Reasoning under uncertainty, that is, making judgements with only partial knowledge, is a major theme in artificial intelligence. Professor Paris provides here an introduction to the mathematical foundations of the subject. It is suited for readers with some knowledge of undergraduate mathematics but is otherwise self-contained, collecting together the key results on the subject, and formalising within a unified framework the main contemporary approaches and assumptions. The author has concentrated on giving clear mathematical formulations, analyses, justifications and consequences of the (...) main theories about uncertain reasoning, so the book can serve as a textbook for beginners or as a starting point for further basic research into the subject. It will be welcomed by graduate students and research workers in logic, philosophy, and computer science as a textbook for beginners, a starting point for further basic research into the subject, and not least, an account of how mathematics and artificial intelligence can complement and enrich each other. (shrink)

This book has been considered by academicians and scholars of great significance and value to literature. This forms a part of the knowledge base for future generations. So that the book is never forgotten we have represented this book in a print format as the same form as it was originally first published. Hence any marks or annotations seen are left intentionally to preserve its true nature.

J. B. Schneewind's "The Invention of Autonomy" has been hailed as a major interpretation of modern moral thought. Schneewind's narrative, however, elides several serious interpretive issues, particularly in the transition from late medieval to early modern thought. This results in potentially distorted accounts of Thomas Aquinas, Hugo Grotius, and G. W. Leibniz. Since these thinkers play a crucial role in Schneewind's argument, uncertainty over their work calls into question at least some of Schneewind's larger agenda for the history of ethics.

"The Laws", Plato's most lengthy dialogue, has longbeen regarded as the most comprehensive explanation of the possible consequences of a practical application of his philosophy.We might expect the first question Plato ponders to be "What is Law?" Instead, the question posed is "Who is given the credit for laying down your laws?"We are privy to an interaction between a powerfulstatesman and an Athenian philosopher on theisland of Crete. We watch as a plan for a new political order is worked out (...) that embodiesmany of the issues that we still struggle withtoday, such as the status of women, the statusof homosexuals, the family, criminal law, andthe role of religion in a healthy society.We at Timeless Classic Books hope that you enjoy this ancient thought-provoking story that may change the way you think about modern day issues.(Timeless Classic Books). (shrink)

We examine the closure conditions of the probabilistic consequence relation of Hawthorne and Makinson, specifically the outstanding question of completeness in terms of Horn rules, of their proposed (finite) set of rules O. We show that on the contrary no such finite set of Horn rules exists, though we are able to specify an infinite set which is complete.

In this era of increased polarization of opinion and contentious disagreement, CRITICAL REASONING presents a cooperative approach to critical thinking and formation of beliefs. CRITICAL REASONING emphasizes the importance of developing and applying analytical skills in real life contexts. This book is unique in providing multiple, diverse examples of everyday arguments, both textual and visual, including hard to find long argument passages from real-life sources. The book provides clear, step-by-step procedures to help you decide for yourself what to believe--to be (...) a consumer of information in our contemporary "world of experts.". (shrink)

A supertask is a task that consists in infinitely many component steps, but which in some sense is completed in a finite amount of time. Supertasks were studied by the pre-Socratics and continue to be objects of interest to modern philosophers, logicians and physicists. The term “super-task” itself was coined by J.F. Thomson (1954). Here we begin with an overview of the analysis of supertasks and their mechanics. We then discuss the possibility of supertasks from the perspective of general relativity.

We give an account of some relationships between the principles of Constant and Atom Exchangeability and various generalizations of the Principle of Instantial Relevance within the framework of Inductive Logic. In particular we demonstrate some surprising and somewhat counterintuitive dependencies of these relationships on ostensibly unimportant parameters, such as the number of predicates in the overlying language.

In the paper I offer a brief sketch of one of the sources of utilitarianism. Our biological ancestry is a matter of fact that is not altered by the way we describe ourselves. With philosophical theories it is otherwise. Utilitarianism can be described in ways that make it look as if it is as old as moral philosophy – as J. S. Mill thought it was. For my historical purposes, it is more useful to have an account that brings out (...) what is specific about Benthamism and its descendants. Let us try to make do with the following. First, utilitarianism asserts that the fundamental requirement of morality is that we are to maximize good, for everyone and not just for the agent. This basic principle presupposes that it makes sense to think of aggregating goods to make a total, and of comparing amounts of good thus aggregated. Second, the good to be brought about is located in feelings of pleasure, and the evil to be avoided in feelings of pain. These feelings have inherent value or disvalue regardless of how they are caused to exist and regardless of their own consequences. Third, all moral principles can be derived from the requirement that good be maximized. The principles involved in evaluating agents as well as in giving moral direction to action are nothing but applications of the basic principle. (shrink)

This article shows a clear sense in which general relativity allows for a type of ‘machine’ that can bring about a spacetime structure suitable for the implementation of ‘supertasks’. 1Introduction2Preliminaries3Malament–Hogarth Spacetimes4Machines5Malament–Hogarth Machines6Conclusion.

