The topic of this thesis is axiological uncertainty – the question of how you should evaluate your options if you are uncertain about which axiology is true. As an answer, I defend Expected Value Maximisation (EVM), the view that one option is better than another if and only if it has the greater expected value across axiologies. More precisely, I explore the axiomatic foundations of this view. I employ results from state-dependent utility theory, extend them in various ways and interpret (...) them accordingly, and thus provide axiomatisations of EVM as a theory of axiological uncertainty. (shrink)

The normative mechanics of promising seem complex. The strength and content of promissory obligations, and the residual duties they entail upon being violated, have various prima facie surprising features. We give an account to explain these features. Promises have a point. The point of a promise to φ is a promise-independent reason to φ for the promisee’s sake. A promise turns this reason into a duty. This explains the mechanics of promises. And it grounds a nuanced picture of immoral promises, (...) an argument against promissory bare wrongings, and a constraint on theories of why we have promissory obligations at all. (shrink)

How ought you to evaluate your options if you’re uncertain about which axiology is true? One prominent response is Expected Moral Value Maximisation, the view that under axiological uncertainty, an option is better than another if and only if it has the greater expected moral value across axiologies. EMVM raises two fundamental questions. First, there’s a question about what it should even mean. In particular, it presupposes that we can compare moral value across axiologies. So to even understand EMVM, we (...) need to explain what it is for such comparisons to hold. Second, assuming that we understand it, there’s a question about whether EMVM is true. Since there are many plausible rivals, we need an argument to defend it. In this paper, I’ll introduce a representation theorem for axiological uncertainty to answer these two questions. Roughly, the theorem shows that if all our axiologies satisfy the von Neumann–Morgenstern axioms, and if the facts about which options are better than which in light of your uncertainty also satisfy these axioms as well as a Pareto condition, then these facts have a relevantly unique expected utility representation. If I’m right, this theorem at once affords us a compelling way to understand EMVM—and specifically intertheoretic comparisons—and a systematic argument for its truth. (shrink)

Intuitively, we lack the standing to blame others in light of moral norms that we ourselves don't take seriously: if Adam is unrepentantly aggressive, say, he lacks the standing to blame Celia for her aggressiveness. But why does blame have this feature? Existing proposals try to explain this by reference to specific principles of normative ethics – e.g. to rule‐consequentialist considerations, to the wrongness of hypocritical blame, or principles of rights‐forfeiture based on this wrongness. In this paper, I suggest a (...) fundamentally different approach. Employing Timothy Williamson's idea of ‘constitutive rules’ of speech acts, I argue that this feature of blame is simply constitutive of any essentially moral form of disapproval. So if Adam had the standing to disapprove of Celia's aggressiveness in some form, necessarily, this disapproval couldn't be blame. If I'm right, this proposal thus not only answers our main question, but also sheds an interesting novel light on the very nature of blame. If we didn't have a form of disapproval with that feature, we wouldn't have our practice of holding each other to moral norms. (shrink)

How ought you to evaluate your options if you're uncertain about what's fundamentally valuable? A prominent response is Expected Value Maximisation (EVM)—the view that under axiological uncertainty, an option is better than another if and only if it has the greater expected value across axiologies. But the expected value of an option depends on quantitative probability and value facts, and in particular on value comparisons across axiologies. We need to explain what it is for such facts to hold. Also, EVM (...) is by no means self-evident. We need an argument to defend that it’s true. This book introduces an axiomatic approach to answer these worries. It provides an explication of what EVM means by use of representation theorems: intertheoretic comparisons can be understood in terms of facts about which options are better than which, and mutatis mutandis for intratheoretic comparisons and axiological probabilities. And it provides a systematic argument to the effect that EVM is true: the theory can be vindicated through simple axioms. The result is a formally cogent and philosophically compelling extension of standard decision theory, and original take on the problem of axiological or normative uncertainty. (shrink)

