Professor Sir Roger Penrose's work, spanning fifty years of science, with over five thousand pages and more than three hundred papers, has been collected together for the first time and arranged chronologically over six volumes, each with an introduction from the author. Where relevant, individual papers also come with specific introductions or notes. The first volume covers the beginnings of a career that is ground-breaking from the outset. Inspired by courses given by Dirac and Bondi, much of the early (...) published work involves linking general relativity with tensor systems. Among his early works is the seminal 1955 paper, 'A Generalized Inverse for Matrices', his previously unpublished PhD and St John's College Fellowship theses, and from 1967, his Adam's Prize-winning essay on the structure of space-time. Add to this his 1965 paper, 'Gravitational collapse and space-time singularities', and the 1967 paper that introduced a remarkable new theory, 'Twistor algebra', and this becomes a truly stellar procession of works on mathematics and cosmology. (shrink)
Professor Sir Roger Penrose's work, spanning fifty years of science, with over five thousand pages and more than three hundred papers, has been collected together for the first time and arranged chronologically over six volumes, each with an introduction from the author. Where relevant, individual papers also come with specific introductions or notes. Many important realizations concerning twistor theory occurred during the short period of this third volume, providing a new perspective on the way that mathematical features of the (...) complex geometry of twistor theory relate to actual physical fields. Following on from the nonlinear graviton construction, a twistor construction was found for (anti-)self-dual electromagnetism allowing the general (anti-)self-dual Yang-Mills field to be obtained. It became clear that some features of twistor contour integrals could be understood in terms of holomorphic sheaf cohomology. During this period, the Oxford research group founded the informal publication, Twistor Newsletter. This volume also contains the influential Weyl curvature hypothesis and new forms of Penrose tiles. (shrink)
Professor Sir Roger Penrose's work, spanning fifty years of science, with over five thousand pages and more than three hundred papers, has been collected together for the first time and arranged chronologically over six volumes, each with an introduction from the author. Where relevant, individual papers also come with specific introductions or notes. Among the new developments that occurred during this period was the introduction of a particular notion of 'quasi-local mass-momentum and angular momentum', the topic of Penrose's Royal (...) Society paper. Many encouraging results were initially obtained but, later, difficulties began to emerge and remain today. Also, an extensive paper (with Eastwood and Wells) gives a thorough account of the relation between twistor cohomology and massless fields. This volume witnesses Penrose's increasing conviction that the puzzling issue of quantum measurement could only be resolved by the appropriate unification of quantum mechanics with general relativity, where that union must involve an actual change in the rules of quantum mechanics as well as in space-time structure. Penrose's first incursions into a possible relation between consciousness and quantum state reduction are also covered here. (shrink)
Professor Sir Roger Penrose's work, spanning fifty years of science, with over five thousand pages and more than three hundred papers, has been collected together for the first time and arranged chronologically over six volumes, each with an introduction from the author. Where relevant, individual papers also come with specific introductions or notes. Developing ideas sketched in the first volume, twistor theory is now applied to genuine issues of physics, and there are the beginnings of twistor diagram theory (an (...) analogue of Feynman Diagrams). This collection includes joint papers with Stephen Hawking, and uncovers certain properties of black holes. The idea of cosmic censorship is also first proposed. Along completely different lines, the first methods of aperiodic tiling for the Euclidean plane that come to be known as Penrose tiles are described. This volume also contains Penrose's three prize-winning essays for the Gravity Foundation (two second places with both Ezra Newman and Steven Hawking, and a solo first place for 'The Non-linear graviton'). (shrink)
The Inexact and Separate Science of Economics represents the most ambitious attempt to provide a systematic account of economic methodology since the first edition of Blaug's The Methodology of Economics. As such, it has been the subject of extensive critical commentary. For all the attention it has received, however, some important aspects of the book's thesis have not been developed properly. Two important ones are what might be called, following the terminology used in the experimental economics literature, the ‘framing effect’ (...) of Hausman's definition of economics, and the significance of Hausman's claim that economists are committed to developing economics as a ‘separate’ science. To understand these points it is important to make explicit the position from which Hausman approaches the philosophy of science. (shrink)
