Are extreme beliefs constitutive of echo chambers, or only typically caused by them? Or are many echo chambers unproblematic, amplifying relatively benign beliefs? This paper details the conceptual relations between echo chambers and extreme beliefs, showing how different conceptual choice-points in how we understand both echo chambers and extreme beliefs affects how we should evaluate, study, and engage with echo chambering groups. We also explore how our theories of extreme beliefs and echo chambers shape social scientific research and contribute in (...) a practical way when treating these phenomena, focusing on examples of climate change scepticism. (shrink)

Do we insult, offend or slight a speaker when we refuse her testimony? Do we compliment, commend or extol a speaker when we accept her testimony? I argue that the answer to both of these questions is “yes”, but only in some instances, since these respective insults and compliments track the reasons a hearer has for rejecting or accepting testimony. When disbelieving a speaker, a hearer may insult her because she judges the speaker to be either incompetent as a knower (...) or insincere as a teller. However, there are many instances where we reject testimony without making this negative evaluation of the speaker, and as such, without paying her an insult. Testimonial compliments are fewer in number, and are not constitutive of “everyday” testimonial exchanges, since, speakers who are competent as knowers and sincere as tellers are merely behaving correctly in accordance with the norms of testifying. Nevertheless, deferring to an authority on belief can be complimentary to that speaker if by doing so we judge her to have some mastery in a particular domain. Testimonial insults and compliments have important moral implications, particularly with regard to epistemic injustice and therapeutic trust. (shrink)

It is sometimes claimed that faith is a virtue. To what extent faith is a virtue depends on what faith is. One construal of faith, which has been popular in both recent and historical work on faith, is that faith is a matter of taking oneself to have been spoken to by God and of trusting this purported divine testimony. In this paper, I argue that when faith is understood in this way, for faith to be virtuous then it must (...) be accompanied by intellectual humility. I defend this view by showing how someone ought to respond to purported divine testimony if her faith is to be intellectually humble, and how, if it fails in this respect, it will instead be accompanied by the vices of either servility or arrogance. (shrink)

Which rules should guide our reasoning? Human reasoners often use reasoning shortcuts, called heuristics, which function well in some contexts but lack the universality of reasoning rules like deductive implication or inference to the best explanation. Does it follow that human reasoning is hopelessly irrational? I argue: no. Heuristic reasoning often represents human reasoners reaching a local rational maximum, reasoning more accurately than if they try to implement more “ideal” rules of reasoning. I argue this is a genuine rational achievement. (...) Our ideal rational advisors would advise us to reason with heuristic rules, not more complicated ideal rules. I argue we do not need a radical new account of epistemic norms to make sense of the success of heuristic reasoning. (shrink)

Epistocratic systems of government have received renewed attention, and considerable opposition, in recent political philosophy. Although they vary significantly in form, epistocracies generally reject universal suffrage. But can they maintain the advantages of universal suffrage despite rejecting it? This paper develops an argument for a significant instrumental advantage of universal suffrage: that governments must take into account the interests of all of those enfranchised in their policy decisions or else risk losing power. This is called ‘the Interests Argument’. One problem (...) for the Interests Argument is that governments are not entirely responsive to voter interests, partly because voters do not always know what is in their interests. I will show how this epistemic claim can be used to support certain forms of epistocracy, but deny that it undermines the Interests Argument. I then consider whether we can identify forms of epistocracy that preserve the benefits of the Interests Argument whilst overcoming the epistemic limitations of democracy. I propose six forms of epistocracy, and argue that two are able to maintain these benefits, hence providing an evaluation of the relative strengths of these epistocracies with respect to one of the most valuable instrumental benefits of universal suffrage. Whilst epistocracy lacks many of the advantages of democracy, this paper shows that some forms fare better than others. (shrink)

A Benacerraf–Field challenge is an argument intended to show that common realist theories of a given domain are untenable: such theories make it impossible to explain how we’ve arrived at the truth in that domain, and insofar as a theory makes our reliability in a domain inexplicable, we must either reject that theory or give up the relevant beliefs. But there’s no consensus about what would count here as a satisfactory explanation of our reliability. It’s sometimes suggested that giving such (...) an explanation would involve showing that our beliefs meet some modal condition, but realists have claimed that this sort of modal interpretation of the challenge deprives it of any force: since the facts in question are metaphysically necessary and so obtain in all possible worlds, it’s trivially easy, even given realism, to show that our beliefs have the relevant modal features. Here I show that this claim is mistaken—what motivates a modal interpretation of the challenge in the first place also motivates an understanding of the relevant features in terms of epistemic possibilities rather than metaphysical possibilities, and there are indeed epistemically possible worlds where the facts in question don’t obtain. (shrink)

