For the purposes of this monograph, "by a degree" is meant a degree of recursive unsolvability. A degree [script bold]m is said to be minimal if 0 is the unique degree less than [script bold]m. Each of the six chapters of this self-contained monograph is devoted to the proof of an existence theorem for minimal degrees.

THE VOLUME CONTAINS PAPERS BY J L MACKIE, JON DORLING, ELIE ZAHAR, LAWRENCE SKLAR, RICHARD Swinburne, Richard A HEALEY, W H NEWTON-SMITH, NANCY CARTWRIGHT, JEREMY BUTTERFIELD, MICHAEL REDHEAD AND PETER GIBBONS. THEY CONCERN THE IMPLICATIONS FOR OUR UNDERSTANDING OF SPACE, TIME AND CAUSATION OF THE DEVELOPMENTS OF MODERN PHYSICS AND ESPECIALLY OF RELATIVITY THEORY AND QUANTUM THEORY.

Richard Cartwright is one of the most clearheaded, astute, and penetrating philosophers in this country. Because of his own strict standards, however, his work has been published only sparingly and is not as well known as he himself is. Philosophical Essays is a welcome first collection. It includes fifteen essays spanning three decades of Cartwright's thought and focusing on central problems in the philosophy of logic, the philosophy of language, and metaphysics. The introduction offers an excellent guide to Cartwright's (...) mode of thought and pedagogical style. Some of these essays are now regarded as classics; six others are published here for the first time. Each of them, from "Macbeth's Dagger" to "Negative Existentials" and "Propositions of Pure Logic" is a model of craftsmanship and clarity of thought. They span a variety of topics, including identity, truths, essence, implication, and philosophical method. Richard Cartwright is Professor of Philosophy and Head of the Department of Linguistics and Philosophy at MIT. (shrink)

Theories of Truth provides a clear, critical introduction to one of the most difficult areas of philosophy. It surveys all of the major philosophical theories of truth, presenting the crux of the issues involved at a level accessible to nonexperts yet in a manner sufficiently detailed and original to be of value to professional scholars. Kirkham's systematic treatment and meticulous explanations of terminology ensure that readers will come away from this book with a comprehensive general understanding of one of philosophy's (...) thorniest set of topics. -/- Included are discussions of the correspondence, coherence, pragmatic, semantic, performative, redundancy, appraisal, and truth-as-justification theories. There are also chapters or sections of chapters on the liar paradox, three-valued logic, Field's critique of Tarski, Davidson's program, Dummett's theory of linguistic competence, satisfaction, recursion, the extension/intension distinction, and an explanation of how theories of justification, properly understood, differ from theories of truth. -/- A persistent theme is that philosophers have too often failed to recognize that not all theories of truth are intended to answer the same question. When the various questions are made distinct, it is apparent that many of the "debates" in this field are really cases of philosophers talking past one another. There is much less disagreement within the field than has commonly been thought. (shrink)

The claim that visually masked, unidentifiable words are analyzed at the level of whole word meaning has been challenged by recent findings indicating that instead, analysis occurs mainly at the subword level. The present experiments examined possible limits on subword analysis. Experiment 1 obtained semantic priming from pleasant- and unpleasant-meaning subliminal words in which no individual letter contained diagnostic information about a word’s evaluative valence; thus analysis must operate on information more complex than that contained in individual letters. Experiments 2 (...) and 3 showed that analysis must operate on information more complex than that represented by individual bigrams or trigrams . These findings suggest that while subliminal priming is driven by subword analysis, the effective units of analysis are distributed widely across at least short words. (shrink)

In a recent book, J. R. Lucas presents an argument to show that if God has infallible knowledge of the future, our will is not free. Thus, Lucas concludes, like the medieval Jewish philosopher Gersonides, that God in creating beings with genuinely free will, abdicates some of his omniscience as well as some of his omnipotence. God could, but will not, determine our choices, since such an exercise of his power would rob us of free will. Similarly, Lucas holds, God (...) could but does not foreknow our future choices since this also would rob us of free will. This argument, from so formidable a foe of determinism as Lucas, merits our most serious attention. However, I believe that there is a way to evade its conclusion, a way which Lucas considers but rejects. (shrink)