Roger North's The Musicall Grammarian 1728 is a treatise on musical eloquence in all its branches. Of its five parts, I and II, on the orthoepy, orthography and syntax of music, constitute a grammar; III and IV, on the arts of invention and communication, form a rhetoric; and V, on etymology, consists of a history. Two substantial chapters of commentary introduce the text, which is edited here for the first time in its entirety: Jamie Kassler places his treatise within (...) the broader context not only of North's musical and non-musical writings but also their relation to the intellectual ferment of the seventeenth and eighteenth centuries and Mary Chan describes physical and textual aspects of the treatise as evidence for North's processes of thinking about musical thinking. (shrink)
Professor Sir Roger Penrose is one of the truly original thinkers of our time. He has made several remarkable contributions to science, from quantum physics and theories of human consciousness to relativity theory and observations on the structure of the universe. Unusually for a scientist, some of his ideas have crossed over into the public arena. Now his work, spanning fifty years of science, with over five thousand pages and more than three hundred papers, has been collected together for (...) the first time and arranged chronologically over six volumes, each with an introduction from the author. Where relevant, individual papers also come with specific introductions or notes. (shrink)
Professor Sir Roger Penrose's work, spanning fifty years of science, with over five thousand pages and more than three hundred papers, has been collected together for the first time and arranged chronologically over six volumes, each with an introduction from the author. Where relevant, individual papers also come with specific introductions or notes. Publication of The Emperor's New Mind (OUP 1989) had caused considerable debate and Penrose's responses are included in this volume. Arising from this came the idea that (...) large-scale quantum coherence might exist within the conscious brain, and actual conscious experience would be associated with a reduction of the quantum state. Within this collection, Penrose also proposes that a twistor might usefully be regarded as a source (or 'charge') for a massless field of spin 3/2, suggesting that the twistor space for a Ricci-flat space-time might actually be the space of such possible sources. Towards the end of the volume, Penrose begins to develop a quite different approach to incorporating full general relativity into twistor theory. This period also sees the origin of the Diósi-Penrose proposal. (shrink)
Professor Sir Roger Penrose's work, spanning fifty years of science, with over five thousand pages and more than three hundred papers, has been collected together for the first time and arranged chronologically over six volumes, each with an introduction from the author. Where relevant, individual papers also come with specific introductions or notes. This sixth volume describes an actual experiment to measure the length of time that a quantum superposition might last (developing the Diósi-Penrose proposal). It also discusses the (...) significant progress made in relation to incorporating the 'googly' information for a gravitational field into the structure of a curved twistor space. Penrose also covers such things as the geometry of light rays in relation to twistor-space structures, the utility of complex numbers in drawing three-dimensional shapes, and the geometrical representation of different types of musical scales. The turn of the millennium was also an opportunity to reflect on progress in many areas up until that point. (shrink)
In Reasons and the Good Roger Crisp answers some of the oldest questions in moral philosophy. Fundamental to ethics, he claims, is the idea of ultimate reasons for action; and he argues controversially that these reasons do not depend on moral concepts. He investigates the nature of reasons themselves, and how we come to know them. He defends a hedonistic theory of well-being and an account of practical reason according to which we can give some, though not overriding, priority (...) to our own good over that of others. (shrink)
There is a certain attitude which makes freedom the main business of political thought and civil liberty the aim of government. I shall use the word ‘liberalism’ to refer to this attitude, in the hope that established usage will condone my description. And I shall explore and criticize two aspects of liberal thought: first, the concept of freedom in which it is based; secondly, the attack upon what Mill called the ‘despotism of custom’. My conclusions will be tentative; but I (...) should like to suggest that, properly understood, freedom and custom may require each other. Moreover to describe them as opposites is to make it impossible to see how either could be valued by a rational being, or why any politician should concern himself with their support or propagation. (shrink)
