Russell’s rejection in 1898 of the doctrine of internal relations — the view that all relations are grounded in the intrinsic properties of the terms related — was a decisive part of his break with Hegelianism and opened the way for his turn to analytic philosophy. Before rejecting it, Russell had given the doctrine little thought, though it played an essential role in the most intractable of the problems facing his attempt to construct a Hegelian dialectic of the sciences. I (...) argue that it was Russell’s early reading of Leibniz, in preparation for his lectures on Leibniz given at Cambridge in 1899, that most probably alerted him to the role the doctrine was playing in his own philosophy. Leibniz defended a similar doctrine and extricated it from difficulties like those faced by Russell by means of devices that were not open to Russell. Russell would have come across these views of Leibniz in writings by Leibniz that he read in the summer of 1898, just before he rejected the doctrine of internal relations. References F. H. Bradley. Appearance and Reality. Oxford: Clarendon Press, 1968. Originally published 1893. Nicholas Griffin. Russell’s Idealist Apprenticeship. Oxford: Clarendon Press, 1991. Nicholas Griffin. Russell and Leibniz on the Classification of Propositions. In Ralf Krömer and Yannick Chin-Drian, editors, New Essays on Leibniz Reception. Basel, Birkhäuser, pp. 85–127, 2012. http://dx.doi.org/10.1007/978-3-0346-0504-5 G. W. Leibniz. Die Philosophischen Schriften von Leibniz, 7 Volumes. Edited by C.I. Gerhardt. Berlin, Weidman, 1875–90. G. W. Leibniz. The Philosophical Works of Leibnitz. Edited by G.M. Duncan. New Haven, Tuttle, Morehouse and Taylor, 1890. G. W. Leibniz. New Essays Concerning Human Understanding, Translated by A.G. Langley. London, Macmillan, 1896. G. W. Leibniz. The Monadology and other Philosophical Writings. Edited by R. Latta. Oxford: Oxford University Press, 1898. G. W. Leibniz. Philosophical Papers and Letters, 2 Volumes. Edited by L.E. Loemker. Chicago, University of Chicago Press, 1956. G. W. Leibniz. New Essays Concerning Human Understanding, Translated and Edited by Peter Remnant and Jonathan Bennett. Cambridge, Cambridge University Press, 1981. Massimo Mugnai. Leibniz’ Theory of Relations. Stuttgart: Steiner, 1992. Massimo Mugnai. Leibniz’s Ontology of Relations: A Last Word?. In Oxford Studies in Early Modern Philosophy, Volume IV. Edited by Daniel Garber and Donald Rutherford. Oxford, Oxford University Press, 2012. http://dx.doi.org/10.1093/acprof:oso/9780199659593.001.0001 Walter H. O’Briant. Russell on Leibniz. Studia Leibniziana, 11: 159–222, 1979. B. Russell. An Essay on the Foundations of Geometry. New York, Dover, 1956. B. Russell. My Philosophical Development. London, Allen and Unwin, 1959. B. Russell. The Principles of Mathematics. London: Allen and Unwin, 1964. B. Russell. The Monistic Theory of Truth. In Philosophical Essays New York, Simon and Schuster, pages 131–46, 1968. B. Russell. A Critical Exposition of the Philosophy of Leibniz. London, Allen and Unwin, 1975. B. Russell, The Collected Papers of Bertrand Russell, vol. 1, Cambridge Essays, 1888–99, edited by Kenneth Blackwell, et al. London, Allen and Unwin, 1983. B. Russell. The Collected Papers of Bertrand Russell, vol. 2, Philosophical Papers, 1896–99, edited by Nicholas Grif?n and Albert C. Lewis. London, Routledge, 1989a. B. Russell. On the Relations of Number and Quantity (1897). In Russell [1989a], pages 70–82, 1989b. B. Russell. An Analysis of Mathematical Reasoning (1898). In Russell [1989a], pages 163–241, 1989c. B. Russell. The Classification of Relations (1899), in Russell [1989a], pages 138–46, 1989d. B. Russell. The Fundamental Ideas and Axioms of Mathematics (1899). In Russell [1989a], pages 265–305, 1989e. B. Russell. The Collected Papers of Bertrand Russell, vol. 3, Towards “The Principles of Mathematics”, 1900–02, edited by Gregory H. Moore. London, Routledge, 1993a. B. Russell. The Principles of Mathematics, 1899–1900 Draft. In Russell [1993a], pages 13–180, 1993b. B. Russell. The Collected Papers of Bertrand Russell, vol. 11, Last Philosophical Testament, 1943–68. Edited by John G. Slater. London, Routledge, 1997. (shrink)
Alan Millar's paper (2011) involves two parts, which I address in order, first taking up the issues concerning the goal of inquiry, and then the issues surrounding the appeal to reflective knowledge. I argue that the upshot of the considerations Millar raises count in favour of a more important role in value-driven epistemology for the notion of understanding and for the notion of epistemic justification, rather than for the notions of knowledge and reflective knowledge.
