Introduction to the work David Hume described as the best of his many writings.

The Concept of Law is one of the most influential texts in English-language jurisprudence. 50 years after its first publication its relevance has not diminished and in this third edition, Leslie Green adds an introduction that places the book in a contemporary context, highlighting key questions about Hart's arguments and outlining the main debates it has prompted in the field. The complete text of the second edition is replicated here, including Hart's Postscript, with fully updated notes to include modern references (...) and further reading. (shrink)

This book is an exploration of philosophical questions about infinity. Graham Oppy examines how the infinite lurks everywhere, both in science and in our ordinary thoughts about the world. He also analyses the many puzzles and paradoxes that follow in the train of the infinite. Even simple notions, such as counting, adding and maximising present serious difficulties. Other topics examined include the nature of space and time, infinities in physical science, infinities in theories of probability and decision, the nature of (...) part/whole relations, mathematical theories of the infinite, and infinite regression and principles of sufficient reason. (shrink)

Introduction to one of the most important, controversial, and suggestive works of moral philosophy ever written.

This study uses techniques from economics to illuminate fundamental questions in ethics, particularly in the foundations of utilitarianism. Topics considered include the nature of teleological ethics, the foundations of decision theory, the value of equality and the moral significance of a person's continuing identity through time.

Two options are incommensurate in value if neither is better than the other, and if a small improvement or worsening of one does not necessarily make it determinately better or worse than the other. If a person faces a sequence of choices between incommensurate options, she may end up with a worse options than she could have had, even though none of her choices are irrational. Yet it seems that rationality should save her from this bad outcome. This is the (...) practical problem posed by incommensurability of values, and it may be solved by a new account of practical reasoning. (shrink)

What sorts of consideration can be normative reasons for action? If we systematize the wide variety of considerations that can be cited as normative reasons, do we find that there is a single kind of consideration that can always be a reason? Desire-based theorists think that the fact that you want something or would want it under certain evaluatively neutral conditions can always be your normative reason for action. Value-based theorists, by contrast, think that what plays that role are evaluative (...) facts (or the facts that subvene them) about what you want, such as the fact that having it would be good in some way. This paper argues that value-based theorists are wrong; if we try to find a single kind of consideration that can always be normative reason, we find that sometimes our reason is the fact that we want something and not any corresponding evaluative fact. (shrink)

This paper presents an argument against the widespread view that ‘hard choices’ are hard because of the incomparability of the alternatives. The argument has two parts. First, I argue that any plausible theory of practical reason must be ‘comparativist’ in form, that is, it must hold that a comparative relation between the alternatives with respect to what matters in the choice determines a justified choice in that situation. If comparativist views of practical reason are correct, however, the incomparabilist view of (...) hard choices should be rejected. Incomparabilism about hard choices leads us to an implausible error theory about the phenomenology of hard choices, threatens an unattractive view of human agency, and leaves us in perplexity about what we are doing when we choose in hard choices. The second part of the argument explores the main competitor to comparativist views of practical reason, noncomparativist view, according tow which a choice is justified so long as it is not worse than any of the alternatives. This view is often assumed by rational choice theorists but has its best philosophical defense in work by Joseph Raz. On Raz’s view, incomparabilism about hard choices avoids the problems faced if comparativism is correct, but it faces different difficulties. I argue that Raz’s noncomparativist view mistakenly assimilates practical reason to more restricted normative domains such as the law. (shrink)

Perfectionism is one of the leading moral views of the Western tradition, defended by Plato, Aristotle, Aquinas, Leibniz, Hegel, Marx, Nietzsche, and Green. Defined broadly, it holds that what is right is whatever most promotes certain objective human goods such as knowledge, achievement, and deep personal relations. Defined more narrowly, it identifies these goods by reference to human nature, so the human good consistsin developing the properties fundamental to human beings. If it is fundamental to humans to be rational (Aristotle), (...) to labor (Marx), or to exercise power (Nietzsche), developing these traits is best. This book tries to formulate the most defensible version of perfectionism using contemporary analytic techniques. It first examines narrow perfectionism, asking what kind of properties human nature consists in (distinctive? essential?); how these properties are identified; and what they are. It then explores issues relevant to both broad and narrow perfectionism, including whether each person should pursue just his own perfection or everyone's; how perfectionist goods are compared and aggregated; and in what particular times they are. On the last topic it develops an “Aristotelian” theory of the value of theoretical and practical rationality, as embodied in beliefs and ends with specified formal properties. The book closes by examining perfectionism's implications for political questions about liberty and equality. (shrink)

When Ingmar and I discuss metaphysics or morality, our views are seldom far apart. Hut on the subjects of this paper, rationality and reasons, we deeply disagree.

