Computability and Logic.George Boolos,JohnBurgess,Richard P. &C. Jeffrey -1980 - New York: Cambridge University Press. Edited by John P. Burgess & Richard C. Jeffrey.detailsComputability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel's incompleteness theorems, but also a large number of optional topics, from Turing's theory of computability to Ramsey's theorem. This 2007 fifth edition has been thoroughly revised by JohnBurgess. Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers (...) a simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems. This updated edition is also accompanied by a website as well as an instructor's manual. (shrink)
(3 other versions)Computability and Logic.George S. Boolos,John P.Burgess &Richard C. Jeffrey -1974 - Cambridge, England: Cambridge University Press. Edited by John P. Burgess & Richard C. Jeffrey.detailsThis fourth edition of one of the classic logic textbooks has been thoroughly revised by JohnBurgess. The aim is to increase the pedagogical value of the book for the core market of students of philosophy and for students of mathematics and computer science as well. This book has become a classic because of its accessibility to students without a mathematical background, and because it covers not simply the staple topics of an intermediate logic course such as Godel's Incompleteness (...) Theorems, but also a large number of optional topics from Turing's theory of computability to Ramsey's theorem. JohnBurgess has now enhanced the book by adding a selection of problems at the end of each chapter, and by reorganising and rewriting chapters to make them more independent of each other and thus to increase the range of options available to instructors as to what to cover and what to defer. (shrink)
Conceptual Engineering and Conceptual Ethics.AlexisBurgess,Herman Cappelen &David Plunkett (eds.) -2019 - New York, USA: Oxford University Press.detailsConceptual engineering and conceptual ethics are branches of philosophy concerned with questions about how to assess and ameliorate our representational devices (such as concepts and words). It's a part of philosophy concerned with questions about which concepts we should use (and why), how concepts can be improved, when concepts should be abandoned, and how proposals for amelioration can be implemented. Central parts of the history of philosophy have engaged with these issues, but the focus of this volume is on applications (...) to work in contemporary philosophy of language and mind, epistemology, gender and race theory, ethics, philosophy of science, and philosophical logic. This is the first volume devoted entirely to conceptual engineering and conceptual ethics. The volume explores the possibilities, benefits, problems, and applications of conceptual engineering and conceptual ethics. It consists of twenty chapters written by leading philosophers. (shrink)
Truth and the Absence of Fact.John P.Burgess -2002 -Philosophical Review 111 (4):602-604.detailsThis volume reprints a dozen of the author’s papers, most with substantial postscripts, and adds one new one. The bulk of the material is on topics in philosophy of language, but there are also two papers on philosophy of mathematics written after the appearance of the author’s collected papers on that subject, and one on epistemology. As to the substance of Field’s contributions, limitations of space preclude doing much more below than indicating the range of issues addressed, and the general (...) orientation taken towards them. As to the style of his writing, it well exhibits the first of the two virtues, clarity and conciseness, that one looks for in philosophical prose. (shrink)
The truth is never simple.John P.Burgess -1986 -Journal of Symbolic Logic 51 (3):663-681.detailsThe complexity of the set of truths of arithmetic is determined for various theories of truth deriving from Kripke and from Gupta and Herzberger.
What is Mathematical Rigor?JohnBurgess &Silvia De Toffoli -2022 -Aphex 25:1-17.detailsRigorous proof is supposed to guarantee that the premises invoked imply the conclusion reached, and the problem of rigor may be described as that of bringing together the perspectives of formal logic and mathematical practice on how this is to be achieved. This problem has recently raised a lot of discussion among philosophers of mathematics. We survey some possible solutions and argue that failure to understand its terms properly has led to misunderstandings in the literature.
