Complex demonstratives, expressions of the form 'That F', 'These Fs', etc., have traditionally been taken to be referring terms. Yet they exhibit many of the features of quantified noun phrases. This has led some philosophers to suggest that demonstrative determiners are a special kind of quantifier, which can be paraphrased using a context sensitive definite description. Both these views contain elements of the truth, though each is mistaken. We advance a novel account of the semantic form of complex demonstratives that (...) shows how to reconcile the view that they function like quantified noun phrases with the view that simple demonstratives function as context sensitive referring terms wherever they occur. If we are right, previous accounts of complex demonstratives have misconceived their semantic role; and philosophers relying on the majority view in employing complex demonstratives in analysis have proceeded on a false assumption. (shrink)

The dead have no interests and are beyond both harm or benefit, but warrant for respecting the wishes of the dead may be found in the traditional notion of the social contract.

We study the fine structure of the core model for one Woodin cardinal, building of the work of Mitchell and Steel on inner models of the form . We generalize to some combinatorial principles that were shown by Jensen to hold in L. We show that satisfies the statement: “□κ holds whenever κ the least measurable cardinal λ of order λ++”. We introduce a hierarchy of combinatorial principles □κ, λ for 1 λ κ such that □κ□κ, 1 □κ, λ □κ, (...) κ□κ*. We prove that if holds in V. As an application, we show that ZFC + PFA Con. We also obtain one Woodin cardinal as a lower bound on the consistency strength of stationary reflection at κ+ for a singular, countably closed limit cardinal κ such that # exists; likewise for the failure of □κ* at such a κ. (shrink)

Private law governs our most pervasive relationships with other people: the wrongs we do to one another, the property we own and exclude from others' use, the contracts we make and break, and the benefits realized at another's expense that we cannot justly retain. The major rules of private law are well known, but how they are organized, explained, and justified is a matter of fierce debate by lawyers, economists, and philosophers.

First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain (...) in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

This volume of essays deals with the problem of relativism, in particular cultural relativism. If our society knows better than other societies, how do we know that it knows better? There is a profound irony in the fact that this self-doubt has become most acute in the one civilisation that has persuaded the rest of the world to emulate it. The claim to cognitive superiority is often restricted, of course, to the limited sphere of natural science and technology; and that (...) immediately raises the second main theme of this volume - the differences between the human and natural sciences. These essays reach towards a new style and mode of enquiry - a mixture of philosophy, history and anthropology - that promises to prove more revealing and fruitful. (shrink)

This book offers an up-to-date overview of the research on philosophy of mathematics education, one of the most important and relevant areas of theory. The contributions analyse, question, challenge, and critique the claims of mathematics education practice, policy, theory and research, offering ways forward for new and better solutions. The book poses basic questions, including: What are our aims of teaching and learning mathematics? What is mathematics anyway? How is mathematics related to society in the 21st century? How do students (...) learn mathematics? What have we learnt about mathematics teaching? Applied philosophy can help to answer these and other fundamental questions, and only through an in-depth analysis can the practice of the teaching and learning of mathematics be improved. The book addresses important themes, such as critical mathematics education, the traditional role of mathematics in schools during the current unprecedented political, social, and environmental crises, and the way in which the teaching and learning of mathematics can better serve social justice and make the world a better place for the future. (shrink)

A traditional problem of ethics in mathematics is the denial of social responsibility. Pure mathematics is viewed as neutral and value free, and therefore free of ethical responsibility. Applications of mathematics are seen as employing a neutral set of tools which, of themselves, are free from social responsibility. However, mathematicians are convinced they know what constitutes good mathematics. Furthermore many pure mathematicians are committed to purism, the ideology that values purity above applications in mathematics, and some historical reasons for this (...) are discussed. MacIntyre’s virtue ethics accommodates both the good mathematician and the ethics of the social practice of mathematics. It demonstrates that purism is compatible with acknowledging the social responsibility of mathematics. Four aspects of this responsibility are mentioned, two concerning the impact of mathematics via education, and two concerning explicit and implicit applications of mathematics. The last of these opens up the performativity of mathematical and measurement applications in society, which change the very processes they are supposed to measure. Although these applications are not explored in detail, they illustrate the importance of considering the ethics and social responsibility of mathematics in society. MacIntyre’s virtue theory opens a broad approach to the controversial topic of the ethics of mathematics encompassing purism, and absolutist and social constructivist philosophies of mathematics, but still enabling ethical critiques of the impact of mathematics on society. (shrink)

Naturalism rejects a sui generis and fundamental realm of the evaluative or normative. Thought and talk about the good and the right must hence be understood without appeal to any such evaluative or normative concepts or properties. In Sections I and II, we see noncognitivism step forward with its account of evaluative and normative language as fundamentally optative or prescriptive. Prescriptivism falls afoul of several problems. Prominent among them below is the “problem of prima facie reasons”: the problem, namely that (...) prescriptions do not properly capture the character of defeasibility of the prima facie, featured by nearly all our moral convictions. We find in Section II that, ironically, emotivism, with its emphasis on optative rather than prescriptive language, though historically more primitive, is yet better attuned to that crucial prima facie aspect of the normative and the evaluative. But even emotivism still faces serious difficulties that beset noncognitivism generally, such as the problem of embedding in subordinate clauses, and the problem of normative fallibility. That takes us up to Section III. (shrink)

