According to a recent challenge to Kratzer's canonical contextualist semantics for deontic modal expressions, no contextualist view can make sense of cases in which such a modal must be information-sensitive in some way. Here I show how Kratzer's semantics is compatible with readings of the targeted sentences that fit with the data. I then outline a general account of how contexts select parameter values for modal expressions and show, in terms of that account, how the needed, contextualist-friendly readings might plausibly (...) get selected in the challenge cases. (shrink)

Originally published in Proceedings of the British Academy 60 (1974), 339-359.

The idea of a 'logic of quantum mechanics' or quantum logic was originally suggested by Birkhoff and von Neumann in their pioneering paper [1936]. Since that time there has been much argument about whether, or in what sense, quantum 'logic' can be actually considered a true logic (see, e.g. Bell and Hallett [1982], Dummett [1976], Gardner [1971]) and, if so, how it is to be distinguished from classical logic. In this paper I put forward a simple and natural semantical framework (...) for quantum logic which reveals its difference from classical logic in a strikingly intuitive way, viz. through the fact that quantum logic admits (suitably formulated versions of) the characteristic quantum-mechanical notions of superposition and incompatibility of attributes. That is, precisely the features that distinguish quantum from classical physics also serve, within this framework, to distinguish quantum from classical logic. Some light is shed on the question of whether quantum logic is a genuine logical system by introducing a natural entailment relation for quantum-logical formulas with the implication symbol. The novelty is that, although implication behaves as it should (i.e. the 'deduction theorem' holds), the order of introduction of premises is significant. The fact that a reasonable entailment relation can be formulated for quantum logic supports the view that it is a genuine logical system and not merely an algebraic formalism. (shrink)

I first sketch an account of humility as a character trait in which we are unimpressed with our good, envied, or admired features, achievements, etc., where these lack significant salience for our image of ourselves, because of the greater prominence of our limitations and flaws. I situate this view among several other recent conceptions of humility (also called modesty), dividing them between the inward-directed and outward-directed, distinguish mine from them, pose problems for each alternative account, and show how my understanding (...) of humility captures truths present but exaggerated in several of them. Responding to some problems for my view, including what I call “Driver’s Paradox”(i.e., the strangeness of someone’s proclaiming ‘I’m humble!’), I suggest that some over-ambitious claims about our moral responsibilities may indicate a lack of proper humility. I discuss the relationship of the character trait of humility both to what humiliates and to what humbles, concluding with consideration of the background assumptions against which, and the circumstances in which, humility may reasonably be classified as a moral virtue. (shrink)

Tommie Shelby has offered an influential, carefully stated, and well-argued set of objections to any volitional analysis of racism (VAR) as consisting centrally in certain forms of race-based disregard. Here I hope to defend aspects of VAR by analyzing, evaluating, and sometimes countering several of his major contentions, which have stood unchallenged in the literature over more than two decades. First, I sketch and respond to his Methodological objection to VAR, which criticizes VAR's reliance on language and linguistic intuitions; then (...) to a Psychological objection, which suggests that VAR implausibly distances an agent's intentions from her beliefs; and, finally, to a Psychopathological objection, which holds that VAR requires treating as unproblematic some psychological states better seen as aberrant. The following section treats three subtle counterexamples Shelby uses to challenge VAR's core contentions about what's necessary and what's sufficient for racism. I close with some gestures toward what I see as a promising approach, very different from his, to studying these topics. (shrink)

In this second of two essays responding to critical discussion of my " Divine Hiddenness and Human Reason," I show how an ' accommodationist ' strategy can be used to defuse objections that were not exposed as irrelevant by the first essay. This strategy involves showing that the dominant concern of reasons for divine withdrawal can be met or accommodated within the framework of divine - human relationship envisaged by the hiddenness argument. I conclude that critical discussion leaves the argument (...) very much alive and kicking, and indeed strengthened as it moves into its second decade of life. (shrink)

