In this book Timmons defends a metaethical view that exploits certain contextualist themes in philosophy of language and epistemology. He advances what he calls assertoric non-descriptivism, a view that employs semantic contextualism in giving an account of moral discourse. This view, which like traditional non-descriptivist views stresses the practical, action-guiding function of moral thought and discourse, also allows that moral sentences, as typically used, make genuine assertions. Timmons then defends a contextualist moral epistemology thus completing his overall program of contextualism (...) in ethics. (shrink)

For roughly the first half of this century, philosophers in the Anglo-American tradition who worked in metaethics tended to focus much of their energies on the analysis of moral language. However, like so much else, this way of doing things started to unravel in the 1960s. These days, moral philosophers are concerned to address much broader, more substantive issues having to do with how actual moral behavior, as well as normative theorizing about such behavior, can be fitted into our best (...) overall account of the way the world is and of the place of human beings within that world. Timmons’ book is not only a fine example of such theorizing but also serves, for the uninintiated, as a highly sophisticated introduction to what contemporary metaethics is all about. (shrink)

The impact moral judgments have on our deliberations and actions seems to vary a great deal. Moral judgments play a large part in the lives of some people, who are apt not only to make them, but also to be guided by them in the sense that they tend to pursue what they judge to be of moral value, and shun what they judge to be of moral disvalue. But it seems unrealistic to claim that moral judgments play a pervasive (...) role in the lives of all or even most people. There are considerable variations in how strong a tendency people have to think in moral terms, and in how such thoughts affect their decisions and actions. For every moral hero who single- mindedly pursues moral values, there are thousands of less com- mitted people who only do so when it does not cost them too much in material comfort, personal relations, or social standing. And of course, what counts as too much varies from person to person. On top of such variations, there are those who consistently display mor- al indifference-people who concede, for example, that certain investment policies have morally problematic consequences, but who can readily and without compunction ignore that in their busi- ness decisions. There even seem to be moral subversives, people who intentionally and knowingly pursue what they acknourledge to be morally u~ong or bad, and do so for that very reason. (shrink)

Contemporary realist theories of value claim to be compatible with natural science. In this paper, I call this claim into question by arguing that Darwinian considerations pose a dilemma for these theories. The main thrust of my argument is this. Evolutionary forces have played a tremendous role in shaping the content of human evaluative attitudes. The challenge for realist theories of value is to explain the relation between these evolutionary influences on our evaluative attitudes, on the one hand, and the (...) independent evaluative truths that realism posits, on the other. Realism, I argue, can give no satisfactory account of this relation. On the one hand, the realist may claim that there is no relation between evolutionary influences on our evaluative attitudes and independent evaluative truths. But this claim leads to the implausible skeptical result that most of our evaluative judgements are off track due to the distorting pressure of Darwinian forces. The realist’s other option is to claim that there is a relation between evolutionary influences and independent evaluative truths, namely that natural selection favored ancestors who were able to grasp those truths. But this account, I argue, is unacceptable on scientific grounds. Either way, then, realist theories of value prove unable to accommodate the fact that Darwinian forces have deeply influenced the content of human values. After responding to three objections, the third of which leads me to argue against a realist understanding of the disvalue of pain, I conclude by sketching how antirealism is able to sidestep the dilemma I have presented. Antirealist theories of value are able to offer an alternative account of the relation between evolutionary forces and evaluative facts —
an account that allows us to reconcile our understanding of evaluative truth with our understanding of the many non-rational causes that have played a role in shaping our evaluative judgements. (shrink)

Moral Realism is a systematic defence of the idea that there are objective moral standards. Russ Shafer-Landau argues that there are moral principles that are true independently of what anyone, anywhere, happens to think of them. His central thesis, as well as the many novel supporting arguments used to defend it, will spark much controversy among those concerned with the foundations of ethics.

