Many people are moved by the thought that if A is worse off than B, then if we can improve the condition of one or the other but not both that it is better to improve the condition of A. Egalitarians are buoyed by the prevalence of such thoughts. But something other than egalitarianism could be driving these thoughts. In particular, such thoughts could be motivated, instead, by a combination of the belief that desert should determine how people fare and (...) the belief that, for the most part, people are equally deserving. Shelly Kagan has pushed this line of argument, suggesting that desert should replace equality as a normative ideal. He argues that desert theory and egalitarianism often agree, and when they don’t intuition favors desert theory. A number of authors have offered responses to Kagan, including Serena Olsaretti, Fred Feldman, and Richard Arneson. However, I maintain that their responses are inadequate, primarily because they simply fail to capture the compelling intuitions that Kagan appeals to in making his case. There are other responses, however, and I consider three, each of which offers an egalitarian position that is compatible with Kagan’s most compelling intuitions. Thus, I maintain that Kagan has not sufficiently established that desert should replace equality as a normative ideal. There is still room for a genuinely egalitarian position, though Kagan’s reflections helpfully force egalitarians to further develop and refine their thinking. (shrink)

This chapter introduces topical issues in the ethical debate on speciesism. It does so against a background of the history of the debate and with an emphasis on concerns that arise at the intersection of speciesism and science. The term speciesism was coined in the 1970s by Richard Rider and popularized by Peter Singer, who defined speciesism as “a prejudice or attitude of bias in favor of the interests of members of one’s own species and against those of members (...) of other species.” Critiques of speciesism are undergirded by the principle that comparable interests should be given equal consideration, regardless of species-membership. To what extent the interests of humans and non-humans are comparable, however, has been a matter of contention and is partly beholden to empirical findings. Diverging opinions on this matter have given rise to a variety of more and less species-egalitarian views, often paired with rivalling accounts of “moral status”. A minority of ethicists have explicitly defended speciesism or some version thereof, including Bernard Williams and, more recently, Shelly Kagan. Apart from the back-and-forths between critics and defenders, the speciesism debate has transformed over the last decade, in three respects. First, discourse on animal ethics has witnessed a “political turn”, moving away from analyses of moral status and towards discussions of human-animal relations in interspecies societies. Secondly, apart from anthropocentric speciesism, i.e., privileging humans over non-humans, there has been an increasing interest in non-anthropocentric speciesism, i.e., privileging some non-human species over others. Thirdly, speciesism has been endorsed as a prominent topic in the new, activist-leaning research field of Critical Animal Studies, and has recently garnered substantial attention from psychologists. As these disciplinary changes and conceptual refinements suggest, half a century after its coinage, speciesism continues to be an important scholarly and ethical concept whose history is still in the making. (shrink)

Richard Pettigrew offers an extended investigation into a particular way of justifying the rational principles that govern our credences. The main principles that he justifies are the central tenets of Bayesian epistemology, though many other related principles are discussed along the way. Pettigrew looks to decision theory in order to ground his argument. He treats an agent's credences as if they were a choice she makes between different options, gives an account of the purely epistemic utility enjoyed by different (...) sets of credences, and then appeals to the principles of decision theory to show that, when epistemic utility is measured in this way, the credences that violate the principles listed above are ruled out as irrational. The account of epistemic utility set out here is the veritist's: the sole fundamental source of epistemic utility for credences is their accuracy. Thus, Pettigrew conducts an investigation in the version of epistemic utility theory known as accuracy-first epistemology. (shrink)

