Quantum computers use the quantum interference of different computational paths to enhance correct outcomes and suppress erroneous outcomes of computations. In effect, they follow the same logical paradigm as (multi-particle) interferometers. We show how most known quantum algorithms for factorising and counting, may be cast in this manner. Quantum searching is described as inducing a desired relative phase between two eigenvectors to yield constructive interference on the sought elements and destructive interference on the remaining terms.

David Lewis’s analysis of “can” in “The Paradoxes of Time Travel” (Lewis, American Philosophical Quarterly, 13, 145–52, 1976) has been widely accepted both as a definitive analysis of “can” and as a successful resolution of the Grandfather Paradox for time travel. I argue that the central feature of his analysis puts it on all fours with a fallacy frequently imputed to fatalists such as Richard Taylor. I go on to consider two moves that might be made to avoid the (...) fallacy, arguing that one of them leads to the unavailability of an all-things-considered “can” and the other to a new primitive modality, not analyzable in Lewis’s way. (shrink)

David Lewis’s analysis of “can” in “The Paradoxes of Time Travel” has been widely accepted both as a definitive analysis of “can” and as a successful resolution of the Grandfather Paradox for time travel. I argue that the central feature of his analysis puts it on all fours with a fallacy frequently imputed to fatalists such as Richard Taylor. I go on to consider two moves that might be made to avoid the fallacy, arguing that one of them leads (...) to the unavailability of an all-things-considered “can” and the other to a new primitive modality, not analyzable in Lewis’s way. (shrink)

Descartes's view that the eternal truths of mathematics and logic have been established by God and depend on his will does not merely commit him (as some commentators have suggested) to denying that such truths are necessarily necessary; it abolishes their necessity altogether. For similar reasons, some contemporary views also unwittingly abolish necessity.

This classic, provocative introduction to classical metaphysical questions focuses on appreciating the problems, rather than attempting to proffer answers.

The Exchange of Words is a philosophical exploration of human testimony, specifically as a form of intersubjective understanding in which speakers communicate by making themselves accountable for the truth of what they say. This account weaves together themes from philosophy of language, moral psychology, action theory, and epistemology, for a new approach to this basic human phenomenon.

Two notable thought experiments are discussed in this article: Reid's thought experiment about whether a being supplied with tactile sensations alone could acquire the conception of extension and Strawson's thought experiment about whether a being supplied with auditory sensations alone could acquire the conception of mind-independent objects. The experiments are considered alongside Campbell's argument that only on the so-called relational view of experience is it possible for experiences to make available to their subjects the concept of mind-independent objects. I consider (...) how the three issues ought to be construed as raising questions about woulds, coulds, or shoulds. (shrink)

The paper argues for the centrality of believing the speaker (as distinct from believing the statement) in the epistemology of testimony, and develops a line of thought from Angus Ross which claims that in telling someone something, the kind of reason for belief that a speaker presents is of an essentially different kind from ordinary evidence. Investigating the nature of the audience's dependence on the speaker's free assurance leads to a discussion of Grice's formulation of non-natural meaning in an epistemological (...) light, concentrating on just how the recognition of the speaker's self-reflexive intention is supposed to count for his audience as a reason to believe P. This is understood as the speaker's explicitly assuming responsibility for the truth of his statement, and thereby constituting his utterance as a reason to believe. (shrink)

In this volume Rorty offers a Deweyan account of objectivity as intersubjectivity, one that drops claims about universal validity and instead focuses on utility for the purposes of a community. The sense in which the natural sciences are exemplary for inquiry is explicated in terms of the moral virtues of scientific communities rather than in terms of a special scientific method. The volume concludes with reflections on the relation of social democratic politics to philosophy.

Richard Swinburne offers an original treatment of a question at the heart of epistemology: what makes a belief rational, or justified in holding? He maps the rival accounts of philosophers on epistemic justification ("internalist" and "externalist"), arguing that they are really accounts of different concepts. He distinguishes between synchronic justification (justification at a time) and diachronic justification (synchronic justification resulting from adequate investigation)--both internalist and externalist. He also argues that most kinds of justification are worth having because they are (...) indicative of truth; however, it is only justification of internalist kinds that can guide a believer's actions. Swinburne goes on to show the usefulness of the probability calculus in elucidating how empirical evidence makes beliefs probably true. (shrink)

James Van Cleve examines the main topics from Kant's Critique of Pure Reason, such as transcendental idealism, necessity and analyticity, space and time, substance and cause, noumena and things-in-themselves, problems of the self, and rational theology. He also discusses the relationship between Kant's thought and that of modern anti-realists, such as Putnam and Dummett. Because Van Cleve focuses upon specific problems rather than upon entire passages or sections of the Critique, he makes Kant's work more accessible to the (...) serious student and scholar. (shrink)

