This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and (...) made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

Benacerraf’s 1965 multiple-reductions argument depends on what I call ‘deferential logicism’: his necessary condition for number-set identity is most plausible against a background Quineanism that allows autonomy of the natural number concept. Steinhart’s ‘folkist’ sufficient condition on number-set identity, by contrast, puts that autonomy at the center — but fails for not taking the folk perspective seriously enough. Learning from both sides, we explore new conditions on number-set identity, elaborating a suggestion from Wright.

The injective version of Cantor’s theorem appears in full second-order logic as the inconsistency of the abstraction principle, Frege’s Basic Law V (BLV), an inconsistency easily shown using Russell’s paradox. This incompatibility is akin to others—most notably that of a (Dedekind) infinite universe with the Nuisance Principle (NP) discussed by neo-Fregean philosophers of mathematics. This paper uses the Burali–Forti paradox to demonstrate this incompatibility, and another closely related, without appeal to principles related to the axiom of choice—a result hitherto unestablished. (...) It discusses both the general interest of this result, its interest to neo-Fregean philosophy of mathematics, and the potential significance of the Burali–Fortian method of proof. (shrink)

This article improves two existing theorems of interest to neologicist philosophers of mathematics. The first is a classification theorem due to Fine for equivalence relations between concepts definable in a well-behaved second-order logic. The improved theorem states that if an equivalence relation E is defined without nonlogical vocabulary, then the bicardinal slice of any equivalence class—those equinumerous elements of the equivalence class with equinumerous complements—can have one of only three profiles. The improvements to Fine’s theorem allow for an analysis of (...) the well-behaved models had by an abstraction principle, and this in turn leads to an improvement of Walsh and Ebels-Duggan’s relative categoricity theorem. (shrink)

Objects appear to fall into different sorts, each with their own criteria for identity. This raises the question of whether sorts overlap. Abstractionists about numbers—those who think natural numbers are objects characterized by abstraction principles—face an acute version of this problem. Many abstraction principles appear to characterize the natural numbers. If each abstraction principle determines its own sort, then there is no single subject-matter of arithmetic—there are too many numbers. That is, unless objects can belong to more than one sort. (...) But if there are multi-sorted objects, there should be cross-sortal identity principles for identifying objects across sorts. The going cross-sortal identity principle, ECIA2 of Cook and Ebert (2005), solves the problem of too many numbers. But, I argue, it does so at a high cost. I therefore propose a novel cross-sortal identity principle, based on embeddings of the induced models of abstracts developed by Walsh (2012). The new criterion matches ECIA2’s success, but offers interestingly different answers to the more controversial identifications made by ECIA2. (shrink)

Neo-Fregeans have been troubled by the Nuisance Principle, an abstraction principle that is consistent but not jointly satisfiable with the favored abstraction principle HP. We show that logically this situation persists if one looks at joint consistency rather than satisfiability: under a modest assumption about infinite concepts, NP is also inconsistent with HP.

One dark and rainy night, Yuso sexually assaults and tortures Zelan. In escaping from the scene of his crime, he falls heavily and becomes an impotent paraplegic. Instead of treating his fate as divine retribution for his wicked acts, Yuso sees it as sheer bad luck. He shows no remorse for what he has done, and vainly hopes that he will recover his powers, which he now treats as involuntarily hoarded resources to be used on less rainy days. In the (...) presence of others, he pretends that he has turned over a new leaf. He asks for religious and educational books, hoping to make up for his poor education and deprived social background. But he immediately discards them when he is alone in favor of the pornographic magazines which he has bribed a nurse to smuggle in for him. His deception and various obscene acts committed in the hospital are exposed; by the time he comes up for trial, everyone knows that he is still a lustful, sadistic, and unrepentant man. Most retributivists have a sufficient justification for punishing Yuso independently of the social consequences of his punishment. Two features of the case might cause some difficulties. First, Yuso has already experienced considerable suffering and deprivation both before and after his crime, and retributivists might disagree about the relevance of the suffering to his punishment. Secondly, Yuso is unrepentant, and it is unlikely that punishment will change him. This might, as we shall see, create a problem for those who think that the justifying aim of punishment is the moral reform of the offender. (shrink)

This detailed and sympathetic, but not uncritical, study of On Liberty' argues for the general consistency and coherence of Mill's defence of individual liberty, but maintains that there are significant non-utilitarian elements in his arguments.

What ecological advantages do animals gain by being able to detect, extract and exploit wavelength information? What are the advantages of representing that information as hue qualities? The benefits of adding chromatic to achromatic vision, marginal in object detection, become apparent in object recognition and receiving biological signals. It is argued that this improved performance is a direct consequence of the fact that many animals' visual systems reduce wavelength information to combinations of four basic hues. This engenders a simple categorical (...) scheme that permits a rich amount of sensory information to be rapidly and efficiently employed by cognitive machinery of limited capacity. (shrink)

At 8 a.m. I get in my car and set off for work. At 7:59 a.m., before I started it, my car was at rest; at 8:01 a.m. it is in motion. When a thing is not in motion, it is at rest, and when it is not at rest, it is in motion. But what was the state of the car at 8:00 a.m., as I was starting it? It would be inaccurate to say that it was in motion (...) but it would be inaccurate, also, to say that it was at rest: it was “just starting.” But, if whenever a thing is not in motion it is at rest, the state of “just starting”—or, of course, the comparable state of “just stopping”—must be either a state of motion or a state of rest. Which? (shrink)