Joel Feinberg : In Memoriam. Preface. Part I: INTRODUCTION TO THE NATURE AND VALUE OF PHILOSOPHY. 1. Joel Feinberg: A Logic Lesson. 2. Plato: "Apology." 3. Bertrand Russell: The Value of Philosophy. PART II: REASON AND RELIGIOUS BELIEF. 1. The Existence and Nature of God. 1.1 Anselm of Canterbury: The Ontological Argument, from Proslogion. 1.2 Gaunilo of Marmoutiers: On Behalf of the Fool. 1.3 L. Rowe: The Ontological Argument. 1.4 Saint Thomas Aquinas: The Five Ways, from Summa Theologica. 1.5 Samuel (...) Clarke: A Modern Formulation of the Cosmological Argument. 1.6 William L. Rowe: The Cosmological Argument. 1.7 William Paley: The Argument from Design. 1.8 Michael Ruse: The Design Argument. 1.9 David Hume: Dialogues Concerning Natural Religion. 2. The Problem of Evil. 2.1 Fyodor Dostoyevsky: Rebellion. 2.2 J. L. Mackie: Evil and Omnipotence. 2.3 Peter van Inwagen: The Argument from Evil. 2.4 Michael Murray and Michael Rea: The Argument from Evil. 2.5 B. C. Johnson: God and the Problem of Evil. 3. Reason and Faith. 3.1 W. K. Clifford: The Ethics of Belief. 3.2 William James: The Will to Believe. 3.3 Kelly James Clark: Without Evidence or Argument. 3.4 Blaise Pascal: The Wager. 3.5 Lawrence Shapiro: Miracles and Justification. 3.6 Simon Blackburn: Infini-Rien. Part III. HUMAN KNOWLEDGE: ITS GROUNDS AND LIMITS. 1. Skepticism. 1.1 John Pollock: A Brain in a Vat. 1.2 Michael Huemer: Three Skeptical Arguments. 1.3 Robert Audi: Skepticism. 2. The Nature and Value of Knowledge. 2.1 Plato: Knowledge as Justified True Belief. 2.2 Edmund Gettier: Is Justified True Belief Knowledge? 2.3 James Cornman, Keith Lehrer, and George Pappas: An Analysis of Knowledge. 2.4 Gilbert Ryle: Knowing How and Knowing That. 2.5 Plato: "Meno". 2.6 Linda Zagzebski, Epistemic Good and The Good Life. 3. Our Knowledge of the External World. 3.1 Bertrand Russell: Appearance and Reality and the Existence of Matter. 3.2 René Descartes: Meditations on First Philosophy. 3.3 John Locke: The Causal Theory of Perception. 3.4 George Berkeley: Of the Principles of Human Knowledge. 3.5 G. E. Moore: Proof of an External World. 4. The Methods of Science. 4.1 David Hume: An Inquiry Concerning Human Understanding. 4.2 Wesley C. Salmon: An Encounter with David Hume. 4.3 Karl Popper: Science: Conjectures and Refutations. 4.4 Philip Kitcher: Believing Where We Cannot Prove. Part IV: MIND AND ITS PLACE IN NATURE. 1. The Mind-Body Problem. 1.1 Brie Gertler: In Defense of Mind--Body Dualism. 1.2 Frank Jackson: The Qualia Problem. 1.3 David Papineau: The Case for Materialism. 1.4 Paul Churchland: Functionalism and Eliminative Materialism. 2. Can Non-Humans Think? 2.1 Alan Turing: Computing Machinery and Intelligence. 2.2 John R. Searle: Minds, Brains, and Programs. 2.3 William G. Lycan: Robots and Minds. 3. Personal Identity and the Survival of Death. 3.1 John Locke: The Prince and the Cobbler. 3.2 Thomas Reid: Of Mr. Locke’s Account of Our Personal Identity. 3.3 David Hume: The Self. 3.4 Derek Parfit: Divided Minds and the Nature of Persons. 3.5 Shelly Kagan: What Matters. 3.6 John Perry: A Dialogue on Personal Identity and Immortality. Part V: DETERMINISM, FREE WILL, AND RESPONSIBILITY. 1. Libertarianism: The Case for Free Will and Its Incompatibility with Determinism. 1.1 Roderick M. Chisholm: Human Freedom and the Self. 1.2 Robert Kane: Free Will: Ancient Dispute, New Themes. 2. Hard Determinism: The Case for Determinism and its Incompatibility with Its Incompatibility with Any Important Sense of Free Will. 2.1 James Rachels: The case against Free Will. 2.2 Derk Pereboom: Why We Have No Free Will and Can Live Without It. 3. Compatibilism: The Case for Determinism and Its Compatibility with the Most Important Sense of Free Will. 3.1 David Hume: Of Liberty and Necessity. 3.2 Helen Beebee: Compatibilism and the Ability to do Otherwise. 4. Freedom and Moral Responsibility. 4.1 Galen Strawson: Luck Swallows Everything. 4.2 Harry Frankfurt: Alternate Possibilities and Moral Responsibility. 4.3 Thomas Nagel: Moral Luck. 4.4 Susan Wolf: Sanity and the Metaphysics of Responsibility. Part VI: MORALITY AND ITS CRITICS. 1. Changes to Morality. 1.1 Joel Feinberg: Psychological Egoism. 1.2 Plato: The Immoralist’s Challenge. 1.3 Friedrich Nietzche: Master and Slave Morality. 1.4 Richard Joyce: The Evolutionary Debunking of Morality. 2. Proposed Standards and Right of Conduct. 2.1 Russ Shafer-Landau: Ethical Subjectivism. 2.2 Mary Midgley: Trying Out One’s New Sword. 2.3 Aristotle: Virtue and the Good Life. 2.4 Thomas Hobbes: Leviathan. 2.5 Plato: Euthyphro. 2.6 Immanuel Kant: The Good Will and the Categorical Imperative. 2.7 J.S. Mill: Utilitarianism, Chapters 2 and 4. 2.8 W. D. Ross: What Makes Right Acts Right? 2.9 Hilde Lindemann: What Is Feminist Ethics? 3. Ethical Problems. 3.1 Kwame Anthony Appiah: What Will Future Generations Condemn Us For? 3.2 Peter Singer: Famine, Affluence and Morality. 3.3 John Harris: The Survival Lottery. 3.4 James Rachels: Active and Passive Euthanasia. 3.5 Mary Anne Warren: The Moral and Legal Status of Abortion. 3.6 Don Marquis: Why Abortion Is Immoral. 4. The Meaning of Life. 4.1 Epicurus: Letter to Menoeceus. 4.2 Richard Taylor: The Meaning of Life. 4.3 Richard Kraut: Desire and the Human Good. 4.4 Leo Tolstoy: My Confession. 4.5 Susan Wolf: Happiness and Meaning. 4.6 Thomas Nagel: The Absurd. (shrink)

