Vesalius wrote nothing about the aesthetics of the anatomical illustrations found in his De humani corporis fabrica (1543). There are, however, two passages in this work that offer a starting point for an investigation into the illustration’s idealised style. In discussing the body that is best for a public dissection Vesalius says that it must be one that resembles the ‘Canon of Polycleitus’, and later, he refers to his pursuit of the historia absoluti hominis or historia of the perfect man. (...) These two passage lie at the heart of a solution to questions concerning the style of Vesalius’s illustrations. -/- This thesis seeks to investigate the role that visual material (art) played in determining the visual character of Vesalius’s natural philosophical illustrations. In antiquity art and nature were generally thought to be opposed. This distinction was undermined in the sixteenth century as images came to play a role in acquiring and conveying knowledge about the natural world. The role that art played in determining the visual character of Vesalius’s illustrations, I argue, constitutes another facet of the undermining of the ancient opposition between art and nature that occurred in the sixteenth century. The relationship between art and nature forms the basis of my investigation into the style of Vesalius’s illustrations. -/- I examine three separate but interrelated avenues which, I suggest, played a role in determining the style of the Fabrica illustrations. The first derives from the history of natural philosophy and medicine. I suggest that the concepts art, nature, teleology, form and beauty as they are found in Plato’s Timaeus, and Marsilio Ficino’s sixteenth­century commentary on that work, provide an epistemology and account of the body that is also found in Galen’s On the Usefulness of the Parts of the Body, and subsequently reflected in both the text and illustrations of the Fabrica. This epistemological underpinning is entirely in keeping with the method of proportional representation of the body and associated aesthetic advocated in Polycleitus’s Canon. -/- The second avenue concerns the role that both ancient and Renaissance artworks played in determining the style of the Fabrica illustrations. While the illustrations embody the ideal and typical form advocated in the Canon they also embellish this, and contain stylistic features derived from Hellenistic sculpture and found in High Renaissance art. I argue for specific parallels between Hellenistic sculpture, Michelangelo’s nudes in his Sistine Chapel frescos and Vesalius’s illustrations. -/- Thirdly, I consider Renaissance artwriting and aesthetics as a source for understanding the idealised style of the Vesalian illustrations. In particular I examine Leon Battista Alberti’s tabulation of the ideal man and his aesthetic principle concinnitas. This offers a Renaissance account of beauty and the ideal that is analogous to the Canon of Polycleitus, is central to an understanding of Italian Renaissance art and aesthetics, and has a particular application to Vesalius’s illustrations and their teleological underpinnings. I suggest that contrapposto as the expression of antithesis in art offers a theoretic parallel for the augmentation of the austere classical style found in Vesalius’s own use of contrapposto and his interest in musculature and movement. -/- Throughout, this thesis is concerned with relationships between visual materials. I elaborate on this theme through an investigation of the influence that Vesalius’s illustrations had on a selection of anatomical illustrations that came in its wake. I construe the relationships that obtain between these illustrations as analogous to those which occur in what are termed art historical ‘movements’. (shrink)

In this paper, we identify the way in which various forms of legal personhood can be differentiated from one another by comparing these entities with a—not too farfetched—hypothetical situation in which intelligence spontaneously evolves within the internet: spontaneous intelligence. In these terms, we consider the challenges that may arise where SI as an entity: has no owner, no designer, and no controller; has evolved into existence as a non-human created intelligence; is autonomous; has no physical form; and, although it exists (...) around the world, exists in no particular jurisdiction. Based on this refined notion of SI, we consider issues related to the recognition of such an entity’s legal personhood. By briefly exploring the attribution of legal personality to various entities—including, humans, corporations, artificial intelligence and higher forms of animal life—we differentiate SI from these other forms of intelligence whilst illustrating it shares most characteristics with human intelligence and not, as may intuitively be thought, with various forms of AI. After critically evaluating the classification of these various forms of intelligence, we briefly suggest some ramifications of these differences and suggest that the approach adopted may assist in drawing more effective boundaries between the entities that are already recognised as legal persons, as well as between sub-categories of entities, such as various forms of AI. (shrink)

Biobanks are increasingly being created specifically for research purposes. Concomitantly, we are seeing significant and evolving shifts in research ethics in relation to biobanking. Three discrete shifts are identified in this article. The first extends the ethical focus beyond the protection of human subjects to the promotion of broader community benefits of research utilizing biobanked resources, and an expectation that these benefits will be shared. The second involves the evolution of the traditional consent paradigm for future research uses of biobanks (...) resources that are not in contemplation at the time of donation. The third involves a move away from single project management to more dynamic governance accountability to research participants and the public. These shifts may take different local and institutional forms but share common recognizable elements. (shrink)

This 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 complexity of the set of truths of arithmetic is determined for various theories of truth deriving from Kripke and from Gupta and Herzberger.