Mark Balaguer's Platonism and Anti-Platonism in Mathematics presents an intriguing new brand of platonism, which he calls plenitudinous platonism, or more colourfully, full-blooded platonism. In this paper, I argue that Balaguer's attempts to characterise full-blooded platonism fail. They are either too strong, with untoward consequences we all reject, or too weak, not providing a distinctive brand of platonism strong enough to do the work Balaguer requires of it.

Modern empiricism has been conditioned in large part by two dogmas. One is a belief in some fundamental cleavage between truths which are analytic, or grounded in meanings independently of matters of fact, and truth which are synthetic, or grounded in fact. The other dogma is reductionism: the belief that each meaningful statement is equivalent to some logical construct upon terms which refer to immediate experience. Both dogmas, I shall argue, are ill founded. One effect of abandoning them is, as (...) we shall see, a blurring of the supposed boundary between speculative metaphysics and natural science. Another effect is a shift toward pragmatism. (shrink)

This book, Foundations of Constructive Analysis, founded the field of constructive analysis because it proved most of the important theorems in real analysis by constructive methods. The author, Errett Albert Bishop, born July 10, 1928, was an American mathematician known for his work on analysis. In the later part of his life Bishop was seen as the leading mathematician in the area of Constructive mathematics. From 1965 until his death, he was professor at the University of California at San Diego.

Human beings have the unique ability to view the world in a detached way: We can think about the world in terms that transcend our own experience or interest, and consider the world from a vantage point that is, in Nagel's words, "nowhere in particular". At the same time, each of us is a particular person in a particular place, each with his own "personal" view of the world, a view that we can recognize as just one aspect of the (...) whole. How do we reconcile these two standpoints--intellectually, morally, and practically? To what extent are they irreconcilable and to what extent can they be integrated? Thomas Nagel's ambitious and lively book tackles this fundamental issue, arguing that our divided nature is the root of a whole range of philosophical problems, touching, as it does, every aspect of human life. He deals with its manifestations in such fields of philosophy as: the mind-body problem, personal identity, knowledge and skepticism, thought and reality, free will, ethics, the relation between moral and other values, the meaning of life, and death. Excessive objectification has been a malady of recent analytic philosophy, claims Nagel, it has led to implausible forms of reductionism in the philosophy of mind and elsewhere. The solution is not to inhibit the objectifying impulse, but to insist that it learn to live alongside the internal perspectives that cannot be either discarded or objectified. Reconciliation between the two standpoints, in the end, is not always possible. (shrink)

The notion of potential infinity dominated in mathematical thinking about infinity from Aristotle until Cantor. The coherence and philosophical importance of the notion are defended. Particular attention is paid to the question of whether potential infinity is compatible with classical logic or requires a weaker logic, perhaps intuitionistic.

Contains an overall account of morality in its philosophical format particularly with regard to problems of observation, evidence, and truth.

The multiverse view in set theory, introduced and argued for in this article, is the view that there are many distinct concepts of set, each instantiated in a corresponding set-theoretic universe. The universe view, in contrast, asserts that there is an absolute background set concept, with a corresponding absolute set-theoretic universe in which every set-theoretic question has a definite answer. The multiverse position, I argue, explains our experience with the enormous range of set-theoretic possibilities, a phenomenon that challenges the universe (...) view. In particular, I argue that the continuum hypothesis is settled on the multiverse view by our extensive knowledge about how it behaves in the multiverse, and as a result it can no longer be settled in the manner formerly hoped for. (shrink)

Since Edmund L. Gettier reminded us recently of a certain important inadequacy of the traditional analysis of "S knows that p," several attempts have been made to correct that analysis. In this paper I shall offer still another analysis (or a sketch of an analysis) of "S knows that p," one which will avert Gettier's problem. My concern will be with knowledge of empirical propositions only, since I think that the traditional analysis is adequate for knowledge of nonempirical truths.

Cultural pluralism is both a fact and a norm. It is a fact that our world, and indeed our society, are marked by a large diversity of cultures delineated in terms of race, class, gender, ethnicity, religion, ideology, and other partly interpenetrating variables. This fact raises the normative question of whether, or to what extent, such diversities should be recognized or even encouraged in policies concerning government, law, education, employment, the family, immigration, and other important areas of social concern.

