According to certain normative theories in epistemology, rationality requires us to be logically omniscient. Yet this prescription clashes with our ordinary judgments of rationality. How should we resolve this tension? In this paper, I focus particularly on the logical omniscience requirement in Bayesian epistemology. Building on a key insight by Hacking :311–325, 1967), I develop a version of Bayesianism that permits logical ignorance. This includes: an account of the synchronic norms that govern a logically ignorant individual at any given time; (...) an account of how we reduce our logical ignorance by learning logical facts and how we should update our credences in response to such evidence; and an account of when logical ignorance is irrational and when it isn’t. At the end, I explain why the requirement of logical omniscience remains true of ideal agents with no computational, processing, or storage limitations. (shrink)

Conditionalization is one of the central norms of Bayesian epistemology. But there are a number of competing formulations, and a number of arguments that purport to establish it. In this paper, I explore which formulations of the norm are supported by which arguments. In their standard formulations, each of the arguments I consider here depends on the same assumption, which I call Deterministic Updating. I will investigate whether it is possible to amend these arguments so that they no longer depend (...) on it. As I show, whether this is possible depends on the formulation of the norm under consideration. (shrink)

Epistemic decision theorists aim to justify Bayesian norms by arguing that these norms further the goal of epistemic accuracy—having beliefs that are as close as possible to the truth. The standard defense of Probabilism appeals to accuracy dominance: for every belief state that violates the probability calculus, there is some probabilistic belief state that is more accurate, come what may. The standard defense of Conditionalization, on the other hand, appeals to expected accuracy: before the evidence is in, one should expect (...) to do better by conditionalizing than by following any other rule. We present a new argument for Conditionalization that appeals to accuracy‐dominance, rather than expected accuracy. Our argument suggests that Conditionalization is a rule of coherence: plans that conflict with Conditionalization don't just prescribe bad responses to the evidence; they also give rise to inconsistent attitudes. (shrink)

Rescorla (Erkenntnis, 2020) has recently pointed out that the standard arguments for Bayesian Conditionalization assume that whenever I become certain of something, it is true. Most people would reject this assumption. In response, Rescorla offers an improved Dutch Book argument for Bayesian Conditionalization that does not make this assumption. My purpose in this paper is two-fold. First, I want to illuminate Rescorla’s new argument by giving a very general Dutch Book argument that applies to many cases of updating beyond those (...) covered by Conditionalization, and then showing how Rescorla’s version follows as a special case of that. Second, I want to show how to generalise R. A. Briggs and Richard Pettigrew’s Accuracy Dominance argument to avoid the assumption that Rescorla has identified (Briggs and Pettigrew in Noûs, 2018). In both cases, these arguments proceed by first establishing a very general reflection principle. (shrink)

Accuracy arguments for the core tenets of Bayesian epistemology differ mainly in the conditions they place on the legitimate ways of measuring the inaccuracy of our credences. The best existing arguments rely on three conditions: Continuity, Additivity, and Strict Propriety. In this paper, I show how to strengthen the arguments based on these conditions by showing that the central mathematical theorem on which each depends goes through without assuming Additivity.

Longtermism is the view that the most urgent global priorities, and those to which we should devote the largest portion of our resources, are those that focus on (i) ensuring a long future for humanity, and perhaps sentient or intelligent life more generally, and (ii) improving the quality of the lives that inhabit that long future. While it is by no means the only one, the argument most commonly given for this conclusion is that these interventions have greater expected goodness (...) per unit of resource devoted to them than each of the other available interventions, including those that focus on the health and well-being of the current population. In this paper, I argue that, even if we grant the consequentialist ethics upon which this argument depends, and even if we grant one of the axiologies that are typically paired with that ethics to give the argument, we are not morally required to choose an option that maximises expected utility; indeed, we might not even be permitted to do so. Instead, I will argue, if the argument's consequentialism is correct, we should choose using a decision theory that is sensitive to risk, and allows us to give greater weight to worse-case outcomes than expected utility theory does. And, I will show, such decision theories do not always recommend longtermist interventions. Indeed, sometimes, they recommend exactly the opposite: sometimes, they recommend hastening human extinction. Many, though not all, will take this as a reductio of the consequentialism or the axiology of the argument. I remain agnostic on the conclusion we should draw. (shrink)