Prepared by editors of the distinguished series The Works of Jonathan Edwards, this authoritative anthology includes selected treatises, sermons, and autobiographical material by early America’s greatest theologian and philosopher.
John Stuart Mill argued, in his Principles of Political Economy, that existing laws and customs of private property ought to be reformed to promote a far more egalitarian form of capitalism than hitherto observed anywhere. He went on to suggest that such an ideal capitalism might evolve spontaneously into a decentralized socialism involving a market system of competing worker co-operatives. That possibility of market socialism emerged only as the working classes gradually developed the intellectual and moral qualities required for worker (...) co-operatives to succeed against private firms. Workers would tend to reject the hierarchical wage relation as they developed the requisite personal qualities, he believed, and capitalists, facing escalating wages for skilled labour as a result of the diminishing supply of high-quality workers for hire, would tend to lend their capital to the worker co-operatives ‘at a diminishing rate of interest, and at last, perhaps, even to exchange their capital for terminable annuities. In this or some such mode’, he speculated, ‘the existing accumulations of capital might honestly, and by a kind of spontaneous process, become in the end the joint property of all who participate in their productive employment: a transformation which, thus effected, would be the nearest approach to social justice, and the most beneficial ordering of industrial affairs for the universal good, which it is possible at present to foresee.’. (shrink)
Jonathan Dancy works within almost all fields of philosophy but is best known as the leading proponent of moral particularism. Particularism challenges “traditional” moral theories, such as Contractualism, Kantianism and Utilitarianism, in that it denies that moral thought and judgement relies upon, or is made possible by, a set of more or less well-defined, hierarchical principles. During the summer of 2006, the Philosophy Departments of Lund University (Sweden) and the University of Reading (England) began a series of exchanges to (...) take place every other year, alternating between the departments. Andreas Lind and Johan Brännmark arranged to meet Dancy during the first meeting in Lund to talk about questions regarding particularism, moral theory and the shape of the analytical tradition. The major part of the conversation is printed below. (shrink)
Arrhenius and Rabinowicz have argued that Millian qualitative superiorities are possible without assuming that any pleasure, or type of pleasure, is infinitely superior to another. But AR's analysis is fatally flawed in the context of ethical hedonism, where the assumption in question is necessary and sufficient for Millian qualitative superiorities. Marginalist analysis of the sort pressed by AR continues to have a valid role to play within any plausible version of hedonism, provided the fundamental incoherence that infects AR's use of (...) such analysis is removed. But what AR call ‘Millian superiorities’ are never genuine qualitative superiorities in Mill's sense. Mill scholars need to appreciate this point and recognize that the interpretation of qualitative superiorities as infinite superiorities is the only interpretation which is compatible with the text of Mill's Utilitarianism. The continuing failure to appreciate the possibility of infinite superiorities has precluded any adequate understanding of the extraordinary structure of Mill's pluralistic hedonistic utilitarianism. (shrink)
In 1970 Amartya Sen exposed an apparent antinomy that has come to be known as the Paradox of the Paretian Libertarian. Sen introduced his paradox by establishing a simple but startling theorem. Roughly put, what he proved was that if a mechanism for selecting social choice functions satisfies two standard adequacy conditions, there are possible situations in which it will violate either the very weak libertarian precept that every individual has at least some rights or the seemingly innocuous Paretian principle (...) that an option should be judged unacceptable if there is an available alternative that everyone prefers to it. Many economists and philosophers have proposed solutions to Sen's problem, but there is no