In the essay On Liberty , Mill put forward his famous principle that society may only interfere with those actions of an individual which concern others and not with actions which merely concern himself. The validity of this principle depends on there being a distinction between self-regarding and other-regarding actions. But the concept of self-regarding actions has been severely criticised on the ground that all actions affect others in some way and are therefore other-regarding. The notion of self-regarding actions appears (...) to be completely discredited. Very recently, however, there has been some dissatisfaction with the traditional debunking of Mill on this score. Two serious and important attempts to reinterpret the principle were made by Mr J. C. Rees in an article entitled ‘A Re-Reading of Mill on Liberty’, and by Mr Alan Ryan in two brief but extremely useful contributions. My aim is to discuss these reinterpretations of Mill, and on the basis of this, build up what I think is the correct account of Mill's notion of self-regarding actions. (shrink)

Taking organs from dead people seems, prima facie, to raise fewer ethical complications than taking organs from other sources. There are, however, serious ethical problems in taking organs from the dead unless there is premortem evidence that this is what the deceased would have wanted, or at least, not have objected to. In this paper we will look at a “strong” opting out policy as proposed by John Harris. We will argue that people can be harmed after their death and (...) that the posthumous removal of organs against their expressed wishes is one form that such harm might take. We also argue that Harris’s claim that we show “equality of concern” between the donor and recipient requires too much. (shrink)

Objective: To examine current research payment practices and to inform development of clearer guidelines for researchers and ethics committees.Design: Exploratory email based questionnaire study of current research participant reimbursement practices. A diverse sample of organisations and individuals were targeted.Setting: Australia.Participants: Contacts in 84 key research organisations and select electronic listservers across Australia. A total of 100 completed questionnaires were received with representations from a variety of research areas .Main measurements: Open-ended and fixed alternative questions about type of research agency; type (...) of research; type of population under study; whether payment is standard; amounts and mechanisms of payment; factors taken into account when deciding on payment practices; and whether payment policies exist.Results: Reimbursement practice is highly variable. Where it occurs it is largely monetary and is for time and out-of-pocket expenses. Ethics committees were reported to be often involved in decision making around reimbursement.Conclusions: Research subject payment practices vary in Australia. Researchers who do provide payments to research participants generally do so without written policy and procedures. Ethics committees have an important role in developing guidelines in this area. Specific guidelines are needed considering existing local policies and procedures; payment models and their application in diverse settings; case study examples of types and levels of reimbursement; applied definitions of incentive and inducement; and the rationale for diverse payment practices in different settings. (shrink)

The legal requirements and justifications for collecting patient-identifiable data without patient consent were examined. The impetus for this arose from legal and ethical issues raised during the development of a population-based disease register. Numerous commentaries and case studies have been discussing the impact of the Data Protection Act 1998 and Caldicott principles of good practice on the uses of personal data. But uncertainty still remains about the legal requirements for processing patient-identifiable data without patient consent for research purposes. This is (...) largely owing to ignorance, or misunderstandings of the implications of the common law duty of confidentiality and section 60 of the Health and Social Care Act 2001. The common law duty of confidentiality states that patient-identifiable data should not be provided to third parties, regardless of compliance with the DPA1998. It is an obligation derived from case law, and is open to interpretation. Compliance with section 60 ensures that collection of patient-identifiable data without patient consent is lawful despite the duty of confidentiality. Fears regarding the duty of confidentiality have resulted in a common misconception that section 60 must be complied with. Although this is not the case, section 60 support does provide the most secure basis in law for collecting such data. Using our own experience in developing a disease register as a backdrop, this article will clarify the procedures, risks and potential costs of applying for section 60 support. (shrink)

Objective: To describe the frequency of support for terminal sedation among internists, determine whether support for terminal sedation is accompanied by support for physician assisted suicide , and explore characteristics of internists who support terminal sedation but not assisted suicide.Design: A statewide, anonymous postal survey.Setting: Connecticut, USA.Participants: 677 Connecticut members of the American College of Physicians.Measurements: Attitudes toward terminal sedation and assisted suicide; experience providing primary care to terminally ill patients; demographic and religious characteristics.Results: 78% of respondents believed that if (...) a terminally ill patient has intractable pain despite aggressive analgesia, it is ethically appropriate to provide terminal sedation . Of those who favoured terminal sedation, 38% also agreed that PAS is ethically appropriate in some circumstances. Along a three point spectrum of aggressiveness in end of life care, the plurality of respondents were in the middle, agreeing with terminal sedation but not with PAS. Compared with respondents who were less aggressive or more aggressive, physicians in this middle group were more likely to report having more experience providing primary care to terminally ill patients and attending religious services more frequently .Conclusions: Support for terminal sedation was widespread in this population of physicians, and most who agreed with terminal sedation did not support PAS. Most internists who support aggressive palliation appear likely to draw an ethical line between terminal sedation and assisted suicide. (shrink)