Part I of this two-part paper provided a broad overview of clinical and experimental findings bearing on the neural correlates of conscious processes. It was argued that several neurocognitive models related to: orienting to the outer world, dream sleep, and the integration of sensory-motor representations, converge upon a core ‘conscious system’, dubbed the extended reticular-thalamic activating system . The functions of the ERTAS, which shares extensive projections with the cerebral cortex, are mostly ‘implicit’, in contrast to the explicit representation of (...) conscious content within the neocortex. Part II expands this ERTAS model to encompass: the generation of coherent patterns of EEG activation, the integration of distributed cortical processes into a stream of unified percepts , and selective attention, as well as links between the ERTAS and systems providing the neural substrates for episodic memory and volition. (shrink)

One usually identifies a particular collection of geometric objects with the models of general relativity. But within this standard collection lurk ‘physically unreasonable’ models of spacetime. If such models are ruled out, attention can be restricted to some sub-collection of ‘physically reasonable’ models which can be considered a variant theory of general relativity. Since we have yet to identify a privileged sub-collection of ‘physically reasonable’ models, it is helpful to think of ‘general relativity’ in a pluralistic way; we can study (...) a collection of such ‘physically reasonable’ collections of models. (shrink)

We give a complete characterization of Priest's Finite Inconsistent Arithmetics observing that his original putative characterization included arithmetics which cannot in fact be realized.

A splendid edition. Schneewind's illuminating introduction succinctly situates the _Enquiry_ in its historical context, clarifying its relationship to Calvinism, to Newtonian science, and to earlier moral philosophers, and providing a persuasive account of Hume's ethical naturalism. --Martha C. Nussbaum, Brown University.

This anthology contains excerpts from some thirty-two important seventeenth- and eighteenth-century moral philosophers. Including a substantial introduction and extensive bibliographies, the anthology facilitates the study and teaching of early modern moral philosophy in its crucial formative period. As well as well-known thinkers such as Hobbes, Hume, and Kant, there are excerpts from a wide range of philosophers never previously assembled in one text, such as Grotius, Pufendorf, Nicole, Clarke, Leibniz, Malebranche, Holbach and Paley. Originally issued as a two-volume edition in (...) 1990, the anthology is now re-issued with a new foreword by Professor Schneewind, as a one-volume anthology to serve as a companion to his highly successful history of modern ethics, The Invention of Autonomy. The anthology provides many of the sources discussed in The Invention of Autonomy and taken together the two volumes will be an invaluable resource for the teaching of the history of modern moral philosophy. (shrink)

We answer some problems set by Priest in [11] and [12], in particular refuting Priest's Conjecture that all LP-models of Th(N) essentially arise via congruence relations on classical models of Th(N). We also show that the analogue of Priest's Conjecture for I δ₀ + Exp implies the existence of truth definitions for intervals [0,a] ⊂ₑ M ⊨ I δ₀ + Exp in any cut [0,a] ⊂e K ⊆ M closed under successor and multiplication.

Excerpt from Studies in Human Nature The aim of these studies is to examine with all possible freedom from theoretical bias some phases of human nature which are of great interest in themselves, and in the light of the analysis to draw certain conclusions. It would have been natural to have included in such a series the consideration of certain other aspects of human nature, more especially those which concern morality and civic institutions. Morality and the conditions of citizenship arc (...) in many ways the most important forms of human life which can engage our attention at the present time; and the influence of the recent upheaval in our experience has brought before us many moral problems with a peculiar, and perhaps even a new', prominence. It has seemed better, however, to reserve the consideration of these and kindred subjects for another occasion. It is not the purpose of these papers to defend or support any of the familiarly accepted theories, whether of idealism or realism. Human nature is far more interesting and much more important than any theory, and on that account perhaps is tolerant of many theories. It may be remarked, however, that the momentum which carried forward one peculiar form of idealism - the confident and confiding idealism of a generation ago - seems now to have spent its force; and that a realism which takes the form of a new materialism can hardly claim to be in a position to show a better way. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

This study investigates specific behavioral perceptual differences of ethics between practitioners and students enrolled in sales classes. Respondents were asked to indicate their beliefs to issues related to ethics in sales. A highly significant difference was found between mean responses of students and sales personnel. Managers indicated a greater concern for ethical behavior and less attention to sales than did the students. Students indicated a strong desire for success regardless of ethical constraints violated.

Response to Dale Jamieson's article 'Animal Liberation is an Environmental Ethic' in Environmental Values Vol. 7, No. 1.

In the Foundations of the Metaphysics of Morals Kant presented a method for discovering what morality requires us to do in any situation and claimed that it is a method everyone can use. The method consists in testing one's maxim against the requirement stated in the formulations of the categorical imperative. There has been endless discussion of the adequacy of Kant's method in giving moral guidance, but there has been little effort to situate Kant's view of ethical method in its (...) historical context. In this paper I try to do so. I take the label "method of ethics" from the work of Henry Sidgwick. A method of ethics, he says, is any rational procedure by which we determine what it is right for an individual to do or what an individual ought to do. Since the moralists I want to consider do not all think of morality as rational, I shall broaden the notion by saying that a method is any systematic or regular procedure, rational or not, by which we determine what morality requires... (shrink)