A Heyting algebra is supplemented if each element a has a dual pseudo-complement \, and a Heyting algebra is centrally supplement if it is supplemented and each supplement is central. We show that each Heyting algebra has a centrally supplemented extension in the same variety of Heyting algebras as the original. We use this tool to investigate a new type of completion of Heyting algebras arising in the context of algebraic proof theory, the so-called hyper-MacNeille completion. We show that the (...) hyper-MacNeille completion of a Heyting algebra is the MacNeille completion of its centrally supplemented extension. This provides an algebraic description of the hyper-MacNeille completion of a Heyting algebra, allows development of further properties of the hyper-MacNeille completion, and provides new examples of varieties of Heyting algebras that are closed under hyper-MacNeille completions. In particular, connections between the centrally supplemented extension and Boolean products allow us to show that any finitely generated variety of Heyting algebras is closed under hyper-MacNeille completions. (shrink)

This article describes a practical example of the predicate grue, examining the economic relationship between the percentage rate of unemployment and the percentage change of money wage rates known as the simple Phillips curve which exhibited regular behaviour before 1969 and erratic behaviour thereafter. It is proposed that such practical examples of grue from the real world be redescribed as regulatic. i.e. regular before time t and erratic thereafter. In the instance of a scientific model or theory being falsified it (...) is proposed to describe the predicate as tralse, i.e true before time t and false thereafter. The example to be discussed is a stronger example since entities in the real world started to behave in an extremely unpredictable fashion. (shrink)

Bioethical Prescriptions collects F.M. Kamm's articles on bioethics -- revised for publication in book form -- which have appeared over the last 25 years and which have made her among the most widely-respected philosophers working in this field.

I begin by reconsidering the arguments of John Taurek and Elizabeth Anscombe on whether the number of people we can help counts morally. I then consider arguments that numbers should count given by F. M. Kamm and Thomas Scanlon, and criticism of them by Michael Otsuka. I examine how different conceptions of the moral method known as pairwise comparison are at work in these different arguments and what the ideas of balancing and tie-breaking signify for decision-making in various types of (...) cases. I conclude by considering how another moral method that I call virtual divisibility functions and what it helps reveal about an argument by Otsuka against those who do not think numbers count. (shrink)

This book is a philosophical discussion of moral, legal, and medical issues related to aging, dying, and death. One of its aims is to decide whether and when it might make sense to not resist or bring about the end of one's life. To answer this question it considers views about meaning in life and what makes life worth living. It also evaluates recent attempts to help the general public plan in advance for the end of life. It also considers (...) whether or not physician-assisted suicide is morally permissible and if it should be legalized. (shrink)

Ethics for Enemies comprises three original philosophical essays on torture, terrorism, and war. F. M. Kamm deploys ethical theory in her challenging new treatments of these most controversial practical issues. First she considers the nature of torture and the various occasions on which it could occur, in order to determine why it might be wrong to torture a wrongdoer held captive, even if this were necessary to save his victims. In the second essay she considers what makes terrorism wrong--whether it (...) is the intention to harm civilians, rather than harm to them being 'collateral damage,' or something else--and whether terrorism is always wrong. The third essay discusses whether having a right reason, in the sense of a right intention, is necessary in order for a war to be just. Kamm then examines ways in which the harms of war can be proportional to the achievement of the just cause and other goods that war can bring about, so as to make the declaration of war permissible. (shrink)

This article considers the possible relation between the idea of parity and some past work on the allocation of scarce resources. Parity of value is first connected with the idea of some goods being irrelevant in interpersonal comparisons. The notion of moral parity is introduced to describe the recognition that people who are moral equals (even when they are not on a par in terms of value) as not substitutable. The relation between a Separability Test and nonsubstitutability of persons is (...) considered. These ideas are then used to discuss various cases in which one must choose to whom to provide medical assistance, including whether and when to distinguish morally between a disabled and a nondisabled person. (shrink)

Bioethics committees have issued guidelines that medical interventions should be permissible only in cases of clinically verifiable disease, deformity, or injury. Furthermore, once the existence of one or more of these requirements has been proven, the proposed therapeutic procedure must reasonably be expected to result in a net benefit to the patient. As an exception to this rule, some prophylactic interventions might be performed on individuals “in their best interests” or with the aim of averting an urgent and potentially calamitous (...) public health danger. In order to invoke these exceptions, a stringent set of criteria must first be satisfied. Additionally, where the proposed prophylactic intervention is intended for children, who are unlikely to be able to provide a meaningfully informed consent, a heightened scrutiny of any such measures is required. We argue that children should not be subjected to prophylactic interventions “in their best interests” or for public health reasons when there exist effective and conservative alternative interventions, such as behavioural modification, that individuals could employ as competent adolescents or adults to avoid adverse health outcomes. Applying these criteria, we consider the specific examples of prophylactic mastectomy, immunisations, cosmetic ear surgery, and circumcision. (shrink)

Some of the commentators on Intricate Ethics complain of my method. One finds the main ideas ‘Kammouflaged’ because the relevant causal distinctions are so fine-grained and the cases that illustrate them so numerous. Some say that they do not have the intuitions about many cases that I have, that I concoct dubious and ad hoc distinctions and invest them with moral significance; I am Ptolemaic in that new crystalline spheres and epicycles are constantly being added in an attempt to fix (...) the appearances. (shrink)

The Moral Target: Aiming at Right Conduct in War and Other Conflicts comprises essays that discuss aspects of war and other conflicts in the light of nonconsequentialist ethical theory. Topics include the relation between conditions that justify starting war and those that justify stopping it, the treatment of combatants and noncombatants in war, collaboration, justice after war and other conflicts, terrorism, resistance to communal injustice, and nuclear deterrence.

