Cet article examine la thèse de Lautman selon laquelle la réalité des mathématiques doit être approchée par la « réalisation des idées dialectiques ». Pour ce faire, nous reprenons deux exemples que Lautman a lui-même traités. La question est de savoir si on peut ou non mieux décrire les idées dialectiques comme mathématiques, particulièrement maintenant que les moyens mathématiques d’approcher ces idées au niveau de généralisation appropriée existent. Ainsi, la théorie des catégories, inconnue de Lautman, peut donner une description très (...) approfondie de l’idée de dualité. Je soumets de plus que les instances, données par Lautman, de la réalisation des idées dialectiques en dehors des mathématiques et de la physique mathématique sont assez maigres, ce qui suggère fortement que les idées qu’il a décrites si admirablement sont immanentes à la pratique des mathématiques, au lieu d’appartenir à « une réalité idéale, supérieure aux mathématiques ».This paper examines Lautman’s claim that the reality of mathematics is to be addressed through the “realisation of dialectical ideas”. This is done in the context of two examples treated by Lautman himself. The question is raised as to whether we might better describe dialectical ideas as mathematical ones, especially now that we have mathematical means to approach these ideas at the right level of generality. For example, category theory, unknown to Lautman, can describe the idea of duality very thoroughly. It is argued that the instances given by Lautman of the realisation of dialectical ideas outside of mathematics and mathematical physics are rather slight, leading us to conclude that the ideas he so brilliantly describes are immanent to mathematical practice, rather than belonging to “an ideal reality, superior to mathematics”. (shrink)

When mathematicians think of the philosophy of mathematics, they probably think of endless debates about what numbers are and whether they exist. Since plenty of mathematical progress continues to be made without taking a stance on either of these questions, mathematicians feel confident they can work without much regard for philosophical reflections. In his sharp–toned, sprawling book, David Corfield acknowledges the irrelevance of much contemporary philosophy of mathematics to current mathematical practice, and proposes reforming the subject accordingly.

Antimicrobial resistance (AMR) poses an increasing threat to patient care and population health and there is a growing need for novel therapies to tackle AMR. Bacteriophage (phage) therapy is a re-emerging antimicrobial strategy with the potential to transform how bacterial infections are treated in patients and populations. Currently, in the UK, phages can be used as unlicensed medicinal products on a ‘named-patient’ basis. We make an ethical case for why it is crucially important for the UK to invest in Good (...) Manufacturing Practice (GMP) for both ongoing unlicensed and future licensed phage therapy. Access to phages produced to GMP (GMP phages) will ensure effective patient care and better outcomes as well as health systems benefits. The UK also has the potential to become a global leader in the timely and cost-efficient manufacturing and supply of a therapy that meets internationally recognised standards. (shrink)

In this ambitious study, David Corfield attacks the widely held view that it is the nature of mathematical knowledge which has shaped the way in which mathematics is treated philosophically and claims that contingent factors have brought us to the present thematically limited discipline. Illustrating his discussion with a wealth of examples, he sets out a variety of approaches to new thinking about the philosophy of mathematics, ranging from an exploration of whether computers producing mathematical proofs or conjectures are (...) doing real mathematics, to the use of analogy, the prospects for a Bayesian confirmation theory, the notion of a mathematical research programme and the ways in which new concepts are justified. His inspiring book challenges both philosophers and mathematicians to develop the broadest and richest philosophical resources for work in their disciplines and points clearly to the ways in which this can be done. (shrink)

Vendler’s :161–173, 1979) puzzle about imagination is that the sentences ‘Imagine swimming in that water’ and ‘Imagine yourself swimming in that water’ seem at once semantically different and semantically the same. They seem semantically different, since the first requires you to imagine ’from the inside’, while the second allows you to imagine ’from the outside.’ They seem semantically the same, since despite superficial dissimilarity, there is good reason to think that they are syntactically and lexically identical. This paper sets out (...) the puzzle and offers a novel solution. Our proposal is that, just as there is knowledge-wh, there is also imagining-wh and that the inside/outside distinction Vendler points to is properly understood as a distinction within imagining-wh. In particular, to imagine swimming from the inside is to imagine what it feels like to swim, while to imagine swimming from the outside is to imagine what it looks like to swim. We show that this proposal is well grounded in both the semantics and syntax of ‘imagine.’ We also argue it makes better sense than its rivals of the data Vendler found so puzzling. (shrink)