One strategy for blocking Chalmers's overall case against physicalism has been to deny his claim that showing that phenomenal properties are in some sense physical requires an a priori entailment of the phenomenal truths from the physical ones. Here I avoid this well-trodden ground and argue instead that an a priori entailment of the phenomenal truths from the physical ones does not require an analysis in the Jackson/Chalmers sense. This is to sever the dualist's link between conceptual analysis and a (...) priori entailment by showing that the lack of the former does not imply the absence of the latter. Moreover, given the role of the argument from conceptual analysis in Chalmers's overall case for dualism, undermining that argument effectively undermines that case as a whole in a way that, I'll argue, undermining the conceivability arguments as stand-alone arguments does not. (shrink)

In this brief reply I argue that criticisms of the hiddenness argument recently published in this journal by Imran Aijaz and Markus Weidler are without force. As will be shown, their critique of my conceptual version of the argument misses the mark by missing crucial distinctions. Their critique of my analogical version of the argument misunderstands that argument and also misapplies the work of W. H. Vanstone. And their critique of my view that belief is necessary for a certain kind (...) of relationship with God overlooks both some central features of that kind of relationship and some good reasons for not accepting acceptance or anything similarly nonbelieving as a substitute for belief in this context. (shrink)

The paper defends the thesis that for S to V intentionally is for S to V as (in the way) S intended to. For the normal agent the relevant sort of intention is an intention that one's intention to V generate an instance of one's V-ing along some (usually dimly-conceived) productive path. Such an account allows us to say some actions are intentional to a greater or lesser extent (a desirable option for certain cases of wayward causal chains), preserves the (...) intuitive link between intention and intentionally, and supports the common sense view that the concept of intending is more basic than those of acting with an intention and of acting intentionally. The remainder of the paper responds to certain apparent counter-examples offered by Audi, Harman, and Bratman. In the course of this, I discuss connections between intending to V and hoping to V, and I argue that one can intend to do what one doesn't expect to do, and that one always intends what one attempts. (shrink)

Drawing chiefly on recent sources, in Part One I sketch an untraditional way of articulating what I claim to be central elements of traditional Catholic morality, treating it as based in virtues, focused on the recipients (“patients”) of our attention and concern, and centered in certain person-to-person role-relationships. I show the limited and derivative places of “natural law,” and therefore of sin, within that framework. I also sketch out some possible implications for medical ethics of this approach to moral theory, (...) and briefly contrast these with the influential alternative offered by the “principlism” of Beauchamp and Childress. In Part Two, I turn to a Catholic understanding of the nature and meaning of human suffering, drawing especially on writings and addresses of the late Pope John Paul II. He reminds us that physical and mental suffering can provide an opportunity to share in Christ's salvific sacrifice, better to see the nature of our earthly vocation, and to reflect on the dependence that inheres in human existence. At various places, and especially in my conclusion, I suggest a few ways in which this can inform bioethical reflection on morally appropriate responses to those afflicted by physical or mental pain, disability, mental impairment, disease, illness, and poor health prospects. My general point is that mercy must be informed by appreciation of the person's dignity and status. Throughout, my approach is philosophical rather than theological. (shrink)

At the end of the Sixth Book of the Republic Plato explains the Idea of Good by means of the Figure of the Sun. As the sun is the cause both of the becoming of that which is subject to becoming and of our apprehension of it and of its changes through the eye, so the idea of good is the cause of the being of that which is and also of our knowledge of it. As the sun is beyond (...) γxs22EFνεσις, so the Idea of Good is beyond Being. Glaucon says he does not understand. The simile is further elucidated by means of a line, divided into two parts, of which one stands for the νιητxs22EFν γxs22EFνος τε καxs22EF τxs22EFπος, where the Idea of Good bears rule, the other for the xs22EFρατxs22EFν γxs22EFνος τε καxs22EF τxs22EFπος, over which the sun is lord. The line is to be divided unequally , and subdivided in the same proportions. Thus we get a line consisting of four parts in the ratio 4 : 6 : : 6 : 9. Let us call the four parts A B C D respectively, A being the smallest, D the greatest, B and C necessarily equal. A stands for εxs1F31κxs22EFνες, shadows, images in water and on polished surfaces, and the like: B stands for animals, plants, and the creations of human industry: C for the objects of that enquiry in which the objects denoted by B are treated as images, i.e. mathematical enquiries: D for the objects apprehended by dialectic, the Ideas themselves. The first equation asserted is—The objects of opinion : objects of knowledge : : representation : original . There follows an explanation of the inferiority of mathematical to philosophical reasoning, and an explanation of the statement that the objects denoted by B are used as images or symbols by the enquiry concerned with C; as a result of which Glaucon perceives that the general distinction between C and D is that between the τxs22EFχναι , i.e. those sciences in which the Guardians were to be educated, and Philosophy or Dialectic. Finally a special πxs22EFθημα or affection of the soul is allotted to each of the four divisions of the line, to A εxs1F31κασxs22EFα, to B πxs22EFστις, to C διxs22EFνοια, to D νxs22EFησις, each πxs22EFθημα being clear in the same degree in which the objects it is concerned with are true. (shrink)