This volume sets out to re-imagine the theoretical and epistemological presuppositions of existing scholarship on identities. Despite a well-established body of scholarly texts that examine the concept from a wide range of perspectives, there is a surprising dearth of work on multiple, heterogeneous forms of identity. Numerous studies of ethnic, linguistic, regional and religious identities have appeared, but largely in isolation from one another. Rethinking 'Identities' is a multi-authored project that is original in providing - in distributed and granular mode (...) - a hyper-contemporary and wide-ranging applied analysis that questions notions of identity based on nation and region, language, ethnicity, gender, sexuality, religion or even 'the human'. The volume achieves this by mobilizing various contexts of identity (gender, ethnicity, sexuality, nation) and medium (art, cinema, literature, music, theatre, video). Emphasizing the extreme contemporary (the twenty-first century) and the challenges posed by an increasingly global society, this collection of essays builds upon existing intellectual investigations of identity with the aim of offering a fresh perspective that transcends cognitive and geographical frontiers. (shrink)

"À l'ère postmoderne des incertitudes économiques et des défis identitaires qui sont ceux du XXIe siècle, penser l'être humain, c'est aussi explorer ou définir les univers non humains qui l'entourent. Toutefois, cette exploration est le plus souvent abstraite, figurative ou illustrative et reflète quasi exclusivement des intérêts humains. Elle instrumentalise ainsi les animaux, relégués à un rôle accessoire ou symbolique au profit d'une analyse concernée par l'humain et sa 'différence'. Cet ouvrage se départ de cette tendance pour considérer les responsabilités (...) humaines en regard des souffrances animales. Ce thème est en effet négligé par la pensée contemporaine, qui suit la trace anthropocentrique des priorités humaines d'une part, et par ailleurs rechigne à mener de front réflexion et militantisme. À travers une approche interdisciplinaire audacieuse, philosophes, vétérinaires, juristes, artistes, critiques littéraires, sociologues et historiens font ici part de leur désir de bouleverser les traditions humaines qui perpétuent l'oppression des animaux. Ils communiquent le fruit de leur expérience et de leur réflexion tout en exprimant l'urgence de leur engagement. En rompant le silence qui légitimise l'exploitation insensée de tous les êtres non humains, ils examinent certaines des conséquences de ces traditions, mais montrent également comment de nouvelles voies/x peuvent être prises, clamées et entendues afin de rendre possible la connexité de 'différents modes d'existence' (Bruno Latour)." [Source : 4e de couv.]. (shrink)

How much does rationality constrain what we should believe on the basis of our evidence? According to this book, not very much. For most people and most bodies of evidence, there is a wide range of beliefs that rationality permits them to have in response to that evidence. The argument, which takes inspiration from William James' ideas in 'The Will to Believe', proceeds from two premises. The first is a theory about the basis of epistemic rationality. It's called epistemic utility (...) theory, and it says that what it is epistemically rational for you to believe is what it would be rational for you to choose if you were given the chance to pick your beliefs and, when picking them, you were to care only about their epistemic value. So, to say which beliefs are permitted, we must say how to measure epistemic value, and which decision rule to use when picking your beliefs. The second premise is a claim about attitudes to epistemic risk, and it says that rationality permits many different such attitudes. These attitudes can show up in epistemic utility theory in two ways: in the way you measure epistemic value; and in the decision rule you use to pick beliefs. This book explores the latter. The result is permissivism about epistemic rationality: different attitudes to epistemic risk lead to different choices of prior beliefs; given most bodies of evidence, different priors lead to different posteriors; and even once we fix your attitudes to epistemic risk, if they are at all risk-inclined, there is a range of different priors and therefore different posteriors they permit. (shrink)