Human beings talk and co-operate, they build and produce, they work to accumulate and exchange, they form societies, laws and institutions, and, in all these things the phenomenon of reason—as a distinct principle of activity—seems dominant. There are indeed theories of the human which describe this or that activity as central—speech, say, productive labour, or political existence. But we feel that the persuasiveness of such theories depends upon whether the activity in question is an expression of the deeper essence, reason (...) itself, which all human behaviour displays. (shrink)
Speaking is so closely associated with making noises that such descriptions as ‘silent soliloquy’ and ‘soundless monologue’ have an air of paradox. Yet people frequently say things to themselves in such a way that not even a close observer has any reason to think they have done so. It is therefore tempting to suppose that on such occasions a sequence of surrogate speech sounds is produced in the person's head which he alone hears or introaudits, as if what distinguishes silent (...) inner speech from normal speech is that the word substitutes are conveniently hidden from all save their producer. (shrink)
The categories of reason and faith are often contrasted. When reason gives out, we are told that we have to rely on faith. Such exhortations are made particularly in the context of religion. When for instance, we face some personal tragedy which may well seem inexplicable, we are told that faith can help us through it. Very often faith is referred to in a vacuum. Presumably faith in God is usually meant, but all too often God drops out of the (...) picture, and it seems that all we need is faith, not faith in anything or anyone, but just faith. We are thus encouraged to add what seems to be a magic ingredient to our lives, which can transform everything. Perhaps at the back of such thinking lies some Calvinist notion of the corrupt character of human reason. As a result it may seem that we cannot rely on our judgment, which is the product of the fallen and sinful nature of humanity. Instead we must depend on ‘faith’ which may, or may not, be given us by the grace of God. (shrink)
What is music, what is its value, and what does it mean? In this stimulating volume, Roger Scruton offers a comprehensive account of the nature and significance of music from the perspective of modern philosophy. The study begins with the metaphysics of sound. Scruton distinguishes sound from tone; analyzes rhythm, melody, and harmony; and explores the various dimensions of musical organization and musical meaning. Taking on various fashionable theories in the philosophy and theory of music, he presents a compelling (...) case for the moral significance of music, its place in our culture, and the need for taste and discrimination in performing and listening to it. Laying down principles for musical analysis and criticism, this bold work concludes with a theory of culture--and a devastating demolition of modern popular music. "A provocative new study."--The Guardian. (shrink)
A rational person doesn’t believe just anything. There are limits on what it is rational to believe. How wide are these limits? That’s the main question that interests me here. But a secondary question immediately arises: What factors impose these limits? A first stab is to say that one’s evidence determines what it is epistemically permissible for one to believe. Many will claim that there are further, non-evidentiary factors relevant to the epistemic rationality of belief. I will be ignoring the (...) details of alternative answers in order to focus on the question of what kind of rational constraints one’s evidence puts on belief. Our main question concerns how far epistemic permission and obligation can come apart.1 Suppose I am epistemically permitted to believe P, i.e., it would not be irrational for me to believe it. Am I thereby obliged to believe P, or are other options rationally available to me?2 Might I be equally rational in remaining agnostic about P, or even believing not-P? Or could even a slightly stronger or weaker degree of confidence be just as reasonable? (shrink)
In his bestselling work of popular science, Sir Roger Penrose takes us on a fascinating roller-coaster ride through the basic principles of physics, cosmology, mathematics, and philosophy to show that human thinking can never be emulated by a machine.
Precursors. 2.1 Introduction Thus far I have presented an approach to the semantics of plurals in the form of two rather similar grammars for a fragment of English. And I have given a few examples of the kinds of things one can say within this ...