Richard Swinburne presents a substantially rewritten and updated edition of his most celebrated book. No other work has made a more powerful case for the probability of the existence of God. Swinburne gives a rigorous and penetrating analysis of the most important arguments for theism: the cosmological argument; arguments from the existence of laws of nature and the 'fine-tuning' of the universe; from the occurrence of consciousness and moral awareness; and from miracles and religious experience. He claims that while (...) none of these arguments are deductively valid, they do give inductive support to theism and that, even when the argument from evil is weighed against them, taken together they offer good grounds to support the probability that there is a God. The overall structure of the discussion and its conclusion have been retained for this new edition, but much has been changed in order to strengthen the argumentation and to take account of Swinburne's subsequent work on the nature of consciousness and the problem of evil, and of the latest philosophical and scientific writing, especially in respect of the laws of nature and the argument from fine-tuning. This is now the definitive version of a classic in the philosophy of religion. (shrink)

Richard Swinburne presents a substantially rewritten and updated edition of his most celebrated book. No other work has made a more powerful case for the probability of the existence of God. Swinburne gives a rigorous and penetrating analysis of the most important arguments for theism: the cosmological argument; arguments from the existence of laws of nature and the 'fine-tuning' of the universe; from the occurrence of consciousness and moral awareness; and from miracles and religious experience. He claims that while (...) none of these arguments are deductively valid, they do give inductive support to theism and that, even when the argument from evil is weighed against them, taken together they offer good grounds to support the probability that there is a God. The overall structure of the discussion and its conclusion have been retained for this new edition, but much has been changed in order to strengthen the argumentation and to take account of Swinburne's subsequent work on the nature of consciousness and the problem of evil, and of the latest philosophical and scientific writing, especially in respect of the laws of nature and the argument from fine-tuning. This is now the definitive version of a classic in the philosophy of religion. (shrink)

This volume collects a number of important and revealing interviews with Richard Rorty, spanning more than two decades of his public intellectual commentary, engagement, and criticism. In colloquial language, Rorty discusses the relevance and nonrelevance of philosophy to American political and public life. The collection also provides a candid set of insights into Rorty's political beliefs and his commitment to the labor and union traditions in this country. Finally, the interviews reveal Rorty to be a deeply engaged social thinker (...) and observer. (shrink)