The Cambridge Handbook of Ethics and Education.Sheron Fraser-Burgess,Jessica Heybach &Dini Metro-Roland (eds.) -2024 - Cambridge University Press.detailsThis Handbook provides an interdisciplinary discussion on the role and complexity of ethics in education. Its central aim is to democratise scholarship by highlighting diverse voices, ideas, and places. It is organised into three sections, each examining ethics from a different perspective: ethics and education historically; ethics within institutional practice, and emerging ethical frameworks in education. Important questions are raised and discussed, such as the role of past ethical traditions in contemporary education, how educators should confront ethical dilemma, how schools (...) should be organised to serve all children, and how pluralism, democracy, and technology impact ethics in education. It offers new insights and opportunities for renewal in the complex and often contentious task of ethics and education. (shrink)
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The unreal future.John P.Burgess -1978 -Theoria 44 (3):157-179.detailsPerhaps if the future existed, concretely and individually, as something that could be discerned by a better brain, the past would not be so seductive: its demands would he balanced by those of the future. Persons might then straddle the middle stretch of the seesaw when considering this or that object. It might be fun. But the future has no such reality (as the pictured past and the perceived present possess); the future is but a figure of speech, a specter (...) of thought. (shrink)
(1 other version)Quinus ab Omni Nævo Vindicatus.John P.Burgess -1997 -Canadian Journal of Philosophy 27 (sup1):25-65.detailsToday there appears to be a widespread impression that W. V. Quine's notorious critique of modal logic, based on certain ideas about reference, has been successfully answered. As one writer put it some years ago: “His objections have been dead for a while, even though they have not yet been completely buried.” What is supposed to have killed off the critique? Some would cite the development of a new ‘possible-worlds’ model theory for modal logics in the 1960s; others, the development (...) of new ‘direct’ theories of reference for names in the 1970s.These developments do suggest that Quine's unfriendliness towards any formal logics but the classical and indifference towards theories of reference for any singular terms but variables were unfortunate. (shrink)
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The sorites paradox and higher-order vagueness.J. A.Burgess -1990 -Synthese 85 (3):417-474.detailsOne thousand stones, suitably arranged, might form a heap. If we remove a single stone from a heap of stones we still have a heap; at no point will the removal of just one stone make sufficient difference to transform a heap into something which is not a heap. But, if this is so, we still have a heap, even when we have removed the last stone composing our original structure. So runs the Sorites paradox. Similar paradoxes can be constructed (...) with any predicate which, like 'heap', displays borderline vagueness. Although I have frequently heard it said that there is no completely credible and satisfying dissolution of the paradoxes of the Sorites family; and although there is no possible approach to dissolution which has not been at least partially explored, philosophers continue glibly to use vague language as though it were entirely unproblematic. Since no argument has ever been produced which would justify our ignoring the para~doxes, this situation is extremely unsatisfactory. (shrink)
Quine, analyticity and philosophy of mathematics.John P.Burgess -2004 -Philosophical Quarterly 54 (214):38–55.detailsQuine correctly argues that Carnap's distinction between internal and external questions rests on a distinction between analytic and synthetic, which Quine rejects. I argue that Quine needs something like Carnap's distinction to enable him to explain the obviousness of elementary mathematics, while at the same time continuing to maintain as he does that the ultimate ground for holding mathematics to be a body of truths lies in the contribution that mathematics makes to our overall scientific theory of the world. Quine's (...) arguments against the analytic/synthetic distinction, even if fully accepted, still leave room for a notion of pragmatic analyticity sufficient for the indicated purpose. (shrink)
Taking Egoism Seriously.KeithBurgess-Jackson -2013 -Ethical Theory and Moral Practice 16 (3):529-542.detailsThough utilitarianism is far from being universally accepted in the philosophical community, it is taken seriously and treated respectfully. Its critics do not dismiss it out of hand; they do not misrepresent it; they do not belittle or disparage its proponents. They allow the theory to be articulated, developed, and defended from criticism, even if they go on to reject the modified versions. Ethical egoism, a longstanding rival of utilitarianism, is treated very differently. It is said to be “refuted” by (...) arguments of a sort that apply equally well to utilitarianism. It is said to be “unprovable,” when many of the greatest utilitarians themselves, such as Jeremy Bentham (1748–1832), John Stuart Mill (1806–1873), and Henry Sidgwick (1838–1900), admitted that no normative ethical theory, including their own, is provable. Critics of ethical egoism seldom discuss the various theoretical moves that utilitarians are routinely allowed to make, such as (1) fighting the facts, (2) transforming the theory from “act utilitarianism” to “rule utilitarianism,” and (3) biting the bullet. This essay argues that every defensive move made by utilitarians can be made, with equal vigor (if not also plausibility), by ethical egoists. The conclusion is that ethical egoism deserves to be taken more seriously than it is. (shrink)