This essay rebuts Gary Seay's efforts to show that committing euthanasia need not conflict with a physician's professional duties. First, I try to show how his misunderstanding of the correlativity of rights and duties and his discussion of the foundation of moral rights undermine his case. Second, I show aspects of physicians' professional duties that clash with euthanasia, and that attempts to avoid this clash lead to absurdities. For professional duties are best understood as deriving from professional virtues and the (...) commitments and purposes with which the professional as such ought to act, and there is no plausible way in which her death can be seen as advancing the patient's medical welfare. Third, I argue against Prof. Seay's assumption that apparent conflicts among professional duties must be resolved through "balancing" and argue that, while the physician's duty to extend life is continuous with her duty to protect health, any duty to relieve pain is subordinate to these. Finally, I show that what is morally determinative here, as throughout the moral life, is the agent's intention and that Prof. Seay's implicitly preferred consequentialism threatens not only to distort moral thinking but would altogether undermine the medical (and any other) profession and its internal ethics. (shrink)

A key idea in both Frege's development of arithmetic in theGrundlagen[7] and Zermelo's 1904 proof [10] of the well-ordering theorem is that of a “type reducing” correspondence between second-level and first-level entities. In Frege's construction, the correspondence obtains betweenconceptandnumber, in Zermelo's (through the axiom of choice), betweensetandmember. In this paper, a formulation is given and a detailed investigation undertaken of a system ℱ of many-sorted first-order logic (first outlined in the Appendix to [6]) in which this notion of type reducing (...) correspondence is accorded a central role and which enables Frege's and Zermelo's constructions to be presented in such a way as to reveal their essential similarity. By adapting Bourbaki's version of Zermelo's proof of the well-ordering theorem, we show that, within ℱ, any correspondencecbetween second-level entities (here calledconcepts) and first-level ones (here calledobjects) induces a well-ordering relationW(c) in a canonical manner. We shall see that, whencis the “Fregean” correspondence between concepts and cardinal numbers,W(c) is (the well-ordering of) the ordinalω+ 1, and whencis a “Zermelian” choice function on concepts,W(c) is a well-ordering of the universal concept embracing all objects.In ℱ an important role is played by the notion ofextensionof a concept. To each conceptXwe assume there is assigned an objecte(X) in such a way that, for any conceptsX, Ysatisfying a certain predicateE, we havee(X) =e(Y) iff the same objects fall underXandY. (shrink)

Throughout the history of philosophy there has been a sustained interest in the concepts of knowledge, truth and meaning; interest in the concepts of error, falsity and nonsense, on the other hand, has been intermittent and spasmodic. Error, for example, has suffered at the expense of knowledge to such an extent that sometimes its very existence has been denied, or it has been explained away as being merely the absence of or privation of knowledge; many theories of truth are so (...) constructed that no place can be found for falsity, and theories about what constitutes making sense pay, on the whole, little heed to what constitutes nonsense. In this paper I hope to do something to redress the balance so far as error is concerned. My remarks are prompted by the hope that, just as we may best understand health through the study of disease, so a consideration of error or failure may throw light on knowledge or success. It is clearly not very informative to say of error, falsity and nonsense that they are merely the absence of knowledge, truth and sense; indeed it is just as laconic as a proposed medical definition of disease as the absence of health. (shrink)

We argue that Parfit's "Triviality Objection" against some naturalistic views of normativity is not compelling. We think that once one accepts, as one should, that identity statements can be informative in virtue of their pragmatics and not only in virtue of their semantics, Parfit's case against naturalism can be overcome.