What is it for there to be a God, and what reason is there for supposing him to conform to the claims of Christian doctrine? In this pivotal volume of his tetralogy, Richard Swinburne builds a rigorous metaphysical system for describing the world, and applies this to assessing the worth of the Christian tenets of the Trinity and the Incarnation. Part I is dedicated to analyzing the categories needed to address accounts of the divine nature--substance, cause, time, and necessity. (...) Part II begins by setting out, in terms of these categories, the fundamental doctrine of Western religions--that there is a God. After pointing out some of the different ways in which this doctrine can be developed, Swinburne spells out the simplest possible account of divine nature. He then goes on to clarify the implications of this account for the specifically Christian doctrines of the Trinity (that God is "three persons in one substance") and of the Incarnation (that God became incarnate in Jesus Christ). Swinburne finds that there are good reasons to believe the Christian additions to the core Western idea of God. The Christian God builds upon Swinburne's acclaimed previous work to form a self-contained text which will no doubt become a classic in the philosophy of religion. (shrink)

Richard Sorabji; VII*—Aristotle On the Rôle of Intellect in Virtue, Proceedings of the Aristotelian Society, Volume 74, Issue 1, 1 June 1974, Pages 107–129, htt.

What makes us human? Richard Swinburne presents new philosophical arguments, supported by modern neuroscience, for the view that we are immaterial souls sustained in existence by our brains.

Richard Sorabji presents a ground-breaking study of ancient Greek views of the emotions and their influence on subsequent theories and attitudes, Pagan and Christian. While the central focus of the book is the Stoics, Sorabji draws on a vast range of texts to give a rich historical survey of how Western thinking about this central aspect of human nature developed.

Richard Sorabji presents a unique discussion of the development of moral conscience over a period of 2500 years, from the playwrights of the fifth century BCE to the present. He addresses key topics including the original meaning and continuing nature of conscience, the ideas of freedom of religion and conscience with climaxes in the early Christian centuries and the seventeenth, the disputes on absolution or 'terrorisation' of conscience, dilemmas of conscience, and moral double-bind, the reliability of conscience if it (...) is shaped by local custom, and modern opposition to the idea of conscience and its role in legislation. (shrink)

Richard Swinburne presents a new edition of the final volume of his acclaimed trilogy on philosophical theology. Faith and Reason is a self-standing examination of the implications for religious faith of Swinburne's famous arguments about the coherence of theism and the existence of God.By practising a particular religion, a person seeks to achieve some or all of three goals - that he worships and obeys God, gains salvation for himself, and helps others to attain their salvation. But not all (...) religions commend worship, and different religions have different conceptions of salvation. Faced with these differences, Richard Swinburne argues that we should practice that religion which has the best goals and is more probably true than the creeds of other religions. He proposes criteria by which to determine the probabilities of different religious creeds, and he argues that, while requiring total commitment, faith does not demand fully convinced belief. While maintaining the same structure and conclusions as the original classic, this second edition has been substantially rewritten, both in order to relate its ideas more closely to those of classical theologians and philosophers and to respond to more recent views. In particular he discusses, and ultimately rejects, the view of Alvin Plantinga that the 'warrant' of a belief depends on the process which produced it, and John Hick's contention that all religions offer valid paths to salvation. (shrink)

Many have been attracted to the idea that for something to be good there just have to be reasons to favour it. This view has come to be known as the buck-passing account of value. According to this account, for pleasure to be good there need to be reasons for us to desire and pursue it. Likewise for liberty and equality to be values there have to be reasons for us to promote and preserve them. Extensive discussion has focussed on (...) some of the problems that the buck-passing account faces, such as the 'wrong kind of reason' problem. Less attention, however, has been paid as to why we should accept the buck-passing account or what the theoretical pay-offs and other implications of accepting it are. The Normative and the Evaluative provides the first comprehensive motivation and defence of the buck-passing account of value. Richard Rowland argues that the buck-passing account explains several important features of the relationship between reasons and value, as well as the relationship between the different varieties of value, in a way that its competitors do not. He shows that alternatives to the buck-passing account are inconsistent with important views in normative ethics, uninformative, and at odds with the way in which we should see practical and epistemic normativity as related. In addition, he extends the buck-passing account to provide an account of moral properties as well as all other normative and deontic properties and concepts, such as fittingness and ought, in terms of reasons. (shrink)

