Permissivism says that for some propositions and bodies of evidence, there is more than one rationally permissible doxastic attitude that can be taken towards that proposition given the evidence. Some critics of this view argue that it condones, as rationally acceptable, sets of attitudes that manifest an untenable kind of arbitrariness. I begin by providing a new and more detailed explication of what this alleged arbitrariness consists in. I then explain why Miriam Schoenfield’s prima facie promising attempt to answer the (...) Arbitrariness Objection, by appealing to the role of epistemic standards in rational belief formation, fails to resolve the problem. Schoenfield’s strategy is, however, a useful one, and I go on to explain how an alternative form of the standards-based approach to Permissivism – one that emphasizes the significance of the relationship between people’s cognitive abilities and the epistemic standards that they employ – can respond to the arbitrariness objection. (shrink)

The debate between Uniqueness and Permissivism concerns whether a body of evidence sometimes allows multiple doxastic attitudes towards a proposition. An important motivation for Uniqueness is the so-called ‘arbitrariness argument,’ which says that Permissivism leads to some unacceptable arbitrariness with regard to one's beliefs. An influential response to the argument says that the arbitrariness in beliefs can be avoided by invoking epistemic standards. In this paper, I argue that such a response to the arbitrariness argument is unsuccessful. Then I defend (...) a new response: contrary to common conception, the arbitrariness resulted by Permissivism is acceptable. The basic idea is that the arbitrariness resulted by Permissivism is analogous to the arbitrariness in permissive actions and the latter arbitrariness is intuitively acceptable. I answer three possible objections against this analogy, which are all motivated by the thought that beliefs aim at the truth. In addressing the last objection, I draw inspiration from the recent debate on transformative experience. (shrink)

There are two kinds of time-bias: near-bias and future-bias. While philosophers typically hold that near-bias is rationally impermissible, many hold that future-bias is rationally permissible. Call this normative hybridism. According to arbitrariness objections, certain patterns of preference are rationally impermissible because they are arbitrary. While arbitrariness objections have been levelled against both near-bias and future-bias, the kind of arbitrariness in question has been different. In this paper we investigate whether there are forms of arbitrariness that are common to both (...) kinds of preferences, and hence whether there are versions of the arbitrariness objection that are objections both to near-bias and future-bias. If there are, then this might go some way towards undermining normative hybridism and to defending a thorough-going time-neutralism. (shrink)

Contents: Preface VII; Introduction 1; 1. The General Framework 5; 2. Some Standard Systems 61; 3. Systems in General 147; 4. Non-Standard Systems 177; Bibliography 210; General Index 215; Index of Symbols 219-220.

This article explores the connection between Boolean-valued class models of set theory and the theory of arbitrary objects in roughly Kit Fine’s sense of the word. In particular, it explores the hypothesis that the set-theoretic universe as a whole can be seen as an arbitrary entity. According to this view, the set-theoretic universe can be in many different states. These states are structurally like Boolean-valued models, and they contain sets conceived of as variable or arbitrary (...) class='Hi'>objects. (shrink)

ABSTRACT: Proponents of the ‘Threshold View’ have held that to believe a proposition is to be sufficiently confident of the proposition’s truth, but that there is no sharp cutoff between degrees of confidence that constitute belief and degrees of confidence that do not. Brian Weatherson has objected that no plausible account of vagueness can support this view. In this paper, I reply to Weatherson’s objection. Along the way, I identify a way in which one might hope to maintain the Threshold (...) View without a fuzzy threshold, and I reformulate the Threshold View to accommodate fuzzy thresholds without begging substantive questions about vagueness. -/- RÉSUMÉ : D’après la «théorie du seuil», croire une proposition, c’est être suffisamment sûr de la vérité de cette proposition, bien qu’il n’y ait pas de limite nette entre les degrés de certitude qui constituent une croyance et ceux qui n’en constituent pas une. Pour Brian Weatherson, cette thèse ne peut être appuyée sur aucune théorie plausible du vague. Dans cet article, je réponds à Weatherson et propose une reformulation de la théorie du seuil qui contient des seuils flous sans engager des présupposés controversables en théorie du vague. J’identifie également une façon de conserver la théorie sans avoir un seuil flou. (shrink)