Religious fundamentalism remains a significant force in global politics and religion. Despite a range of problems arising from fundamentalism, the beliefs fundamentalists hold can seem quite reasonable. This paper considers whether, in fact, fundamentalist beliefs are rational by drawing on recent ideas in contemporary epistemology. The paper presents a general theory of fundamentalist beliefs in terms of their propositional content and the high credence levels attributed to them. It then explores the way these beliefs are both acquired and retained by (...) applying ideas from the social epistemology of echo chambers and group belief. The paper then considers three accounts of the rationality of belief: evidentialist, reliabilist, and virtue-theoretic. It is argued that fundamentalist beliefs can be reasonable on evidentialist standards, but are nevertheless still problematic on reliabilist and virtue standards, since they are formed in environments that are not truth-conducive and which cultivate intellectual vice. (shrink)

Sensitivity has sometimes been thought to be a highly epistemologically significant property, serving as a proxy for a kind of responsiveness to the facts that ensure that the truth of our beliefs isn’t just a lucky coincidence. But it's an imperfect proxy: there are various well-known cases in which sensitivity-based anti-luck conditions return the wrong verdicts. And as a result of these failures, contemporary theorists often dismiss such conditions out of hand. I show here, though, that a sensitivity-based understanding of (...) epistemic luck can be developed that respects what was attractive about sensitivity-based approaches in the first place but that's immune to these failures. (shrink)

Truth by convention, once thought to be the foundation of a uniquely promising approach to explaining our access to the truth in nonempirical domains, is nowadays widely considered an absurdity. Its fall from grace has been due largely to the influence of an argument that can be sketched as follows: our linguistic conventions have the power to make it the case that a sentence expresses a particular proposition, but they can’t by themselves generate truth; whether a given proposition is true—and (...) so whether the sentence that expresses it is true—is a matter of what the world is like, which means it isn’t a matter of convention alone. The consensus is that this argument is decisive against truth by convention. Strikingly, though, it has rarely been formulated with much precision. Here I provide a new rendering of the argument, one that reveals its structure and makes transparent just what assumptions it requires, and then I assess conventionalists’ prospects for resisting each of those assumptions. I conclude that the consensus is mistaken: contrary to what is almost universally thought, there remains a promising way forward for the conventionalist project. Along the way, I clarify conventionalists’ commitments by thinking about what truth by convention would need to be like in order for conventionalism to do the epistemological work it’s intended to do. (shrink)

Moral error theory of the kind defended by J. L. Mackie and Richard Joyce is premised on two claims: (1) that moral judgements essentially presuppose that moral value has absolute authority, and (2) that this presupposition is false, because nothing has absolute authority. This paper accepts (2) but rejects (1). It is argued first that (1) is not the best explanation of the evidence from moral practice, and second that even if it were, the error theory would still be mistaken, (...) because the assumption does not contaminate the meaning or truth-conditions of moral claims. These are determined by the essential application conditions for moral concepts, which are relational rather than absolute. An analogy is drawn between moral judgements and motion judgements. (shrink)

I identify an undertheorized problem with decisions we make with the aid of algorithms: the problem of inauthenticity. When we make decisions with the aid of algorithms, we can make ones that go against our commitments and values in a normatively important way. In this paper, I present a framework for algorithm-aided decision-making that can lead to inauthenticity. I then construct a taxonomy of the features of the decision environment that make such outcomes likely, and I discuss three possible solutions (...) to the problem. (shrink)

What is the relationship between faith and evidence? It is often claimed that faith requires going beyond evidence. In this paper, I reject this claim by showing how the moral demands to have faith warrant a person in maintaining faith in the face of counter-evidence, and by showing how the moral demands to have faith, and the moral constraints of evidentialism, are in clear tension with going beyond evidence. In arguing for these views, I develop a taxonomy of different ways (...) of irrationally going beyond evidence and contrast this with rational ways of going against evidence. I then defend instances of having a moral demand to have faith, explore how this stands in tension with going beyond and against evidence, and develop an argument for the claim that faith involves a disposition to go against, but not beyond evidence. (shrink)