Comparative case studies of lawyer deviance and discipline offer a unique perspective on how and why lawyers misbehave, how regulatory bodies respond, and the efficacy of those responses. Such studies also provide valuable pedagogic tools, opening the eyes of law students to the ways in which they, too, could transgress ethical rules. This special issue builds on my two books on misbehaving lawyers in New York and California by presenting vivid accounts of such lawyers in the UK, Canada, Australia, New (...) Zealand, and the Netherlands. (shrink)

The question addressed here is whether evidence concerning defendants' past criminal records should be introduced at their trials because such evidence reveals their character and thus reveals whether they are the kinds of persons likely to have committed the crimes with which they are currently charged. I strongly caution against the introduction of such evidence for a number of reasons. First, the link between defendants' past criminal records and claims about their standing dispositions to think and act is tenuous, at (...) best. Second, noncharacter, or trace, evidence should have primacy in determining the guilt or innocence of defendants. Third, character evidence will vary in its freshness and specificity. Other things being equal, only relatively fresh and specific character evidence has probative value. Moreover, such evidence will have greater probative value in criminal cases where the issue before the court is whether a crime has been committed than in cases where the issue is whether it was the defendant who committed the crime. Finally, we might be more sanguine about the introduction of fresh and specific character evidence under conditions likely to work against its misuse or misinterpretation. However, the relevant conditions may not often be satisfied in the real world of criminal trials and defendants. (shrink)

In a recent paper Anthony Flew gives an argument which can be outlined as follows: 1. Any attempt to give a ‘free will defence’ must be based either on a compatibilist notion of free will or a libertarian, incompatibilist, notion of free will. 2. A free will defence based on a compatibilist notion of free will must fail, for on a compatibilist view of free will, God could make creatures who were free but never chose evil. 3. A free will (...) defence based on a libertarian notion of free will might have other difficulties, but on a libertarian view of free will God could not both leave men free and bring it about that they never chose evil. 4. But a free will defence based on an incompatibilist, libertarian notion of free will can be rejected, since: It is not clear that the ordinary use of such key terms as ‘action’ and ‘choice’ carry any implications of libertarian free will. If such terms did carry the implication of libertarian free will it becomes hard to see how anyone could be in a position to know that a choice had been made or an action performed. The possession of libertarian free will by created beings seems to be incompatible with the essential theistic doctrine that all created beings are always utterly dependent on God as their sustaining cause. 5. Therefore the free will defence fails. (shrink)

In _Freedom and the End of Reason_, Richard L. Velkley offers an influential interpretation of the central issue of Kant’s philosophy and an evaluation of its position within modern philosophy’s larger history. He persuasively argues that the whole of Kantianism—not merely the Second Critique—focuses on a “critique of practical reason” and is a response to a problem that Kant saw as intrinsic to reason itself: the teleological problem of its goodness. Reconstructing the influence of Rousseau on Kant’s thought, Velkley (...) demonstrates that the relationship between speculative philosophy and practical philosophy in Kant is far more intimate than generally has been perceived. By stressing a Rousseau-inspired notion of reason as a provider of practical ends, he is able to offer an unusually complete account of Kant’s idea of moral culture. (shrink)

One of the most difficult problems for a student of religion is the problem of how to relate different religious views of life. It is not difficult to say, ‘My religious orientation has the only truth,’ but the art of giving evidence and argument to support a view on how they should be compared is almost nonexistent. Because of this, the recent work that John Hick has done in this area deserves thoughtful consideration. Since I am working on a book (...) which is concerned with this issue, I am not only going to discuss Hick's views but also defend an alternative way of relating religious views of life. I hope this article will stimulate reactions which will be of help in my work on the book. (shrink)