The infinitesimal methods commonly used in the 17th and 18th centuries to solve analytical problems had a great deal of elegance and intuitive appeal. But the notion of infinitesimal itself was flawed by contradictions. These arose as a result of attempting to representchange in terms ofstatic conceptions. Now, one may regard infinitesimals as the residual traces of change after the process of change has been terminated. The difficulty was that these residual traces could not logically coexist with the static quantities (...) traditionally employed by mathematics. The solution to this difficulty, as it turns out, is to regard these quantities asalso being subject to (a form of) change, for then they will have the same nature as the infinitesimals representing the residual traces of change, and will become,ipso facto, compatible with these latter.In fact, the category-theoretic models which realize the Principle of Infinitesimal Linearity may themselves be regarded as representations of a general concept of variation (cf. Bell (1986)). While the static set-theoretical models represent change or motion by making a detour through the actual (but static) infinite, the varying category-theoretic models enable such change to be representeddirectly, thus permitting the introduction of geometric infinitesimals and, as we have attempted to demonstrate in this paper, the virtually complete incorporation of the methods of the early calculus.It is surely a remarkable — even an ironic — fact that the contradiction between the flux of the objective world and the stasis of mathematical entities has found its resolution in category theory, a branch of mathematics commonly, and, as one now sees, mistakenly, regarded as the summit of gratuitous abstraction. (shrink)

A. Either God can create a stone which He cannot lift, or He cannot create a stone which He cannot lift. If God can create a stone which He cannot lift, then He is not omnipotent. If God cannot create a stone which He cannot lift, then He is not omnipotent. Therefore, God is not omnipotent.In a paper published in Analysis I tried to show that any attempt to find something wrong with all arguments of the general form of A (...) above, any attempt to resolve the “paradox,” must fail, that the reason these attempts must fail is that at least some arguments of this form are essentially sound, and that the only thing which makes these arguments seem paradoxical, their conclusion to the effect that God is not omnipotent, is, like at least some versions of the arguments to this conclusion, quite correct. (shrink)

The definition of acedia presents unique conceptual problems among the eight Evagrian logismoi. Its descriptions are so complex and varied as to render the concept seemingly incoherent. This article argues that the conceptual unity of acedia has been obscured by the translation of Evagrian logismoi into the ‘deadly sins’ tradition, resulting in a category error. Acedia is more properly understood, not as a psychological state or a sin, but rather as an array of demonic temptations with the unifying end-goal of (...) interrupting the anchoritic ideal of sustained contemplation. (shrink)

In this paper we study the variety of order Hilbert algebras, which is the equivalent algebraic semantics of the order implicational calculus of Bull.

This essay applies to the morality of lying and other deception a sketch of a kind of virtues-based, input-driven, role-centered, patient-focused, ethical theory. Among the questions treated are: What is wrong with lying? Is it always and intrinsically immoral? Can it be correct, as some have vigorously maintained, that lying is morally wrong in some circumstances where other forms of deliberate dissimulation are not? If so, how can that be? And how can it be that lying to someone is immoral (...) when other, harsher ways of treating her are permissible? The essay examines several responses to the first question, and suggests that lying violates morality as an excessive departure from the role-derived virtues of charity and justice: the liar wills another person the evil of false belief precisely in the proposition for which the speaker offers her assurance and takes special responsibility in asserting. So conceived, lying is an especially egregious form of treachery and degrading manipulation of another person. Appeal is then made to the gravity inherent in lying so conceived to suggest ways of answering the other questions which would support the traditional Augustinian claim that lying is inherently impermissible and ineligible in circumstances where other forms of deliberate deception may not be, and even in situations where violent attack may be permissible.At the end, a taxonomy of more and less rigorist positions of lying is offered. A tentative proposal is made that, while consistent with the traditional Augustinian rigorist position that Iving is always immoral, nevertheless has some features that may slightly soften that view’s practical application. The proposed view does this in a way similar to that in which allowing moral dilemmas may soften it, for allowing dilemmas means there may be cases where an act of a type always immoral may still be more eligible than any alternative. However, it is maintained that the view here proposed need not countenance genuine dilemmas. (shrink)