Speech and thought about what the law is commonly function in practical ways, to guide or assess behavior. These functions have often been seen as problematic for legal positivism in the tradition of H.L.A. Hart. One recent response is to advance an expressivist analysis of legal statements (Toh), which faces its own, familiar problems. This paper advances a rival, positivist-friendly account of legal statements which we call “quasi-expressivist”, explicitly modeled after Finlay’s metaethical theory of moral statements. This consists in (...) a descriptivist, “rule-relational” semantics combined with a pragmatic account of the expressive and practical functions of legal discourse. We argue that this approach is at least as well-equipped as expressivism to explain the motivational and prescriptive features of “internal” legal statements, as well as a fundamental kind of legal disagreement, while being better positioned to account for various “external” uses of the same language. We develop this theory in a Hartian framework, and in the final part of the paper argue (particularly against Toh’s expressivist interpretation) that Hart’s own views in The Concept of Law are best reconstructed along such quasi-expressivist lines. (shrink)

Robin McKenna’s excellent Non-Ideal Epistemology is, among other things, a testament to restraint. McKenna does not want to unnecessarily inflame tensions between ideal and non-ideal theorists in epistemology. Often ideal and non-ideal projects are aimed at different target domains and not in tension with one another (though not always; e.g. McKenna 2023, ch. 6, especially pp. 112-21). In this commentary, I will have much less tact. I sketch a route by which the non-ideal epistemologist might become more belligerent towards their (...) ideal counterparts. I do this by focusing on an area that McKenna mostly sets aside: non-ideal individual epistemology. (shrink)

Implicit attitudes are mental states posited by psychologists to explain behaviors including implicit racial and gender bias. In this paper I investigate the belief view of the implicit attitudes, on which implicit attitudes are a kind of implicit belief. In particular, I focus on why implicit attitudes, if they are beliefs, are often resistant to updating in light of new evidence. I argue that extant versions of the belief view do not give a satisfactory account of this phenomenon. This is (...) because proponents of the belief view have focused on overly narrow explanations of recalcitrance in terms of belief storage. Expanding the focus of the belief view to the kinds of irrational and arational transitions between beliefs and other mental states provides compelling (if preliminary) explanations of recalcitrance. (shrink)

This paper investigates whether different philosophers’ claims about “normativity” are about the same subject or (as recently argued by Derek Parfit) theorists who appear to disagree are really using the term with different meanings, in order to cast disambiguating light on the debates over at least the nature, existence, extension, and analyzability of normativity. While I suggest the term may be multiply ambiguous, I also find reasons for optimism about a common subject-matter for metanormative theory. This is supported partly by (...) sketching a special kind of hybrid view of normative judgment, perspectivism, that occupies a position between cognitivism and noncognitivism, naturalism and nonnaturalism, objectivism and subjectivism, making it more plausible that radically different metanormative theories could be about the same thing. I explore three main fissures: between (i) the “normativity” of language/thought versus that of facts and properties, (ii) abstract versus substantive senses, and (iii) formal versus robust senses. (shrink)

We argue that the concept of practical wisdom is particularly useful for organizing, understanding, and improving human-machine interactions. We consider the relationship between philosophical analysis of wisdom and psychological research into the development of wisdom. We adopt a practical orientation that suggests a conceptual engineering approach is needed, where philosophical work involves refinement of the concept in response to contributions by engineers and behavioral scientists. The former are tasked with encoding as much wise design as possible into machines themselves, as (...) well as providing sandboxes or workspaces to help various stakeholders build practical wisdom in systems that are sufficiently realistic to aid transferring skills learned to real-world use. The latter are needed for the design of exercises and methods of evaluation within these workspaces, as well as ways of empirically assessing the transfer of wisdom from workspace to world. Systematic interaction between these three disciplines (and others) is the best approach to engineering wisdom for the machine age. (shrink)

Freedom of speech in universities is currently an issue of widespread concern and debate. Recent empirical findings in the UK shed some light on whether speech is unduly restricted in the university, but it suffers from two limitations. First, the results appear contradictory. Some studies show that the issue of free speech is overblown by media reportage, whilst others track serious concerns about free speech arising from certain university policies. Second, the findings exclude important issues concerning restrictions to speech on (...) campus that fall outside of the traditional debate around violations to free speech rights. This is particularly the case when certain voices are excluded from important policy conversations, and in issues around diversifying the curriculum. This paper overcomes these two limitations by developing a novel conceptual framework within which to situate current debates concerning speech related matters in universities. It does so by developing a taxonomy around the concept of ‘silencing’. It then considers the current issue of speech matters in universities within this framework to determine whether, and to what extent, speech is indeed unduly restricted, and where this is a concern for free speech violations, and where it falls outside of this issue. (shrink)