Our values change. What we value, want, desire, prefer, and how much; for nearly everyone, these will be different at different times in their life. These changes can be gradual or abrupt; they can be long-lasting or short-lived; and they can be induced by forces outside yourself or they can come from within or they can have no specific catalyst at all. Such preference change raises a number of questions for our theorising about rational choice, and these have been discussed (...) at length. In §2 and §3, I’ll outline two of these questions along with some of the putative solutions that have been proposed. But preference change also raises questions for our theorising about autonomy, and these have hardly been considered at all. In §4, I’ll outline three problems for personal autonomy; and in §5, I’ll outline one problem for political autonomy. In §6, I conclude. (shrink)

We often learn the opinions of others without hearing the evidence on which they're based. The orthodox Bayesian response is to treat the reported opinion as evidence itself and update on it by conditionalizing. But sometimes this isn't feasible. In these situations, a simpler way of combining one's existing opinion with opinions reported by others would be useful, especially if it yields the same results as conditionalization. We will show that one method---upco, also known as multiplicative pooling---is specially suited to (...) this role when the opinions you wish to pool concern hypotheses about chances. The result has interesting consequences: it addresses the problem of disagreement between experts; and it sheds light on the social argument for the uniqueness thesis. (shrink)

The large-scale and intensive collection and analysis of digital data (commonly called “Big Data”) has become a common, popular, and consensual research method for the social sciences, as the automation of data collection, mathematization of analysis, and digital objectification reinforce both its efficiency and truth-value. This article opens with a critical review of the literature on data collection and analysis, and summarizes current ethical discussions focusing on these technologies. A semiotic model of data production and circulation is then introduced to (...) problematize the view that digital data has ceased to stand for a formalization method (a possible kind of representation among others), and effectively “becomes the world itself” (a direct presentation of the world outperforming all other modes of representation). Following Charles Sanders Peirce’s semiotics and pragmaticist philosophy, we characterize digitalization as a hypersymbolic semiotic process, and we highlight the naturalization of meaning, the illusion of iconicity, and rhetorical efficiency on which data’s truth value relies within the context of its large-scale, profit-driven, and results-oriented research uses. This outlines some epistemological and ethical implications of data’s visualization, use, and authority, and indicates avenues for critical semiotics of contemporary data science and analysis. (shrink)

Gynaecological self-help, a well-known and historical feminist practice from the Second Wave movements which aims at embodying a radical alternative to traditional reproductive politics, is resurging today in France, Switzerland and Belgium. Drawing on empirical observations and interviews, this article questions the links between feminist memory of self-help, the shaping of nostalgia and the production of a political feminist ‘we’. Born at the end of the 1960s in the United States, feminist self-help travelled internationally and was appropriated differently depending on (...) national contexts. This ‘glorious’ history of self-help and, more importantly, its narrated memory, is central to contemporary European self-help activism, as observed in the three national contexts. Drawing on this insight, this article reveals the active memory-oriented emotional work of self-help activists. It examines the ways in which nostalgia for an imagined and lost past is actively and practically produced and encouraged in social movement practices, and highlights the specificity of the kind of collective feminist identity that it shapes and promotes in contemporary self-help politics. (shrink)

A study of the human drive to create order and reason notes the parallel beliefs of the ancient Anasazi people, the Tewa Native Americans, the Penitentes, and the scientists of the Santa Fe Institute.