The object of this paper is to show that, in the sixth and fifth centuries B.C., two different and radically opposed systems of thought were elaborated within the Pythagorean school. They may be called respectively the mystical system and the scientific. All current accounts of Pythagoreanism known to me attempt to combine the traits of both systems in one composite picture, which naturally fails to hold together. The confusion goes back to Aristotle, who usually speaks indiscriminately of ‘the Pythagoreans,’ though (...) now and then the phrase ‘some Pythagoreans’ indicates that he was aware of different currents within the school. (shrink)

Abortion bans have been characterized as cruel especially in not allowing exceptions for rape or incest. The article first examines one approach to morally justifying bans based on the Doctrine of Double Effect (DDE) which distinguishes morally between killing or letting die intending death versus doing so only foreseeing death. It then presents some criticisms of the implications of the DDE but also argues that what the doctrine permits helps provide a ground for the permissibility of abortions even if the (...) fetus is a person. Whether there are limits on applying this argument is also considered. In conclusion, the article considers whether and why not permitting exceptions to bans for rape and incest is cruel and whether cruelty is a ground for opposition to bans. (shrink)

This article begins by comparing terror and death and then focuses on whether killing combatants and noncombatants as a mere means to create terror, that is in turn a means to winning a war, is ever permissible. The role of intentions and alternative acts one might have done is examined in this regard. The second part of the article begins by criticizing a standard justification for causing collateral (side effect) deaths in war and offers an alternative justification that makes use (...) of the idea of group liability. (shrink)

In this essay, I shall discuss ethical issues that arise with our increasing ability to affect the genetic makeup of the human population. These effects can be produced directly by altering the genotype , or indirectly by aborting, not conceiving, or treating individuals because of their genetic makeup in ways made possible by genetic pharmacology. I shall refer to all of these sorts of procedures collectively as the Procedures. Some of the ethical issues the Procedures raise are old, arising quite (...) generally when we can affect the well-being of people, even in the absence of the ability to affect them in the ways just described. My examination of these issues is prompted by the recent at-length discussion of them, From Chance to Choice , by Allen Buchanan, Dan Brock, Norman Daniels, and Daniel Wikler. (shrink)

Peter Unger’s book has both substantive and methodological aims. Substantively, it aims to prove the following four claims in the following order: we must, in general, suffer great losses of property to prevent suffering and death; we may, in general, impose such losses on others for the same goals; we may, in general, kill others to prevent more deaths; and we must, in general, kill ourself to prevent more deaths. Methodologically, it aims to show that intuitive judgments about cases that (...) would be presented as evidence against the four substantive claims—the standard technique of nonconsequentialists arguing against consequentialists—are worthless because we can construct cases that generate the opposite intuitive judgment; further, we can show that the factors that distinguish the cases yielding such different intuitions are not morally significant; and hence, we must decide which judgments are correct by consulting such general moral values as the importance of reducing suffering and death. Thus, Unger offers an error theory of nonconsequentialist restrictions on harming others and prerogatives not to make large sacrifices to aid. This error theory is based on the psychological effects of morally insignificant factors. (shrink)

In this article, I first compare positions I have taken in the past and those taken by Peter Singer on how the allocation of life-saving resources should be affected by the aggregation of expected quality of life, quantity of life, and need, both within the life of a person and across persons . I then reexamine the specific issue of whether and why differences in expected years of life and quality of life that a scarce resource can provide a disabled (...) and a nondisabled person should affect our allocation decisions. I attend to how the use of the veil of ignorance bears on this issue and also how the conclusions I reach differ in certain ways from my past positions. (shrink)

In this article, I shall present three arguments for thc pcrmissibility 0f physician-assisted suicide (PAS), and then examine several objections 0f 21 "K21nti2m" and non-Kantian nature against them. These are really 0bjcctions against certain types of suicide. I shall focus 0n active PAS (eg., when 21 patient takes 21 lethal drug given by E1 physician, in which case both thc physician and patient are active). I shall assume the patient is 21 competent, responsible, rational agent, who gives his being in (...) physical discomfort (pain, nausea, ctc.) as thc reason for intending his death. I am assuming, therefore, thc pain while 21 sourcc of suffering docs not undermine his rational agency in 21 way that threatens responsibility for choice.] Current legal proposals for permitting PAS focus 0n procedures.. (shrink)

Zeller argued that the ‘innumerable worlds’ mentioned in accounts of Anaximander's system must be an endless succession of single worlds, not an unlimited number of coexistent worlds scattered through infinite space, some always coming into being while others are passing away. Zeller pointed out that a succession of single worlds is grounded in the principles of the system. ‘Things perish into that from which they had their birth… according to the order of Time,’ a cycle of birth, existence, and destruction. (...) A world ends, and the living divine stuff begets a new world to take its place. On the other hand, there is much in the system to contradict the idea of coexistent worlds. Anaximander's successors, Anaximenes, Anaxagoras, and Diogenes, show that this idea is not a necessary consequence of the unlimitedness of the original world-stuff. Nothing in the appearances of Nature suggests it. Anaximander is a monistic hylozoist, whereas Democritus is a pluralist with his innumerable independent atoms producing, by similar processes, independent world-systems in different parts of an infinite void. (shrink)