According to the standard account of forgiveness, you forgive your wrongdoer by overcoming your resentment towards them. But how exactly must you do so? And when is such overcoming fitting? The aim of this paper is to introduce a novel version of the standard account to answer these questions. Its core idea is that the reactive attitudes are a fitting response not just to someone’s blameworthiness, but to their blameworthiness being significant for you, or worthy of your caring, in virtue (...) of your relationship to it. Someone’s blameworthiness is significant for you to the extent you’re bound up with what grounds it––e.g. with the wrongdoer’s being a participant in human relationships, with their attitudes, or with the victim’s being a source of demands. So you may fittingly not care about someone’s blameworthiness if it’s sufficiently insignificant for you in this manner––e.g. if their wrong happened far off in place and time. And forgiveness revolves around this. You forgive your wrongdoer if and only if, partly out of goodwill towards them, you cease to care about their blameworthiness––a bit as if their wrong had happened far off. If I’m right, this agent-relativity-based account can resolve the apparent ‘paradoxy of forgiveness’, satisfies a number of desiderata, and is plausible on an intuitive level. (shrink)

What makes your life go well for you? In this paper, we give an account of welfare. Our core idea is simple. There are impersonally good and bad things out there: things that are good or bad period, not (or not only) good or bad for someone. The life that is good for you is the life in contact with the good. We’ll understand the relevant notion of ‘contact’ here in terms of manifestation: you’re in contact with a value either (...) when it is manifest in parts of your life or parts of your life are manifest in it. So, the more the good is manifest in your life, or your life manifest in the good, the better for you. The more the bad is manifest in your life, or your life manifest in the bad, the worse for you. We’ll argue that this account is extensionally adequate: it explains the welfare value of achievements, friendships, knowledge, pleasures and virtues. Moreover, it has a number of explanatory virtues: it’s unified, elegant and explanatorily powerful. So, we’ll suggest, it’s an excellent account of welfare, and in many ways superior to its main competitors. (shrink)

Many people think that if you're uncertain about which moral theory is correct, you ought to maximize the expected choice-worthiness of your actions. This idea presupposes that the strengths of our moral reasons are comparable across theories – for instance, that our reasons to create new people, according to total utilitarianism, can be stronger than our reasons to benefit an existing person, according to a person-affecting view. But how can we make sense of such comparisons? In this article, I introduce (...) a constructivist account of intertheoretic comparisons. On this account, such comparisons don't hold independently of facts about morally uncertain agents. They're simply the result of an ideal deliberation in terms of certain epistemic norms about what you ought to do in light of your uncertainty. If I'm right, this account is metaphysically more parsimonious than some existing proposals, and yet has plausible and strong implications. (shrink)

The standard argument for longtermism assumes that we should care as much about far future people as about our contemporaries. I challenge this assumption. I first consider existing interpretations of ‘temporal discounting’, and argue that such discounting seems either unwarranted or insufficient to block the argument. I then offer two alternative reasons to care less about far future people: caring as much about them as about our contemporaries would make our lives less authentic and less meaningful. If I’m right, this (...) undermines at least the strongest versions of longtermism. Plausibly, we should do much more for the far future than we’re currently doing. Still, we often ought to act for contemporaries’ sakes, even if longtermist actions would expectably do more good. (shrink)

Organizations have neither a right to the vote nor a weighty right to life. We need not enfranchise Goldman Sachs. We should feel few scruples in dissolving Standard Oil. But they are not without rights altogether. We can owe it to them to keep our promises. We can owe them debts of gratitude. Thus, we can owe some things to organizations. But we cannot owe them everything we can owe to people. They seem to have a peculiar, fragmented moral status. (...) What explains this? Individualistic views explain this in terms of individualistic notions alone. Such notions don’t invoke any distinctive features of organizations. They just invoke the features of individual members of organizations. Collectivistic views, instead, explain this in terms of collective notions alone. Such notions don’t invoke the features of individual members of organizations. They just invoke the features of those organizations. We argue that neither approach works. Instead, one needs to synthesize the two approaches. Some individual interests, we think, are distinctively collective. We, as individuals, have a distinctive interest in playing a part in successful collective action. From this, so we argue, flows the apparently peculiar, fragmented moral status of organizations. (shrink)

Is it appropriate to blame people unequally if the only difference between them was a matter of luck? Suppose Alice would drive recklessly if she could, Belen drove recklessly but didn’t harm anyone, and Cleo drove recklessly and killed a child. Luck-advocates emphasize that in real life we do blame such agents very unequally. Luck-skeptics counter that people aren’t responsible for factors beyond their control, or beyond their quality of will. I’ll defend a somewhat reconciliatory view. I’ll concede to the (...) skeptics that these agents are equally culpable. Nonetheless, I’ll suggest with the luck-advocates that it’s fitting to blame them unequally. That’s because their culpability is unequally significant for us: Cleo’s culpability concerns us more than Belen’s, and Belen’s more than Alice’s—just like the fault of a close aggressor concerns us more than that of an aggressor far off in place and time. And it’s fitting for us to respond with more blame to faults that concern us more. Indeed, blaming people simply in proportion to their culpability manifests a form of fetishism, or problematic mere-matter-of-principle concern. So while many skeptical tenets may hold, in substance the luck-advocates are right. (shrink)