Background: The law and literature about children’s consent generally assume that patients aged under-18 cannot consent until around 12 years, and cannot refuse recommended surgery. Children deemed pre-competent do not have automatic rights to information or to protection from unwanted interventions. However, the observed practitioners tend to inform young children s, respect their consent or refusal, and help them to “want” to have the surgery. Refusal of heart transplantation by 6-year-olds is accepted. Research question: What are possible reasons to explain (...) the differences between theories and practices about the ages when children begin to be informed about elective heart surgery, and when their consent or refusal begins to be respected? Research design, participants and context: Research methods included reviews of related healthcare, law and ethics literature; observations and conversations with staff and families in two London hospitals; audio-recorded semi-structured interviews with a purposive sample of 45 healthcare professionals and related experts; interviews and a survey with parents and children aged 6- to 15-years having elective surgery (not reported in this paper); meetings with an interdisciplinary advisory group; thematic analysis of qualitative data and co-authorship of papers with participants. Ethical considerations: Approval was granted by four research ethics committees/authorities. All interviewees gave their informed written consent. Findings: Interviewees explained their views and experiences about children’s ages of competence to understand and consent or refuse, analysed by their differing emphases on informed, signified or voluntary consent. Discussion: Differing views about children’s competence to understand and consent are associated with emphases on consent as an intellectual, practical and/or emotional process. Conclusion: Greater respect for children’s practical signified, emotional voluntary and intellectual informed consent can increase respectful understanding of children’s consent. Nurses play a vital part in children's practitioner-patient relationships and physical care and therefore in all three elements of consent. (shrink)

Perhaps 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)

One 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 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)

Though 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)

If 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)

Suppose our ordinary notion of truth is ‘inconsistent’ in the sense that its meaning is partly given by principles that classically entail a logical contradiction. Should we replace the notion with a consistent surrogate? This paper begins by defusing various arguments in favor of this revisionary proposal, including Kevin Scharp’s contention that we need to replace truth for the purposes of semantic theorizing . Borrowing a certain conservative metasemantic principle from Matti Eklund, the article goes on to build a positive (...) case for the opposite policy: retaining truth as-is. The thought is basically that bivalence for the bulk of what we say in the course of ordinary, scientific, and philosophical inquiry should suffice to justify keeping ‘true’. Two versions of the story are told: one more philosophical, drawing on an analogy to Lewis’ response to Putnam’s paradox; the other more technical, invoking a deviant stran.. (shrink)

Whenever 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)

There are three general ways to approach reconciliation: from the side of nonfactualism, from the side of deflationism, or from both sides at once. To approach reconciliation from a given side, as I will use the expression, just means to attend in the first instance to the details of that side’s position. (It will be important to keep in mind that the success of an approach from one side may ultimately require concessions from the other side.) The only attempts at (...) reconciliation in the literature of which I am aware fall in to the first of these three categories. Such writers argue that the tension between our –isms can be resolved by paying sufficiently close attention to the nature of nonfactualism. While I have nothing against this approach in principle, I do have reservations about the particular proposals that have been made in its pursuit. The first section of the present paper briefly develops a line of objection against one such proposal, in order to motivate the approach to reconciliation from the side of deflationism. In section two, I argue that the deflationist can and should reject the inference from (2) to (3) above. Section three addresses a special problem of reconciliation for the nonfactu- alist who continues to use the discourse she takes to be factually defective. By paying close attention to the details of deflationism about reference, I show how a deflationist about truth might avoid this problem. I conclude that deflationism can be developed in a way that renders it compatible with nonfactualism. (shrink)

The argument from potential has been hard to assess because the versions presented by friends and those presented by enemies have born very little resemblance to each other. I here try to improve this situation by attempting to bring both versions into enforced contact. To this end, I sketch a more detailed analysis of the modern concept of potential than any hitherto attempted. As one would expect, arguments from potential couched in terms of that notion are evident non-starters. I then (...) ask how the modern notion of potential needs to be supplemented in order to produce a more convincing argument. I then enquire whether the supplementations utilised in the most distinguished recent presentations of the argument have anything better than an ad hoc role to play in contemporary metaphysics. I conclude that the rehabilitation of the argument is unlikely; in any event, the onus of proof seems to be on the friend of that argument to show that it is uncontrived. Finally, I argue that the (modern) notion of potential has an important role to play in any plausible account of foetal value. (shrink)