Background While there are many guidelines on how to make ethical decisions at the end of life, there is little evidence regarding the quality of this sort of ethical guidelines. Objectives First, this study aims to demonstrate the conceptual transferability of the Appraisal of Guidelines for Research and Evaluation (AGREE) instrument for the quality assessment of ethical guidelines. Second, it aims to illustrate the status quo of the quality of guidelines on end-of-life decision-making by using the AGREE instrument in a (...) first practice test. Method The transferability of the AGREE instrument on the quality assessment of ethical guidelines is demonstrated by conceptual analysis. Guidelines on end-of-life decisions in medicine are identified through a systematic search in MEDLINE (from June 1999 to June 2009). The quality of all included guidelines was assessed with a slightly modified AGREE instrument. Results Of 103 guidelines identified, 34 were included as relevant. The majority of the guidelines analysed in this study were assessed as qualitatively insufficient in five out of six AGREE quality domains. A few guidelines demonstrated, however, that a high level of quality in accordance with the AGREE requirements is possible. Conclusion This review concludes that the quality of many ethical guidelines should and can be improved in all quality domains specified by the AGREE instrument. Furthermore, conceptual analysis indicates that a slightly modified AGREE instrument is transferable to the comprehensive evaluation of the quality of ethical guidelines. Nevertheless, future research is needed to improve the assessment of the presentation of the guidelines' normative basis. (shrink)

The subject of the present inquiry is the approach-to-the-truth research, which started with the publication of Sir Karl Popper's Conjectures and Refutations. In the decade before this publication, Popper fiercely attacked the ideas of Rudolf Carnap about confirmation and induction; and ten years later, in the famous tenth chapter of Conjectures he introduced his own ideas about scientific progress and verisimilitude. Abhorring inductivism for its apprecia tion of logical weakness rather than strength, Popper tried to show that fallibilism could serve (...) the purpose of approach to the truth. To substantiate this idea he formalized the common sense intuition about preferences, that is: B is to be preferred to A if B has more advantages andfewer drawbacks than A. In 1974, however, David Millerand Pavel Tichy proved that Popper's formal explication could not be used to compare false theories. Subsequently, many researchers proposed alternatives or tried to improve Popper's original definition. (shrink)

In this ambitious study, David Corfield attacks the widely held view that it is the nature of mathematical knowledge which has shaped the way in which mathematics is treated philosophically, and claims that contingent factors have brought us to the present thematically limited discipline. Illustrating his discussion with a wealth of examples, he sets out a variety of new ways to think philosophically about mathematics, ranging from an exploration of whether computers producing mathematical proofs or conjectures are doing real (...) mathematics, to the use of analogy, the prospects for a Bayesian confirmation theory, the notion of a mathematical research programme, and the ways in which new concepts are justified. His highly original book challenges both philosophers and mathematicians to develop the broadest and richest philosophical resources for work in their disciplines, and points clearly to the ways in which this can be done. (shrink)

This article suggests that Chomsky’s notorious ‘London’ argument against semantics looks much more plausible that it is usually interpreted as being when seen in the light of something apparently remote from its concerns, viz., David Lewis’s distinction between natural and non-natural properties.

"Deductivism" is the thesis that all logic is deductive. Stove lays out the arguments for the existence of non-deductive logic.

Most contributions to the current debate about the consideration and application of empirical information in ethics scholarship deal with epistemological issues such as the role and the meaning of empirical research in ethical reasoning. Despite the increased publication of empirical data in ethics literature we still lack systematic analyses and conceptual frameworks that would help us to understand the rarely discussed methodological and practical problems in appraising empirical research. This paper demonstrates the need for critical appraisal and its crucial methodological (...) role in the application of empirical information in ethical reasoning. Furthermore, it systematically examines the criteria and the appropriate appraisal of empirical research and the associated challenges by highlighting current problems in empirical ethics literature. These problems reveal the following challenges for a critical and responsible consideration of empirical information in ethical reasoning: (i) training in the basic skills of locating and communicating empirical data from the relevant studies; (ii) training in basic knowledge of how to critically appraise empirical (qualitative and quantitative) research and its results; (iii) determination of quality standards for empirical ethics research; (iv) adequate reporting of the methodology and results of empirical ethics research in scientific journals. (shrink)

Part of the work for this paper was done during the tenure of a fellowship at the Center for Advanced Study in the Behavioral Sciences. I am grateful for financial support provided by the National Science Foundation, Grant #BNS-8011494, and for the assistance of the staff of the Center. I also want to thank David Bloor, Stephen Downes, David Hull and Andy Pickering for offering good advice and criticism, some of which I have heeded.