One of the fundamental problems of epistemology is to say when the evidence in an agent’s possession justifies the beliefs she holds. In this paper and its prequel, we defend the Bayesian solution to this problem by appealing to the following fundamental norm: Accuracy An epistemic agent ought to minimize the inaccuracy of her partial beliefs. In the prequel, we made this norm mathematically precise; in this paper, we derive its consequences. We show that the two core tenets of Bayesianism (...) follow from the norm, while the characteristic claim of the Objectivist Bayesian follows from the norm along with an extra assumption. Finally, we consider Richard Jeffrey’s proposed generalization of conditionalization. We show not only that his rule cannot be derived from the norm, unless the requirement of Rigidity is imposed from the start, but further that the norm reveals it to be illegitimate. We end by deriving an alternative updating rule for those cases in which Jeffrey’s is usually supposed to apply. (shrink)

(This is for the Cambridge Handbook of Analytic Philosophy, edited by Marcus Rossberg) In this handbook entry, I survey the different ways in which formal mathematical methods have been applied to philosophical questions throughout the history of analytic philosophy. I consider: formalization in symbolic logic, with examples such as Aquinas’ third way and Anselm’s ontological argument; Bayesian confirmation theory, with examples such as the fine-tuning argument for God and the paradox of the ravens; foundations of mathematics, with examples such as (...) Hilbert’s programme and Gödel’s incompleteness theorems; social choice theory, with examples such as Condorcet’s paradox and Arrow’s theorem; ‘how possibly’ results, with examples such as Condorcet’s jury theorem and recent work on intersectionality theory; and the application of advanced mathematics in philosophy, with examples such as accuracy-first epistemology. (shrink)

Richard Pettigrew offers an extended investigation into a particular way of justifying the rational principles that govern our credences. The main principles that he justifies are the central tenets of Bayesian epistemology, though many other related principles are discussed along the way. Pettigrew looks to decision theory in order to ground his argument. He treats an agent's credences as if they were a choice she makes between different options, gives an account of the purely epistemic utility enjoyed by (...) different sets of credences, and then appeals to the principles of decision theory to show that, when epistemic utility is measured in this way, the credences that violate the principles listed above are ruled out as irrational. The account of epistemic utility set out here is the veritist's: the sole fundamental source of epistemic utility for credences is their accuracy. Thus, Pettigrew conducts an investigation in the version of epistemic utility theory known as accuracy-first epistemology. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Negotiating Maternal IdentityAdrienne Rich’s Legacy for Inquiry into the Political-Philosophical Dimensions of Pregnancy and ChildbirthCandace JohnsonGiving birth has been described as the crossing of an imaginary threshold, which separates an independent maternal self from some sort of dual or subordinate existence. The metaphor of a border has also been employed to demonstrate this transformation, which may be liberating, oppressive, or some complex combination thereof (Weir 2006; Martinez 2004). What (...) happens, in psychic and sociopolitical terms, in the journey across this border? Can a woman, as an independent, autonomous being, preserve her identity, her selfhood as a mother? Is the transition to motherhood an expression of culture or nature? The answers to these questions are infinitely complex, yet are at the core of philosophical, political, and personal explorations of the maternal. Central to these explorations are academic critiques and personal responses to the biomedical mediation of the transition to motherhood. For some women, medical intervention in pregnancy and childbirth is inherently oppressive, whereas for other women such intervention is a marker of privilege. In a groundbreaking volume published in 1998, Margaret Lock and Patricia Kaufert argue that women respond to different biomedical interventions in pragmatic ways, which reflect their lived experiences. They claim that “it is more appropriate to understand women’s responses in medical settings as reflecting their daily experiences as part of a domestic group, a community, or a society” (19). [End Page 65]I would like to advance this analysis by suggesting that women respond to biomedical intervention in pregnancy and childbirth in ways that reflect not simply their practical needs and realities, but important details about inequality and identity. Women’s relative degrees of power and agency in society are expressed through their preferences for care during pregnancy and childbirth. In addition, and in connection with the (structural) dynamics of inequality, these preferences reflect the complexities of shifting, negotiated, maternal identities. In order to consider the ways in which women negotiate maternal identity through their preferences concerning care during pregnancy and childbirth, I will examine the contributions of Adrienne Rich, which effectively serve as the foundation for this and countless other areas of women’s and gender studies. In Of Woman Born, Rich dedicates two full chapters to childbirth, and explains in these chapters that the institution of childbirth has come to dominate and eclipse women’s experiences. Moreover, the patriarchal circumscription of childbirth is reinforced by the isolation of childbirth (and motherhood) from other life events. Rich demonstrates these problems through the metaphor of “giving birth to oneself ” (29), which has (at least) two distinct meanings: self actualization and self replacement.My investigation into these meanings will include an examination of Rich’s philosophical treatment of pregnancy and childbirth and an assessment of the sociopolitical implications of both conceptions of “giving birth to oneself.” I will then subject these conceptions to empirical testing, as Rich insists. Such empirical testing is crucial because the social and political dimensions of the institutions of childbirth and motherhood are complex and differ from one context to the next. Rich explains that[t]o hold power over others means that the powerful is permitted a kind of short-cut through the complexity of human personality. He does not have to enter intuitively into the souls of the powerless, or to hear what they are saying in their many languages, including the language of silence. Colonialism exists by virtue of this short-cut—how else could so few live among so many and understand so little?(65)This essay will avoid a similar shortcut often taken by theorists, which builds philosophical arguments without empirical support. The empirical cases to be considered in the context of philosophical debate include Canada, Honduras, and Cuba, and details of each case will be drawn from extensive interview data from a larger empirical study.1 In the Canadian context, resistance to the constraining effects of motherhood as institution is reduced to resistance to medical regulation of pregnancy and childbirth. The benefit indicated by this resistance is that women have found ways to expand their range of options and reinterpret the birthing event, thereby integrating it into other realms [End Page 66... (shrink)