Building on the seminal work of Kit Fine in the 1980s, Leon Horsten here develops a new theory of arbitrary entities. He connects this theory to issues and debates in metaphysics, logic, and contemporary philosophy of mathematics, investigating the relation between specific and arbitrary objects and between specific and arbitrary systems of objects. His book shows how this innovative theory is highly applicable to problems in the philosophy of arithmetic, and explores in particular how (...) class='Hi'>arbitrary objects can engage with the nineteenth-century concept of variable mathematical quantities, how they are relevant for debates around mathematical structuralism, and how they can help our understanding of the concept of random variables in statistics. This fully worked through theory will open up new avenues within philosophy of mathematics, bringing in the work of other philosophers such as Saul Kripke, and providing new insights into the development of the foundations of mathematics from the eighteenth century to the present day. (shrink)

This paper concerns the apparent fact — discussed by Sinan Dogramaci and Brian Weatherson — that inductive reasoning often interacts in disastrous ways with patterns of reasoning that seem perfectly fine in the deductive case. In contrast to Dogramaci's and Weatherson's own suggestions, I argue that these cases show that we cannot reason inductively about arbitrary objects. Moreover, as I argue, this prohibition is neatly explained by a certain hypothesis about the rational basis of inductive reasoning — namely, (...) the hypothesis that inductive reasoning is fundamentally reasoning about what normally happens. (shrink)

This paper concerns the apparent fact — discussed by Sinan Dogramaci and Brian Weatherson — that inductive reasoning often interacts in disastrous ways with patterns of reasoning that seem perfectly fine in the deductive case. In contrast to Dogramaci's and Weatherson's own suggestions, I argue that these cases show that we cannot reason inductively about arbitrary objects. Moreover, as I argue, this prohibition is neatly explained by a certain hypothesis about the rational basis of inductive reasoning — namely, (...) the hypothesis that inductive reasoning is fundamentally reasoning about what normally happens. (shrink)

There is widespread excitement in the literature about the method of arbitrary functions: many take it to show that it is from the dynamics of systems that the objectivity of probabilities emerge. In this paper, I differentiate three ways in which a probability function might be objective, and I argue that the method of arbitrary functions cannot help us show that dynamics objectivise probabilities in any of these senses.

This paper evaluates Peter Klein’s objection to foundationalism. According to Klein, foundationalism fails because it allows arbitrariness “at the base.” I first explain that this objection can be interpreted in two ways: either as targeting dialectical foundationalism or as targeting epistemic foundationalism. I then clarify Klein’s concept of arbitrariness. An assertion or belief is assumed to be arbitrary if and only if it lacks a reason that is “objectively and subjectively available.” Drawing on this notion, I evaluate Klein’s objection. (...) I first argue that his objection construed as targeting dialectical foundationalism fails, since nothing prevents dialectical foundationalism from ruling out arbitrary assertions. I then argue that the objection seen as targeting epistemic foundationalism cannot be disqualified in the way some foundationalists believe. However, I show that also the objection so construed does not succeed, since epistemic foundationalism need not countenance arbitrary beliefs. (shrink)

Does the contemporary Natural Law position that only heterosexual couples are capable of marriage rest upon an “arbitrary and irrational distinction between same-sex couples and sterile heterosexual couples?” Anderson :759–775, 2013: 759). There are many who think so. In a recent article in these pages, Erik Anderson offers his case that these critics are correct. In what follows I examine Anderson’s argument and conclude that, whether or not one ultimately agrees with the New Natural Law account of marriage, the (...) distinction found there between same sex couples and sterile heterosexual couples is neither arbitrary nor irrational. (shrink)

Two fundamental rules of reasoning are Universal Generalisation and Existential Instantiation. Applications of these rules involve stipulations such as ‘Let n be an arbitrary number’ or ‘Let John be an arbitrary Frenchman’. Yet the semantics underlying such stipulations are far from clear. What, for example, does ‘n’ refer to following the stipulation that n be an arbitrary number? In this paper, we argue that ‘n’ refers to a number—an ordinary, particular number such as 58 or 2,345,043. Which (...) one? We do not and cannot know, because the reference of ‘n’ is fixed arbitrarily. Underlying this proposal is a more general thesis: Arbitrary Reference : It is possible to fix the reference of an expression arbitrarily. When we do so, the expression receives its ordinary kind of semantic-value, though we do not and cannot know which value in particular it receives. Our aim in this paper is defend AR. In particular, we argue that AR can be used to provide an account of instantial reasoning, and we suggest that AR can also figure in offering new solutions to a range of difficult philosophical puzzles. (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)

