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)

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.

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.

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.

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 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)

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)

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.

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.

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)

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)

In this paper I wish to propose and defend a form of the Representative Theory of Perception. According to this version of the theory, when a subject perceives some object x to be in a state P1 he does so by being aware of some modfication M1 of some object E. The subject's way of perceiving any one of a range of objects x,y,z, … is that of being aware of some modification of E. It will be a necessary condition (...) of someone's perceiving x to have property P1 that E be modified in some way. And in order for the modifications of E to be representations, a given property P1 will need to be causally related, characteristically, to one or more specific modifications, M1,M2, … Mn, of E. symbolized by ‘X'.). (shrink)

First Published in 1968. Routledge is an imprint of Taylor & Francis, an informa company.

I analyze a number of the quantum no-signalling proofs (Ghirardi et al. 1980, Bussey 1982, Jordan 1983, Shimony 1985, Redhead 1987, Eberhard and Ross 1989, Sherer and Busch 1993). These purport to show that the EPR correlations cannot be exploited for transmitting signals, i.e., are not causal. First, I show that these proofs can be mathematically unified; they are disguised versions of a single theorem. Second, I argue that these proofs are circular. The essential theorem relies upon the tensor product (...) representation for combined systems, which has no physical basis in the von Neumann axioms. Historically, the construction of this representation scheme by von Neumann and Weyl built no-signalling assumptions into the quantum theory. Signalling between the wings of the EPR-Bell experiments is unlikely but is not ruled out empirically by the class of proofs considered. (shrink)

The role of microaggressions has gained increasing philosophical attention in recent years. However, microaggressions only tell part of the story. An often-overlooked component of inequality is the uneven and unjust distribution of microaffirmations. In this paper, I give a new definition of microaffirmations as signals that a recipient belongs to some valued or high-status class. Microaffirmations can—but need not—lead individuals to gain a sense of confidence, belonging, and merit. I then explain the harms of microaffirmations, arguing that when microaffirmations are (...) distributed inequitably, they can have larger ramifications for injustice, harming some vulnerable groups more than others. In addition, microaffirmations can lead individual actors to make choices based on who gives them microaffirmations and where they receive them, and thus can have outsized influence over the direction of an individual’s life because individuals tend to migrate to where they feel valued, appreciated, and included. I then turn to solutions to the problems I raise. I argue we should attend to and attempt to rectify inequalities in microaffirmations because doing so can help ensure not just the absence of negative attention, but also that the presence of positive attention is flowing in a just and equitable way. (shrink)

Practitioners in the vanguard of new economic thinking will also find plenty of useful information in this path-breaking book.