Ash and Nerode [2] gave natural definability conditions under which a relation is intrinsically r. e. Here we generalize this to arbitrary levels in Ershov's hierarchy of Δmath image sets, giving conditions under which a relation is intrinsically α-r. e.

We consider the following generalization of the notion of a structure recursive relative to a set X. A relational structure A is said to be a Γ-structure if for each relation symbol R, the interpretation of R in A is ∑math image relative to X, where β = Γ. We show that a certain, fairly obvious, description of classes ∑math image of recursive infinitary formulas has the property that if A is a Γ-structure and S is a further relation on (...) A, then the following are equivalent: For every isomorphism F from A to a Γ-structure, F is ∑math image relative to X, The relation is defined in A by a ∑math image formula with parameters. (shrink)

Name der Zeitschrift: Neue Zeitschrift für Systematische Theologie und Religionsphilosophie Jahrgang: 57 Heft: 1 Seiten: 138-154.

I confess to finding the term ‘supererogation’ ugly and unpronounceable. I am also generally suspicious of technical terms in moral philosophy, since they are vulnerable to self-serving definition and counter-definition, to the point of obscuring whether there is a single phenomenon about which to disagree. It was surely not accidental that J.O. Urmson, in his classic 1958 article that launched the contemporary Anglophone debate, eschewed the technical term in favour of the more familiar concepts of saints and heroes. Since then, (...) however, the term Supererogation has bedded down to encompass a number of more or less clear-cut philosophical debates, one of which concerns precisely the extent to which saintliness and heroism exhaust the supererogatory. And it has to be admitted that the word ‘saint’ has certain theological connotations that might be misleading in a secular philosophical discussion, while the word ‘hero’ has potentially limiting associations with knights and soldiers and other forms of testosterone-driven accomplishment. (shrink)

What role should a citizen's religious convictions play in her political activities? Is she, for example, permitted to decide on the basis of her religious convictions to support laws that criminalize abortion or discourage homosexual relations? Christopher Eberle is deeply at odds with the dominant orthodoxy among political theorists about the relation of religion and politics. His argument is that a citizen may responsibly ground her political commitments on religious beliefs, even if her only reasons for her political commitments (...) are religious in nature. His ideal of citizenship allows citizens to engage in politics without privatizing their religious commitments, and yet does not license mindless and intransigent sectarianism. An inherently controversial book that offers a substantial challenge to political liberalism, it will be read by students and professionals in philosophy, political science, law and religious studies, and general readers seeking insight into the relationship between religious commitments and liberal politics. (shrink)

The words 'rebellion' and 'revolution' have gained renewed prominence in the vocabulary of world politics and so has the question of justifiable armed 'resistance'. In this book Christopher J. Finlay extends just war theory to provide a rigorous and systematic account of the right to resist oppression and of the forms of armed force it can justify. He specifies the circumstances in which rebels have the right to claim recognition as legitimate actors in revolutionary wars against domestic tyranny and (...) injustice, and wars of liberation against wrongful foreign occupation and colonialism. Arguing that violence is permissible only in a narrow range of cases, Finlay shows that the rules of engagement vary during and between different conflicts and explores the potential for irregular tactics to become justifiable, such as non-uniformed guerrillas and civilian disguise, the assassination of political leaders and regime officials, and the waging of terrorist war against civilian targets. (shrink)

For many Americans, the election of Barack Obama as the country's first black president signaled that we had become a post-racial nation - some even suggested that race was no longer worth discussing. Of course, the evidence tells a very different story. And while social scientists are fully engaged in examining the facts of race, normative political thought has failed to grapple with race as an interesting moral case or as a focus in the expansive theory of social justice. Political (...) thought's under participation in the debate over the status of blacks in American society raises serious concerns since the main academic task of political theory is to adjudicate discrepancies between the demands of ideal justice and social realities. Christopher J. Lebron contends that it is the duty of political thought to address the moral problems that attend racial inequality and to make those problems salient to a democratic polity. Thus, in The Color of Our Shame, he asks two major questions. First, given the success of the Civil Rights Act and the sharp decline in overt racist norms, how can we explain the persistence of systemic racial inequality? Second, once we have settled on an explanation, what might political philosophy have to offer in terms of a solution? In order to answer these questions Lebron suggests that we reconceive of racial inequality as a condition that marks the normative status of black citizens in the eyes of the nation. He argues that our collective response to racial inequality ought to be shame. While we reject race as a reason for marginalizing blacks on the basis of liberal democratic ideals, we fail to live up to those ideals - a situation that Lebron sees as a failure of national character. Drawing on a wide array of resources including liberal theory, virtue ethics, history, and popular culture, Lebron proposes a move toward a "perfectionist politics" that would compel a higher level of racially relevant moral excellence from individuals and institutions and enable America to meet the democratic ideals that it has set for itself. (shrink)