Recently, some of the leading proponents of the view that there is widespread incommensurability among goods have suggested that the incommensurability of some goods is a constitutive feature of the goods themselves. So, for example, a friendship and a million dollars are incommensurable because it is part of what it is to be a friendship that it be incommensurable with money. According to these ‘constitutive incommensurabilists’ incommensurability follows from the very nature of certain goods. In this paper, I examine this (...) idea and argue that constitutive incommensurabilists have mistaken for constitutive incommensurability a particular emphatic kind of comparability. This examination involves an account of ‘higher’ and ‘lower’ goods and an explanation of how goods of different ‘types’ figure in practical conflict. (shrink)

Human agents act for reasons that contribute to their good. However, in our explanation of why agents act for reasons that depend on what they value, we encounter the problem of situations in which goods are neither better than others nor are of equal value. The incommensurability of value can then be seen to lead to an incommensurability of reasons for action. Examining rationalist and classical conceptions of human agency, Raz uses the presence of incommensurability to understand how this affects (...) the relation between reasons and the will, and its effects on our practical reasoning and deliberation. A proper understanding of human agency will take for granted that the goodness of options are incommensurate and that explanations concerning what we want cannot solely be accomplished in terms of reasons. (shrink)

When faced with multiple claims to a particular good, what does distributive justice require? To answer this question, we need a substantive moral theory that will enable us assign relative moral weights to the parties' claims. But this is not all we need. Once we have assessed the moral weight of each party's claim, we still need to decide what method of distribution to employ, for there are two methods open to us. We could take the winner-take-all approach, and award (...) the good to the party with the strongest claim. On the other hand, we could divide the good proportionally, according to the relative strength of each party's claim. Because the choice between these two methods of distribution can have a dramatic impact on the resulting pattern of distribution, the choice presents a question of justice. But this is a question of justice that is often overlooked. As a result, we currently employ the principle of proportionality far less often than justice actually requires. If we focus on the question of distributive method, however, we are not only better able to understand how certain reasons enter into our all-things-considered moral judgments, we are also able to explain some perplexing but common aspects of our moral beliefs: how rights can be said to have peremptory force, yet still be balanced against other important interests; how justice can sometimes require compromise, yet sometimes require victory; and how a moral theory can avoid being too demanding while still being demanding enough. Key Words: autonomy • equality • indivisibility • inviolability • weighted lotteries • rights. (shrink)

This book explores the various aspects of social justice--to each according to his rights, to each acording to his desert, and to each according to his need--comparing the writings of Hume, Spencer, and Kropotkin. Miller demonstrates that there are radical differences in outlook on social justice between societies, and that these differences can be explained by reference to features of the social structure.

Hume's place in history -- Moral psychology -- Strategic analysis -- Convention -- Political theory -- Justice as order -- Utilitarianism -- Value theory -- Retrospective.

Excerpts from Robert Nozick's "Invariances" Necessary truths are invariant across all possible worlds, contingent ones across only some.

This paper is the introduction to the volume. It gives an argumentative view of the philosophical landscape concerning incommensurability and incomparability. It argues that incomparability, not incommensurability, is the important phenomenon on which philosophers should be focusing and that the arguments for the existence of incomparability are so far not compelling.

This book addresses the perennial question: What is justice?

Women as commercial baby factories, nature as an economic resource, life as one big shopping mall: This is what we get when we use the market as a common ...

Is morality rational? In this book Gauthier argues that moral principles are principles of rational choice. He proposes a principle whereby choice is made on an agreed basis of cooperation, rather than according to what would give an individual the greatest expectation of value. He shows that such a principle not only ensures mutual benefit and fairness, thus satisfying the standards of morality, but also that each person may actually expect greater utility by adhering to morality, even though the choice (...) did not have that end primarily in view. In resolving what may appear to be a paradox, the author establishes morals on the firm foundation of reason. Gauthier's argument includes an account of value, linking it to preference and utility; a discussion of the curcumstances in which morality is unnecessary; and an application of morals by agreement to relations between peoples at different levels of development and different generations. Finally, he reflects on the assumptions about individuality and community made by his account of rationality and morality. (shrink)

This paper argues for the existence of a fourth positive generic value relation that can hold between two items beyond ‘better than’, ‘worse than’, and ‘equally good’: namely ‘on a par’.

This paper begins with a response to Josh Gert’s challenge that ‘on a par with’ is not a sui generis fourth value relation beyond ‘better than’, ‘worse than’, and ‘equally good’. It then explores two further questions: can parity be modeled by an interval representation of value? And what should one rationally do when faced with items on a par? I argue that an interval representation of value is incompatible with the possibility that items are on a par (a mathematical (...) proof is given in the appendix). I also suggest that there are three senses of ‘rationally permissible’ which, once distinguished, show that parity does distinctive practical work that cannot be done by the usual trichotomy of relations or by incomparability. In this way, we have an additional argument for parity from the workings of practical reason. (shrink)

Challenging, with several powerful arguments, some of our deepest beliefs about rationality, morality, and personal identity, Parfit claims that we have a false view about our own nature. It is often rational to act against our own best interersts, he argues, and most of us have moral views that are self-defeating. We often act wrongly, although we know there will be no one with serious grounds for complaint, and when we consider future generations it is very hard to avoid conclusions (...) that most of us will find very disturbing. (shrink)