I believe that Tom is the proud father of a baby boy. Why do I think his child is a boy? A natural answer might be that I remember that his name is ‘Owen’ which is usually a boy’s name. Here I’ve given information that might be part of a causal explanation of my believing that Tom’s baby is a boy. I do have such a memory and it is largely what sustains my conviction. But I haven’t given you just (...) any causally relevant information, I’ve given my grounds for my belief. I’ve given reasons that might justify me in supposing that Tom’s baby is a boy. Less naturally, the question might be taken as a request for a broader causal explanation of my holding this belief. Appropriate answers might cite all manner of facts concerning the evolution of the human race, why I chose to pursue philosophy and hence came to know Tom, the mechanisms of email transmission, the firing of various neurons, the circumstances of concept formation as a result of which I’m able to grasp the thought that Tom’s baby is a boy, and so on. It is an interesting question what distinguishes the narrower set of answers that I first suggested. I won’t pursue that here. I assume you have a good enough sense of the distinction I’m drawing. We might call the narrower set of answers justifying reasons, the kind of reasons I might cite in justifying my belief. Answers of the first sort are clearly relevant to epistemological evaluation. In assessing whether you know p or are rational in believing it to the degree you do, I will naturally want to consider what reasons you have for your belief. In deliberating myself about whether to believe p, in seeking an answer to the question of whether p, I will naturally consider what reasons or grounds I have to suppose that p. But what I want to focus on here is how explanations of the broader sort bear on such questions as whether to believe p. From a third-person perspective we can ask, ‘In assessing the epistemic status of S’s belief that p, what is the relevance of causal information that lies outside of the realm of justifying reasons?’ From the first-person standpoint we can ask ‘In seeking to answer whether p, how should such causal information affect my deliberations?’ At first it might seem that such broader causal information could have little relevance if any. Like any belief my belief that p can be traced back to innumerable causes from far and wide.. (shrink)
the symmetry of our evidential situation. If our confidence is best modeled by a standard probability function this means that we are to distribute our subjective probability or credence sharply and evenly over possibilities among which our evidence does not discriminate. Once thought to be the central principle of probabilistic reasoning by great..
It seems odd to say that photography is not a mode of representation. For a photograph has in common with a painting the property by which the painting represents the world, the property of sharing, in some sense, the appearance of its subject. Indeed, it is sometimes thought that since a photograph more effectively shares the appearance of its subject than a typical painting, photography is a better mode of representation. Photography might even be thought of as having replaced painting (...) as a mode of visual representation. Painters have felt that if the aim of painting is really to reproduce the appearances of things, then painting must give way to whatever means are available to reproduce an appearance more accurately. It has therefore been said that painting aims to record the appearances of things only so as to capture the experience of observing them and that the accurate copying of appearances will normally be at variance with this aim. Here we have the seeds of expressionism and the origin of the view that painting is somehow purer when it is abstract and closer to its essence as an art. Roger Scruton is the author of Art and Imagination, The Aesthetics of Architecture, The Meaning of Conservatism, From Descartes to Wittgenstein, and The Politics of Culture and Other Essays. (shrink)
Legal theory for the purposes of this essay is the theory of mundane law—that is, our law. The legal system of a modern Western democracy is the phenomenon legal theory is trying to represent perspicuously. Such a legal system may be characterized prephilosophically as an institutionalized normative system. The associated institutions include legislatures, courts, police forces, civil services, royal families, and the like. The associated norms are of three kinds—norms directly enjoining, permitting or proscribing behaviour on the part of the (...) norm-subjectss; norms for facilitating the creation of social arrangements between norm-subjects; norms for the creation, variation, administration, application and enforcement of norms of the first two kinds. (shrink)