Radically permissive ontologies like mereological universalism and material plenitude are typically motivated by concerns about arbitrariness or anthropocentrism: it would be objectionably arbitrary, the thought goes, to countenance only those objects that we ordinarily take there to be. Despite the prevalence of this idea, it isn't at all clear what it is for a theory to be “objectionably arbitrary,” or what follows from a commitment to avoiding arbitrariness in metaphysics. This paper aims to clarify both questions, and (...) examines whether arguments from arbitrariness really are the proper foundations for one or both varieties of ontological permissivism. I argue that these considerations (even when made more precise) are far less successful at motivating radical forms of permissivism than we often take them to be. To do better, permissivists must either supply a much more developed metaphysics of material objects, or a controversial (but tempting) conception of what we're doing when we do metaphysics. (shrink)

I examine John Rawls' objection to libertarianism that it permits economic shares to be distributed in a morally arbitrary way. This argument was dropped largely for two reasons. First, talk of "arbitrariness" has been vague and associated with implausible views about moral desert, collective assets, and noumenal selves. Second, several criticisms which Robert Nozick made 25 years ago have gone unanswered. In this essay, I reconstruct the arbitrariness argument, giving it a new, Kantian interpretation, and I show that the (...) new version is intuitively plausible and avoids Nozick's major objections. (shrink)

Reductionist realist accounts of certain entities, such as the natural numbers and propositions, have been taken to be fatally undermined by what we may call the problem of arbitrary identification. The problem is that there are multiple and equally adequate reductions of the natural numbers to sets (see Benacerraf, 1965), as well as of propositions to unstructured or structured entities (see, e.g., Bealer, 1998; King, Soames, & Speaks, 2014; Melia, 1992). This paper sets out to solve the problem by (...) canvassing what we may call the arbitrary reference strategy. The main claims of such strategy are 2. First, we do not know which objects are the referents of proposition and numerical terms since their reference is fixed arbitrarily. Second, our ignorance of which object is picked out as the referent does not entail that no object is referred to by the relevant expression. Different articulations of the strategy are assessed, and a new one is defended. (shrink)

Self-exempting conciliationism is the view that it is rational to give weight to the opinions of peers in disagreement, except in disagreements about how to respond to disagreement. The special treatment of disagreements about disagreement, which is important to avoid self-undermining, seems arbitrary. Two arguments against this objection were put forward. Elga [3] aims to show that there is an independent motivation for conciliationism to be self-exempting. Pittard [5] argues that the special treatment is not arbitrary because the (...) concern for epistemic deference motivates conciliatory responses only in ordinary disagreements, but not in disagreements aboutdisagreement. I will argue that both replies fail—none of them can provide a consistent justification for why one ought to be conciliatory in disagreements except in cases of disagreement about disagreement. (shrink)

Realists about aesthetic judgment believe something like the following: for an aesthetic judgment of be correct, it must respond to the intrinsic aesthetic properties possessed by the object in question (e.g., Meskin et al., 2013; Kieran 2010). However, Cutting’s (2003) empirical research on aesthetic judgment puts pressure on that position. His work indicates that unconscious considerations extrinsic to an artwork can underpin said judgements. This paper takes Cutting’s conclusion a step further: If philosophers grant that it’s possible to appreciate artwork (...) on the basis of unconscious biases, then we never can be fully confident that our aesthetic judgment is undergirded by the intrinsic aesthetic properties of an artwork. Furthermore, if judgment on the basis of unconscious, external reasons cannot be ruled out, we cannot be confident that our aesthetic judgments are ‘correct’. I argue that Cutting’s research is just the tip of the iceberg regarding the extrinsic, unconscious factors that influence aesthetic judgment. Expectation bias formed via social influence and context greatly influence aesthetic judgments and are unavoidable: we inevitably form expectations based on all kinds of contextual cues independently of any actual exposure to the item in question. Such factors make it terribly difficult to be confident in our aesthetic judgments. Even if there are objective properties that mark out some items as aesthetically superior to others, we cannot be sure that our judgments are responding to those properties. (shrink)

