In this paper we apply the idea of Revision Rules, originally developed within the framework of the theory of truth and later extended to a general mode of definition, to the analysis of the arithmetical hierarchy. This is also intended as an example of how ideas and tools from philosophical logic can provide a different perspective on mathematically more “respectable” entities. Revision Rules were first introduced by A. Gupta and N. Belnap as tools in the theory of truth, and they (...) have been further developed to provide the foundations for a general theory of (possibly circular) definitions. Revision Rules are non-monotonic inductive operators that are iterated into the transfinite beginning with some given “bootstrapper” or “initial guess.” Since their iteration need not give rise to an increasing sequence, Revision Rules require a particular kind of operation of “passage to the limit,” which is a variation on the idea of the inferior limit of a sequence. We then define a sequence of sets of strictly increasing arithmetical complexity, and provide a representation of these sets by means of an operator G(x, φ) whose “revision” is carried out over ω2 beginning with any total function satisfying certain relatively simple conditions. Even this relatively simple constraint is later lifted, in a theorem whose proof is due to Anil Gupta. (shrink)

Utilising science and technology to maximize human performance is often an essential feature of military activity. This can often be focused on mission success rather than just the welfare of the individuals involved. This tension has the potential to threaten the autonomy of soldiers and military physicians around the taking or administering of enhancement neurotechnologies (e.g., pills, neural implants, and neuroprostheses). The Hybrid Framework was proposed by academic researchers working in the U.S. context and comprises “rules” for military neuroenhancement (e.g., (...) ensuring transparency and maintaining dignity of the warfighter). Integrating traditional bioethical perspectives with the unique requirements of the military environment, it has been referenced by military/government agencies tasked with writing official ethical frameworks. Our two-part investigation explored the ethical dimensions of military neuroenhancements with military officers – those most likely to be making decisions in this area in the future. In three workshops, structured around the Hybrid Framework, we explored what they thought about the ethical issues of enhancement neurotechnologies. From these findings, we conducted a survey (N = 332) to probe the extent of rule endorsement. Results show high levels of endorsement for a warfighter’s decision-making autonomy, but lower support for the view that enhanced warfighters would pose a danger to society after service. By examining the endorsement of concrete decision-making guidelines, we provide an overview of how military officers might, in practice, resolve tensions between competing values or higher-level principles. Our results suggest that the military context demands a recontextualisation of the relationship between military and civilian ethics. (shrink)

[Esotericism. One-day Workshop about the Annale n. 25 of the Storia d'Italia Einaudi]. This section contains the proceedings of the one-day workshop on the book Esoterismo, published as the Annale n. 25 in the collection "History of Italy" by Einaudi. The workshop was organized by ISPF on the October 26, 2011 to promote the discussion on the significance of Western esotericist traditions in Italian history. S. Caianiello’s introduction highlights some major concepts and goals of the recent field of studies about (...) Western Esotericism, and some open problems about its definition. M. Cambi comments on the substantial transformation of esotericist themes in Giordano Bruno’s natural philosophy, whereby the sources of the magician’s power are completely enclosed in the realm of nature, thus rejecting any transcendent foundation. M. Conforti focuses on "the function and opportunities" offered by the Western Esotericism approach "to the genesis and development of early modern science" and comments from this perspective on different contributions in the volume, emphasizing however the importance of largely pre-existing traditions in the history of science and medicine which have long challenged the wiggish separation between science and magic, rational and irrational thought. L. Simonutti provides new material to the general theme, with a historical-philosophical analysis of the esotericist elements in Picart’s iconography of the 18th Century edition of "Cymbalum mundi". F. Sofia discusses the effective role of esotericist traditions in the attempts to establish a "civil religion" in Italy from Risorgimento to Fascism, a history in which, she argues, it is difficult to establish "how much esotericism was an intentional choice or the product of an unavoidable nicodemism". C. Castellano reviews the contributions dedicated to the "political teology" of Italian Risorgimento, dealing in depth with the complex relationship between Freemasonry and Carbonari in Italy – in her view, more of a cultural than of a strictly political connection – and highlights the relevance of the anticurial component in their esotericist inspiration. G.M. Cazzaniga, author and editor of the Annale, beyond reacting to the different stimuli offered by the discussion, provides a brief history of Western Esotericism studies in Europe and of the reasons of their difficult reception in Italy. (shrink)

Are words like ‘woman’ or ‘man’ sex terms that we use to talk about biological features of individuals? Are they gender terms that we use to talk about non-biological features e.g. social roles? Contextualists answer both questions affirmatively, arguing that these terms concern biological or non-biological features depending on context. I argue that a recent version of contextualism from Jennifer Saul that Esa Diaz-Leon develops doesn't exhibit the right kind of flexibility to capture our theoretical intuitions or moral and political (...) practices concerning our uses of these words. I then float the view that terms like 'woman' or 'man' are polysemous, arguing that it makes better sense of the significance of some forms of criticisms of mainstream gender ideology. (shrink)