What are the fittingness conditions of gratitude? One assumption seems unquestioned in the literature: that whenever it’s fitting for you to be grateful to me, that’s because I’ve benefitted or tried to benefit you. In this paper, I argue that that’s false. You may sometimes fittingly be grateful precisely because I refrained from benefitting you. Or you may be grateful because I omitted to instrumentalise you, or treated you justly – where this isn’t reducible to benefits. Morality isn’t all about (...) benefits, so gratitude isn’t either. Instead, gratitude is the proper response to being shown more positive moral regard than you’re owed – where such regard might consist in beneficence, or respect, or in whatever kind of positive moral attitude. (shrink)

“Existential risks” are risks that threaten the destruction of humanity’s long-term potential: risks of nuclear wars, pandemics, supervolcano eruptions, and so on. On standard utilitarianism, it seems, the reduction of such risks should be a key global priority today. Many effective altruists agree with this verdict. But how should the importance of these risks be assessed on a Christian moral theory? In this paper, I begin to answer this question – taking Thomas Aquinas as a reference, and the risks of (...) anthropogenic extinction as an example. I’ll suggest that on a Thomist framework, driving ourselves extinct would constitute a complete failure to fulfil our God-given nature, a radical form of hubris, and a loss of cosmological significance. So the reduction of such risks seems vital for Thomists, or Christians more broadly. Indeed, I end with the thought that these considerations are not parochially Christian, or indeed specifically religious: everyone with a similar view of mankind – as immensely valuable yet fallen and fragile – should agree that existential risks are a pressing moral concern. (shrink)

There seem to be many kinds of moral duties. We should keep our promises; we should pay our debts of gratitude; we should compensate those we’ve wronged; we should avoid doing or intending harm; we should help those in need. These constitute, some worry, an unconnected heap of duties: the realm of commonsense morality is a disorganized mess. In this paper, we outline a strategy for unifying commonsense moral duties. We argue that they can be understood in terms of contact (...) with value. You are in contact with a value when you are manifest in it or when it is manifest in you. You have reason to get in contact with the good and avoid contact with evil. And when you’re in contact with a value, the weight of the reasons it grounds are amplified for you. These ideas, we argue, can bring order to the chaos of commonsense morality. (shrink)

In this essay, I shall briefly present Epistemic Contextualism (EC), Invariantism and Interest- Relative Invariantism (IRI) (section 2). Then I will discuss three theses of Jason Stanley’s Knowledge and Practical Interests (Oxford 2005). I argue that Stanley’s case against Contextualism is based on a misconception of its semantic nature, that there is a disadvantage for Interest-Relative Invariantism in terms of the sceptical paradox and that Stanley’s explanation of intuitions can be interpreted in favour of Contextualism (sections 3.1. - 3.3.).

Effective altruism has become a worldwide phenomenon. The movement combines empathy and reason in the attempt to improve the world. Adherents don’t let moral gut instincts dictate their altruistic efforts, but use evidence and reflection to do the most good they can. Effective altruism originated, and primarily grew, in strongly secular environments—such as philosophy departments or Silicon Valley. So far, a religious perspective on this movement has been lacking. What can people of faith learn from effective altruism? What may they (...) criticise? What can effective altruism in turn take from religion? This volume offers a first examination of these questions, covering various Christian as well as Jewish and Buddhist perspectives. (shrink)

Formula One isn’t very important. You can't care about it too much. The refugee crisis is more important. You can care about it much more. In this paper we investigate how important something is. By ‘importance’ we mean how much it is fitting to care about a thing. We explore a view about this which we call Proportionalism. This view says that a thing’s importance depends on that thing’s share of the world’s total value. The more of what matters there (...) is, the less you can care about each thing in particular. The less of what matters there is, the more you can care about each thing in particular. We argue that, in many respects, Proportionalism is superior to its competitors. It captures some intuitions they leave out and it has a powerful motivation. So, we suggest, you should keep things in proportion. (shrink)

Stefan Collini challenges the common claim that universities need to show that they help to make money in order to justify getting more money.