This paper examines the relationship between the KK principle and the epistemological theses of externalism and internalism. In particular we examine arguments from Okasha :80–86, 2013) and Greco :169–197, 2014) which deny that we can derive the denial of the KK principle from externalism.

We propose that certain forms of chronic illness can be transformative experiences, in the sense described by L.A. Paul.

One of the fundamental problems of epistemology is to say when the evidence in an agent’s possession justifies the beliefs she holds. In this paper and its sequel, we defend the Bayesian solution to this problem by appealing to the following fundamental norm: Accuracy An epistemic agent ought to minimize the inaccuracy of her partial beliefs. In this paper, we make this norm mathematically precise in various ways. We describe three epistemic dilemmas that an agent might face if she attempts (...) to follow Accuracy, and we show that the only inaccuracy measures that do not give rise to such dilemmas are the quadratic inaccuracy measures. In the sequel, we derive the main tenets of Bayesianism from the relevant mathematical versions of Accuracy to which this characterization of the legitimate inaccuracy measures gives rise, but we also show that Jeffrey conditionalization has to be replaced by a different method of update in order for Accuracy to be satisfied. (shrink)

Inner speech has been shown to vary in form along several dimensions. Along condensation, condensed inner speech forms have been described, that are supposed to be deprived of acoustic, phonological and even syntactic qualities. Expanded forms, on the other extreme, display articulatory and auditory properties. Along dialogality, inner speech can be monologal, when we engage in internal soliloquy, or dialogal, when we recall past conversations or imagine future dialogues involving our own voice as well as that of others addressing us. (...) Along intentionality, it can be intentional (when we deliberately rehearse material in short-term memory) or it can arise unintentionally (during mind wandering). We introduce the ConDialInt model, a neurocognitive predictive control model of inner speech that accounts for its varieties along these three dimensions. ConDialInt spells out the condensation dimension by including inhibitory control at the conceptualization, formulation or articulatory planning stage. It accounts for dialogality, by assuming internal model adaptations and by speculating on neural processes underlying perspective switching. It explains the differences between intentional and spontaneous varieties in terms of monitoring. We present an fMRI study in which we probed varieties of inner speech along dialogality and intentionality, to examine the validity of the neuroanatomical correlates posited in ConDialInt. Condensation was also informally tackled. Our data support the hypothesis that expanded inner speech recruits speech production processes down to articulatory planning, resulting in a predicted signal, the inner voice, with auditory qualities. Along dialogality, covertly using an avatar’s voice resulted in the activation of right hemisphere homologues of the regions involved in internal own-voice soliloquy and in cerebellar deactivation, consistent with internal model adaptation. Switching from first-person to third-person perspective resulted in activations in precuneus and parietal lobules. Along intentionality, compared with intentional inner speech, mind wandering with inner speech episodes was associated with greater bilateral inferior frontal activation and decreased activation in left temporal regions. This is consistent with the reported subjective evanescence and presumably reflects condensation processes. Our results provide neuroanatomical evidence compatible with predictive control and in favor of the assumptions made in the ConDialInt model. (shrink)