Richard Swinburne presents a new edition of the final volume of his acclaimed trilogy on philosophical theology. Faith and Reason is a self-standing examination of the implications for religious faith of Swinburne's famous arguments about the coherence of theism and the existence of God. By practising a particular religion, a person seeks to achieve some or all of three goals - that he worships and obeys God, gains salvation for himself, and helps others to attain their salvation. But not (...) all religions commend worship, and different religions have different conceptions of salvation. Faced with these differences, Richard Swinburne argues that we should practice that religion which has the best goals and is more probably true than the creeds of other religions. He proposes criteria by which to determine the probabilities of different religious creeds, and he argues that, while requiring total commitment, faith does not demand fully convinced belief. While maintaining the samestructure and conclusions as the original classic, this second edition has been substantially rewritten, both in order to relate its ideas more closely to those of classical theologians and philosophers and to respond to more recent views. In particular he discusses, and ultimately rejects, the view of Alvin Plantinga that the 'warrant' of a belief depends on the process which produced it, and John Hick's contention that all religions offer valid paths to salvation. (shrink)

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 discussion of good and evil must not be confined to the sterile lecture halls of academics but related instead to ordinary human feelings, needs, and desires, says noted philosopher Richard Taylor. Efforts to understand morality by exploring human reason will always fail because we are creatures of desire as well. All morality arises from our intense and inescapable longing. The distinction between good and evil is always clouded by rationalists who convert the real problems of ethics into complex (...) philosophical puzzles. In the first part of Good and Evil, Taylor looks for a more meaningful conception by reexamining and rejecting the whole rationalistic tradition that dominates philosophical ethics. The second part provides an empirical explanation of good and evil, noting that one does not have to look too far to find prime examples of the failure of fixed moral rules. Including important commentary on Joseph Fletcher's groundbreaking situation ethics, and Aristotle's virtues (e.g., magnanimity and pride), Taylor rounds out the book by developing a philosophy of aspiration--personal worth as an ethical ideal--to replace the morality of duty. He offers a modified form of situation ethics to fit the contemporary problems we face. (shrink)

First published in 1974, this book presents a coherent collection of major articles by Richard Stanley Peters. It displays his work on psychology and philosophy, with special attention given to the areas of ethical development and human understanding. The book is split into four parts. The first combines a critique of psychological theories, especially those of Freud, Piaget and the Behaviourists, with some articles on the nature and development of reason and the emotions. The second looks in historical order (...) at ethical development. The third part combines a novel approach to the problem of understanding other people, whilst the fourth part is biographical in an unusual way. The volume can be viewed as a companion to the author’s _Ethics and Education _and will appeal to students and teachers of education, philosophy and psychology, as well as to the interested non-specialist reader. (shrink)

This classic, first published in 1969, introduces to English-speaking readers a field which is of increasing importance in contemporary philosophy and theology--hermeneutics, the theory of understanding, or interpretation. Richard E. Palmer, utilizing largely untranslated sources, treats principally of the conception of hermeneutics enunciated by Heidegger and developed into a "philosophical hermeneutics" by Hans-Georg Gadamer. He provides a brief overview of the field by surveying some half-dozen alternate definitions of the term and by examining in detail the contributions of Friedrich (...) Schleiermacher and Wilhelm Dilthey. In the Manifesto which concludes the book, Palmer suggests the potential significance of hermeneutics for literary interpretation. (shrink)

The term ars erotica refers to the styles and techniques of lovemaking with the honorific title of art. But in what sense are these practices artistic and how do they contribute to the aesthetics and ethics of self-cultivation in the art of living? In this book, Richard Shusterman offers a critical, comparative analysis of the erotic theories proposed by the most influential premodern cultural traditions that shaped our contemporary world. Beginning with ancient Greece, whose god of desiring love gave (...) eroticism its name, Shusterman examines the Judaeo-Christian biblical tradition and the classical erotic theories of Chinese, Indian, Islamic, and Japanese cultures, before concluding with medieval and Renaissance Europe. His exploration of their errors and insights shows how we could improve the quality of life and love today. By using the engine of eros to cultivate qualities of sensitivity, grace, skill, and self-mastery, we can reimagine a richer, more positive vision of sex education. (shrink)

This book is a succinct introduction to the orienting of attention.