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This paper explores some aspects of the relation between different ways of achieving a consensus on the judgemental values of a group of indviduals; in particular, aggregation and deliberation. We argue firstly that the framing of an aggregation problem itself generates information that individuals are rationally obliged to take into account. And secondly that outputs of the deliberative process that this initiates is in tension with constraints on consensual values typically imposed by aggregation theory, at least when deliberation is modelled (...) as process of learning from others compatible with Bayesian updating principles. (shrink)

Atheism is a familiar kind of skepticism about religion. Moral error theory is an analogous kind of skepticism about morality, though less well known outside academic circles. Both kinds of skeptic face a "what next?" question: If we have decided that the subject matter (religion/morality) is mistaken, then what should we do with this way of talking and thinking? The natural assumption is that we should abolish the mistaken topic, just as we previously eliminated talk of, say, bodily humors and (...) unicorns. The fictionalist, however, offers a less obvious recommendation. According to the fictionalist, engaging in the topic in question provides pragmatic benefits that do not depend on its truth-in a way roughly analogous to engaging with a novel or a movie. The religious fictionalist maintains that even if we were atheists, we should carry on talking, thinking, and acting as if religion were true. The moral fictionalist maintains a similar view regarding moral talk, thought, and action. Both forms of fictionalism face serious challenges. Some challenges can be levelled at either form of fictionalism (or at any form of fictionalism), whereas others are problems unique to moral fictionalism or to religious fictionalism. There are important questions to be asked about the relationship between these two kinds of fictionalism. Could moral fictionalism be plausible even if religious fictionalism is not (or vice versa)? This is a volume of thirteen previously unpublished papers on the topics of religious fictionalism, moral fictionalism, and the relation between these views. (shrink)

This book brings together twenty articles giving a comprehensive view of the work of the Aristotelian commentators.... The importance of the commentators is partly that they represent the thought and classroom teaching of the Aristotelian and Neoplatonist schools and partly that they provide a panorama of a thousand years of anicient Greek philosophy, revealing many original quotations from lost works. Even more significant is the profound influence... that they exert on later philosophy, Islamic and Western. Not only did they preserve (...) anti-Aristotelian marterial which helped inspire Medieval and Renaissance science, but they presented Aristotle in a form that made him acceptable to the Christian Church. It is not Aristotle, but Aristotle transformed and embedded in the philosophy of the commentators, that so often lies behind the views of later thinkers. --From book jacket. (shrink)

James Van Cleve here shows why Thomas Reid (1710-96) deserves a place alongside the other canonical figures of modern philosophy. He expounds Reid's positions and arguments on a wide range of topics, taking interpretive stands on points where his meaning is disputed and assessing the value of his contributions to issues philosophers are discussing today. -/- Among the topics Van Cleve explores are Reid's account of perception and its relation to sensation, conception, and belief; his nativist account of (...) the origin of the concepts of space and power; his attempt to clear the way for the belief that the things we directly perceive are external things, not ideas in our minds; his stand on the distinction between primary and secondary qualities; his account of his externalist reply to philosophical skepticism, his volitional theory of action, his use of the distinction between event causation and agent causation to understand freedom of the will, and his criticism of Hume and anticipation of Moore on the analysis of moral judgment. -/- The most comprehensive work on Reid in a quarter century, this book will be welcomed by students of early modern philosophy, epistemology, the philosophy of perception, and the philosophy of action. (shrink)

In his final work, Richard Rorty provides the definitive statement of his political thought. Rorty equates pragmatism with anti-authoritarianism, arguing that because there is no authority we can rely on to ascertain truth, we can only do so intersubjectively. It follows that we must learn to think and care about what others think and care about.

Richard Swinburne presents a powerful new case for substance dualism and for libertarian free will. He argues that pure mental events are distinct from physical events and interact with them, and claims that no result from neuroscience or any other science could show that interaction does not take place. Swinburne goes on to argue for agent causation, and claims that it is we, and not our intentions, that cause our brain events. It is metaphysically possible that each of us (...) could acquire a new brain or continue to exist without a brain; and so we are essentially souls. Brain events and conscious events are so different from each other that it would not be possible to establish a scientific theory which would predict what each of us would do in situations of moral conflict. Hence, we should believe that things are as they seem to be: that we make choices independently of the causes which influence us. It follows that we are morally responsible for our actions. (shrink)

_Heidegger_ is a classic introduction to Heidegger's notoriously difficult work. Truly accessible, it combines clarity of exposition with an authoritative handling of the subject-matter. Richard Polt has written a work that will become the standard text for students looking to understand one of the century's greatest minds.