You might think a simple “No” would suffice as an answer. But there are features of Kant’s ethics that appear to be strikingly similar to virtue oriented views, so striking that some Kantians themselves have argued that Kant’s ethics in fact shares these features with virtue ethics. In what follows, I will argue against this view, though along the way I will acknowledge the features of Kant’s view that make it appear more like a kind of virtue ethics than it (...) really is. My plan is to first set out the distinctive features of what is nowadays called “virtue ethics”, those features that make it a genuine alternative to other normative theories. I then consider the features Kant’s view might share in common with virtue ethics and the case for saying that it is, therefore, fundamentally the same sort of theory. I follow these two sections with an argument against this position. I want to warn you at the outset, however, that my argument itself will be quite unsurprising, since it is an argument that has been central to the way in which most philosophers have understood Kant’s ethics. Any novelty I can claim here is in my account of what makes virtue ethics a genuine alternative to other normative theories, and my defense of this argument against those, in particular Barbara Herman, who have apparently found the argument unpersuasive. (shrink)

Using path-breaking discoveries of cognitive science, Mark Johnson argues that humans are fundamentally imaginative moral animals, challenging the view that morality is simply a system of universal laws dictated by reason. According to the Western moral tradition, we make ethical decisions by applying universal laws to concrete situations. But Johnson shows how research in cognitive science undermines this view and reveals that imagination has an essential role in ethical deliberation. Expanding his innovative studies of human reason in Metaphors (...) We Live By and The Body in the Mind, Johnson provides the tools for more practical, realistic, and constructive moral reflection. (shrink)

Questions about the relation between identity and discernibility are important both in philosophy and in model theory. We show how a philosophical question about identity and dis- cernibility can be ‘factorized’ into a philosophical question about the adequacy of a formal language to the description of the world, and a mathematical question about discernibility in this language. We provide formal definitions of various notions of discernibility and offer a complete classification of their logical relations. Some new and surprising facts are (...) proved; for instance, that weak dis- cernibility corresponds to discernibility in a language with constants for every object, and that weak discernibility is the most discerning nontrivial discernibility relation. (shrink)

What we value, like, endorse, want, and prefer changes over the course of our lives. Richard Pettigrew presents a theory of rational decision making for agents who recognise that their values will change over time and whose decisions will affect those future times.

A new translation and edition of Aristotle's Protrepticus (with critical comments on the fragments) -/- Welcome -/- The Protrepticus was an early work of Aristotle, written while he was still a member of Plato's Academy, but it soon became one of the most famous works in the whole history of philosophy. Unfortunately it was not directly copied in the middle ages and so did not survive in its own manuscript tradition. But substantial fragments of it have been preserved in several (...) works by Iamblichus of Chalcis, a third century A.D. neo-Pythagorean philosopher and educator. On the basis of a close study of Iamblichus' extensive use and excerption of Aristotle's Protrepticus, it is possible to reconstruct the backbone of the lost work, and then to flesh it out with the other surviving reports about the work from antiquity (for example in Alexander of Aphrodisias and other ancient commentators on Aristotle). It is also possible to identify several papyrus fragments of the work, and many references and literary allusions in later authors, especially Cicero, whose own lost dialogue Hortensius was a defense of philosophy modeleld on Aristotle's. (shrink)