Rape and Persuasive Definition.KeithBurgess-Jackson -1995 -Canadian Journal of Philosophy 25 (3):415 - 454.detailsIf we [women] have not stopped rape, we have redefined it, we have faced it, and we have set up the structures to deal with it for ourselves.[T]he definition of rape, which has in the past always been understood to mean the use of violence or the threat of it to force sex upon an unwilling woman, is now being broadened to include a whole range of sexual relations that have never before in all of human experience been regarded as (...) rape.In 1989 the philosopher and self-described feminist Christina Sommers published a short essay — ‘an opinion piece,’ she called it — that was eventually developed into and published as a philosophical article. In this essay Sommers criticized ‘feminist philosophers’ for being ‘oddly unsympathetic to the women whom they claim to represent.’ Specifically, Sommers accused these philosophers of ignoring the ‘values of the average woman’ and of being caught up in an ‘ideological fervor.’ To emphasize her point that the so-called feminist philosophers have lost touch with ‘the average woman,’ Sommers wrote that ‘One must nevertheless expect that many women will continue to swoon at the sight of Rhett Butler carrying Scarlett O'Hara up the stairs to a fate undreamt of in feminist philosophy.’. (shrink)
The Hippocampal and Parietal Foundation of Spatial Cognition.N.Burgess (ed.) -1998 - Oxford University Press UK.detailsAs we move around in our environment, and interact with it, many of the most important problems we face involve the processing of spatial information. We have to be able to navigate by perceiving and remembering the locations and orientations of the objects around us relative to ourself; we have to sense and act upon these objects; and we need to move through space to position ourselves in favourable locations or to avoid dangerous ones. While this appears so simple that (...) we don't even think about it, the difficulty of solving these problems has been shown in the repeated failure of artificial systems to perform these kinds of tasks efficiently. In contrast, humans and other animals routinely overcome these problems every single day. This book examines some of the neural substrates and mechanisms that support these remarkable abilities. The hippocampus and the parietal cortex have been implicated in various core spatial behaviours, such as the ability to localise an object and navigate to it. Damage to these areas in humans and animals leads to impairment of these spatial functions. This collection of papers, written by internationally recognized experts in the field, reviews the evidence that each area is involved in spatial cognition, examines the mechanisms underlying the generation of spatial behaviours, and considers the relative roles of the parietal and hippocampal areas, including how each interacts with the other. The papers integrate a wide range of theoretical and experimental approaches, and touch on broader issues relating to memory and imagery. As such, this book represents the state of the art of current research into the neural basis of spatial cognition. It should be of interest to anyone - researchers or graduate students - working in the areas of cognitive neuroscience, neuroanatomy, neuropsychology, and cognition generally. (shrink)
The great slippery-slope argument.J. A.Burgess -1993 -Journal of Medical Ethics 19 (3):169-174.detailsWhenever some form of beneficent killing--for example, voluntary euthanasia--is advocated, the proposal is greeted with a flood of slippery-slope arguments warning of the dangers of a Nazi-style slide into genocide. This paper is an attempt systematically to evaluate arguments of this kind. Although there are slippery-slope arguments that are sound and convincing, typical formulations of the Nazi-invoking argument are found to be seriously deficient both in logical rigour and in the social history and psychology required as a scholarly underpinning. As (...) an antidote, an attempt is made both to identify some of the likely causes of genocide and to isolate some of the more modest but legitimate fears that lie behind slippery-slope arguments of this kind. (shrink)
The Things We Do with Identity.AlexisBurgess -2018 -Mind 127 (505):105-128.detailsCognitive partitions are useful. The notion of numerical identity helps us induce them. Consider, for instance, the role of identity in representing an equivalence relation like taking the same train. This expressive function of identity has been largely overlooked. Other possible functions of the concept have been over-emphasized. It is not clear that we use identity to represent individual objects or quantify over collections of them. Understanding what the concept is good for looks especially urgent in light of the fact (...) that numerical identities themselves are tangibly trifling. (shrink)
Probability logic.John P.Burgess -1969 -Journal of Symbolic Logic 34 (2):264-274.detailsIn this paper we introduce a system S5U, formed by adding to the modal system S5 a new connective U, Up being read “probably”. A few theorems are derived in S5U, and the system is provided with a decision procedure. Several decidable extensions of S5U are discussed, and probability logic is related to plurality quantification.