general consensus on what solution is correct. In the present paper I argue that Sen's original theorem fails to establish the existence of any conflict between libertarianism and Paretianism. Furthermore, I contend that Sen has misinterpreted certain other theorems which he has used to defend the existence of a paradoxical conflict between these two doctrines. In general, I try to show that whenever Sen posits a Paretian-libertarian conflict to explain an apparently troubling result in social choice theory, the difficulty can be better dealt with either by claiming that the theorem in question imposes overly strong background constraints on the form of social choice functions or by claiming that it relies on an unacceptable construal of individual rights. (shrink)
The dominant approach to environmental policy endorsed by conservative and libertarian policy thinkers, so-called “free market environmentalism”, is grounded in the recognition and protection of property rights in environmental resources. Despite this normative commitment to property rights, most self-described FME advocates adopt a utilitarian, welfare-maximization approach to climate change policy, arguing that the costs of mitigation measures could outweigh the costs of climate change itself. Yet even if anthropogenic climate change is decidedly less than catastrophic, human-induced climate change is likely (...) to contribute to environmental changes that violate traditional conceptions of property rights. Viewed globally, the actions of some countries—primarily industrialized nations—are likely to increase environmental harms suffered by other countries—less developed nations that have not made any significant contribution to climate change. It may well be that aggregate human welfare would be maximized in a warmer, wealthier world, or that the gains from climate change will offset environmental losses. Yet such claims, even if demonstrated, would not address the normative concern that the consequences of anthropogenic global warming would infringe upon the rights of people in less-developed nations. As a consequence, this paper calls for a rethinking of FME approaches to climate change policy. (shrink)
Many explorationists think of surface waves as the most damaging noise in land seismic data. Thus, much effort is spent in designing geophone arrays and filtering methods that attenuate these noisy events. It is now becoming apparent that surface waves can be a valuable ally in characterizing the near-surface geology. This review aims to find out how the interpreter can exploit some of the many opportunities available in surface waves recorded in land seismic data. For example, the dispersion curves associated (...) with surface waves can be inverted to give the S-wave velocity tomogram, the common-offset gathers can reveal the presence of near-surface faults or velocity anomalies, and back-scattered surface waves can be migrated to detect the location of near-surface faults. However, the main limitation of surface waves is that they are typically sensitive to S-wave velocity variations no deeper than approximately half to one-third the dominant wavelength. For many exploration surveys, this limits the depth of investigation to be no deeper than approximately 0.5–1.0 km. (shrink)
In my Practical Reality I argued that the reasons for which we act are not to be conceived of as psychological states of ourselves, but as real states of the world. The main reason for saying this was that only thus can we make sense of the idea that it is possible to act for a good reason. The good reasons we have for doing this action rather than that one consist mainly of features of the situations in which we (...) find ourselves; they do not consist in our believing certain things about those situations. For instance, the reason for my helping that person is that she is in trouble and I am the only person around. It is not that I believe both that she is in trouble and that I am the only person around. Give that the reason to help is that she is in trouble etc., it must be possible for my reason for helping to be just that, if it is indeed possible for one to act for a good reason. In fact, this sort of thing must be the normal arrangement. The reasons why we act, therefore, that is, our reasons for doing what we do, are not standardly to be conceived as states of ourselves, but as features of our situations. (shrink)