In Bayesian epistemology, the problem of the priors is this: How should we set our credences (or degrees of belief) in the absence of evidence? That is, how should we set our prior or initial credences, the credences with which we begin our credal life? David Lewis liked to call an agent at the beginning of her credal journey a superbaby. The problem of the priors asks for the norms that govern these superbabies. -/- The Principle of Indifference gives a (...) very restrictive answer. It demands that such an agent divide her credences equally over all possibilities. That is, according to the Principle of Indifference, only one initial credence function is permissible, namely, the uniform distribution. In this paper, we offer a novel argument for the Principle of Indifference. I call it the Argument from Accuracy. (shrink)

This article explores the critical role of emotions and bodies in the individual dynamics of engagement as well as the construction of collective identities and action in women’s groups in the 1970s in France. Much literature on emotion work in feminist organizations has tended to discuss emotions stemming from women’s dominant socialization processes as, above all, alienating, thereby as barriers to their activism. The Movement for the liberty of abortion and birth control offers essential insights into how gendered dispositions can (...) be primary determinants of feminist collective identity formation, and even spur innovative protest practices. With their specific organizational settings and action, some ‘dissident MLACs’ in Aix-en-Provence, Lille, Lyon and Paris – those which continued to practice abortion despite its legalization and in defiance of the 1975 law which forbade them to do so – mobilized reciprocal emotions and bodily experiences to sustain engagement and serve a political project. Drawing on a wide array of biographical interviews and archival sources centred on abortion practices, the article examines the distinctive emotion culture these groups constructed. Its anchoring in bodies, commitment to emotions like tenderness and compassion, but also domestic and relational skills consecrated a gendered repertoire of action which therefore notably appealed to women whose social properties did not predispose them to collective action. (shrink)

In this paper, we seek a reliabilist account of justified credence. Reliabilism about justified beliefs comes in two varieties: process reliabilism (Goldman, 1979, 2008) and indicator reliabilism (Alston, 1988, 2005). Existing accounts of reliabilism about justified credence comes in the same two varieties: Jeff Dunn (2015) proposes a version of process reliabilism, while Weng Hong Tang (2016) offers a version of indicator reliabilism. As we will see, both face the same objection. If they are right about what justification is, it (...) is mysterious why we care about justification, for neither of the accounts explains how justification is connected to anything of epistemic value. We will call this the Connection Problem. I begin by describing Dunn’s process reliabilism and Tang’s indicator reliabilism. I argue that, understood correctly, they are, in fact, extensionally equivalent. That is, Dunn and Tang reach the top of the same mountain, albeit by different routes. However, I argue that both face the Connection Problem. In response, I offer my own version of reliabilism, which is both process and indicator, and I argue that it solves that problem. Furthermore, I show that it is also extensionally equivalent to Dunn’s reliabilism and Tang’s. Thus, I reach the top of the same mountain as well. (shrink)

Does category theory provide a foundation for mathematics that is autonomous with respect to the orthodox foundation in a set theory such as ZFC? We distinguish three types of autonomy: logical, conceptual, and justificatory. Focusing on a categorical theory of sets, we argue that a strong case can be made for its logical and conceptual autonomy. Its justificatory autonomy turns on whether the objects of a foundation for mathematics should be specified only up to isomorphism, as is customary in other (...) branches of contemporary mathematics. If such a specification suffices, then a category-theoretical approach will be highly appropriate. But if sets have a richer `nature' than is preserved under isomorphism, then such an approach will be inadequate. (shrink)