In [Ono 1987] H. Ono put the question about axiomatizing the intermediate predicate logicLFin characterized by the class of all finite Kripke frames. It was established in [ Skvortsov 1988] thatLFin is not recursively axiomatizable. One can easily show that for any finite posetM, the predicate logic characterized byM is recursively axiomatizable, and its axiomatization can be constructed effectively fromM. Namely, the set of formulas belonging to this logic is recursively enumerable, since it is embeddable in the two-sorted classical predicate (...) calculusCPC 2. Thus the logicLFin is II 2 0 -arithmetical.Here we give a more explicit II 2 0 -description ofLFin: it is presented as the intersection of a denumerable sequence of finitely axiomatizable Kripke-complete logics. Namely, we give an axiomatization of the logicLB n P m + characterized by the class of all posets of the finite height m and the finite branching n. A finite axiomatization of the predicate logicLP m + characterized by the class of all posets of the height m is known from [Yokota 1989]. We prove thatLB n P m + =,B n being the propositional axiom of the branching n. (shrink)

Both the concept of a Darwinian tree of life (TOL) and the possibility of its accurate reconstruction have been much criticized. Criticisms mostly revolve around the extensive occurrence of lateral gene transfer (LGT), instances of uptake of complete organisms to become organelles (with the associated subsequent gene transfer to the nucleus), as well as the implications of more subtle aspects of the biological species concept. Here we argue that none of these criticisms are sufficient to abandon the valuable TOL concept (...) and the biological realities it captures. Especially important is the need to conceptually distinguish between organismal trees and gene trees, which necessitates incorporating insights of widely occurring LGT into modern evolutionary theory. We demonstrate that all criticisms, while based on important new findings, do not invalidate the TOL. After considering the implications of these new insights, we find that the contours of evolution are best represented by a TOL. (shrink)

The volume includes important criticisms of Bayesian reasoning and also gives an insight into some of the points of disagreement amongst advocates of the ...

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 38.1 (2000) 87-101 [Access article in PDF] Collingwood on Re-Enactment and The Identity of Thought Giuseppina D'oro University of Keele Collingwood's The Idea of History is often discussed in the context of the issue of the reducibility/non-reducibility of explanations in the social sciences to explanations in the natural sciences. In the 1950s and 60s, following the publication of Hempel's influential article, "The Function (...) of General Laws in History,"1 many looked at Collingwood's defence of the autonomy of history as providing the appropriate conceptual resources to counter Hempel's claim that explanations in history and in the natural sciences share the same logical structure. Collingwood was recruited as an ally in a number of debates in analytical philosophy of history with a view to clarifying the nature of appropriately historical explanations and the proper subject matter of historical science. In this paper, I wish to consider Collingwood's account of historical understanding from a related but distinct perspective, that is, I wish to consider re-enactment from the perspective of Collingwood's (controversial) claim that thought stands outside time, and that it is because thought stands outside time that it is possible to understand the thoughts of other agents, including those of agents who lived in a distant past. Although Collingwood's account of re-enactment is developed in the context of his philosophy of history, it addresses some very general issues within the philosophy of mind. It is with Collingwood's approach to these general issues that the present paper is concerned: First, I explicate Collingwood's account of re-enactment against the background of his philosophy of mind and, second, attempt to show that one important goal of Collingwood's account of re-enactment is to undermine a certain type of scepticism about the possibility of sharing the thoughts of others, rather than provide a straightforward refutation of this sceptical position. While I believe Collingwood's claim that thought stands outside time to have important repercussions on how to understand [End Page 87] issues more closely related to the philosophy of history, I will not attempt, for reasons of space, to cash out these implications here.In The Idea of History2 the concept of re-enactment is expounded largely via an engagement with an imaginary objector. The position that Collingwood attributes to the imaginary objector can be preliminarily summarized as saying that the objector identifies thoughts with token acts of thinking which can be spatio-temporally located, rather than with the propositional content expressed by those token acts. It is because the objector holds thoughts to be token acts which can be spatio-temporally located that s/he denies that two agents can have or share one and the same thought. Collingwood's reply to the imaginary objector relies on a philosophy of mind that is developed elsewhere3 but whose key elements are presupposed by his discussion of re-enactment in The Idea of History, and essential to an understanding of Collingwood's position.4An important aspect of Collingwood's philosophy of mind concerns his understanding of what is meant by an 'object of thought': When I call a thing subjective I mean that it is or pertains to a subject or conscious mind. When I call it objective I mean that it is or pertains to the object of which such a mind is conscious. I do not call a real rose objective and an imaginary one subjective, or the molecules in it objective and the beauty of it subjective. A real rose I call real and an imaginary rose I call imaginary; and I call them both objective because they are the objects of a perceiving and imagining mind respectively. (SM, 11)5For the sake of clarity I shall refer to the subjective/objective distinction as used by Collingwood as subjective2 and objective2 and to the subjective/objective distinction against which it is contrasted as subjective1 and objective1. Objective1 means existing in... (shrink)

