1. Causal knowledge is an indispensable element in science. Causal assertions are embedded in both the results and the procedures of scientific investigation. 2. It is therefore worthwhile to investigate the meaning of causal statements and the ways in which we can arrive at causal knowledge.

On Kratzer’s canonical account, modal expressions (like “might” and “must”) are represented semantically as quantifiers over possibilities. Such expressions are themselves neutral; they make a single contribution to determining the propositions expressed across a wide range of uses. What modulates the modality of the proposition expressed—as bouletic, epistemic, deontic, etc.—is context.2 This ain’t the canon for nothing. Its power lies in its ability to figure in a simple and highly unified explanation of a fairly wide range of language use. Recently, (...) though, the canon’s neat story has come under attack. The challenge cases involve the epistemic use of a modal sentence for which no single resolution of the contextual parameter appears capable of accommodating all our intuitions.3 According to these revisionaries, such cases show that the canonical story needs to be amended in some way that makes multiple bodies of information relevant to the assessment of such statements. Here I show that how the right canonical, flexibly contextualist account of modals can accommodate the full range of challenge cases. The key will be to extend Kratzer’s formal semantic account with an account of how context selects values for a modal’s.. (shrink)

‘Unfair to Facts’ is a follow-up on Ch. 5, addressing objections Peter Strawson raised against Austin’s view of truth as a description of the conditions that must be satisfied if we are to say of a statement that it is true. Austin addresses the objection that his description of these conditions is due to a misunderstanding about the use of ‘fact’, arguing, against Strawson, that facts are not pseudo-entities and that the notion of ‘fitting the facts’ is not a useless (...) notion. (shrink)

The problem of Divine hiddenness, or the hiddenness problem, is more and more commonly being treated as independent of the problem of evil, and as rivalling the latter in significance. Are we in error if we acquiesce in these tendencies? Only a careful investigation into relations between the hiddenness problem and the problem of evil can help us see. Such an investigation is undertaken here. What we will find is that when certain knots threatening to hamper intellectual movement are unravelled, (...) the hiddenness problem emerges as a contender in its own right—one that may generate serious difficulties for theism regardless of conclusions drawn concerning the force of the problem of evil. (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)

Some Christian philosophers wonder whether a God really would oppose reasonable nonbelief. Others think the answer to the problem of reasonable nonbelief is that there isn’t any. Between them, Douglas V. Henry and Robert T. Lehe cover all of this ground in their recent responses to my work on Divine hiddenness. Here I give my answers to their arguments.

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)

Durante los últimos años ha habido un creciente interés por parte de físicos y matemáticos en el estudio de problemas que surgen al tratar de comprender cuestiones de biología. Por otra parte los avances en las técnicas experimentales están permitiendo obtener una gran cantidad de información sobre los mecanismos que emplean las células en su funcionamiento. En este artículo se describen algunas líneas de investigación en matemáticas cuyo estudio ha sido motivado por el estudio de problemas biológicos.

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)

This work extend to residuated lattices the results of [ 7 ]. It also provides a possible generalization to this context of frontal operators in the sense of [ 9 ]. Let L be a residuated lattice, and f : L k → L a function. We give a necessary and sufficient condition for f to be compatible with respect to every congruence on L . We use this characterization of compatible functions in order to prove that the variety of (...) residuated lattices is locally affine complete. We study some compatible functions on residuated lattices which are a generalization of frontal operators. We also give conditions for two operations P ( x , y ) and Q ( x , y ) on a residuated lattice L which imply that the function $${x \mapsto min\{y \in L : P(x, y) \leq Q(x, y)\}}$$ when defined, is equational and compatible. Finally we discuss the affine completeness of residuated lattices equipped with some additional operators. (shrink)

Consider the following well-known result from the theory of normed linear spaces ([2], p. 80, 4(b)): (g) the unit ball of the (continuous) dual of a normed linear space over the reals has an extreme point. The standard proof of (~) uses the axiom of choice (AG); thus the implication AC~(w) can be proved in set theory. In this paper we show that this implication can be reversed, so that (*) is actually eq7I2valent to the axiom of choice. From this (...) we derive various corollaries, for example: the conjunction of the Boolean prime ideal theorem and the Krein-Milman theorem implies the axiom of choice, and the Krein-Milman theorem is not derivable from the Boolean prime ideal theorem. (shrink)

