We prove that the finite-model version of arithmetic with the divisibility relation is undecidable . Additionally we prove FM-representability theorem for this class of finite models. This means that a relation R on natural numbers can be described correctly on each input on almost all finite divisibility models if and only if R is of degree ≤0′. We obtain these results by interpreting addition and multiplication on initial segments of finite models with divisibility only.

Alison Denham examines the ways in which our engagement with literary art, and metaphorical discourse in particular, informs our moral beliefs. She considers to what extent moral and metaphorical discourses are capable of truth or falsehood, warrant or justification, and how it is that we understand these discourses. This vital new study offers a fresh view of the nature of the moral and the metaphorical, and the relations between art and morality.

One of the ways in which a poet may show his quality is by discrimination and originality in his choice of adjectives. Poetry likes to adorn the bare noun; a noun such as ‘the sky’ calls out for an attribute. But in practice the poet has to take care to avoid the cliche. He can seldom write ‘the blue sky’; even ‘the azure sky’ has become trite. He has to search for the epithet which will be both apt and original.

Abstract This chapter addresses the meta-ethical and psychological implications of Murdoch’s epistemic internalism—her claim that moral responsiveness is a condition of reliable and accurate moral evaluations. Part 1 examines Murdoch’s view that moral judgments feature a quasi-experiential phenomenology analogous to that of certain perceptual ones. Focussing on the phenomenology of our perception-based judgments of certain aspectual properties (e.g., pictorial and musical ones) it argues that such judgments support both Murdoch’s analogy and the internalism she takes it to imply. In Part (...) 2 this chapter considers Murdoch’s internalism as a psychological thesis, assessing it in view of several empirical studies of psychopathic subjects. It argues that the psychopath’s distinctive complex of cognitive and motivational deficits supports Murdoch’s conviction that moral judgment and moral motivation are interdependent. Just as Murdoch believed, many of our ordinary, non-pathological moral beliefs seem to be the natural progeny of our responsiveness to other persons, and so inherit the intrinsic power that others have to move us. (shrink)

This chapter explores the cognitive and moral significance of the kind of imaginative experience poetry offers. It identifies two forms of imaginative experience that are especially important to poetry: ‘experiencing-as’ and ‘experience-taking’. Experiencing-as is ‘inherently first-personal, embodied, and phenomenologically characterized’ while in experience-taking one ‘takes the perspective of another, simulating some aspect or aspects of his psychology as if they were his own’. Through a sensitive and probing reading of Paul Celan’s Psalm, the chapter shows the role these two forms (...) of experience play in producing the unique form of ethical and epistemic value poetry can bear. The chapter’s argument for this has important implications for our understanding of the poetic imagination and nature of our experience of meaning in poetic contexts. (shrink)

'PERHAPS WHAT is inexpressible (what I find mysterious and am not able to express)', wrote Wittgenstein, 'is the background against which whatever I could express has its meaning'. Wittgenstein's remark is a useful reminder to all who attempt to write about the nature and the value of art, for there our powers of expression often seem inadequate to the phenomena we aim to describe. In such cases it is natural to direct attention to the 'background' of aesthetic experience itself. In (...) consequence, many philosophical elucidations of art works will make good sense only to whose who are already engaged with them on their own terms—engaged with their distinctive character and forms. That this is so is perhaps most evident when the philosopher's target is the art of music. Roger Scruton's latest contribution to philosophical aesthetics, The Aesthetics of MusIc, is guided by a deep appreciation of the background of musical experience and he often allows music to speak for itself, through musical example and illustration. This study is exceptionally, if not uniquely, informed by a wide and thorough acquaintance with its subject matter, and it is commendably replete with references to, andmusic examples illustrating specific compositions. (shrink)

Believing that there is still something to be said about the early history of clausulae in Latin prose, I set myself to trace the practice of the early orators, then that of the Rhetorica ad Herennium, accepting its conventional dating to 86–82 B.C., and lastly that of Cicero in De Inventione, assuming it to be roughly contemporary with the ad Herennium, and in his early speeches. But clausula-study itself, besides shedding light on the methods of composition used by the still (...) unidentifiable Auctor ad Herennium, cast doubts on the conventional dating of his work. I gave a brief outline of my conclusions in C.R., N.S. vi , 134–6.1 propose to attempt here a detailed justification of those relating to the date of the work, with a few modifications of some points. (shrink)

Ib. 511 sq.lapsuramque domum subeas, ut sanguis Aleuae,Stella Leoprepidae cum fuit aequa uiro.

This article attempts to map the broad ethical and legal contours of global child health realities. Its interest is in international duties to reduce disparities in the health of children. Specifically, it inquires into loci of collective rights and responsibilities in this context. Clarity on the sources of this responsibility and the nature of such rights will, it is hoped, contribute to enhanced and sustained action to attenuate these inequalities. A review and critique of the current topography of global health (...) ethics is followed by an analysis of international human rights law as it pertains to global health, with a particular focus on the legal dimensions of child health outcomes. Thus grounded, the article seeks to build conceptual synergies between public health ethics and human rights paradigms to underwrite collective action on global child health disparities. (shrink)