The critics of Schleiermacher's hermeneutic are legion and its defenders few – due, to a great extent, to the popularity of Gadamer's Truth and Method and its attack on Schleiermacher. I believe that the critics of Schleiermacher have not understood him very well and the failure of his hermeneutics to gain very much respect lies, at least partially, to a lack of understanding of what he had to say. Besides, if we look at contemporary scholars who focus on the study (...) of language and how it functions we will find that they often have views very much like those found in Schleiermacher's discussion of hermeneutics. (shrink)

We propose a framework for including information‐processing bounds in rational analyses. It is an application of bounded optimality (Russell & Subramanian, 1995) to the challenges of developing theories of mechanism and behavior. The framework is based on the idea that behaviors are generated by cognitive mechanisms that are adapted to the structure of not only the environment but also the mind and brain itself. We call the framework computational rationality to emphasize the incorporation of computational mechanism into the definition of (...) rational action. Theories are specified as optimal program problems, defined by an adaptation environment, a bounded machine, and a utility function. Such theories yield different classes of explanation, depending on the extent to which they emphasize adaptation to bounds, and adaptation to some ecology that differs from the immediate local environment. We illustrate this variation with examples from three domains: visual attention in a linguistic task, manual response ordering, and reasoning. We explore the relation of this framework to existing “levels” approaches to explanation, and to other optimality‐based modeling approaches. (shrink)

In _Freedom and the End of Reason_, Richard L. Velkley offers an influential interpretation of the central issue of Kant’s philosophy and an evaluation of its position within modern philosophy’s larger history. He persuasively argues that the whole of Kantianism—not merely the Second Critique—focuses on a “critique of practical reason” and is a response to a problem that Kant saw as intrinsic to reason itself: the teleological problem of its goodness. Reconstructing the influence of Rousseau on Kant’s thought, Velkley (...) demonstrates that the relationship between speculative philosophy and practical philosophy in Kant is far more intimate than generally has been perceived. By stressing a Rousseau-inspired notion of reason as a provider of practical ends, he is able to offer an unusually complete account of Kant’s idea of moral culture. (shrink)

"Intuition" has perhaps been the least understood and the most abused term in philosophy. It is often the term used when one has no plausible explanation for the source of a given belief or opinion. According to some sceptics, it is understood only in terms of what it is not, and it is not any of the better understood means for acquiring knowledge. In mathematics the term has also unfortunately been used in this way. Thus, intuition is sometimes portrayed as (...) if it were the Third Eye, something only mathematical "mystics", like Ramanujan, possess. In mathematics the notion has also been used in a host of other senses: by "intuitive" one might mean informal, or non-rigourous, or visual, or holistic, or incomplete, or perhaps even convincing in spite of lack of proof. My aim in this book is to sweep all of this aside, to argue that there is a perfectly coherent, philosophically respectable notion of mathematical intuition according to which intuition is a condition necessary for mathemati cal knowledge. I shall argue that mathematical intuition is not any special or mysterious kind of faculty, and that it is possible to make progress in the philosophical analysis of this notion. This kind of undertaking has a precedent in the philosophy of Kant. While I shall be mostly developing ideas about intuition due to Edmund Husser! there will be a kind of Kantian argument underlying the entire book. (shrink)

This analysis of Frege's views on language and metaphysics in On Sense and Reference, arguably one of the most important philosophical essays of the past hundred years, provides a thorough introduction to the function/argument analysis and applies Frege's technique to the central notions of predication, identity, existence and truth. Of particular interest is the analysis of the Paradox of Identity and a discussion of three solutions: the little-known Begriffsschrift solution, the sense/reference solution, and Russell's 'On Denoting' solution. Russell's views wend (...) their way through the work, serving as a foil to Frege. Appendices give the proofs of the first 68 propositions of Begriffsschrift in modern notation. This book will be of interest to students and professionals in philosophy and linguistics. (shrink)

This book draws upon philosophical arguments, criminological evidence, and legal literature on prisoners' rights and sentencing to explore the restrictions and deprivations that can be legitimately imposed on serious offenders in the name of punishment.