Einleitung -- Charismatische Herrschaft -- Traditionale Herrschaft -- Traditionale und charismatische Herrschaft im vorrationalen Okzident: Antike -- Traditionale und charismatische Herrschaft im vorrationalen Okzident: Mittelalter -- Legale Herrschaft.

Artificial Intelligence (AI) is increasingly adopted in society, creating numerous opportunities but at the same time posing ethical challenges. Many of these are familiar, such as issues of fairness, responsibility and privacy, but are presented in a new and challenging guise due to our limited ability to steer and predict the outputs of AI systems. This chapter first introduces these ethical challenges, stressing that overviews of values are a good starting point but frequently fail to suffice due to the context (...) sensitivity of ethical challenges. Frequently, additional (ethical) values emerge for specific applications, as e.g. challenges with fraud detection are very different from those around language technologies. Second, methods to tackle these challenges are discussed. Main ethical theories (virtue ethics, consequentialism, and deontology) are shown to provide a starting point, but often lack the details needed for actionable AI Ethics. Instead, mid-level philosophical theories coupled to design-approaches such as Design for Values, together with interdisciplinary working methods, offer the best way forwards. The chapter aims to show how these approaches can lead to an ethics of AI that is actionable and that can be proactively integrated in the design of AI systems. (shrink)

Explainable artificial intelligence (XAI) aims to help people understand black box algorithms, particularly of their outputs. But what are these explanations and when is one explanation better than another? The manipulationist definition of explanation from the philosophy of science offers good answers to these questions, holding that an explanation consists of a generalization that shows what happens in counterfactual cases. Furthermore, when it comes to explanatory depth this account holds that a generalization that has more abstract variables, is broader in (...) scope and/or more accurate is better. By applying these definitions and contrasting them with alternative definitions in the XAI literature I hope to help clarify what a good explanation is for AI. (shrink)

This imaginative and unusual book explores the moral sensibilities and cultural assumptions that were at the heart of political debate in Victorian and early twentieth-century Britain. It focuses on the role of intellectuals as public moralists and suggests ways in which their more formal political theory rested upon habits of response and evaluation that were deeply embedded in wider social attitudes and aesthetic judgments. Collini examines the characteristic idioms and strategies of argument employed in periodical and polemical writing, and reconstructs (...) the sense of identity and of relation to an audience exhibited by social critics from John Stuart Mill and Matthew Arnold to J.M. Keynes and F.R. Leavis. (shrink)

According to an increasingly popular view among philosophers of science, both causal and non-causal explanations can be accounted for by a single theory: the counterfactual theory of explanation. A kind of non-causal explanation that has gained much attention recently but that this theory seems unable to account for are grounding explanations. Reutlinger :239-256, 2017) has argued that, despite these appearances to the contrary, such explanations are covered by his version of the counterfactual theory. His idea is supported by recent work (...) on grounding by Schaffer and Wilson who claim there to be a tight connection between grounding and counterfactual dependence. The present paper evaluates the prospects of the idea. We show that there is only a weak sense in which grounding explanations convey information about counterfactual dependencies, and that this fact cannot plausibly be taken to reveal a distinctive feature that grounding explanations share with other kinds of explanations. (shrink)

Examines widespread myths about transhumanism and explores the most pressing ethical issues in the debate over technologically assisted human enhancement.

Between 1918 and 1933, the masses became a decisive preoccupation of European culture, fueling modernist movements in art, literature, architecture, theater, and cinema, as well as the rise of communism and fascism and experiments in radical democracy. Spanning aesthetics, cultural studies, intellectual history, and political theory, this volume unpacks the significance of the shadow agent known as "the mass" during a critical period in European history. It follows its evolution into the preferred conceptual tool for social scientists, the ideal slogan (...) for politicians, and the chosen image for artists and writers trying to capture a society in flux and a people in upheaval. This volume is the second installment in Stefan Jonsson's epic study of the crowd and the mass in modern Europe, building on his work in _A Brief History of the Masses_, which focused on monumental artworks produced in 1789, 1889, and 1989. (shrink)

This study defends the legitimacy of the Enlightenment project by way of its different realizations in the philosophies of Immanuel Kant and Friedrich Heinrich Jacobi. Today, Enlightenment as a cosmopolitan project with a global claim is often considered synonymous with Western chauvinism. The assertion of a universally binding reason is all too obviously inconsistent with the much-cited recognition of cultural differences. In contrast, it is the conviction brought forward in this book that an adequately understood Enlightenment is an unconditional right (...) of every person taking an active interest in a self-determined way of life. Only the realization of this conception of Enlightenment can provide the required space for the reciprocal recognition of human differences to freely unfold. (shrink)

Sur la décomposition des ensembles de points en parties respectivement congruentes.