In domains as disparate as playing Go and predicting the structure of proteins, artificial intelligence (AI) technologies have begun to perform at levels beyond which any humans can achieve. Does this fact represent something lamentable? Does superhuman AI performance somehow undermine the value of human achievements in these areas? Go grandmaster Lee Sedol suggested as much when he announced his retirement from professional Go, blaming the advances of Go-playing programs like AlphaGo for sapping his will to play the game at (...) a high level. In this paper, I attempt to make sense of Sedol’s lament. I consider a number of ways that the existence of superhuman-performing AI technologies could undermine the value of human achievements. I argue there is very little in the nature of the technology itself that warrants such despair. (Compare: does the existence of a fighter jet undermine the value of being the fastest human sprinter?) But I also argue there are several more localized domains where these technologies threaten to displace human beings from being able to achieve valuable things at all. This is a particular worry for those in unequal societies, I argue, given the difficulty of many achievements and the corresponding amount of resources needed to achieve great things. (shrink)

Bernard Williams's motivational reasons-internalism fails to capture our first-order reasons judgements, while Derek Parfit's nonnaturalistic reasons-externalism cannot explain the nature or normative authority of reasons. This paper offers an intermediary view, reformulating scepticism about external reasons as the claim not that they don't exist but rather that they don't matter. The end-relational theory of normative reasons is proposed, according to which a reason for an action is a fact that explains why the action would be good relative to some end, (...) where the relevant end for any ascription of reasons is determined by the speaker's conversational context. Because these ends need not be the agent's ends, Williams is wrong to reject the existence of external reasons. But contra Parfit, a reason for action is only important for an agent if it is motivationally internal to that agent. (shrink)

One recent topic of debate in Bayesian epistemology has been the question of whether imprecise credences can be rational. I argue that one account of imprecise credences, the orthodox treatment as defended by James M. Joyce, is untenable. Despite Joyce’s claims to the contrary, a puzzle introduced by Roger White shows that the orthodox account, when paired with Bas C. van Fraassen’s Reflection Principle, can lead to inconsistent beliefs. Proponents of imprecise credences, then, must either provide a compelling reason to (...) reject Reflection or admit that the rational credences in White’s case are precise. (shrink)

According to content-relativist theories of moral language, different speakers use the same moral sentences to say different things. Content-relativism faces a well-known problem of lost disagreement. Recently, numerous content-relativists (including the author) have proposed to solve this problem by appeal to various kinds of non-content-based, or broadly pragmatic, disagreement. This presents content-relativists with a new problem—of found agreement. Which (if any) of these newly identified kinds of conflict is correctly identified as the lost moral disagreement we were looking for? This (...) paper offers a critical comparison of different content-relativist proposals. It divides them into two broad categories, quasi-expressivist theories (QED) and metalinguistic theories (MLD). Objections to each are considered, and QED is tentatively found to be superior. (shrink)

Moral assertions express attitudes, but it is unclear how. This paper examines proposals by David Copp, Stephen Barker, and myself that moral attitudes are expressed as implicature (Grice), and Copp's and Barker's claim that this supports expressivism about moral speech acts. I reject this claim on the ground that implicatures of attitude are more plausibly conversational than conventional. I argue that Copp's and my own relational theory of moral assertions is superior to the indexical theory offered by Barker and Jamie (...) Dreier, and that since the relational theory supports conversational implicatures of attitude, expressive conventions would be redundant. Furthermore, moral expressions of attitude behave like conversational and not conventional implicatures, and there are reasons for doubting that conventions of the suggested kind could exist. (shrink)

The thesis that agents should calibrate their beliefs in the face of higher-order evidence—i.e., should adjust their first-order beliefs in response to evidence suggesting that the reasoning underlying those beliefs is faulty—is sometimes thought to be in tension with Bayesian approaches to belief update: in order to obey Bayesian norms, it’s claimed, agents must remain steadfast in the face of higher-order evidence. But I argue that this claim is incorrect. In particular, I motivate a minimal constraint on a reasonable treatment (...) of the evolution of self-locating beliefs over time and show that calibrationism is compatible with any generalized Bayesian approach that respects this constraint. I then use this result to argue that remaining steadfast isn’t the response to higher-order evidence that maximizes expected accuracy. (shrink)

Analyses of moral value judgements must meet a practicality requirement: moral speech acts characteristically express pro- or con-attitudes, indicate that speakers are motivated in certain ways, and exert influence on others' motivations. Nondescriptivists including Simon Blackburn and Allan Gibbard claim that no descriptivist analysis can satisfy this requirement. I argue first that while the practicality requirement is defeasible, it indeed demands a connection between value judgement and motivation that resembles a semantic or conceptual rather than merely contingent psychological link. I (...) then show how a form of descriptivism, the interest-relational theory, satisfies the requirement as a pragmatic and conversational feature of value judgement – thereby also accommodating its defeasibility. The word ``good'' is always indexed to some set of motivations: when this index is unarticulated in many contexts the speaker conversationally implicates possession of those motivations. (shrink)