Aristotle bequeathed to us a powerful metaphysical picture, of substances in which properties inhere. The picture has turned out to be highly problematic in many ways; but it is nevertheless a picture not easy to dislodge. Less obvious are the normative tones implicit in the picture and the way these permeate our system of values, especially when thinking of ourselves and our ambitions, hopes and fears. These have proved, if anything, even harder to dislodge than the metaphysical picture which supports (...) them. This paper first draws out the ethics suggested by a conception of being as individual substances, and finds both inner tensions among these values—expressed in divergent characteristics in the history of philosophy—and a neglect of a significant set of values. Substance metaphysics prefers freedom, independence and autonomy over relational and reciprocal values, which can even be regarded as existentially threatening. A prominent attempt to accommodate both sorts of values without eschewing substantialist metaphysics is briefly considered, before turning to examine an alternative metaphysics and the values it implies. A metaphysics which takes being as becoming, it is argued, supports an ethics centred on relational values, and their associated virtues of care. (shrink)

The foundation of the mathematical theory of probabilities is still a controversial subject. There are schools of insufficient reasoning and of cogent reasoning, of a priori determination and of frequency determination, of subjective and of objective probability. Two main difficulties exist. The first is the definition of equally like events. The second difficulty is the relation between the laws of causal natural science and the laws of statistical regularity. Is it really necessary to add to the laws of mechanics one (...) or more independent “laws of large numbers” to explain the regularities in dice throwing? In all these cases different answers exist, and the existence of a mathematical theory of probabilities remains a kind of miracle, as esoteric to the further domain of natural science as the resurrection of the dead. (shrink)

Many studies examine a stressors-professional burnout (PB) relation, but only few consider the role of ethical conflicts (ECs) in this context. The aim of this study was to characterize ECs' frequency and level of burden with them among nurses and to establish the relations between ECs' frequency, burden and PB. One hundred nurses participated in this study. ECs' frequency and burden were tested with an originally developed questionnaire. PB was examined with Maslach Burnout Inventory. Most frequent ECs concerned a nurse-patient (...) relationship. PB was positively related to ECs' frequency (r = .54; p = .001) and burden (r = .22; p = .03). Frequency of specific conflict did not imply burden with it and vice versa. ECs' frequency seems more important for PB than a level of burden with them. The most frequent and the most burdening conflicts may lead to development of PB but the less frequent and less burdening ones are also dangerous. (shrink)

ABSTRACT Translating archaic Greek philosophies presents a complex of opportunities and challenges for translators, several of which are regularly overlooked. Among these figure prominently the culture and thematics of oralcy and the predisciplinarity in which early Greek thinking took shape. Additionally, translators engaged with early Greek thinking face layers of interpretive history and expectations that can determine the scope of possible translation, which, in turn, limits the range of interpretive possibilities. Yet their predisciplinary or at least hybrid modes summon a (...) broad attention to contexts of language, forms, and meanings that may challenge, or even disrupt, the predominant lines of inquiry and interpretation. How can translation motivated by the oralcy and predisciplinarity of archaic Greece open new directions for interpretation of the early Greek thinkers? Ranging through Anaximander, Xenophanes, Heraclitus, Parmenides, and others, this article articulates some possibilities for translating on and beyond the boundaries of philosophy. (shrink)