Rape: A Philosophical Investigation.KeithBurgess-Jackson -1996 - Dartmouth Publishing Company.detailsThis is the first book-length philosophical examination of rape, which has received ample attention from feminists, legal scholars and social scientists.
Putting structuralism in its place.John P.Burgess -unknowndetailsOne textbook may introduce the real numbers in Cantor’s way, and another in Dedekind’s, and the mathematical community as a whole will be completely indifferent to the choice between the two. This sort of phenomenon was famously called to the attention of philosophers by Paul Benacerraf. It will be argued that structuralism in philosophy of mathematics is a mistake, a generalization of Benacerraf’s observation in the wrong direction, resulting from philosophers’ preoccupation with ontology.
(1 other version)When did you first begin to feel it?John A.Burgess &S. A. Tawia -1996 -Locating the Beginnings of Human Consciousness? Bioethics 10 (1):1-26.detailsIn this paper we attempt to sharpen and to provide an answer to the question of when human beings first become conscious. Since it is relatively uncontentious that a capacity for raw sensation precedes and underpins all more sophisticated mental capacities, our question is tantamount to asking when human beings first have experiences with sensational content. Two interconnected features of our argument are crucial. First, we argue that experiences with sensational content are supervenient on facts about electrical activity in the (...) cerebral cortex which can be ascertained through EEG readings. Second, we isolate from other notions of a‘functioning brain’that which is required to underpin the view that a cortex is functioning in a way which could give rise to rudimentary conscious experiences. We investigate the development in the human fetus of the anatomical and chemical pathways which underpin cortical activity and the growth and maturation of the electrical circuitry specifically associated with sensational content in adult experience. We conclude that a fetus becomes conscious at about 30 to 35 weeks after conception; an answer based on a careful analysis of EEG readings at various stages of cortical development. Finally, we survey the possible ethical ramifications of our answer. (shrink)
When is circularity in definitions benign?J. A.Burgess -2007 -Philosophical Quarterly 58 (231):214–233.detailsI aim to show how and why some definitions can be benignly circular. According to Lloyd Humberstone, a definition that is analytically circular need not be inferentially circular and so might serve to illuminate the application-conditions for a concept. I begin by tidying up some problems with Humberstone's account. I then show that circular definitions of a kind commonly thought to be benign have inferentially circular truth-conditions and so are malign by Humberstone's test. But his test is too demanding. The (...) inferences we actually use to establish the applicability of, e.g., colour concepts are designed to establish warranted assertability and not truth. Understood thus, dispositional analyses are not inferentially circular. (shrink)
The medicalization of dying.Michael M.Burgess -1993 -Journal of Medicine and Philosophy 18 (3):269-279.detailsPhysician assisted suicide or active euthanasia is analyzed as a medicalization of the needs of persons who are suffering interminably. As with other medicalized responses to personal needs, the availability of active euthanasia will likely divert attention and resources from difficult social and personal aspects of the needs of dying and suffering persons, continuing the pattern of privatization of the costs of caregiving for persons who are candidates for active euthanasia, limiting the ability of caregivers to assist suffering persons to (...) make their continued suffering tolerable, and casting doubt on the voluntariness of the choice of active euthanasia. Keywords: caregivers, euthanasia, family, medicalization, voluntariness CiteULike Connotea Del.icio.us What's this? (shrink)
The newcomb problem: An unqualified resolution.SimonBurgess -2004 -Synthese 138 (2):261 - 287.detailsThe Newcomb problem is analysed here as a type of common cause problem. In relation to such problems, if you take the dominated option your expected outcome will be good and if you take the dominant option your expected outcome will be not so good. As is explained, however, these arenot conventional conditional expected outcomes but `conditional evidence expected outcomes' and while in the deliberation process, the evidence on which they are based is only hypothetical evidence.Conventional conditional expected outcomes are (...) more sensitive to your current epistemic state in that they are based purely on actual evidence which is available to you during the deliberation process. So although they are