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.

Conditionalization is a widely endorsed rule for updating one’s beliefs. But a sea of complaints have been raised about it, including worries regarding how the rule handles error correction, changing desiderata of theory choice, evidence loss, self-locating beliefs, learning about new theories, and confirmation. In light of such worries, a number of authors have suggested replacing Conditionalization with a different rule — one that appeals to what I’ll call “ur-priors”. But different authors have understood the rule in different ways, and (...) these different understandings solve different problems. In this paper, I aim to map out the terrain regarding these issues. I survey the different problems that might motivate the adoption of such a rule, flesh out the different understandings of the rule that have been proposed, and assess their pros and cons. I conclude by suggesting that one particular batch of proposals, proposals that appeal to what I’ll call “loaded evidential standards”, are especially promising. (shrink)

Deference principles are principles that describe when, and to what extent, it’s rational to defer to others. Recently, some authors have used such principles to argue for Evidential Uniqueness, the claim that for every batch of evidence, there’s a unique doxastic state that it’s permissible for subjects with that total evidence to have. This paper has two aims. The first aim is to assess these deference-based arguments for Evidential Uniqueness. I’ll show that these arguments only work given a particular kind (...) of deference principle, and I’ll argue that there are reasons to reject these kinds of principles. The second aim of this paper is to spell out what a plausible generalized deference principle looks like. I’ll start by offering a principled rationale for taking deference to constrain rational belief. Then I’ll flesh out the kind of deference principle suggested by this rationale. Finally, I’ll show that this principle is both more plausible and more general than the principles used in the deference-based arguments for Evidential Uniqueness. (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.

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)

Standard decision theory has trouble handling cases involving acts without finite expected values. This paper has two aims. First, building on earlier work by Colyvan (2008), Easwaran (2014), and Lauwers and Vallentyne (2016), it develops a proposal for dealing with such cases, Difference Minimizing Theory. Difference Minimizing Theory provides satisfactory verdicts in a broader range of cases than its predecessors. And it vindicates two highly plausible principles of standard decision theory, Stochastic Equivalence and Stochastic Dominance. The second aim is to (...) assess some recent arguments against Stochastic Equivalence and Stochastic Dominance. If successful, these arguments refute Difference Minimizing Theory. This paper contends that these arguments are not successful. (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)

Evidential Uniqueness is the thesis that, for any batch of evidence, there’s a unique doxastic state that a subject with that evidence should have. One of the most common kinds of objections to views that violate Evidential Uniqueness are arbitrariness objections – objections to the effect that views that don’t satisfy Evidential Uniqueness lead to unacceptable arbitrariness. The goal of this paper is to examine a variety of arbitrariness objections that have appeared in the literature, and to assess the extent (...) to which these objections bolster the case for Evidential Uniqueness. After examining a number of different arbitrariness objections, I’ll conclude that, by and large, these objections do little to bolster the case for Evidential Uniqueness. (shrink)

This essay seeks to illuminate the ethical concerns that animate Richard Rorty's philosophy. I argue that Rorty's ethics foregrounds as its central priority the issue of responsibility and frame Rorty's work as offering us a picture of ethical comportment in a postfoundational, pluralistic milieu, where citizens not only recognize the contingency of their own deepest beliefs but give up any sense of responsibilities owed to nonhuman authorities. To paraphrase Rorty, from any number of occasions, all we have to be responsible (...) to is each other. Yet Rorty goes even further than antiauthoritarianism in ethics. He not only shifts to thinking about ethics in terms of our relations to others; he specifically attunes this ethics to those who are suffering or excluded or merely previously unnoticed. What emerges is an alternative Rorty to the smirking gadfly blithely shrugging off criticism and incapable of inhabiting a position of moral seriousness. (shrink)

This article proposes an approach to understanding life that overcomes reductionist and dualist approaches. Kant’s analysis of the conditions of knowing an organism shows that attempts to explain its teleology and autopoiesis from the interactions of its components is problematic. Based on an analysis by Van de Vijver and colleagues, a co-constitutive relationship between the cognitive activities of the observer and the living features of the organism is described. Using the example of a developmental series, it is shown that within (...) this active relational process, both autopoiesis and teleology of the organism manifest themselves on the mental level of the observer. The Kantian mode of objectification, which refers to the sensually perceptible appearance of an organism, can be supplemented by an active mode of relational objectification that encompasses the life of the organism. The analysis introduces a phenomenological first-person perspective on the study of life "from within", which enables an empirical investigation of the vital properties of an organism. (shrink)

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)

This volume offers a fresh exploration of the parts-whole relations within a power and among powers. While the metaphysics of powers has been extensively examined in the literature, powers have yet to be studied from the perspective of their mereology. Powers are often assumed to be atomic; and yet what they can do--and what can happen to them--is complex. But if powers are simple, how can they have complex manifestations? Can powers have parts? According to which rules of composition do (...) powers compose into powers? Given the centrality of powers in current scientific as well as philosophical thought, recognizing and understanding the ontological differences between atomic and mereologically complex powers is important, for both philosophy and science. The first section of this book explores how powers divide; the second section how powers compose. The final section showcases some specific study cases in the domains of quantum mechanics and psychology. Powers, Parts and Wholes will be of interest to professional philosophers and graduate students working in metaphysics, philosophy of science and logic. (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)

This article argues that to call Hume a conservative is a shorthand label that is at least insecure and at most a distortion. It is not claimed that the label is fanciful or without justification but the argument does serve to raise questions as to its accuracy once it is subject to further inspection and, consequently, to doubt its aptness or utility in capturing what is a key characteristic of Hume’s sociopolitical thought. This argument is constituted as follows. After some (...) preliminary refinement of the topic, part I, in order to establish that the paper is not attacking a ‘straw-man’, identifies, by using Oakeshott as a benchmark, those aspects of Hume’s thought that most securely underwrite attributing the conservative label. Part II constructs an argument to render the conservative label insecure, by drawing attention to the case for Hume as a liberal. Part III outlines the grounds for the further claim that when Hume’s commitment to ‘science’ and his polemics against superstition, and other ‘chimerical’ practices and principles, are taken on board then the stronger case that the label is a distortion can be judged to have substance. (shrink)