Part of the ambiguity lies in the various points of view from which this question might be considered. The crudest di erence lies between the point of view of the working mathematician and that of the logician concerned with the foundations of mathematics. Now some of my fellow mathematical logicians might protest this distinction, since they consider themselves to be just more of those \working mathematicians". Certainly, modern logic has established itself as a very respectable branch of mathematics, and there (...) are quite a few highly technical journals in logic, such as The Journal of Sym-. (shrink)

Metaethical—or, more generally, metanormative— realism faces a serious epistemological challenge. Realists owe us—very roughly speaking—an account of how it is that we can have epistemic access to the normative truths about which they are realists. This much is, it seems, uncontroversial among metaethicists, myself included. But this is as far as the agreement goes, for it is not clear—nor uncontroversial—how best to understand the challenge, what the best realist way of coping with it is, and how successful this attempt is. (...) In this paper I try, first, to present the challenge in its strongest version, and second, to show how realists—indeed, robust realists—can cope with it. The strongest version of the challenge is, I argue, that of explaining the correlation between our normative beliefs and the independent normative truths. And I suggest an evolutionary explanation as a way of solving it. (shrink)

Moral disagreement is widely held to pose a threat for metaethical realism and objectivity. In this paper I attempt to understand how it is that moral disagreement is supposed to present a problem for metaethical realism. I do this by going through several distinct (though often related) arguments from disagreement, carefully distinguishing between them, and critically evaluating their merits. My conclusions are rather skeptical: Some of the arguments I discuss fail rather clearly. Others supply with a challenge to realism, but (...) not one we have any reason to believe realism cannot address successfully. Others beg the question against the moral realist, and yet others raise serious objections to realism, but ones that—when carefully stated—can be seen not to be essentially related to moral disagreement. Arguments based on moral disagreement itself have almost no weight, I conclude, against moral realism. (shrink)

With a new foreword by Jonathan Lear 'Remarkably lively and enjoyable…It is a very rich book, containing excellent descriptions of a variety of moral theories, and innumerable and often witty observations on topics encountered on the way.' -_ Times Literary Supplement_ Bernard Williams was one of the greatest philosophers of his generation. Ethics and the Limits of Philosophy is not only widely acknowledged to be his most important book, but also hailed a contemporary classic of moral philosophy. Drawing on the (...) ideas of the Greek philosophers, Williams reorients ethics away from a preoccupation with universal moral theories towards ‘truth, truthfulness and the meaning of an individual life’. He explores and reflects upon the most difficult problems in contemporary philosophy and identifies new ideas about central issues such as relativism, objectivity and the possibility of ethical knowledge. This edition also includes a commentary on the text by A.W.Moore. At the time of his death in 2003, Bernard Williams was hailed by the Times as 'the outstanding moral philosopher of his age.' He taught at the Universities of Cambridge, Berkeley and Oxford and is the author of many influential books, including _Morality; Descartes: The Project of Pure Enquiry_ and _Truth and Truthfulness_. (shrink)

By the time of his death in 2003, Bernard Williams was one of the greatest philosophers of his generation. Ethics and the Limits of Philosophy is not only widely acknowledged to be his most important book, but also hailed a contemporary classic of moral philosophy. Presenting a sustained critique of moral theory from Kant onwards, Williams reorients ethical theory towards ‘truth, truthfulness and the meaning of an individual life’. He explores and reflects upon the most difficult problems in contemporary philosophy (...) and identifies new ideas about central issues such as relativism, objectivity and the possibility of ethical knowledge. (shrink)

David Enoch develops, argues for, and defends a strongly realist and objectivist view of ethics and normativity more broadly. This view--according to which there are perfectly objective, universal, moral and other normative truths that are not in any way reducible to other, natural truths--is familiar, but this book is the first in-detail development of the positive motivations for the view into reasonably precise arguments. And when the book turns to defend Robust Realism against traditional objections, it mobilizes the original positive (...) arguments for the view to help with fending off the objections. (shrink)

In this important new book Nagel, one of the most distinguished philosophers writing in English today, presents a sustained defence of reason against the attacks of subjectivism. He offers systematic rebuttals of relativistic claims with respect to language, logic, science, and ethics.