The remarks that critics make about works of art are various in character. Some of them are strictly interpretative—for instance, The Lord of the Rings may be claimed to be an allegorical representation of the Gospel Story; the slow movement of a symphony may be said to express a period of calm after a revolution; a painting may be said to depict the horrors of war. Some may be biographical—that the play was written in 1654, that the poem was written (...) while the poet was in love, that the sculpture was commissioned by the Canada Council. Some may be autobiographical—that the 7th has always been one's favourite Beethoven symphony, that one identifies with Joe in Room at the Top , that Medea was the first tragedy one saw performed in the original Greek. Some are ‘descriptive’ in the philosopher's sense, ‘matters of fact’—that the narrator is a senior civil servant, that the painting is all in pastel colours, that the conductor has not played all the repetitions. Some invoke formal structural principles—that the doors are in classical proportions, that the work's catastrophe is deferred to the finale, that the poem is in iambic pentameters. Some are concerned with the exposition of technique—that the spaciousness is suggested by the use of open fifths, that speed is portrayed by making the moving object sharper than anything else in the picture, that the effect of a sculpture is achieved by the use of metallurgically distinct materials. I wish to concentrate on a type of remark found frequently in art criticism, which defies reduction to any of the kinds mentioned above. The following are typical instances: That picture will not, at the first glance, deceive as a piece of actual sunlight; but this is because there is more in it than the sunlight, because under the glazing veil of vaulted fire which lights the vessel on her last path, there is a blue deep, desolate hollow of darkness, out of which you can hear the voice of the night wind, and the dull boom of the disturbed sea; because the cold deadly shadows of twilight are gathering through every sunbeam, and moment by moment as you look, you will fancy some new film and faintness of the night has risen over the vastness of the departing form. (shrink)
What is the relation of the biological to the social sciences? Fierce battles are being currently fought over this question and much hangs on the answer. If society is taken as an irreducible category which can only be understood in its own terms, the social sciences can feel safe from the sinister designs of other disciplines. Yet it is a commonplace that cultures vary, and we humans are prone to look at the differences rather than the similarities between them. The (...) result can be a thoroughgoing relativism. If culture cannot be understood by means of any non-cultural categories, cultural differences themselves can be accepted as the ultimate truth about man. When everything is cultural, even the notion of a non-cultural category can seem to be a ludicrous contradiction in terms. The categories with which we think are the product of our culture, or so we are told. Instead of our being able to understand culture in terms of anything beyond itself, our understanding appears totally moulded by the society to which we belong. Any theory can thus be seen as merely the expression of the beliefs of a particular society. (shrink)
One of the most important philosophers of recent times, Elizabeth Anscombe wrote books and articles on a wide range of topics, including the ground-breaking monograph Intention. Her work is original, challenging, often difficult, always insightful; but it has frequently been misunderstood, and its overall significance is still not fully appreciated. This book is the first major study of Anscombe's philosophical oeuvre. In it, Roger Teichmann presents Anscombe's main ideas, bringing out their interconnections, elaborating and discussing their implications, pointing out (...) objections and difficulties, and aiming to give a unified overview of her philosophy. Many of Anscombe's arguments are relevant to contemporary debates, as Teichmann shows, and on a number of topics what Anscombe has to say constitutes a powerful alternative to dominant or popular views. Among the writings discussed are Intention, "Practical Inference," "Modern Moral Philosophy," "Rules, Rights and Promises," "On Brute Facts," "The First Person," "The Intentionality of Sensation," "Causality and Determination," An Introduction to Wittgenstein's Tractatus, "The Question of Linguistic Idealism," and a number of other pieces, including some that are little known or hard to obtain. A complete bibliography of Anscombe's writings is also included. Ranging from the philosophy of action, through ethics, to philosophy of mind, metaphysics, and the philosophy of logic and language, this book is a study of one of the most significant bodies of work in modern philosophy, spanning more than fifty years, and as pertinent today as ever. (shrink)
I treat you as a thermometer when I use your belief states as more or less reliable indicators of the facts. Should I treat myself in a parallel way? Should I think of the outputs of my faculties and yours as like the readings of two thermometers the way a third party would? I explore some of the difficulties in answering these questions. If I am to treat myself as well as others as thermometers in this way, it would appear (...) that I cannot reasonably trust my own convictions over yours unless I have antecedent reason to suppose that I am more likely than you to get things right. I appeal to some probabilistic considerations to suggest that our predicament as thermometers might not actually be as bad as it seems. (shrink)
ports the thesis that there exist very many universes. The view has found favor with a number of philosophers such as Derek Parfit ~1998!, J. J. C. Smart ~1989! and Peter van Inwagen ~1993!.1 My purpose is to argue that this is a mistake. First let me set out the issue in more detail.