The relevance of analytic metaphysics has come under criticism: Ladyman & Ross, for instance, have suggested do discontinue the field. French & McKenzie have argued in defense of analytic metaphysics that it develops tools that could turn out to be useful for philosophy of physics. In this article, we show first that this heuristic defense of metaphysics can be extended to the scientific field of applied ontology, which uses constructs from analytic metaphysics. Second, we elaborate on a parallel by French (...) & McKenzie between mathematics and metaphysics to show that the whole field of analytic metaphysics, being useful not only for philosophy but also for science, should continue to exist as a largely autonomous field. (shrink)

Hilary Greaves and David Wallace argue that conditionalization maximizes expected accuracy and so is a rational requirement, but their argument presupposes a particular picture of the bridge between rationality and accuracy: the Best-Plan-to-Follow picture. And theorists such as Miriam Schoenfield and Robert Steel argue that it's possible to motivate an alternative picture—the Best-Plan-to-Make picture—that does not vindicate conditionalization. I show that these theorists are mistaken: it turns out that, if an update procedure maximizes expected accuracy on the Best-Plan-to-Follow picture, it's (...) guaranteed to maximize expected accuracy on the Best-Plan-to-Make picture as well, in which case moving from the former to the latter can't help us avoid the conclusion that conditionalization is a rational requirement. If there's a problem with Greaves and Wallace’s argument, it must lie elsewhere. (shrink)

This paper champions the view (REG) that the concept of a normative reason for an agent S to perform an action A is that of an explanation why it would be good (in some way, to some degree) for S to do A. REG has numerous virtues, but faces some significant challenges which prompt many philosophers to be skeptical that it can correctly account for all our reasons. I demonstrate how five different puzzles about normative reasons can be solved by (...) attention to the concept of goodness, and in particular observing the ways in which it—and consequently, talk about reasons—is sensitive to context (ends and information). Rather than asking simply whether or not certain facts are reasons for S to do A, we need to explore the contexts in which it is and is not correct to describe a certain fact as “a reason” for S to do A. These five puzzles concern: (1) reasons for attitudes of the “right kind”, (2) evidence as reasons, (3) normative facts as reasons, (4) subjective reasons, and (5) attitudes as reasons. (shrink)

A critical survey of various positions on the nature, use, possession, and analysis of normative concepts. We frame our treatment around G.E. Moore’s Open Question Argument, and the ways metaethicists have responded by departing from a Classical Theory of concepts. In addition to the Classical Theory, we discuss synthetic naturalism, noncognitivism (expressivist and inferentialist), prototype theory, network theory, and empirical linguistic approaches. Although written for a general philosophical audience, we attempt to provide a new perspective and highlight some underappreciated problems (...) about normative concepts. (shrink)

One common attitude toward abstract objects is a kind of platonism: a view on which those objects are mind-independent and causally inert. But there's an epistemological problem here: given any naturalistically respectable understanding of how our minds work, we can't be in any sort of contact with mind-independent, causally inert objects. So platonists, in order to avoid skepticism, tend to endorse epistemological theories on which knowledge is easy, in the sense that it requires no such contact—appeals to Boghossian’s notion of (...) epistemic analyticity are particularly common here, as are appeals to some broadly pragmatic account of the good standing of basic beliefs. I argue, though, that these appeals are hopeless: an argument adapted from the Benacerraf–Field challenge shows that, even if some such theory can deliver the verdict that our beliefs about abstract objects have some prima facie good standing, this good standing will inevitably be defeated. (shrink)

According to non-doxastic theories of propositional faith, belief that p is not necessary for faith that p. Rather, propositional faith merely requires a ‘positive cognitive attitude’. This broad condition, however, can be satisfied by several pragmatic approaches to a domain, including fictionalism. This paper shows precisely how fictionalists can have faith given non-doxastic theory, and explains why this is problematic. It then explores one means of separating the two theories, in virtue of the fact that the truth of the propositions (...) in a discourse is of little consequence for fictionalists, whereas their truth matters deeply for the faithful. Although promising, this approach incurs several theoretical costs, hence providing a compelling reason to favour a purely doxastic account of faith. (shrink)