Moral thinking pervades our practical lives, but where did this way of thinking come from, and what purpose does it serve? Is it to be explained by environmental pressures on our ancestors a million years ago, or is it a cultural invention of more recent origin? In The Evolution of Morality, Richard Joyce takes up these controversial questions, finding that the evidence supports an innate basis to human morality. As a moral philosopher, Joyce is interested in whether any implications follow (...) from this hypothesis. Might the fact that the human brain has been biologically prepared by natural selection to engage in moral judgment serve in some sense to vindicate this way of thinking--staving off the threat of moral skepticism, or even undergirding some version of moral realism? Or if morality has an adaptive explanation in genetic terms--if it is, as Joyce writes, "just something that helped our ancestors make more babies"--might such an explanation actually undermine morality's central role in our lives? He carefully examines both the evolutionary "vindication of morality" and the evolutionary "debunking of morality," considering the skeptical view more seriously than have others who have treated the subject.Interdisciplinary and combining the latest results from the empirical sciences with philosophical discussion, The Evolution of Morality is one of the few books in this area written from the perspective of moral philosophy. Concise and without technical jargon, the arguments are rigorous but accessible to readers from different academic backgrounds. Joyce discusses complex issues in plain language while advocating subtle and sometimes radical views. The Evolution of Morality lays the philosophical foundations for further research into the biological understanding of human morality. (shrink)

Can the straight line be analysed mathematically such that it does not fall apart into a set of discrete points, as is usually done but through which its fundamental continuity is lost? And are there objects of pure mathematics that can change through time? Mathematician and philosopher L.E.J. Brouwer argued that the two questions are closely related and that the answer to both is "yes''. To this end he introduced a new kind of object into mathematics, the choice sequence. But (...) other mathematicians and philosophers have been voicing objections to choice sequences from the start. This book aims to provide a sound philosophical basis for Brouwer's choice sequences by subjecting them to a phenomenological critique in the style of the later Husserl. (shrink)

Folke Tersman explores what we can learn about the nature of moral thinking by examining moral disagreement. He explains how diversity of opinion on moral issues undermines the idea that moral convictions can be objectively valued. Arguments on moral thinking are often criticized for not being able to explain why there is a contrast between ethics and other areas in which there is disagreement, but where one does not give up the idea of an objective truth, as in the natural (...) sciences. Tersman shows that the contrast has to do with facts about when, and on what basis, moral convictions can be correctly attributed to an agent or speaker. (shrink)

Science Without Numbers caused a stir in 1980, with its bold nominalist approach to the philosophy of mathematics and science. It has been unavailable for twenty years and is now reissued in a revised edition with a substantial new preface presenting the author's current views and responses to the issues raised in subsequent debate.

The impact moral judgments have on our deliberations and actions seems to vary a great deal. Moral judgments play a large part in the lives of some people, who are apt not only to make them, but also to be guided by them in the sense that they tend to pursue what they judge to be of moral value, and shun what they judge to be of moral disvalue. But it seems unrealistic to claim that moral judgments play a pervasive (...) role in the lives of all or even most people. There are considerable variations in how strong a tendency people have to think in moral terms, and in how such thoughts affect their decisions and actions. For every moral hero who single-mindedly pursues moral values, there are thousands of less committed people who only do so when it does not cost them too much in material comfort, personal relations, or social standing. And of course, what counts as too much varies from person to person. On top of such variations, there are those who consistently display moral indifference—people who concede, for example, that certain investment policies have morally problematic consequences, but who can readily and without compunction ignore that in their business decisions. There even seem to be moral subversives, people who intentionally and knowingly pursue what they acknowledge to be morally wrong or bad, and do so for that very reason. (shrink)