Summary Descartes' two treatises of corpuscular-mechanical natural philosophy?Le Monde (1633) and the Principia philosophiae (1644/1647)?differ in many respects. Some historians of science have studied their significantly different theories of matter and elements. Others have routinely noted that the Principia cites much evidence regarding magnetism, sunspots, novae and variable stars which is absent from Le Monde. We argue that far from being unrelated or even opposed intellectual practices inside the Principles, Descartes' moves in matter and element theory and his adoption of (...) wide swathes of novel matters of fact, were two sides of the same coin?that coin being his strategies for improving the systematic power, scope and consistency of the natural philosophy presented in the Principia. We find that Descartes' systematising strategy centred upon weaving ranges of novel matters of fact into explanatory and descriptive narratives with cosmic sweep and radical realist Copernican intent. Gambits of this type have recently been labelled as ?cosmographical? (the natural philosophical relating of heavens and earth in contemporary usage). Realist Copernican natural philosophers, from Copernicus himself, through Bruno, Gilbert and Galileo did this to varying degrees; but, we suggest, Descartes presented in Books III and IV of the Principia the most elaborate and strategically planned version of it, underneath the ostensible textbook style of the work. (shrink)
It is folklore that if a continuous function on a complete metric space has approximate roots and in a uniform manner at most one root, then it actually has a root, which of course is uniquely determined. Also in Bishop's constructive mathematics with countable choice, the general setting of the present note, there is a simple method to validate this heuristic principle. The unique solution even becomes a continuous function in the parameters by a mild modification of the uniqueness hypothesis. (...) Moreover, Brouwer's fan theorem for decidable bars turns out to be equivalent to the statement that, for uniformly continuous functions on a compact metric space, the crucial uniform “at most one” condition follows from its non-uniform counterpart. This classification in the spirit of the constructive reverse mathematics, as propagated by Ishihara and others, sharpens an earlier result obtained jointly with Berger and Bridges. (shrink)
I continue my argument that Millian qualitative superiorities are infinite superiorities: one pleasant feeling, or type of pleasant feeling, is qualitatively superior to another in Mill's sense if and only if even a bit of the superior is more pleasant than any finite quantity of the inferior, however large. This gives rise to a hierarchy of higher and lower pleasures such that a reasonable hedonist always refuses to sacrifice a higher for a lower irrespective of the finite amounts of each. (...) Some indication of why this absolute refusal may be reasonable is provided in the course of outlining the content of the Millian hierarchy. It emerges that Mill's hedonistic utilitarianism has an extraordinary structure because it gives absolute priority over competing considerations to a code of justice that distributes equal rights and correlative duties for all. His utilitarianism also recognizes that certain aesthetic and spiritual pleasures may be qualitatively superior even to the pleasant feeling of security associated with the moral sentiment of justice. Thus, for instance, a noble individual may reasonably choose to waive his own rights so as to perform beautiful supererogatory actions that provide great benefits for others at the sacrifice of the right-holder's own vital interests. (shrink)
The most comprehensive collection of essays on Descartes' scientific writings ever published, this volume offers a detailed reassessment of Descartes' scientific work and its bearing on his philosophy. The 35 essays, written by some of the world's leading scholars, cover topics as diverse as optics, cosmology and medicine, and will be of vital interest to all historians of philosophy or science.
Presents an analysis of Jonathan Edwards' theological position. This book includes a study of his life and the intellectual issues in the America of his time, and examines the problem of free will in connection with Leibniz, Locke, and Hume.