The words 'rebellion' and 'revolution' have gained renewed prominence in the vocabulary of world politics and so has the question of justifiable armed 'resistance'. In this book Christopher J. Finlay extends just war theory to provide a rigorous and systematic account of the right to resist oppression and of the forms of armed force it can justify. He specifies the circumstances in which rebels have the right to claim recognition as legitimate actors in revolutionary wars against domestic tyranny and (...) injustice, and wars of liberation against wrongful foreign occupation and colonialism. Arguing that violence is permissible only in a narrow range of cases, Finlay shows that the rules of engagement vary during and between different conflicts and explores the potential for irregular tactics to become justifiable, such as non-uniformed guerrillas and civilian disguise, the assassination of political leaders and regime officials, and the waging of terrorist war against civilian targets. (shrink)

In this article, we review approaches to modeling a connection between spatial and mathematical thinking across development. We critically evaluate the strengths and weaknesses of factor analyses, meta-analyses, and experimental literatures. We examine those studies that set out to describe the nature and number of spatial and mathematical skills and specific connections between these abilities, especially those that included children as participants. We also find evidence of strong spatial-mathematical connections and transfer from spatial interventions to mathematical understanding. Finally, we map (...) out the kinds of studies that could enhance our understanding of the mechanisms by which spatial and mathematical processing are connected and the principles by which mathematical outcomes could be enhanced through spatial training in educational settings. (shrink)

The most arresting aspect of the Scottish Enlightenment is its conception of commercial society as a distinct and distinctive social formation. Christopher Berry explains why Enlightenment thinkers considered commercial society to be wealthier and freer than earlier forms, and charts the contemporary debates and tensions between Enlightenment thinkers that this idea raised. The book analyses the full range of literature on the subject, from key works like Adam Smith's 'Wealth of Nations', David Hume's 'Essays and Treatises on Several Subjects' (...) and Adam Ferguson's 'Essay on the History of Civil Society' to lesser-known works such as Robert Wallace's 'Dissertation on Numbers of Mankind'. (shrink)

The figure of Richard Rorty stands in complex relation to the tradition of American pragmatism. On the one hand, his intellectual creativity, lively prose, and bridge-building fueled the contemporary resurgence of pragmatism. On the other, his polemical claims and selective interpretations function as a negative, fixed pole against which thinkers of all stripes define themselves. Virtually all pragmatists on the contemporary scene, whether classical or "new," Deweyan, Jamesian, or Peircean, use Rorty as a foil to justify their positions. The resulting (...) internecine quarrels and divisions threaten to thwart and fragment the tradition's creative potential. More caricatured than understood, the specter of Rorty is blocking the road of inquiry and future development of pragmatism. Reconstructing Pragmatism moves beyond the Rortyan impasse by providing what has been missing for decades: a constructive, non-polemical account of Rorty's relation to classical pragmatism. The first book-length treatment of Rorty's intellectual debt to the early pragmatists, it establishes his selective appropriations not as misunderstandings or distortions but as a sustained, intentional effort to reconstruct their thinking. Featuring chapters devoted to five key pragmatist thinkers - Peirce, James, Dewey, Royce, and Addams - the book draws on archival sources and the full scope of Rorty's writings to challenge prevailing misconceptions and caricatures. By illuminating the critical resources, still largely untapped, that Rorty offers for articulating classical pragmatism's ongoing relevance, the book reveals limitations in the received images of the classical pragmatists that predominate in current debates and opens up new modes of understanding pragmatism and why it matters today. (shrink)

Kant actively struggles with the problem of how to conceive of God's creative action in relation to human freedom. He comes to the view that human freedom can only be protected if God withdraws in certain ways from the created world. The two pillars of Kant's mature philosophy - transcendental idealism and freedom - are in part shaped and motivated by Kant's need to provide a solution to his theological problem. The medieval and early modern theological tradition conceives of divine (...) action as unlike the action of any created being. When the creature acts, God directly causes this action, but without reducing the creature's freedom. Kant explicitly discusses and rejects this account of divine and human concursus. This rejection has significant and surprising ramifications for Kant's wider philosophy, explaining otherwise incomprehensible claims in his critical philosophy. Christopher J. Insole presents a definitive study in the history of ideas, engaging with a wide range of Kant's texts from 1749 until the early 1800s. Many of these texts have received little or no attention in Kant studies to date. Insole places Kant's thought in relation to numerous historical and traditional positions and illuminates these positions by a close engagement with recent debates in analytical philosophy and systematic theology. Kant is unrelentingly honest when grappling with the difficulty of relating divine and human freedom. This study, of Kant's theological struggle and legacy, goes to the heart of the problem in the modern reception of what the Christian tradition has affirmed about human freedom. As such, the book throws light on one of the defining fault-lines in modern theology and philosophy. (shrink)