I here respond to several points in Faucher and Machery’s vigorous and informative critique of my volitional account of racism (VAR). First, although the authors deem it a form of "implicit racial bias," a mere tendency to associate black people with "negative" concepts falls short of racial "bias" or prejudice in the relevant sense. Second, such an associative disposition need not even be morally objectionable. Third, even for more substantial forms of implicit racial bias such as race-based fear or disgust, (...) Faucher and Machery offer no account or explanation of when we should consider these racist, in whom, in what respect(s), or why. So, findings of implicit racial bias pose no clear objection to VAR. Fourth, because VAR allows not only racial hate, but also callous indifference, disdain, and other forms of racially driven disregard, to be racist,VAR is not "psychologically monist." Fifth, as VAR allows racist attitudes to be immoral in more than one way, offending against both the moral virtues of benevolence and justice, VAR is not "morally monist" either. I also reveal problems with some of Faucher and Machery’s other claims: Faucher and Machery take too narrow a conception of the types of psychology that can contribute to understanding racism; the internal complexity of hatred, which they approvingly mention, is irrelevant to VAR’s truth and undermines part of their criticism of VAR; whether some forms of racial bias are "racial ills" is irrelevant to VAR, which only analyzes racism; over-attention to implicit racial bias may cloak or exacerbate some of our society’s racial ills, or even constitute a new one. I conclude by noting that Faucher and Machery are not just critics of VAR but also allies of VAR in important controversies against those who insist racism lies primarily in social structures and institutions. (shrink)

In this article I state concisely the central features of a new logical problem of evil developed elsewhere and take account of a response to this problem recently published in this journal by Jerome Gellman. I also reflect briefly on how theology can play a role in such philosophical discussions.

: I argue that for Aquinas philosophy is a necessary tool of theology and that philosophy is not changed by its theological context. Rather, the subalternation of disciplines results in a reciprocal relation between philosophy and theology. This is understood in terms of the distinction between what is better known in itself and what is better known to us. This view is defended by (1) reinterpreting Aquinas' use of the metaphor of the water of philosophy being transformed into the wine (...) of theology; and (2) his position that the theological use of philosophy is an instance of grace perfecting nature. (shrink)

This study brings light to the concepts of State and Government in the thought of Marsilio de Padua pointing out to profoundly modern institutions present in the reflection of this medieval philosopher. We attempt to show that Marsilio de Padua reflects based on Aristotle´s categories, but proposes a State and Government conception different from that common place of medieval politics as he insists on the need of the popular consent as a criterion of political legitimacy. -/- O estudo explicita os (...) conceitos de Estado e de Governo no pensamento de Marsílio de Pádua apontando as intuições profundamente modernas presentes na reflexão desse filósofo medieval. Procuramos mostrar que Marsílio reflete com categorias aristotélicas, mas propõe uma concepção de Estado e de Governo que se distancia do lugar comum da reflexão política medieval ao insistir na necessidade do consentimento dos súditos como critério de legitimidade política. (shrink)

This paper addresses two related questions. First, what is involved in giving a distinctively realist and naturalist construal of an area of discourse, that is, in so much as stating a distinctively realist and naturalist position about, for example, content or value? I defend a condition that guarantees the realism and naturalism of any position satisfying it, at least in the case of positions on content, but perhaps in other cases as well. Second, what sorts of considerations render a distinctively (...) realist and naturalist position more plausible than its irrealist and non-naturalist rivals? The answer here focuses again on theories of content and is wholly negative. I argue that the standard array of arguments offered in support of realist and naturalist theories in fact provide equal support for a host of irrealist and non-naturalist ones. Taken together, these considerations reveal an important gap in the recent philosophical literature on content. The challenge to proponents of putatively realist and naturalist theories is to insure that those theories so much as state distinctively realist and naturalist positions and then to identify arguments that support what is distinctively realist and naturalist about them. (shrink)