Organ procurement organization (OPO) staff play an essential role in the facilitation of organ donation as they guide family members and loved ones of dying patients through the donation process. Throughout the donation process, OPO staff must assume the role of a dual advocate, considering both the interests of the donor (which often include the wishes of the donor’s family) and the interests of potential recipient(s). The benefits of this role are well established; however, minimal literature exists on the ways (...) this role can cause moral distress in OPO staff, who frequently face scenarios in which adhering to the wishes of a donor family may compromise donation potential but failing to honor donor family requests may result in further emotional burden for the family. Given the frequency with which these ethically complex situations exist during donation, OPO staff are at heightened risk for experiencing moral distress and burnout, yet they are seldom acknowledged in the existing moral distress literature. As a result, it is unclear whether the current practices available to mitigate moral distress are beneficial for this population. (shrink)

Genome Canada has funded a research project to evaluate the usefulness of different forms of ethical analysis for assessing the moral weight of public opinion in the governance of genomics. This paper will describe a role of public consultation for ethical analysis and a contribution of ethical analysis to public consultation and the governance of genomics/biotechnology. Public consultation increases the robustness of ethical analysis with a more diverse and rich accounts experiences. Consultation must be carefully and respectfully designed to generate (...) sufficiently diverse and rich accounts of moral experiences. Since dominant groupstend to define ethical or policy issues in a manner that excludes some interests or perspectives, it is important to identify the range of interests that diverse publics hold before defining the issue and scope of a consultation. Similarly, a heavy policy focus and pressures to commercialize products risk oversimplification of the discussion and the premature foreclosure of ethical dialogue. Consequently, a significant contribution of ethical dialogue strengthened by social analysis is to consider the context and non-policy use of power to govern genomics and to sustain social debate on enduring ethical issues. (shrink)

In 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.

In 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)

In 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)

One 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.

I 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)

A revision of a sermon on the evils of calling model theory “semantics”, preached at Notre Dame on Saint Patrick’s Day, 2005. Provisional version: references remain to be added. To appear in Mathematics, Modality, and Models: Selected Philosophical Papers, coming from Cambridge University Press.

Reporting peers’ counterproductive work behaviors (CWBs) is important for maintaining an ethical organization, but is a significant and potentially risky action. In Bandura’s Theory of Moral Thought and Action (Bandura, 1991) he states that such acts require significant moral agency, which is generated when an individual possesses adequate moral self-regulatory capacities to address the issue and is in a context that activates and reinforces those capacities. Guided by this theory, we assess moral potency (i.e., moral courage, moral efficacy, and moral (...) ownership) as key capacities predicting peer reporting intentions and assess three contextual factors influencing the generation and effects of moral potency: whether a potential informant (1) works for an ethical leader, (2) is embedded in a psychologically safe climate promoting interpersonal risk-taking, and (3) operates in a more normal or extreme context. We assess the proposed model across three field studies entailing both normal and extreme (i.e., firefighting units) contexts. Results show that ethical leaders raise employees’ moral potency, promoting greater willingness to report their peers’ CWBs. In normal work contexts, psychological safety positively moderated both the relationship between ethical leadership and moral potency and between moral potency and peer reporting intentions. However, psychological safety had the opposite effects in more extreme work contexts. Whereas psychological safety strengthens the positive association between moral potency and peer reporting intentions in normal work contexts, in contexts where individuals are more frequently exposed to extreme events, psychological safety weakens this relationship, thus highlighting the unforeseen downsides of psychological safety in extreme contexts. (shrink)

My contribution to the symposium on Goedel’s philosophy of mathematics at the spring 2006 Association for Symbolic Logic meeting in Montreal. Provisional version: references remain to be added. To appear in an ASL volume of proceedings of the Goedel sessions at that meeting.

Physician 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 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)

The interaction between the concepts of character attachment, agency, and choice in a video game narrative was investigated using BioWare’s Mass Effect trilogy. Posts on a BioWare forum discussing the depiction of their player characters in the ending sequences of Mass Effect 3, the final game in the trilogy, were downloaded and analyzed using thematic analysis. Players demonstrated emotional attachment for the characters and narrative and expected to see the consequences of their choices play out, as in the previous games. (...) Furthermore, players conflated winning the game with achieving a narratively satisfactory ending for the game world and its characters indicating emotional consequences for players that developers should consider when designing games with a high degree of player choice and agency. However, for some players character attachment is incongruous as they described Shepard as “acting out of character,” which needs further research. (shrink)