conditional on a certain act being performed, they are not based on evidence that you would have only if that act is performed. Moreover, for any given epistemic state during the deliberation process, your conventional conditional expected outcome for the dominant option will be better than that for the dominated option. The principle of dominance is thus in perfect harmony with the conventional conditional expected outcomes. In relation to the Newcomb problem then, the evidence unequivocally supports two-boxing as the rational option. Yet what is advanced here is not simply a two-boxing strategy. To see why, two stages to the problem need to be recognised. The first stage is that which occurs before the information used by the predictor in making his predictions has been gained. The second stage is after this point. Provided that you are still in the first stage, you have an opportunity to influence whether or not the predictor places the $1m in the opaque box. To maximise the probability that it is, you need to commit yourself to one-boxing. (shrink)
Vague Identity: Evans Misrepresented.J. A.Burgess -1989 -Analysis 49 (3):112 - 119.detailsIn 'Vague Identity: Evans Misunderstood' David Lewis defends Gareth Evans against a widespread misunderstanding of an argument that appeared in his article 'Can There be Vague Objects?'. Lewis takes himself to be 'defending Evans' and not just correcting a mistake; witness his remark that, 'As misunderstood, Evans is a pitiful figure: a "technical philosopher" out of control of his technicalities, taken in by a fallacious proof of an absurd conclusion'. Let me say at the outset that I take Lewis to (...) be exactly right in regarding as a misunderstanding the interpretation of Evans which he exposes as such. On Lewis's account, everything Evans says 'falls into place', and he quotes from a letter that 'settles the matter'. (shrink)
Towards a digital ethics: EDPS ethics advisory group.J. PeterBurgess,Luciano Floridi,Aurélie Pols &Jeroen van den Hoven -2018 -EDPS Ethics Advisory Group.detailsThe EDPS Ethics Advisory Group (EAG) has carried out its work against the backdrop of two significant social-political moments: a growing interest in ethical issues, both in the public and in the private spheres and the imminent entry into force of the General Data Protection Regulation (GDPR) in May 2018. For some, this may nourish a perception that the work of the EAG represents a challenge to data protection professionals, particularly to lawyers in the field, as well as to companies (...) struggling to adapt their processes and routines to the requirements of the GDPR. What is the purpose of a report on digital ethics, if the GDPR already provides all regulatory requirements to protect European citizens with regard to the processing of their personal data? Does the existence of this EAG mean that a new normative ethics of data protection will be expected to fill regulatory gaps in data protection law with more flexible, and thus less easily enforceable ethical rules? Does the work of the EAG signal a weakening of the foundation of legal doctrine, such as the rule of law, the theory of justice, or the fundamental values supporting human rights, and a strengthening of a more cultural approach to data protection? Not at all. The reflections of the EAG contained in this report are not intended as the continuation of policy by other means. It neither supersedes nor supplements the law or the work of legal practitioners. Its aims and means are different. On the one hand, the report seeks to map and analyse current and future paradigm shifts which are characterised by a general shift from analogue experience of human life to a digital one. On the other hand, and in light of this shift, it seeks to re-evaluate our understanding of the fundamental values most crucial to the well-being of people, those taken for granted in a data-driven society and those most at risk. The objective of this report is thus not to generate definitive answers, nor to articulate new norms for present and future digital societies but to identify and describe the most crucial questions for the urgent conversation to come. This requires a conversation between legislators and data protection experts, but also society at large - because the issues identified in this report concern us all, not only as citizens but also as individuals. They concern us in our daily lives, whether at home or at work and there isn’t a place we could travel to where they would cease to concern us as members of the human species. (shrink)
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Synthetic mechanics revisited.John P.Burgess -1991 -Journal of Philosophical Logic 20 (2):121 - 130.detailsEarlier results on eliminating numerical objects from physical theories are extended to results on eliminating geometrical objects.