This paper addresses the nature and relationship of morality and self-interest, arguing that what we morally ought to do almost always conflicts with what we self-interestedly ought to do. The concept of morality is analyzed as being essentially and radically other-regarding, and the category of the supererogatory is explained as consisting in what we morally ought to do but are not socially expected to do. I express skepticism about whether there is a coherent question, ‘Which ought I all things considered (...) to obey?’ and suggest that the best substitute is a question about which is more important for me. Importance for a person, in turn, is explained as dependent upon what a person is disposed to care about. I suggest that morality and self-interest are both relatively unimportant for us when compared with our other ends. (shrink)

Religious fictionalism is the theory that it is morally and intellectually legitimate to affirm religious sentences and to engage in public and private religious practices, without believing the content of religious claims. This article discusses the main features of fictionalism, contrasts hermeneutic, and revolutionary kinds of fictionalism and explores possible historical and recent examples of religious fictionalism. Such examples are found in recent theories of faith, pragmatic approaches to religion, and mystical traditions in religious theology.

When you don’t believe a speaker’s testimony for reasons that call into question the speaker’s credibility, it seems that this is an insult against the speaker. There also appears to be moral reasons that count in favour of refraining from insulting someone. When taken together, these two plausible claims entail that we have a moral reason to refrain from insulting speakers with our lack of belief, and hence, sometimes, a moral reason to believe the testimony of speakers. Reasons for belief (...) arising from non-epistemic sources are controversial, and it’s often argued that it’s impossible to base a belief on non-epistemic reasons. However, I will show that even if it is possible to base a belief on non-epistemic reasons, in the case of testimonial insult, for many or most cases, the moral reasons for belief don’t need to be the basis of our doxastic response. This is because there are, in many or most cases, either sufficient epistemic reasons for belief, or sufficient moral reasons for action that guide our response to testimony. Reasons from testimonial insult, in many cases, simply lead to overdetermination. Even if there are such moral reasons for belief, they are therefore practically unnecessary in many cases. There are, though, some cases in which they play an important role in guiding belief. This perhaps surprising conclusion is one unexplored way to defend epistemic over pragmatic reasons for belief. (shrink)

I argue that Quinean naturalists’ holism-based arguments against analyticity and apriority are more difficult to resist than is generally supposed, for two reasons. First, although opponents of naturalism sometimes dismiss these arguments on the grounds that the holistic premises on which they depend are unacceptably radical, it turns out that the sort of holism required by these arguments is actually quite minimal. And second, although it’s true, as Grice and Strawson pointed out long ago, that these arguments can succeed only (...) if there isn’t any principled criterion for meaning change, such a criterion turns out to be hard to come by. David Chalmers has recently argued that such a criterion must exist, since the norms governing belief revision are subject to obvious exceptions that can be explained only by appeal to meaning change. But this, I argue, is incorrect: if choices about how to use language are themselves rationally assessable, then there are no such exceptions to be explained. To show that this is so, I formulate a new kind of coherence norm that may be useful for reasoning formally about the relationship between meaning and evidence. (shrink)

We explain and explore class-theoretic potentialism—the view that one can always individuate more classes over a set-theoretic universe. We examine some motivations for class-theoretic potentialism, before proving some results concerning the relevant potentialist systems (in particular exhibiting failures of the $\mathsf {.2}$ and $\mathsf {.3}$ axioms). We then discuss the significance of these results for the different kinds of class-theoretic potentialists.

Recent work by Brian Skyrms offers a very general way to think about how information flows and evolves in biological networks — from the way monkeys in a troop communicate, to the way cells in a body coordinate their actions. A central feature of his account is a way to formally measure the quantity of information contained in the signals in these networks. In this paper, we argue there is a tension between how Skyrms talks of signalling networks and his (...) formal measure of information. Although Skyrms refers to both how information flows through networks and that signals carry information, we show that his formal measure only captures the latter. We then suggest that to capture the notion of flow in signalling networks, we need to treat them as causal networks. This provides the formal tools to define a measure that does capture flow, and we do so by drawing on recent work defining causal specificity. Finally, we suggest that this new measure is crucial if we wish to explain how evolution creates information. For signals to play a role in explaining their own origins and stability, they can’t just carry information about acts: they must be difference-makers for acts. (shrink)

Often philosophers, logicians, and mathematicians employ a notion of intended structure when talking about a branch of mathematics. In addition, we know that there are foundational mathematical theories that can find representatives for the objects of informal mathematics. In this paper, we examine how faithfully foundational theories can represent intended structures, and show that this question is closely linked to the decidability of the theory of the intended structure. We argue that this sheds light on the trade-off between expressive power (...) and meta-theoretic properties when comparing first-order and second-order logic. (shrink)