This book presents modern logic as the formalization of reasoning that needs and deserves a semantic foundation. Chapters on propositional logic; parsing propositions; and meaning, truth and reference give the reader a basis for establishing criteria that can be used to judge formalizations of ordinary language arguments. Over 120 worked examples illustrate the scope and limitations of modern logic, as analyzed in chapters on identity, quantifiers, descriptive names, and functions. The chapter on second-order logic shows how different conceptions of predicates (...) and propositions do not lead to a common basis for quantification over predicates, as they do for quantification over things. Notable for its clarity of presentation and supplemented by many exercises, this volume will be invaluable for philosophers, linguists, mathematicians, and computer scientists who wish to better understand the tools they use in formal reasoning. (shrink)

In Being after Rousseau, Richard L. Velkley presents Jean-Jacques Rousseau as the founder of a modern European tradition of reflection on the relation of philosophy to culture—a reflection that calls both into question.

I defend mereological nihilism, the view that there are no composite objects, against a challenge from ontological emergence, the view that some things have properties that are ‘something over and above’ the properties of their parts. As the nihilist does not believe in composite wholes, there is nothing in the nihilist's ontology to instantiate emergent properties – or so the challenge goes. However, I argue that some simples can collectively instantiate an emergent property, so the nihilist's ontology can in fact (...) accommodate emergent properties. Furthermore, I show that employing plural instantiation does not bloat the nihilist's ontology or ideology. (shrink)

Gödel's relation to the work of Plato, Leibniz, Kant, and Husserl is examined, and a new type of platonic rationalism that requires rational intuition, called ...

The purpose of this paper is to examine the distinction between "negative" and "positive" duties. Special attention will be given to certain criticism raised against this distinction by Michael Tooley.

Richard Tieszen presents an analysis, development, and defense of a number of central ideas in Kurt Gödel's writings on the philosophy and foundations of mathematics and logic. Tieszen structures the argument around Gödel's three philosophical heroes - Plato, Leibniz, and Husserl - and his engagement with Kant, and supplements close readings of Gödel's texts on foundations with materials from Gödel's Nachlass and from Hao Wang's discussions with Gödel. He provides discussions of Gödel's views, and develops a new type of (...) platonic rationalism that requires rational intuition, called 'constituted platonism'. (shrink)

The mere exposure phenomenon (repeated exposure to a stimulus is sufficient to improve attitudes toward that stimulus) is one of the most inspiring phenomena associated with Robert Zajonc’s long and productive career in social psychology. In the first part of this article, Richard Moreland (who was trained by Zajonc in graduate school) describes his own work on exposure and learning, and on the relationships among familiarity, similarity, and attraction in person perception. In the second part, Sascha Topolinski (a recent (...) graduate who never met Zajonc, but found his ideas inspirational) describes his own work concerning embodiment and fluency in the mere exposure effect. Also, several avenues for future research on the mere exposure phenomenon are identified, further demonstrating its continuing relevance to the field. (shrink)

It is well documented that the effects of legal punishment tend to drift to the family members, friends, and larger communities of convicted offenders. Instead of conceiving of punishment drift as incidental to legal punishment, or as merely foreseen but not intended by state authorities and thus permissible, I argue that efforts ought to be undertaken to limit or ameliorate it. Failure to confine punishment drift comes perilously close to punishment of the innocent and is at odds with other legal (...) doctrines and broader penal practices that hold offenders, and offenders alone, responsible for their crimes. Numerous arguments urging tolerance of punishment drift, or more assertively defending it, are examined and found wanting. (shrink)