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)

Some of the most important developments of symbolic logic took place in the 1920s. Foremost among them are the distinction between syntax and semantics and the formulation of questions of completeness and decidability of logical systems. David Hilbert and his students played a very important part in these developments. Their contributions can be traced to unpublished lecture notes and other manuscripts by Hilbert and Bernays dating to the period 1917-1923. The aim of this paper is to describe these results, focussing (...) primarily on propositional logic, and to put them in their historical context. It is argued that truth-value semantics, syntactic ("Post-") and semantic completeness, decidability, and other results were first obtained by Hilbert and Bernays in 1918, and that Bernays's role in their discovery and the subsequent development of mathematical logic is much greater than has so far been acknowledged. (shrink)

Richard Sorabji presents a unique exploration of the development of moral conscience over 2500 years, from the playwrights of classical Greece to the present. His virtuoso study of the development of pagan, Christian, and secular conceptions of conscience culminates in a consideration of the nature, value, and role of conscience today.

Richard Sylvan died suddenly at the age of 60, when he had just completed this major text. But though this volume is the mature expression of one of our foremost modern philosophers, it remains, like all his work, pioneering, eclectic and controversial. Sylvan's theory of 'plurallism', the culmination of his life's work, is the subject of this important text. In his own characteristically provocative words, 'There is not merely a plurality of correct theories and more or less satisfactory worldviews: (...) there is a corresponding plurality of actual worlds. Plurality penetrates deeper in full plurallism than linguistic surface or than conceptual or theoretical structure, to worlds...There is no single fact of the matter, there are facts and matters.'. (shrink)

. Moral systems are described as systems of indirect reciprocity, existing because of histories of conflicts of interest and arising as outcomes of the complexity of social interactions in groups of long‐lived individuals with varying conflicts and confluences of interest and indefinitely iterated social interactions. Although morality is commonly defined as involving justice for all people, or consistency in the social treatment of all humans, it may have arisen for immoral reasons, as a force leading to cohesiveness within human groups (...) but specifically excluding and directed against other human groups with different interests. (shrink)

Richard Shusterman; Aesthetic Experience: From Analysis to Eros, The Journal of Aesthetics and Art Criticism, Volume 64, Issue 2, 18 April 2005, Pages 217–229.

Adaptive Planning is an approach to planning in the commonsense domain. An adaptive planner takes advantage of the habitual nature of many of the planning situations for which it plans by bosing its activities on a memory of pre‐stored plans. A critical issue, and the subject of this paper, is the question of flexibility: How does an adaptive planner refit an old plan in order to meet the demands of some new planning situation? An adaptive planner refits prestored plans by (...) constructing an interpretation of the situation in which it is engaged. Key elements in the theory of adaptive planning are its treatment of specific plans and a notion of situation matching. The theory of adaptive planning has been modeled by a computer program called PLEXUS. (shrink)

This popular pocket-size guide empowers readers with critical thinking tools based on the groundbreaking work of Richard Paul and Linda Elder. This bestselling volume in the Thinker’s Guide Library provides students, educators, and professionals with an authoritative problem-solving framework essential for every aspect of life.

Angell's logic of analytic containment AC has been shown to be characterized by a 9-valued matrix NC by Ferguson, and by a 16-valued matrix by Fine. We show that the former is the image of a surjective homomorphism from the latter, i.e., an epimorphic image. The epimorphism was found with the help of MUltlog, which also provides a tableau calculus for NC extended by quantifiers that generalize conjunction and disjunction.

After a brief flirtation with logicism around 1917, David Hilbertproposed his own program in the foundations of mathematics in 1920 and developed it, in concert with collaborators such as Paul Bernays andWilhelm Ackermann, throughout the 1920s. The two technical pillars of the project were the development of axiomatic systems for everstronger and more comprehensive areas of mathematics, and finitisticproofs of consistency of these systems. Early advances in these areaswere made by Hilbert (and Bernays) in a series of lecture courses atthe (...) University of Göttingen between 1917 and 1923, and notably in Ackermann's dissertation of 1924. The main innovation was theinvention of the -calculus, on which Hilbert's axiom systemswere based, and the development of the -substitution methodas a basis for consistency proofs. The paper traces the developmentof the ``simultaneous development of logic and mathematics'' throughthe -notation and provides an analysis of Ackermann'sconsistency proofs for primitive recursive arithmetic and for thefirst comprehensive mathematical system, the latter using thesubstitution method. It is striking that these proofs use transfiniteinduction not dissimilar to that used in Gentzen's later consistencyproof as well as non-primitive recursive definitions, and that thesemethods were accepted as finitistic at the time. (shrink)