Few stage plays have much to do with analytic philosophy: Tom Stoppard has written two of them— Rosencrantz and Guildenstern are Dead and Jumpers . The contrast between these, especially in how they involve philosophy, could hardly be greater. Rosencrantz does not parade its philosophical content; but the philosophy is there all the same, and it is solid, serious and functional. In contrast with this, the philosophy which is flaunted throughout Jumpers is thin and uninteresting, and it serves the play (...) only in a decorative and marginal way. Its main effect has been to induce timidity in reviewers who could not see the relevance to the play of the large stretches of academic philosophy which it contains. Since the relevance doesn't exist, the timidity was misplaced, and so the kid gloves need not have been used. Without doubting that I would have enjoyed the work as performed on the London stage, aided by the talent of Michael Hordern and the charm of Diana Rigg, I don't doubt either that Jumpers is a poor effort which doesn't deserve its current success. I shan't argue for that, however. I want only to explain why Jumpers is not a significantly philosophical play, before turning to the more important and congenial task of showing that Rosencrantz and Guildenstern are Dead is one. (shrink)
In this much-anticipated book, Jonathan Dancy offers the only available full-scale treatment of particularism in ethics, a view with which he has been associated for twenty years. Dancy now presents particularism as the view that the possibility of moral thought and judgement does not in any way depend on an adequate supply of principles. He grounds this claim on a form of reasons-holism, holding that what is a reason in one case need not be any reason in another, and (...) maintaining that moral reasons are no different in this respect from others. Ethics Without Principles offers detailed treatment and criticism of opposing positions of all sorts, with useful summaries. It also contains three chapters on the nature of what Dancy calls 'contributory' reasons, which, though the topic of much interest at the moment, are not often discussed in anything like the detail given here. And it offers a distinctive form of value-holism to go with the holism of reasons. As Dancy's definitive statement on particularism, the book will be required reading for all those working on moral philosophy and ethical theory. (shrink)
The topic of this article is the formal topology abstracted from the Zariski spectrum of a commutative ring. After recollecting the fundamental concepts of a basic open and a covering relation, we study some candidates for positivity. In particular, we present a coinductively generated positivity relation. We further show that, constructively, the formal Zariski topology cannot have enough points.
We investigate how nonstandard reals can be established constructively as arbitrary infinite sequences of rationals, following the classical approach due to Schmieden and Laugwitz. In particular, a total standard part map into Richman's generalised Dedekind reals is constructed without countable choice.
The law tends to think that there is no difficulty about identifying humans. When someone is born, her name is entered into a statutory register. She is ‘X’ in the eyes of the law. At some point, ‘X’ will die and her name will be recorded in another register. If anyone suggested that the second X was not the same as the first, the suggestion would be met with bewilderment. During X's lifetime, the civil law assumed that the X who (...) entered into a contract was the same person who breached it. The criminal law assumed that X, at the age of 80, was liable for criminal offences ‘she’ committed at the age of 18. This accords with the way we talk. ‘She's not herself today’, we say; or ‘When he killed his wife he wasn't in his right mind’. The intuition has high authority: ‘To thine own self be true’, urged Polonius.1 It sounds as if we believe in souls—immutable, core essences that constitute our real selves. Medicine conspires in the belief. If you become mentally ill, a psychiatrist will seek to get you back to your right mind. The Mental Capacity Act 1985 states that when a patient loses capacity the only lawful interventions will be interventions which are in that patient's best interests,2 and that in determining what those interests are the decision-maker must have …. (shrink)
Consider a circle and a pair of its semicircles. Which is prior, the whole or its parts? Are the semicircles dependent abstractions from their whole, or is the circle a derivative construction from its parts? Now in place of the circle consider the entire cosmos (the ultimate concrete whole), and in place of the pair of semicircles consider the myriad particles (the ultimate concrete parts). Which if either is ultimately prior, the one ultimate whole or its many ultimate parts?
On the now dominant Quinean view, metaphysics is about what there is. Metaphysics so conceived is concerned with such questions as whether properties exist, whether meanings exist, and whether numbers exist. I will argue for the revival of a more traditional Aristotelian view, on which metaphysics is about what grounds what. Metaphysics so revived does not bother asking whether properties, meanings, and numbers exist (of course they do!) The question is whether or not they are fundamental.
Epistemology has for a long time focused on the concept of knowledge and tried to answer questions such as whether knowledge is possible and how much of it there is. Often missing from this inquiry, however, is a discussion on the value of knowledge. In The Value of Knowledge and the Pursuit of Understanding Jonathan Kvanvig argues that epistemology properly conceived cannot ignore the question of the value of knowledge. He also questions one of the most fundamental assumptions in (...) epistemology, namely that knowledge is always more valuable than the value of its subparts. Taking Platos' Meno as a starting point of his discussion, Kvanvig tackles the different arguments about the value of knowledge and comes to the conclusion that knowledge is less valuable than generally assumed. Clearly written and well argued, this 2003 book will appeal to students and professionals in epistemology. (shrink)