Upon doing something generous for someone with whom you are close, some kind of reciprocity may be appropriate. But it often seems wrong to actually request reciprocity. This chapter explores the wrongness in making these requests, and why they can nevertheless appear appropriate. After considering several explanations for the wrongness at issue (involving, e.g. distinguishing oughts from obligation, the suberogatory, imperfect duties, and gift-giving norms), a novel proposal is advanced. The requests are disrespectful; they express that their agent insufficiently trusts (...) the hearer to recognize their own reasons to reciprocate, and the close relationship between them morally requires this kind of trust. This proposal is articulated and situated in the recent discussion of the normativity of requests. The chapter concludes by explaining how these requests may appear appropriate. Agents in these relationships often have standing to make requests, though the standing is lacking in these particular cases. (shrink)

A critical survey of various positions on the nature, use, possession, and analysis of normative concepts. We frame our treatment around G.E. Moore’s Open Question Argument, and the ways metaethicists have responded by departing from a Classical Theory of concepts. In addition to the Classical Theory, we discuss synthetic naturalism, noncognitivism (expressivist and inferentialist), prototype theory, network theory, and empirical linguistic approaches. Although written for a general philosophical audience, we attempt to provide a new perspective and highlight some underappreciated problems (...) about normative concepts. (shrink)

Ethicists struggle to take reductive views seriously. They also have trouble conceiving of some supervenience failures. Understanding why provides further evidence for a kind of hybrid view of normative concept use.

The question to be discussed in this paper can be put in simple terms: at what date were the collections of scholia on classical Greek authors compiled? Scholars have given two conflicting answers. The first was put forward by J. W. White in his edition of the scholia to Aristophanes' Birds. Developing an opinion of Dindorf, he suggested that the archetype of the scholia was a large parchment codex of the fourth or fifth century, which contained in the margins a (...) commentary drawn from several sources. A very similar view has been expressed about the scholia to Apollonius Rhodius and Pindar. (shrink)

The Priestley duality for Wajsberg algebras is developed. The Wajsberg space is a De Morgan space endowed with a family of functions that are obtained in rather natural way.As a first application of this duality, a theorem about unicity of the structure is given.

NG van Kampen is a well-known theoretical physicist who has had a long and distinguished career. His research covers scattering theory, plasma physics, statistical mechanics, and various mathematical aspects of physics. In addition to his scientific work, he has written a number of papers about more general aspects of science. An indefatigable fighter for intellectual honesty and clarity, he has pointed out repeatedly that the fundamental ideas of physics have been needlessly obscured. As those papers appeared in various journals, partly (...) in Dutch, it was felt that it would be worthwhile to collect them (translating the Dutch material into English) and make them available to a larger audience. This is a book of major importance to scientists and university teachers. (shrink)

The question to be discussed in this paper can be put in simple terms: at what date were the collections of scholia on classical Greek authors compiled? Scholars have given two conflicting answers. The first was put forward by J. W. White in his edition of the scholia to Aristophanes' Birds. Developing an opinion of Dindorf, he suggested that the archetype of the scholia was a large parchment codex of the fourth or fifth century, which contained in the margins a (...) commentary drawn from several sources. A very similar view has been expressed about the scholia to Apollonius Rhodius and Pindar. (shrink)

In 1023ff. the poet explains that he has not been spoiled by success. The verb ༐κτελσαι in 1024 has been suspected, and though recent editors accept it, taking it as absolute, I am far from convinced that it is what the author wrote. Blaydes, in his usual fashion, records conjectures and makes some of his own, but though he hits the mark quite often in Aristophanes as he does in Sophocles, in this passage his efforts, e.g. ༐κγελσαι, fail to satisfy. (...) I propose instead ༐κχαλσαι, ‘relax’. It might be transitive, but I slightly prefer to take it as intransitive. It is a rare word and all the more likely to be corrupted. The best parallel I can find is Hippocrates, De Octimestri Partu 1.2 : ουες ༐υ oσι τυ ρχυ ༐τρøη, ὣσπερ τυ σταχωυ, ζεχλασαυ πρσθευ υαγκαζμευου 祴 τελεως ζαδρυυθυαι τυ καρπυ. The verb is correctly transmitted in the best MS, Marc.gr. 269, while the other main source of the treatise, Vat.gr. 276, offers ζεκλεσαυ9, which is clearly due to an error by a scribe who did not recognize the unusual word required by the context. As to the date of this treatise, it is believed by one of the best modern authorities to be no later than the end of the fifth century and is therefore nearly contemporary with Aristophanes. (shrink)