I believe that normative force depends on desire. This view faces serious difficulties, however, and has yet to be vindicated. This paper sketches an Argument from Voluntary Response, attempting to establish this dependence of normativity on desire by appeal to the autonomous character of our experience of normative authority, and the voluntary character of our responses to it. I first offer an account of desiring as mentally aiming intrinsically at some end. I then argue that behaviour is only voluntary if (...) it results from such aiming; hence all voluntary behaviour is produced by desire. Full-blooded responses to normativity, I then argue, are voluntary actions: motivation to act arises voluntarily from perception of reasons to act. This fits the desire-based model of normativity but not its rivals. However this argument concludes merely that our responses to normativity are desire-based. I end with some observations about how I think we can bridge the gap from the nature of response to normativity to the nature of normativity itself. (shrink)

What obligations are there on voters? This paper argues that voters should make their electoral decision competently, and does so by developing on a recent proposal for democratic legitimacy. It then explores three problems arising from this ‘competency obligation’. First, how should voters be competent? I propose three conditions required for voter competence. Second, how competent should voters be? I argue that the competency required tracks the significance of the consequences of the vote. Third, if the electorate are unlikely to (...) deliver a competent decision, should suffrage be restricted to the competent alone? I defend unrestricted suffrage on the grounds that restricting suffrage cannot guarantee a competently made electoral decision. Instead, obligations on voters should be minimised by political parties satisfying their obligations to be politically sound; if they are sound, then the obligation to be competent can be easily satisfied by voters. (shrink)

ABSTRACT This commentary shows how Dormandy’s ‘Partiality Norm of Belief for Faith’ can be made compatible with ‘Evidentialism about Faith’. Dormandy takes partiality to involve disrespect toward evidence—where evidence we are partial toward is given undue weight. I propose an alternative where partiality is to require more or less evidence for believing a proposition given the benefits or harms of holding the belief. Rather than disrespecting evidence, this partiality is simply to have variable ‘evidence thresholds’ that are partly set by (...) pragmatic considerations. Evidence is not disrespected; an agent just requires more or less of it on pragmatic grounds. (shrink)

This paper argues that the innovation of an ordering source parameter in the standard Lewis-Kratzer semantics for modals was a mistake, at least for English auxiliaries like ‘ought’, and that a simpler dyadic semantics (as proposed in my earlier work) provides a superior account of normative uses of modals. I programmatically investigate problems arising from (i) instrumental conditionals, (ii) gradability and “weak necessity”, (iii) information-sensitivity, and (iv) conflicts, and show how the simpler semantics provides intuitive solutions given three basic moves: (...) (1) an end-relational analysis of normative modality, (2) a “most” analysis of “weak necessity”, and (3) well-motivated appeals to pragmatics. I conclude with metasemantic observations about the desiderata for a semantics for ‘ought’. (shrink)

The cultivation of intellectual character is an important goal within university education. This article focusses on cultivating intellectual humility. It first explores an account of intellectual humility from recent literature on the intellectual virtues. Then, it considers one recent pedagogical approach – Making Thinking Visible – as a means of teaching intellectual virtue. It assesses one particular technique for cultivating intellectual humility arising from this pedagogical literature, and applies it to the teaching of political philosophy. Finally, there is a discussion (...) concerning how to supplement these techniques to best teach political philosophy generally, and for the purposes of cultivating intellectual humility in particular. It is argued that, by introducing the technique of the Circle of Viewpoints, supplemented by techniques from the Compassion in Education literature, the modules I teach can better cultivate intellectual humility in my students. (shrink)

It is standard in set theory to assume that Cantor's Theorem establishes that the continuum is an uncountable set. A challenge for this position comes from the observation that through forcing one can collapse any cardinal to the countable and that the continuum can be made arbitrarily large. In this paper, we present a different take on the relationship between Cantor's Theorem and extensions of universes, arguing that they can be seen as showing that every set is countable and that (...) the continuum is a proper class. We examine several principles based on maximality considerations in this framework, and show how some (namely Ordinal Inner Model Hypotheses) enable us to incorporate standard set theories (including ZFC with large cardinals added). We conclude that the systems considered raise questions concerning the foundational purposes of set theory. (shrink)