Promoting plant-based diets as a response to climate crisis has clear implications for producers of animal derived foods, but surprisingly little research considers their perspectives on this. Our exploration focused on farming strongly associated with meat production in Wales, UK. Mindful of polarised debates around plant-based diets, we considered dietary transition as an opportunity to produce for new markets. The first aim was to identify whether transition towards plant-based diets might trigger transformation of livestock agriculture. Findings indicate a potential trigger (...) event once livestock farmers are certain that consumer trends and climate mitigation require change. Livestock farmers who regard their meat as climate-friendly might resist transitions felt to unfairly disadvantage them. We then considered livestock farmers’ likely capacity to produce plant crops, and how this transformational capacity might be enhanced. Participants highlighted forms of financial and environmental inflexibility, plus social norms regarding “good” Welsh farmers, combining to make transformation risky. Transformational capacity might be enhanced through levering occupational and place attachments by portraying plant crops as a revival of historic practices from traditional farming landscapes. Improved linking capacity will also be beneficial, as producing for new markets requires connections to new supply chains, and learning across divisions within rural communities. We present these preliminary insights to livestock farmers’ attitudes and transformational capacity to inform future research with them to advance just agricultural transitions. Our study indicates potential to avoid confrontational discussion of dietary transition and we hope that others will pursue its focus on opportunities for farmers. (shrink)

Hintikka and Sandu have recently claimed that Frege's notion of function was substantially narrower than that prevailing in real analysis today. In the present note, their textual evidence for this claim is examined in the light of relevant historical and biographical background and judged insufficient.

What it means for an action to have moral worth, and what is required for this to be the case, is the subject of continued controversy. Some argue that an agent performs a morally worthy action if and only if they do it because the action is morally right. Others argue that a morally worthy action is that which an agent performs because of features that make the action right. These theorists, though they oppose one another, share something important in (...) common. They focus almost exclusively on the moral worth of right actions. But there is a negatively valenced counterpart that attaches to wrong actions, which we will call moral counterworth. In this paper, we explore the moral counterworth of wrong actions in order to shed new light on the nature of moral worth. Contrary to theorists in both camps, we argue that more than one kind of motivation can affect the moral worth of actions. (shrink)

Many studies have indicated that mathematics anxiety, and other negative attitudes and emotions toward mathematics, are pervasive and are associated with lower mathematical performance. Some previous research has suggested that working memory is related to both mathematics anxiety and mathematics. Moreover, both gender and chosen course of study appeared likely to influence students’ attitudes to mathematics. In the present study, 40 university undergraduates completed a battery of assessments investigating working memory, attitude to mathematics, test anxiety. and mental and written arithmetic. (...) Attitudes to mathematics were significantly associated with the other variables: working memory, test anxiety, and both measures of mathematical performance. The other variables were not strongly associated with one another. There were no gender differences in mathematical performance, but females exhibited more negative attitudes to mathematics and higher test anxiety than males. After controlling for test anxiety, there ceased to be significant gender differences in attitudes to mathematics. Science students had more positive attitudes to mathematics than humanities students, but the groups did not differ in test anxiety, Science students were better at written but not mental arithmetic. They were also better at working memory, but this was not a significant covariate when the groups were compared on mathematical performance and attitudes to mathematics The results are discussed, with particular focus on implications for future research on influences on mathematics anxiety. (shrink)

Saul Kripke has made fundamental contributions to a variety of areas of logic, and his name is attached to a corresponding variety of objects and results. 1 For philosophers, by far the most important examples are ‘Kripke models’, which have been adopted as the standard type of models for modal and related non-classical logics. What follows is an elementary introduction to Kripke’s contributions in this area, intended to prepare the reader to tackle more formal treatments elsewhere.2 2. WHAT IS A (...) MODEL THEORY? Traditionally, a statement is regarded as logically valid if it is an instance of a logically valid form, where a form is regarded as logically valid if every instance is true. In modern logic, forms are represented by formulas involving letters and special symbols, and logicians seek therefore to define a notion of model and a notion of a formula’s truth in a model in such a way that every instance of a form will be true if and only if a formula representing that form is true in every model. Thus the unsurveyably vast range of instances can be replaced for purposes of logical evaluation by the range of models, which may be more tractable theoretically and perhaps practically. Consideration of the familiar case of classical sentential logic should make these ideas clear. Here a formula, say (p & q) ∨ ¬p ∨ ¬q, will be valid if for all statements P.. (shrink)

Recently it has become almost the received wisdom in certain quarters that Kripke models are appropriate only for something like metaphysical modalities, and not for logical modalities. Here the line of thought leading to Kripke models, and reasons why they are no less appropriate for logical than for other modalities, are explained. It is also indicated where the fallacy in the argument leading to the contrary conclusion lies. The lessons learned are then applied to the question of the status of (...) the formula. (shrink)

In '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)

The essays contained in this volume examine the particular religious experiences of women within a remarkably vibrant and formative era in British religious history. Scholars from the disciplines of history, literary studies and theology assess women's contributions to renewal, change, and reform; and consider the ways in which women negotiated institutional and intellectual boundaries. The volume re-focuses scholarly approaches to the history of gender and the history of feminism by setting the British writers often characterised as 'early feminists' in their (...) theological and spiritual traditions. (shrink)

Earlier results on eliminating numerical objects from physical theories are extended to results on eliminating geometrical objects.