Rethinking the presumption of atheism.KeithBurgess-Jackson -2018 -International Journal for Philosophy of Religion 84 (1):93-111.detailsIs there—or rather, ought there to be—a presumption of atheism, as Antony Flew so famously argued nearly half a century ago? It is time to revisit this issue. After clarifying the concept of a presumption of atheism, I take up the evaluative question of whether there ought to be a presumption of atheism, focusing on Flew’s arguments for an affirmative answer. I conclude that Flew’s arguments, one of which rests on an analogy with the presumption of innocence, fail.
Theorizing Backlash: Philosophical Reflections on the Resistance to Feminism.KeithBurgess-Jackson,Mark Owen Webb,Martha Chamallas,Cynthia Willett,Julie E. Maybee,Carol A. Moeller,Alisa L. Carse,Debra A. DeBruin &Linda A. Bell (eds.) -2002 - Rowman & Littlefield Publishers.detailsContrary to the popular belief that feminism has gained a foothold in the many disciplines of the academy, the essays collected in Theorizing Backlash argue that feminism is still actively resisted in mainstream academia. Contributors to this volume consider the professional, philosophical, and personal backlashes against feminist thought, and reflect upon their ramifications. The conclusion is that the disdain and irrational resentment of feminism, even in higher education, amounts to a backlash against progress.
Supervaluations and the propositional attitude constraint.J. A.Burgess -1997 -Journal of Philosophical Logic 26 (1):103-119.detailsFor the sentences of languages that contain operators that express the concepts of definiteness and indefiniteness, there is an unavoidable tension between a truth-theoretic semantics that delivers truth conditions for those sentences that capture their propositional contents and any model-theoretic semantics that has a story to tell about how indetifiniteness in a constituent affects the semantic value of sentences which imbed it. But semantic theories of both kinds play essential roles, so the tension needs to be resolved. I argue that (...) it is the truth theory which correctly characterises the notion of truth, per se. When we take into account the considerations required to bring model theory into harmony with truth theory, those considerations undermine the arguments standardly used to motivate supervaluational model theories designed to validate classical logic. But those considerations also show that celebration would be premature for advocates of the most frequently encountered rival approach - many-valued model theory. (shrink)
Revolutionary Bodies in Chuck Palahniuk's Fight Club.OliviaBurgess -2012 -Utopian Studies 23 (1):263-280.detailsWhat is potent and compelling about utopia has shifted, quite decisively, away from the social blueprint model and toward a more open-ended exploration of desire and change. Fight Club is a significant marker in the development of a utopianism that is dynamic and adaptive, existing in the present of history rather than in a vacuum of idealism. Building on theories of revolution proffered by Slavoj Žižek and Frederic Jameson, I argue that within the novel the body becomes a potential site (...) for exploring difference and creates both an alternative to and a critique of the distorted narrative of dominant society. Bodies that are marked, wounded, scarred, and beaten are bodies in the process of exploring alternatives to an oppressive social world where “completeness” trumps difference. Fight club allows men to fiercely embody revolution and desire and rejuvenate utopia with every punch. I distinguish between the dynamic and subversive nature of fight club and the militaristic and fascist system of Project Mayhem, which displays the values of traditional utopian thinking and as such fails to maintain the liberating and transgressive qualities of fight club. (shrink)
Women board directors: Characteristics of the few. [REVIEW]ZenaBurgess &Phyllis Tharenou -2002 -Journal of Business Ethics 37 (1):39 - 49.detailsAppointment as a director of a company board often represents the pinnacle of a management career. Worldwide, it has been noted that very few women are appointed to the boards of directors of companies. Blame for the low numbers of women of company boards can be partly attributed to the widely publicized "glass ceiling". However, the very low representation of women on company boards requires further examination. This article reviews the current state of women's representation on boards of directors and (...) summarizes the reasons as to why women are needed on company boards. Given that more women on boards are desirable, the article then describes how more women could be appointed to boards, and the actions that organizations and women could take to help increase the representation of women. Finally, the characteristics of those women that have succeeded in becoming members of company boards are described from an international perspective. Unfortunately, answers to the vexing question of whether these women have gained board directorships in their own right as extremely competent managers, or whether they are mere token female appointments in a traditional male dominated culture, remains elusive. (shrink)