We are witnessing at present a substantial efflorescence of the view that there are and must necessarily be fundamental differences between the methods—and especially the types of explanation—appropriate to the social sciences on the one hand and those appropriate to the natural sciences on the other. New and ever more subtle arguments seeking to re-establish a Geisteswissenschaften vs. Naturwissenschaften distinction are flowing from scholarly presses in ever greater volume. The works cited in footnote one are a mere sample just of (...) recent books which, while diverse to the point of contradiction in some respects, have as their common underlying theme the defense of such a methodological duality. (shrink)

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)

1. In his recent edition of the De Mysteriis, Mr. D. M. MacDowell has advanced the hypothesis that Andocides, contrary to the generally accepted view, was not guilty of mutilating the Hermae, but guilty of parodying the Mysteries; that, even after he had told what he knew about the former affair, he was kept in prison until, eventually, he confessed to the latter, incriminating, amongst others, his father Leogoras, to gain immunity for himself; and that finally, released and repentant, he (...) helped his father to avoid prosecution. These conclusions are reached in an ingeniously argued series of appendices, in which the author displays a refreshing scepticism towards the evidence of Thucydides. (shrink)

William Alston's Perceiving God: The Epistemology of Religious Experience is a most significant contribution to the philosophy of religion. The product of 50 years' reflection on its topic , this work provides a very thorough explication and defence of what Alston calls the ‘mystical perceptual practice’ – the practice of forming beliefs about the Ultimate on the basis of putative ‘direct experiential awareness’ thereof . Alston argues, in particular, for the rationality of engaging in the Christian form of MP . (...) On his view, those who participate in CMP are justified in forming beliefs as they do because their practice is ‘socially established’, has a ‘functioning overrider system’ and a ‘significant degree of self-support’; and because of the ‘lack of sufficient reasons to take the practice as unreliable’. (shrink)

Christian philosophers have engaged naturalism in three main ways: direct refutation; systematic comparison; and sustained development of compelling alternative accounts. While all of these options have value, I argue that it is, and especially, that are most likely to win converts, and that we are witnessing an encouraging strategic shift in that direction. Options and bring Christian philosophers into closer dialogue with their naturalistic counterparts, building mutual respect and a greater opportunity for Christian philosophers to gain a full and fair (...) hearing. This points to a bright future for Christian philosophy. (shrink)

One of the strangest of the many strange habits of philosophers, which mark them out as the Ishmaels of the scientific world, is their refusal to agree as to the precise meaning of the words they use. No philosopher, it seems, is bound by the definitions given by predecessors or contemporaries of even the most central terms: each has to define his terms for himself. The resulting situation certainly lends itself to ridicule and caricature, as in the legend of the (...) theological disputants who arrived after long argument at the conclusion that when the one said ‘God’ he meant what the other meant when he said ‘Devil.’ Still it is probable that this idiosyncrasy of philosophers has some real ground in the special nature of the task on which they are engaged, and is not a mere exhibition of aimless malice or sheer incompetence. Whether that is so or not, one of the consequences of this situation is that the titles of philosophic discourses are apt to be singularly unilluminating: as an indication of the problem to be raised they are, to say the least, highly ambiguous. How the reader may understand the title of this paper I do not know; but the question which I had in mind in choosing it was this. (shrink)

This article is a clarification of different procedures in natural deduction: universal instantiation, Universal generalisation, Existential generalisation, And existential instantiation. The author discusses rules concerning universal generalisation from copi's "symbolic logic". (staff).

There are human beings whose psychological capacities are rivalled or exceeded by many non-human animals; such humans are often referred to as 'marginal cases'. R G Frey has argued that there is no secure, non-arbitrary way of morally distinguishing between marginal humans and non-human animals. Hence, if the benefits of vivisection justify such painful and lethal procedures being performed on animals, so is the vivisection of marginal humans justified. This is a conclusion Frey is driven to with 'great reluctance', but (...) which he can see no way to avoid. This paper points out a feature of the condition of marginal humans unnoticed by Frey and his critics: such humans have suffered a tragic harm. It points towards an analysis of this harm, in terms of counterfactuals holding for marginal humans but not for psychologically equivalent animals. Finally, it discusses the moral implications of the harm that such humans have suffered, and argues that it serves as the basis of a defence for preferring humans to non-humans in cases of morally inescapable conflict. (shrink)