In 1023ff. the poet explains that he has not been spoiled by success. The verb ༐κτελσαι in 1024 has been suspected, and though recent editors accept it, taking it as absolute, I am far from convinced that it is what the author wrote. Blaydes, in his usual fashion, records conjectures and makes some of his own, but though he hits the mark quite often in Aristophanes as he does in Sophocles, in this passage his efforts, e.g. ༐κγελσαι, fail to satisfy. (...) I propose instead ༐κχαλσαι, ‘relax’. It might be transitive, but I slightly prefer to take it as intransitive. It is a rare word and all the more likely to be corrupted. The best parallel I can find is Hippocrates, De Octimestri Partu 1.2 : ουες ༐υ oσι τυ ρχυ ༐τρøη, ὣσπερ τυ σταχωυ, ζεχλασαυ πρσθευ υαγκαζμευου 祴 τελεως ζαδρυυθυαι τυ καρπυ. The verb is correctly transmitted in the best MS, Marc.gr. 269, while the other main source of the treatise, Vat.gr. 276, offers ζεκλεσαυ9, which is clearly due to an error by a scribe who did not recognize the unusual word required by the context. As to the date of this treatise, it is believed by one of the best modern authorities to be no later than the end of the fifth century and is therefore nearly contemporary with Aristophanes. (shrink)

On one way of talking about a traditional metaethical topic, realists accept that some items appear on the list of what exists in the moral or more broadly normative domain of inquiry. They then divide over whether those items are like what science and experience suggest that all other items on the list of what exists across all domains are like – naturalistic and secular. Reductive naturalists answer this further question affirmatively. Why don’t nonnaturalists? I explore the answer that it’s (...) because normative entities are “just too different” in the sense that they are countably different things. However, I argue that this answer rests on the subtle presupposition that the normative domain doesn’t also contain uncountable entities of the sort that analytic metaphysicians call “stuff”. Taking intuitions of difference seriously points the way to a novel form of metaethical reductive naturalism. The key is to identify the stuff that matters. (shrink)

The evidence of ancient books points to the surprising conclusion that in texts of drama or prose dialogue changes of speaker were not usually marked by the name of the new speaker. Instead the ancient reader had a colon, sometimes combined with a paragraphus or stroke in the margin, to guide him. The inconvenience of this practice and the muddle it caused need no emphasis. The facts have been assembled for the text of Plato and Lucian by J. Andrieu , (...) and for Aristophanes by J. C. B. Lowe , 27–42). As far as prose dialogues are concerned confirmation can be found in an unexpected source: the prologue to the dialogue Eranistes by the fifth-century church father Theodoret. (shrink)

Among the Greek manuscripts in the Earl of Leicester's library at Holkham, which were recently acquired by the Bodleian Library throuth the generosity of the Dulverton Trust, is a volume containing eight of Aristophanes' plays. This manuscript is not included in the list of Aristophanes' manuscripts compilied by J. W. White, and it seems that no editor has ever consulted it. The object of this paper is to describe the manuscript, which will be called L, to prove that it is (...) an almost complete copy of the Triclinian edition of Aristophanes. (shrink)

As part of an ethics course, health professions students were asked to identify ethical issues and to propose resolutions before and after a class discussion of a case involving confidentiality and substance abuse. Students listed an average of 2.4 issues before and 3.6 issues after the discussion. After discussion 50 per cent of students made explicit changes in their proposed resolution. Opinions varied widely on breaching confidentiality and the responsibility for protecting the patient's health. After the discussion almost 20 per (...) cent of the class felt it was acceptable to breach confidentiality as long as the patient was unaware. Many students identified more with the health care provider than with the patient. The presence of substance abuse altered many students' views on confidentiality. In this experience students were less rigorous in their application of principles, creating an excellent opportunity for teaching through exploration of the complexity of ethical decision-making in a specific case. (shrink)

At the beginning of the dog's trial the prosecution state the charge and the penalty they propose. It seems to me that there may be a more complicated joke here than is generally realized. The penalty of a collar is appropriate for a dog and in real life was sometimes imposed on a slave or a prisoner. The epithet applied to the collar is usually translated ‘of figwood’ and taken to be a pun on. Commentators see the same pun earlier (...) in the play at 145, although in that passage the sense may be adequate without the pun; the adjective does not necessarily constitute a joke in itself but is perhaps chosen deliberately to lead into the joke. (shrink)

The evidence of ancient books points to the surprising conclusion that in texts of drama or prose dialogue changes of speaker were not usually marked by the name of the new speaker. Instead the ancient reader had a colon, sometimes combined with a paragraphus or stroke in the margin, to guide him. The inconvenience of this practice and the muddle it caused need no emphasis. The facts have been assembled for the text of Plato and Lucian by J. Andrieu, and (...) for Aristophanes by J. C. B. Lowe, 27–42). As far as prose dialogues are concerned confirmation can be found in an unexpected source: the prologue to the dialogue Eranistes by the fifth-century church father Theodoret. (shrink)