Stephen Ingram defends a robustly realistic metaethical theory, based on the concept of normative arbitrariness, of which he provides the first in-depth analysis. He argues that, in order to capture the normative non-arbitrariness of moral choice, we must commit to the existence of robustly stance-independent, categorical, irreducibly normative, non-natural moral facts. Specifically, he identifies five ways in which a metaethical theory might fail to capture the non-arbitrariness of moral choice. The first involves claims about the bruteness of moral attitudes or (...) facts. The second involves claims about the privileging of some attitudes over others. The third involves the claim that some metaethical theories leave a normative deficit. The fourth involves a claim about our ownership over moral reality. And the fifth involves the claim that certain metaethical theories introduce a destabilising contingency into the moral domain. Ingram argues that robust realism is the theory that is best placed to avoid all five of these arbitrariness charges. He then goes on to show that, by exploring the nature of interpersonal moral dialogue, robust realists can defend epistemological and meta-semantic theories that are friendly to their view. Specifically, he defends a dualistic form of moral intuitionism on which some moral beliefs are justified on the basis of a priori intuitions, whilst others are justified on the basis of a posteriori moral experiences, and provides a theory of 'moral mental files' to explain how moral terms and concepts are able to refer to robust moral facts. (shrink)

In his 1763 Prize Essay, Kant is thought to endorse a version of formalism on which mathematical concepts need not apply to extramental objects. Against this reading, I argue that the Prize Essay has sufficient resources to explain how the objective reference of mathematical concepts is secured. This account of mathematical concepts’ objective reference employs material from Wolffian philosophy. On my reading, Kant's 1763 view still falls short of his Critical view in that it does not explain the universal, (...) unconditional applicability of mathematical concepts. (shrink)

In many different ontological debates, anti-arbitrariness considerations push one towards two opposing extremes. For example, in debates about mereology, one may be pushed towards a maximal ontology (mereological universalism) or a minimal ontology (mereological nihilism), because any intermediate view seems objectionably arbitrary. However, it is usually thought that anti-arbitrariness considerations on their own cannot decide between these maximal or minimal views. I will argue that this is a mistake. Anti-arbitrariness arguments may be used to motivate a certain popular thesis (...) in the philosophy of mathematics that rules out the maximalist view in many different ontological debates. (shrink)

Arguments that ordinary inanimate objects such as tables and chairs, sticks and stones, simply do not exist have become increasingly common and increasingly prominent. Some are based on demands for parsimony or for a non-arbitrary answer to the special composition question; others arise from prohibitions against causal redundancy, ontological vagueness, or co-location; and others still come from worries that a common sense ontology would be a rival to a scientific one. Until now, little has been done to address (...) these arguments in a unified and systematic way. Ordinary Objects is designed to fill this gap, demonstrating that the mistakes behind all of these superficially diverse eliminativist arguments may be traced to a common source. It aims to develop an ontology of ordinary objects subject to no such problems, providing perhaps the first sustained defense of a common sense ontology in two generations. The work done along the way addresses a number of major issues in philosophy of language and metaphysics, contributing to debates about analyticity, identity conditions, co-location and the grounding problem, vagueness, overdetermination, parsimony, and ontological commitment. In the end, the most important result of addressing these eliminativist arguments is not merely avoiding their conclusions; examining their failings also gives us reason to suspect that many apparent disputes in ontology are pseudo-debates. For it brings into question widely-held assumptions about which uses of metaphysical principles are appropriate, which metaphysical demands are answerable, and how we should go about addressing such fundamental questions as "What exists?". As a result, the work of Ordinary Objects promises to provide not only the route to a reflective understanding of our unreflective common-sense view, but also a better understanding of the proper methods and limits of metaphysics. (shrink)

This essay is about a special kind of transformative choice that plays a key role in debates about permissivism, the view that some bodies of evidence permit more than one rational response. A prominent objection to this view contends that its defender cannot vindicate our aversion to arbitrarily switching between belief states in the absence of any new evidence. A prominent response to that objection tries to provide the desired vindication by appealing to the idea that arbitrary switching would (...) involve a special kind of transformative choice: the choice to change one’s epistemic standards, i.e., one’s commitments regarding the relative importance of achieving true belief and avoiding false belief. My first aims here are to argue that this response is unsuccessful and propose an alternative. My secondary aim is to consider how this discussion might bear on more general debates about transformative choice. (shrink)

Foundationalism has often been charged with the defect of endorsing “arbitrary” foundations. On the most obvious interpretations of the term “arbitrary,” this objection transparently begs the question. A more sophisticated interpretation reveals the objection as resting on a conceptual confusion between reasons why a belief is justified and reasons that the believer has for the belief.

