formal theorists in sociology; sociologists interested in social stratification; methodologists, both in sociology and in other fields; philosophers of social science; and theoretical scientists and mathematicians who are interested in applying their analytical tools to social science topics.

The Nazi's never surrendered and planned their 4th Reich using neurocognitive weapons. Going underground their technology made it's way to S. America, the Soviet Union, the United States, among other places. We all are bound by the new rules of corporate fascism, long planned by Himmler, and his main strategy for a 4th Reich, financial control. Are we all just living in a computer-controlled information battlespace continued from World War II? This book dissects the matrix of control used by advanced military industrial powers; it breaks down the technology bit by bit so you have an understanding how technology is being used in a battle for your mind. I address these issues from a veteran's insight as a former Signal Intelligence specialist and with some background in the Intelligence Community, I bring forth countermeasures to this control, showing you how you can safeguard your mind from these attacks. Countermeasures that are not available anywhere in the commercial world, yet without them you will be easy prey for these directed targeted pulse modulated attacks first used by the Nazis.

In The Will to Predict, Eglė Rindzevičiūtė demonstrates how the logic of scientific expertise cannot be properly understood without knowing the conceptual and institutional history of scientific prediction. She notes that predictions of future population, economic growth, environmental change, and scientific and technological innovation have shaped much of twentieth and twenty-first-century politics and social life, as well as government policies. Today, such predictions are more necessary than ever as the world undergoes dramatic environmental, political, and technological change. But, she asks, what does it mean to predict scientifically? What are the limits of scientific prediction and what are its effects on governance, institutions, and society? Her intellectual and political history of scientific prediction takes as its example twentieth-century USSR. By outlining the role of prediction in a range of governmental contexts, from economic and social planning to military strategy, she shows that the history of scientific prediction is a transnational one, part of the history of modern science and technology as well as governance. Going beyond the Soviet case, Rindzevičiūtė argues that scientific predictions are central for organizing uncertainty through the orchestration of knowledge and action. Bridging the fields of political sociology, organization studies, and history, The Will to Predict considers what makes knowledge scientific and how such knowledge has impacted late modern governance.