The purpose of this project is to argue that we possess a minimal self. It will demonstrate that minimal selfhood arrives early in our development and continues to remain and influence us throughout our entire life. There are two areas of research which shape my understanding of the minimal self: phenomenology and enactivism. Phenomenology emphasizes the sense of givenness, ownership, or mineness that accompanies all of our experiences. Enactivism says there is a sensorimotor coupling that occurs between us and the (...) environment in a way which modulates the dynamic patterns of our self development; the laying down of these basic patterns helps make us who we are and gives rise to the phenomenological, experiential mineness. Drawing on these two core ideas, I will be arguing for a Phenomenological-Enactive Minimal Self. I will be emphasizing the role of the body and the role of affects as the most important components relevant to understanding minimal selfhood. Put more concretely, the set of conditions which constitute the PEMS view are: The minimal self is the experiential subject; the minimal sense of self is present whenever there is awareness. It is the subjectivity of experience, the sense of mineness, or givenness which our experiences contain. The phenomenological part of the PEMS view turns on the idea of a bodily and dynamic integration of sensorimotor coupling and affective experience. It is, ontologically speaking, the lived body in enactive engagement with the environment. It is this embodied subject which anchors and forms the foundation for the later ‘narrative’ self, which emerges from it and which is continually influenced by it. It is the subject enactively engaged with others, dependent on sensorimotor processes and affects. We have an identity, but it emerges from relational and dynamic processes. (shrink)

A pervasive thought in contemporary philosophy of mathematics is that in order to justify reflection principles, one must hold universism: the view that there is a single universe of pure sets. I challenge this kind of reasoning by contrasting universism with a Zermelian form of multiversism. I argue that if extant justifications of reflection principles using notions of richness are acceptable for the universist, then the Zermelian can use similar justifications. However, I note that for some forms of richness argument, (...) the status of reflection principles as axioms is left open for the Zermelian. (shrink)

Introduction to a special issue of PPQ of papers from a conference on deontic modality held at USC in 2013.

Discussion of new axioms for set theory has often focused on conceptions of maximality, and how these might relate to the iterative conception of set. This paper provides critical appraisal of how certain maximality axioms behave on different conceptions of ontology concerning the iterative conception. In particular, we argue that forms of multiversism (the view that any universe of a certain kind can be extended) and actualism (the view that there are universes that cannot be extended in particular ways) face (...) complementary problems. The latter view is unable to use maximality axioms that make use of extensions, where the former has to contend with the existence of extensions violating maximality axioms. An analysis of two kinds of multiversism, a Zermelian form and Skolemite form, leads to the conclusion that the kind of maximality captured by an axiom differs substantially according to background ontology. (shrink)

On a widespread naturalist view, the meanings of mathematical terms are determined, and can only be determined, by the way we use mathematical language—in particular, by the basic mathematical principles we’re disposed to accept. But it’s mysterious how this can be so, since, as is well known, minimally strong first-order theories are non-categorical and so are compatible with countless non-isomorphic interpretations. As for second-order theories: though they typically enjoy categoricity results—for instance, Dedekind’s categoricity theorem for second-order and Zermelo’s quasi-categoricity theorem (...) for second-order —these results require full second-order logic. So appealing to these results seems only to push the problem back, since the principles of second-order logic are themselves non-categorical: those principles are compatible with restricted interpretations of the second-order quantifiers on which Dedekind’s and Zermelo’s results are no longer available. In this paper, we provide a naturalist-friendly, non-revisionary solution to an analogous but seemingly more basic problem—Carnap’s Categoricity Problem for propositional and first-order logic—and show that our solution generalizes, giving us full second-order logic and thereby securing the categoricity or quasi-categoricity of second-order mathematical theories. Briefly, the first-order quantifiers have their intended interpretation, we claim, because we’re disposed to follow the quantifier rules in an open-ended way. As we show, given this open-endedness, the interpretation of the quantifiers must be permutation-invariant and so, by a theorem recently proved by Bonnay and Westerståhl, must be the standard interpretation. Analogously for the second-order case: we prove, by generalizing Bonnay and Westerståhl’s theorem, that the permutation invariance of the interpretation of the second-order quantifiers, guaranteed once again by the open-endedness of our inferential dispositions, suffices to yield full second-order logic. (shrink)

We introduce and consider the inner-model reflection principle, which asserts that whenever a statement \varphi(a) in the first-order language of set theory is true in the set-theoretic universe V, then it is also true in a proper inner model W \subset A. A stronger principle, the ground-model reflection principle, asserts that any such \varphi(a) true in V is also true in some non-trivial ground model of the universe with respect to set forcing. These principles each express a form of width (...) reflection in contrast to the usual height reflection of the Lévy–Montague reflection theorem. They are each equiconsistent with ZFC and indeed \Pi_2-conservative over ZFC, being forceable by class forcing while preserving any desired rank-initial segment of the universe. Furthermore, the inner-model reflection principle is a consequence of the existence of sufficient large cardinals, and lightface formulations of the reflection principles follow from the maximality principle MP and from the inner-model hypothesis IMH. We also consider some questions concerning the expressibility of the principles. (shrink)