In this groundbreaking work, Richard L. Velkley examines the complex philosophical relationship between Martin Heidegger and Leo Strauss. Velkley argues that both thinkers provide searching analyses of the philosophical tradition’s origins in radical questioning. For Heidegger and Strauss, the recovery of the original premises of philosophy cannot be separated from rethinking the very possibility of genuine philosophizing. Common views of the influence of Heidegger’s thought on Strauss suggest that, after being inspired early on by Heidegger’s dismantling of the philosophical (...) tradition, Strauss took a wholly separate path, spurning modernity and pursuing instead a renewal of Socratic political philosophy. Velkley rejects this reading and maintains that Strauss’s engagement with the challenges posed by Heidegger—as well as by modern philosophy in general—formed a crucial and enduring framework for his lifelong philosophical project. More than an intellectual biography or a mere charting of influence, _Heidegger, Strauss, and the Premises of Philosophy_ is a profound consideration of these two philosophers’ reflections on the roots, meaning, and fate of Western rationalism. (shrink)

Arguing against most scholars of business ethics who have articulated a set of moral principles and applied them to problems faced by business people, Richard Lippke steers away from offering moral directives. In Radical Business Ethics, he develops a more comprehensive perspective on business issues that is tied to larger questions of social justice. Analyzing a select group of timely issues such as advertising, employee privacy, and insider trading in the context of debates about the nature of the just (...) society, Lippke argues that the most plausible theory of justice is one whose implications are highly critical of many features of advanced capitalist societies. Radical Business Ethics will be an eye-opening book for students and scholars of ethics, and anyone interested in the role business plays in a just society. (shrink)

The thesis is a study of the notion of intuition in the foundations of mathematics which focuses on the case of natural numbers and hereditarily finite sets. Phenomenological considerations are brought to bear on some of the main objections that have been raised to this notion. ;Suppose that a person P knows that S only if S is true, P believes that S, and P's belief that S is produced by a process that gives evidence for it. On a phenomenological (...) view the relevant evidence is provided by intuition , and this should be the case in either ordinary perceptual knowledge or in mathematical knowledge. Intuition is to be understood in terms of fulfillments of intentions. Knowledge is a product of intuition and intention. In the case of mathematical knowledge it is said that there is a construction for a mathematical statement S if and only if the intention expressed by S is fulfilled . Constructions are thus viewed as intuition processes that could actually or possibly be carried out. In elementary parts of mathematics they might be characterized in terms of certain classes of recursive functions. This view is discussed in the case where S is taken to be a singular statement about natural numbers or finite sets, and also where S is taken to be a general statement about such objects. The distinction between intuition of and intuition that is also investigated in this context. ;It is pointed out how on a phenomenological view a number of central problems about mathematical intuition can be avoided: problems about the analogousness of perceptual and mathematical intuition, about causal accounts of knowledge in mathematics, and about structuralism in mathematics. The bearing of the account on issues concerning constructivism and platonism is also discussed. (shrink)

In this groundbreaking work, Richard L. Velkley examines the complex philosophical relationship between Martin Heidegger and Leo Strauss. Velkley argues that both thinkers provide searching analyses of the philosophical tradition’s origins in radical questioning. For Heidegger and Strauss, the recovery of the original premises of philosophy cannot be separated from rethinking the very possibility of genuine philosophizing. Common views of the influence of Heidegger’s thought on Strauss suggest that, after being inspired early on by Heidegger’s dismantling of the philosophical (...) tradition, Strauss took a wholly separate path, spurning modernity and pursuing instead a renewal of Socratic political philosophy. Velkley rejects this reading and maintains that Strauss’s engagement with the challenges posed by Heidegger—as well as by modern philosophy in general—formed a crucial and enduring framework for his lifelong philosophical project. More than an intellectual biography or a mere charting of influence, _Heidegger, Strauss, and the Premises of Philosophy_ is a profound consideration of these two philosophers’ reflections on the roots, meaning, and fate of Western rationalism. (shrink)