The paper explores Hegel's theory of language, from the Subjective Spirit book of his Encyclopedia. Hegel distinguishes between linguistic signs, as arbitrary signifiers and words, which occur when the signs are filled with thought or meaning. Words have greater objectivity than signs. The words of the positive, empirical sciences are taken up into Hegelian Science (system), affording it greater objectivity, which it, reciprocally re-confers on its linguistic contents.

One of the central questions of material-object metaphysics is which highly visible objects there are right before our eyes. Daniel Z. Korman defends a conservative view, according to which our ordinary, natural judgments about which objects there are are more or less correct. He begins with an overview of the arguments that have led people away from the conservative view, into revisionary views according to which there are far more objects than we ordinarily take there to be (...) or far fewer. Korman criticizes a variety of compatibilist strategies, according to which these revisionary views are actually compatible with our ordinary beliefs. He goes on to respond to debunking arguments; objections that the conservative's verdicts about which objects that are and aren't are objectionably arbitrary; the argument from vagueness; the overdetermination argument; the argument from material constitution; and the problem of the many. (shrink)

Inspired by Kit Fine’s theory of arbitrary objects, we explore some ways in which the generic structure of the natural numbers can be presented. Following a suggestion of Saul Kripke’s, we discuss how basic facts and questions about this generic structure can be expressed in the framework of Carnapian quantified modal logic.

Many studies have highlighted a substantial "bureaucracy domination" in procedures relating to migrants’ access to territory. This form of domination is marked by highly discretionary and arbitrary practices, enacted by the administrative authorities of the state. Only minor attention, however, has been devoted to the arbitrariness of judicial decisions and to the judicial role in general in the numerous proceedings that increasingly affect the path of migrants. This path is the main object of this paper. The study focuses on (...) Italian case law in expulsion and detention proceedings of irregular third country national citizens and asylum seekers and presents qualitative empirical research on decisions issued by the competent national authorities. The results have been analysed using a selection of theoretical tools, all referable to the general concept of the rule of law. The judicial decisions on pre-removal detention proceedings in two case studies are examined: the jurisprudence on detention of irregular migrants, in different offices of the Justice of the Peace in Italy; and the case law on detention of asylum seekers in the Ordinary Tribunal of Rome. The assumption underlying the research is that various conceptions of the rule of law may have different explanatory power when it comes to explaining the empirical results. To verify this hypothesis, the study proposes an overview of the main rule of law doctrines in the Western tradition of political and legal thought and applies the method of historical-conceptual analysis. As a result, the explanatory power of six theoretical models of the rule of law was verified against the data with the view to highlight the virtues and vices of the respective explanatory frameworks. This article reaches a two-fold conclusion. First, as far as the explanatory frameworks are concerned: the results of the two case studies cannot be fully explained by any of the models considered in this study. This fact alone casts doubts on the explanatory power of these theories and calls for further research on judicial decision-making more generally. Secondly, a key finding of the study regarding the notions of discretion and arbitrariness is that the judicial approach which assures the highest protection of rights is also the one that is most easily influenced by arbitrariness. The author argues that this paradox can be easily dissolved by paying attention to the plural dimensions of arbitrariness. If we consider arbitrariness from a legal point of view, i.e. as an illegal decision, it is unsurprising that the authority that most uses its discretionary powers is also the one most at risk of abusing these discretionary powers and hence of exercising arbitrary power. However, if we consider arbitrariness from the point of view of philosophical-political theory, i.e. as a form of domination characterised by the absence of sufficient justification, it is unsurprising that the judicial approach which assures the highest protection of rights is also the one that takes its own role as guarantor of these rights and of the constitutional democratic legal order as such most seriously. This judicial approach thus most often risks exercising its power in criticisable ways, as compared to an authority much more in line with the requirements of law enforcement agencies. Keywords: migration, discretion, justice, arbitrariness, civil rights, Rechtsstaat, expulsion, mixed constitution. (shrink)

This book proposes a new solution to the problem of vagueness. There are several different ways of addressing this problem and no clear agreement on which one is correct. The author proposes that it should be understood as the problem of explaining vague predicates in a way that systematizes six intuitions about the phenomenon and satisfies three criteria of adequacy for an ideal theory of vagueness. The third criterion, which is called the “criterion of precisification”, is the most controversial one. (...) It is based on the intuition that a predicate is vague only if it is imprecise. The author considers some different definitions of linguistic imprecision, proposing that a predicate is imprecise if and only if there is no sharp boundary between objects to which its application yields some particular truth-value and objects to which its application does not yield that truth-value. The volume critically reviews the current theories of vagueness and proposes a new one, the Theory of Vagueness as Arbitrariness, which defines a vague predicate as an arbitrary predicate that must be precisified in order to contribute to a sentence that has truth-conditions. The main advantages of this theory over the current alternatives are that it satisfies all three criteria and systematizes the relevant intuitions. (shrink)