In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the "Mindscape," where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Here Rucker acquaints us with Gödel's rotating universe, in which it is theoretically possible to travel into the past, and explains an interpretation of quantum mechanics in which billions of parallel worlds are produced every microsecond. It is in the realm of infinity, he (...) maintains, that mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise from this merging, we can learn a great deal about the human mind, its powers, and its limitations. Using cartoons, puzzles, and quotations to enliven his text, Rucker guides us through such topics as the paradoxes of set theory, the possibilities of physical infinities, and the results of Gödel's incompleteness theorems. His personal encounters with Gödel the mathematician and philosopher provide a rare glimpse at genius and reveal what very few mathematicians have dared to admit: the transcendent implications of Platonic realism. (shrink)

Henry Richardson argues that we can determine our ends rationally. He constructs a rich and original theory of how we can reason about our final goals. Richardson defuses the counter-arguments for the limits of rational deliberation, and develops interesting ideas about how his model might be extended to interpersonal deliberation of ends, taking him to the borders of political theory. Along the way Richardson offers illuminating discussions of, inter alia, Aristotle, Aquinas, Sidgwick, and Dewey, as well as the work of (...) several contemporary philosophers. (shrink)

This book is the first comprehensive study of the meaning and measure of enforceability. While we have long debated what restraints should govern the conduct of our social life, we have paid relatively little attention to the question of what it means to make a restraint enforceable. Focusing on the enforceability of legal rights but also addressing the enforceability of moral rights and social conventions, Mark Reiff explains how we use punishment and compensation to make restraints operative in the world. (...) After describing the various means by which restraints may be enforced, Reiff explains how the sufficiency of enforcement can be measured, and he presents a unified theory of deterrence, retribution, and compensation that shows how these aspects of enforceability are interconnected. Reiff then applies his theory of enforceability to illuminate a variety of real-world problem situations. (shrink)

This book was published in 2003.This volume presents a detailed examination of incommensurability in the value-theoretical sense. Exploring how choosers deal with problems and constraints of choice, the author draws on work in cognitive psychology, in sociology, in jurisprudence, in economics, and in the theory of value to show how choosers learn to make trade-offs when there is potential incommensurability among the options they are considering. The analysis is also informed by recent work in the tradition of Michel Foucault. With (...) so many modern devices and ideals of government dependent on the comparability of options, this book is timely and can inform public debate about de-regulation, user-pays, accountability, and the substitution of market mechanisms for government regulation and supply. (shrink)

Liberalism is today under attack. This attack is being fought along two fronts, and so appears to be coming from different directions, but it is actually coming exclusively from the right. One source is Islamic fundamentalism, and the other is American neo-conservatism, which in turn unites elements of Christian fundamentalism with elements of neo-Platonic political philosophy and neo-Aristotelian moral theory. Both Islamic fundamentalism and American neo-conservatism are perfectionist views, and while perfectionist attacks on liberalism are nothing new, there is a (...) special danger in the position that liberalism currently finds itself. Although bitterly opposed to each other and divided by utterly incompatible substantive views, these two sources of attack share many similarities at a more fundamental level of political theory. The purpose of this paper is accordingly to focus our attention on the similarities between these seemingly opposing perfectionist views, and to defend liberalism against one of the most serious accusations that perfectionists from both camps make against it—the claim that liberalism leads to nihilism. (shrink)

Eli Maor examines the role of infinity in mathematics and geometry and its cultural impact on the arts and sciences. He evokes the profound intellectual impact the infinite has exercised on the human mind--from the "horror infiniti" of the Greeks to the works of M. C. Escher from the ornamental designs of the Moslems, to the sage Giordano Bruno, whose belief in an infinite universe led to his death at the hands of the Inquisition. But above all, the book describes (...) the mathematician's fascination with infinity--a fascination mingled with puzzlement. "Maor explores the idea of infinity in mathematics and in art and argues that this is the point of contact between the two, best exemplified by the work of the Dutch artist M. C. Escher, six of whose works are shown here in beautiful color plates."--Los Angeles Times "[Eli Maor's] enthusiasm for the topic carries the reader through a rich panorama."--Choice "Fascinating and enjoyable.... places the ideas of infinity in a cultural context and shows how they have been espoused and molded by mathematics."--Science. (shrink)

The incomparability of two items is thought to pose a problem for making justified choices and for consequentialist theories that rely on comparing states of the world to judge the goodness of a particular course of action. In response, it has been argued that items thought incomparable by one of the three standard relations, ‘better than’, ‘worse than’ and ‘equally good’, are instead comparable by some fourth relation, such as ‘roughly equal’ or ‘on a par’. Against such accounts, this article (...) argues that values in virtue of which comparisons are made can be ‘clumpy’ and that in comparisons involving clumpy values, we have no reason to accept ‘roughly equal’ or ‘on a par’ as distinct from ‘equally good’. The article supports the possibility of incomparability by arguing for an interpretation of incomparability as an instance of incommensurability. (shrink)