A number of cases involving self-locating beliefs have been discussed in the Bayesian literature. I suggest that many of these cases, such as the sleeping beauty case, are entangled with issues that are independent of self-locating beliefs per se. In light of this, I propose a division of labor: we should address each of these issues separately before we try to provide a comprehensive account of belief updating. By way of example, I sketch some ways of extending Bayesianism in order (...) to accommodate these issues. Then, putting these other issues aside, I sketch some ways of extending Bayesianism in order to accommodate self-locating beliefs. Finally, I propose a constraint on updating rules, the "Learning Principle", which rules out certain kinds of troubling belief changes, and I use this principle to assess some of the available options. (shrink)

Representation theorems are often taken to provide the foundations for decision theory. First, they are taken to characterize degrees of belief and utilities. Second, they are taken to justify two fundamental rules of rationality: that we should have probabilistic degrees of belief and that we should act as expected utility maximizers. We argue that representation theorems cannot serve either of these foundational purposes, and that recent attempts to defend the foundational importance of representation theorems are unsuccessful. As a result, we (...) should reject these claims, and lay the foundations of decision theory on firmer ground. (shrink)

Some of the most interesting recent work in formal epistemology has focused on developing accuracy-based approaches to justifying Bayesian norms. These approaches are interesting not only because they offer new ways to justify these norms, but because they potentially offer a way to justify all of these norms by appeal to a single, attractive epistemic goal: having accurate beliefs. Recently, Easwaran & Fitelson (2012) have raised worries regarding whether such “all-accuracy” or “purely alethic” approaches can accommodate and justify evidential Bayesian (...) norms. In response, proponents of purely alethic approaches, such as Pettigrew (2013b) and Joyce (2016), have argued that scoring rule arguments provide us with compatible and purely alethic justifications for the traditional Bayesian norms, including evidential norms. In this paper I raise several challenges to this claim. First, I argue that many of the justifications these scoring rule arguments provide are not compatible. Second, I raise worries for the claim that these scoring rule arguments provide purely alethic justifications. Third, I turn to assess the more general question of whether purely alethic justifications for evidential norms are even possible, and argue that, without making some contentious assumptions, they are not. Fourth, I raise some further worries for the possibility of providing purely alethic justifications for content-sensitive evidential norms, like the Principal Principle. (shrink)

In Hume's Social Philosophy, Christopher J Finlay presents a highly original and engaging reading of David Hume's landmark text, A Treatise of Human Nature, and political writings published immediately after it, articulating a unified view of his theory of human nature in society and his political philosophy. The book explores the hitherto neglected social contexts within which Hume's ideas were conceived. While a great deal of attention has previously been given to Hume's intellectual and literary contexts, important connections can (...) also be made between the fundamentals of Hume's philosophy and the social world in which it was developed. Finlay argues that Hume's unified theory of human nature, conceived in terms of passions, reason and sociability, was meant to account for human nature in its most articulate manifestations, in the commercial and 'polite' social contexts of eighteenth-century Europe. Through careful exegetical study of Hume's analysis of reasoning and the passions, Finlay explores the diverse aspects of sociability which the Treatise of Human Nature invokes. In particular, this study finds in the Treatise an important exploration of the tensions between the selfish motivations of individuals and their propensity to bond with others in complex and diverse kinds of social group. Analysis of Book III of the Treatise and of essays published afterwards shows how the various individualist and social propensities explored through the passions are addressed in Hume's theories of justice, morals and politics. (shrink)

In recognition memory paradigms, emotional details are often recognised better than neutral ones, but at the cost of memory for peripheral details. We previously provided evidence that, when periph...

As there is currently a neo-Aristotelian revival currently taking place within contemporary metaphysics and dispositions, or causal powers are now being routinely utilised in theories of causality and modality, more attention is beginning to be paid to a central Aristotelian concern: the metaphysics of substantial unity, and the doctrine of hylomorphism. In this paper, I distinguish two strands of hylomorphism present in the contemporary literature and argue that not only does each engender unique conceptual difficulties, but neither adequately captures the (...) metaphysics of Aristotelian hylomorphism. Thus both strands of contemporary hylomorphism, I argue, fundamentally misunderstand what substantial unity amounts to in the hylomorphic framework – namely, the metaphysical inseparability of matter and form. (shrink)

Maintaining the coherence of the distinction between nature and artefact has long been central to environmental thinking. By building genomes from scratch out of 'bio-bricks', synthetic biology promises to create biotic artefacts markedly different from anything created thus far in biotechnology. These new biotic artefacts depart from a core principle of Darwinian natural selection – descent through modification – leaving them with no causal connection to historical evolutionary processes. This departure from the core principle of Darwinism presents a challenge to (...) the normative foundation of a number of leading positions in environmental ethics. As a result, environmental ethicists with a commitment to the normative significance of the historical evolutionary process may see synthetic biology as a moral 'line in the sand'. (shrink)

An adequate account of laws should satisfy at least five desiderata: it should provide a unified account of laws and chances, it should yield plausible relations between laws and chances, it should vindicate numerical chance assignments, it should accommodate dynamical and non-dynamical chances, and it should accommodate a plausible range of nomic possibilities. No extant account of laws satisfies these desiderata. This paper presents a non-Humean account of laws, the Nomic Likelihood Account, that does.