Historians of science have long been intrigued by the impact of disparate cultural styles on the science of a given country and time period. Richard Olson’s book is a case study in the interaction between philosophy and science as well as an examination of a particular scientific movement. The author investigates the methodological arguments of the Common Sense philosophers Thomas Reid, Dugald Stewart, Thomas Brown, and William Hamilton and the possible transmission of their ideas to scientists from John Playfair (...) to James Clerk Maxwell. His findings point out the need for modifications to the Duhem-Poincaré interpretation of British scientific style and the reassessment of the extent of Kantian influence on British physics. Originally published in 1975. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. (shrink)

A framework is developed for understanding what is “taken for granted” both in philosophy and in life generally, which may serve to orient philosophical inquiry and make it more effective. The framework takes in language and its development, as well as mathematics, logic, and the empirical sphere with particular reference to the exigencies of life. It is evaluated through consideration of seven philosophical issues concerned with such topics as solipsism, sense data as the route to knowledge, the possible reduction of (...) geometry to logic, and the existence and status of human rights. Various dichotomies and the notion of continuity are evidently highly strategic. (shrink)

Logic has pride of place in mathematics and its 20th century offshoot, computer science. Modern symbolic logic was developed, in part, as a way to provide a formal framework for mathematics: Frege, Peano, Whitehead and Russell, as well as Hilbert developed systems of logic to formalize mathematics. These systems were meant to serve either as themselves foundational, or at least as formal analogs of mathematical reasoning amenable to mathematical study, e.g., in Hilbert’s consistency program. Similar efforts continue, but have been (...) expanded by the development of sophisticated methods to study the properties of such systems using proof and model theory. In parallel with this evolution of logical formalisms as tools for articulating mathematical theories (broadly speaking), much progress has been made in the quest for a mechanization of logical inference and the investigation of its theoretical limits, culminating recently in the development of new foundational frameworks for mathematics with sophisticated computer-assisted proof systems. In addition, logical formalisms developed by logicians in mathematical and philosophical contexts have proved immensely useful in describing theories and systems of interest to computer scientists, and to some degree, vice versa. Three examples of the influence of logic in computer science are automated reasoning, computer verification, and type systems for programming languages. (shrink)

Cosmopolitan theory suggests that we should shift our moral attention from the local to the global. Richard Vernon argues, however, that if we adopt cosmopolitan beliefs about justice we must re-examine our beliefs about political obligation. Far from undermining the demands of citizenship, cosmopolitanism implies more demanding political obligations than theories of the state have traditionally recognized. Using examples including humanitarian intervention, international criminal law, and international political economy, Vernon suggests we have a responsibility not to enhance risks facing (...) other societies and to assist them when their own risk-taking has failed. The central arguments in Cosmopolitan Regard are that what we owe to other societies rests on the same basis as what we owe to our own, and that a theory of cosmopolitanism must connect the responsibilities of citizens beyond their own borders with their obligations to one another"--Provided by publisher. (shrink)

Drawing mainly from the Tractatus Logico-Philosophicus and his middle period writings, strategic issues and problems arising from Wittgenstein’s philosophy of mathematics are discussed. Topics have been so chosen as to assist mediation between the perspective of philosophers and that of mathematicians on their developing discipline. There is consideration of rules within arithmetic and geometry and Wittgenstein’s distinctive approach to number systems whether elementary or transfinite. Examples are presented to illuminate the relation between the meaning of an arithmetical generalisation or theorem (...) and its proof. An attempt is made to meet directly some of Wittgenstein’s critical comments on the mathematical treatment of infinity and irrational numbers. (shrink)

The growing interest in Africa as well as concerns about negative deviant behaviors and ethnic structures necessitates examination of the effect of ethnic expectations on behavior of employees. In this study we leverage insight from ethnos oblige theory to propose that centralization of ethnic norms moderates the relationship between benevolence expectations and negative deviant behavior. Using a cross-sectional design and data from two countries as well as moderation and cross-cultural analytic techniques, we find support for three-way interactions where the relationship (...) between benevolence and negative deviant behavior is moderated by centralization and culture. We discuss the implications of the findings which support the dynamic perspective of management in Africa. (shrink)

Richard Smith; Skills: the middle way, Journal of Philosophy of Education, Volume 21, Issue 2, 30 May 2006, Pages 197–201, https://doi.org/10.1111/j.1467-9752.1.

The functional basis of disgust in disease avoidance is widely accepted; however, there is disagreement over what disgust is. This is a significant problem, as basic questions about disgust require...