In this paper, Roger Crisp offers an account of Hume’s theory of virtue. Crisp claims that the central place of virtue in Hume’s ethics gives Hume an extremely sophisticated position that virtue ethics cannot afford to ignore. In particular, he argues that though Hume’s position may ultimately be described as motive utilitarian, it is both an extremely sophisticated form of motive utilitarianism, and one which may remove the very possibility of non-utilitarian virtue ethics.
Composed more than 2,000 years ago during a turbulent period of Chinese history, the Dao de jing set forth an alternative vision of reality in a world torn apart by violence and betrayal. Daoism, as this subtle but enduring philosophy came to be known, offers a comprehensive view of experience grounded in a full understanding of the wonders hidden in the ordinary. Now in this luminous new translation, based on the recently discovered ancient bamboo scrolls, China scholars Roger T. (...) Ames and David L. Hall bring the timeless wisdom of the Dao de jing into our contemporary world. Though attributed to Laozi, “the Old Master,” the Dao de jing is, in fact, of unknown authorship and may well have originated in an oral tradition four hundred years before the time of Christ. Eschewing philosophical dogma, the Dao de jing set forth a series of maxims that outlined a new perspective on reality and invited readers to embark on a regimen of self-cultivation. In the Daoist world view, each particular element in our experience sends out an endless series of ripples throughout the cosmos. The unstated goal of the Dao de jing is self-transformation–the attainment of personal excellence that flows from the world and back into it. Responding to the teachings of Confucius, the Dao de jing revitalizes moral behavior by recommending a spontaneity made possible by the cultivated “habits” of the individual. In this elegant volume, Ames and Hall feature the original Chinese texts of the Dao de jing and translate them into crisp, chiseled English that reads like poetry. Each of the eighty-one brief chapters is followed by clear, thought-provoking commentary exploring the layers of meaning in the text. The book’s extensive introduction is a model of accessible scholarship in which Ames and Hall consider the origin of the text, place the emergence of Daoist philosophy in its historical and political context, and outline its central tenets. The Dao de jing is a work of timeless wisdom and beauty, as vital today as it was in ancient China. This new version will stand as both a compelling introduction to the complexities of Daoist thought and as the classic modern English translation. (shrink)
In a recent book devoted to giving an overview of cognitive science, Justin Lieber writes: …dazzingly complex computational processes achieve our visual and linguistic understanding, but apart from a few levels of representation these are as little open to our conscious view as the multitudinous rhythm of blood flow through the countless vessels of our brain. It is the aim of hundreds of workers in the allied fields of Cognitive Science and Artificial Intelligence to unmask these computation processes and install (...) them in digital computers. (shrink)
He who has seen everything empty itself is close to knowing what everything is filled with. Emptiness is probably the most important philosophical and religious concept of Mahayana Buddhism. Its precise meaning has been explained differently by different schools and in different Buddhist cultures, but almost all Mahāyāna Buddhists would agree with the following characterization: Philosophically , emptiness is the term that describes the ultimate mode of existence of all phenomena, namely, as naturally ‘empty’ of enduring substance, or self-existence : (...) rather than being independently self-originated, phenomena are dependently originated from causes and conditions. Emptiness, thus, explains how it is that phenomena change and interact as they do, how it is that the world goes on as it does. Religiously , emptiness is the single principle whose direct comprehension is the basis of liberation from samsāra, and ignorance of which, embodied in self-gasping is the basis of continued rebirth – hence suffering – in samsāra. (shrink)