Community-researcher partnerships constitute one of the most important recent developments in biomedical ethics. The partnerships protect vulnerable communities within which research is conducted and help ensure that the communities benefit from the research. At the same time, they embody deep, core values about the social nature of persons and the value of community that significantly modify the radical individualism too often associated with the prevailing concepts of autonomy and respect for persons. This article examines the burgeoning literature on community-researcher partnerships (...) to identify the main ways of thinking ethically about the obligations of investigators and the roles and rights of communities in scientific research. The paper helps to uncover the deep commonalities and differences that mark the current debate in this emerging arena of research ethics, a debate over the social nature of persons that is beginning to influence the understanding of other bioethical issues. (shrink)

Professor Reichenbach's writings have repeatedly called attention to the important rôle which probability statements play in all inquiry, and he has made amply clear that no philosophy of science can be regarded as adequate which does not square its accounts with the problems of probable inference. Recently he has brought together in convenient form many reflections on the methodology of science familiar to readers of his earlier works, and at the same time he has set himself the task of solving (...) many well-known problems of epistemology in terms of his theory of probability. His latest book is therefore of great interest, both because of the light it throws on Professor Reichenbach's own views and because it reveals the power and limitations of one approach to the problems of science. In particular, while it does not add to the details of his theory of probability worked out elsewhere, the applications Professor Reichenbach now makes of it supply fresh clues for judging its import and adequacy. The object of the present essay, therefore, is to expound a number of his views on probability and epistemology, with a view to examining his conclusions and their relevance to the problems he aims to resolve. The discussion will try to determine whether several features of his present views do not follow from assumptions which he has not sufficiently considered; whether his logical constructions do not create new puzzles; and whether a different starting-point should not be taken if the clarification of scientific concepts and procedures, to which Professor Reichenbach's devotion is as unexcelled as it is well known, is to be successfully conducted. (shrink)

This paper advances a general argument, inspired by some remarks of Davidson, to show that appeal to meanings as entities in the theory of meaning is neither necessary nor sufficient for carrying out the tasks of the theory of meaning. The crucial point is that appeal to meaning as entities fails to provide us with an understanding of any expression of a language except insofar as we pick it out with an expression we understand which we tacitly recognize to be (...) a translation of the term whose meaning we want to illuminate by the appeal to assigning to it a meaning. The meaning drops out as irrelevant: the work is done, and can only be done, by matching terms already understood with terms they translate. (shrink)

This paper is truly a joint effort and it could not have been written without the contribution of both authors. Garson, though, deserves credit (or blame) for first seeing the need for two kinds of quantifier scope, and also for devising essentials of the positive theory.

For corrective justice, liability is the consequence of the parties' being correlatively situated as the doer and sufferer of an injustice, and the remedy is seen as undoing that injustice to the extent possible. Combining consideration of legal doctrine and private law theory, this article applies the framework of corrective justice to gain-based damages for torts. Within this framework, restitutionary damages ought to be available only insofar as they correspond to a constituent element in the injustice that the defendant has (...) done to the plaintiff. The radical proposal that allows restitutionary damages for any wrongful gain is unsatisfactory because it fails to link the damages that the plaintiff receives to the normative quality of the defendant's wrong. In contrast, dealings in another's property give rise to such damages because the idea of property includes within the owner's entitlement the potential gainsfrom the property's use or alienation. Restitutionary damages should not be seen as serving a deterrent or punitive function; such a function cannot account for why the plaintiff, of all people, is entitled to the defendant's gain. Properly understood, even situations where the plaintiff's wilfulness or calculation increases the damage award fit within the framework of corrective justice. The corrective justice approach thus repudiates the notion that restitutionary damages are occasions for the promotion of social purposes extrinsic to the juridical relationship between the parties. (shrink)

Knowledge of the nature of knowledge is deplorably scarce. Fortunately, the reason is not lack of interest. On the contrary, the bewildering variety of competing theories is part of the problem. It is to, be hoped, however, that intensive discussion of such theories will help reduce the scarcity. In what follows I want to contribute to this end by briefly discussing two of the theories.

The essays in this volume gather together Gellner's thinking on the connection between philosophy and life and they approach the topic from a number of directions: philosophy of morals, history of ideas, a discussion of individuals including R. G. Collingwood, Noam Chomsky, Piaget and Eysenck and discussions on the setting of philosophy in the general culture of England and America.

We present a question about Suslin trees and the weak square hierarchy which was contributed to the list of open problems of the BIRS workshop.

The following comments represent what seem to me promising lines of approach to some of the broader issues in the philosophy of logic. They are offered, it is perhaps unnecessary to say, with the intent of stimulating rather than foreclosing discussion. And if the conclusions advanced are formulated loosely and with only a crude indication of the arguments which support them, I hope that thereby they will provoke all the more the free flow of discourse which it is the object (...) of this Conference to promote. (shrink)