In §54 of the Grundlagen, Frege advances an interesting proposal on how to distinguish among different sorts of concepts, only some of which he thinks can be associated with number. This paper is devoted to an analysis of the two criteria he offers, isolation and non-arbitrary division. Both criteria say something about the way in which a concept divides its extension; but they emphasize different aspects. Isolation ensures that a concept divides its extension into discrete units. I offer two (...) construals of this: isolation as discreteness, i.e. absence of overlap, between the objects to be counted; and isolation as the drawing of conceptual boundaries. Non-arbitrary division concerns the internal structure of the units we count: it makes sure that we cannot go on dividing them arbitrarily and still find more units of the kind. Non-arbitrary division focuses not only on how long something can be divided into parts of the same kind; it also speaks to the way in which these divisions are made, arbitrarily or non-arbitrarily, as well as to the compositional structure of the objects divided. (shrink)

The Swiss linguist Ferdinand de Saussure has exerted a profound influence not only on twentieth century linguistics but on a whole range of disciplines within the humanities and social sciences. His central thesis was that the primary object in studying a language is the state of that language at a particular time – a so-called synchronic study. He went on to claim that a language state is a socially constituted system of signs that are quite arbitrary and that can (...) only be defined in terms of their relationship within the system. This new perspective has changed the way people think about linguistics and has led to important attempts to apply structuralist ideas in anthropology, literary criticism, and philosophy. Professor Holdcroft's book expounds and elaborates Saussure's central ideas. It also offers a critical assessment of them, arguing that many of Saussure's claims are either questionable or have been misunderstood. (shrink)

other things, that the Vagueness Argument for unrestricted composition fails. In ‘Vagueness and Arbitrariness: Merricks on Composition’, Elizabeth Barnes objects to my argument. This paper replies to Barnes, and also offers further support for the views defended in my original paper.

Nonskeptical foundationalists say that there are basic beliefs. But, one might object, either there is a reason why basic beliefs are likely to be true or there is not. If there is, then they are not basic; if there is not, then they are arbitrary. I argue that this dilemma is not nearly as decisive as its author, Peter Klein, would have us believe.

An encyclopedia entry which covers various revisionary conceptions of which macroscopic objects there are, and the puzzles and arguments that motivate these conceptions: sorites arguments, the argument from vagueness, the puzzles of material constitution, arguments against indeterminate identity, arguments from arbitrariness, debunking arguments, the overdetermination argument, and the problem of the many.

Maureen Donnelly has recently argued that directionalism, the view that relations have a direction, applying to their relata in an order, is unable to properly treat certain symmetric relations. She alleges that it must count the application of such a relation to an appropriate number of objects in a given order as distinct from its application to those objects in any other ordering of them. I reply by showing how the directionalist can link the application conditions of any (...) fixed arity relation, no matter its arity or symmetry, and its converse(s) in such a way that directionalism will yield the correct ways in which it can apply. I thus establish that directionalism possesses the same advantage Donnelly's own account of relations, relative positionalism, has over traditional positionalist accounts of relations, which do not properly treat symmetric relations. I then note some advantages that directionalism has over its closest competitors. This includes Donnelly's relative positionalism, since directionalism is not, like relative positionalism, committed to the involvement of relative properties in every irreducibly relational claim. I close by conceding that, as Donnelly notes, directionalism is committed to the primitive relation of order-sensitive relational application. But I don't find this notion as mysterious as Donnelly does. I conclude that, even if one construes this feature of directionalism as a drawback, the two views are at worst at a draw, other things being equal, since this drawback is mitigated by the advantage directionalism has over relative positionalism. (shrink)

According to Peter Klein, foundationalism fails because it allows a vicious form of arbitrariness. The present article critically discusses his concept of arbitrariness. It argues that the condition Klein takes to be necessary and sufficient for an epistemic item to be arbitrary is neither necessary nor sufficient. It also argues that Klein's concept of arbitrariness is not a concept of something that is obviously vicious. Even if Klein succeeds in establishing that foundationalism allows what he regards as arbitrariness, this (...) does not yet mean that he confronts it with a sound objection. (shrink)