Stefan Jonsson uses three monumental works of art to build a provocative history of popular revolt: Jacques-Louis David's _The Tennis Court Oath_ (1791), James Ensor's _Christ's Entry into Brussels in 1889_ (1888), and Alfredo Jaar's _They Loved It So Much, the Revolution_ (1989). Addressing, respectively, the French Revolution of 1789, Belgium's proletarian messianism in the 1880s, and the worldwide rebellions and revolutions of 1968, these canonical images not only depict an alternative view of history but offer a new understanding (...) of the relationship between art and politics and the revolutionary nature of true democracy. Drawing on examples from literature, politics, philosophy, and other works of art, Jonsson carefully constructs his portrait, revealing surprising parallels between the political representation of "the people" in government and their aesthetic representation in painting. Both essentially "frame" the people, Jonsson argues, defining them as elites or masses, responsible citizens or angry mobs. Yet in the aesthetic fantasies of David, Ensor, and Jaar, Jonsson finds a different understanding of democracy-one in which human collectives break the frame and enter the picture. Connecting the achievements and failures of past revolutions to current political issues, Jonsson then situates our present moment in a long historical drama of popular unrest, making his book both a cultural history and a contemporary discussion about the fate of democracy in our globalized world. (shrink)

How do we get out knowledge of the natural numbers? Various philosophical accounts exist, but there has been comparatively little attention to psychological data on how the learning process actually takes place. I work through the psychological literature on number acquisition with the aim of characterising the acquisition stages in formal terms. In doing so, I argue that we need a combination of current neologicist accounts and accounts such as that of Parsons. In particular, I argue that we learn the (...) initial segment of the natural numbers on the basis of the Fregean definitions, but do not learn the natural number structure as a whole on the basis of Hume's principle. Therefore, we need to account for some of the consistency of our number concepts with the Dedekind-Peano axioms in other terms. (shrink)

The desideratum of semantic interoperability has been intensively discussed in medical informatics circles in recent years. Originally, experts assumed that this issue could be sufficiently addressed by insisting simply on the application of shared clinical terminologies or clinical information models. However, the use of the term ‘ontology’ has been steadily increasing more recently. We discuss criteria for distinguishing clinical ontologies from clinical terminologies and information models. Then, we briefly present the role clinical ontologies play in two multicentric research projects. Finally, (...) we discuss the interactions between these different kinds of knowledge representation artifacts and the stakeholders involved in developing interoperational real-world clinical applications. We provide ontology engineering examples from two EU-funded projects. (shrink)

The pivotal role of the relation part-of in the description of living organisms is widely acknowledged. Organisms are open systems, which means that in contradistinction to mechanical artifacts they are characterized by a continuous flow and exchange of matter. A closer analysis of the spatial relations in biological organisms reveals that the decision as to whether a given particular is part-of a second particular or whether it is only contained-in the second particular is often controversial. We here propose a rule-based (...) approach which allows us to decide on the basis of well-defined criteria which of the two relations holds between two anatomical objects, given that one spatially includes the other. We discuss the advantages and limitations of this approach, using concrete examples from human anatomy. (shrink)

Towards a critical posthumanism -- Genealogy of posthumanism -- Our posthuman humanity and the multiplicity of its forms -- Posthumanism and science fiction -- Interdisciplinarity and the posthumanities -- Posthumanism, digitalization, and new media -- Posthumanity, subject, and system -- Other side of life.

The Approximate Number System (ANS) is a system that allows us to distinguish between collections based on the number of items, though only if the ratio between numbers is high enough. One of the questions that has been raised is what the representations involved in this system represent. I point to two important constraints for any account: (a) it doesn’t involve numbers, and (b) it can account for the approximate nature of the ANS. Furthermore, I argue that representations of pure (...) magnitude with vehicles that have an imprecision in the value of the unit of measurement (further clarified through a formal model from measurement theory) fit both these requirements. (shrink)

In this annotated critical edition of Aristotle’s Metaphysics Lambda Stefan Alexandru draws upon many hitherto unexplored sources of the direct and indirect tradition, inter alia upon an independent Greek manuscript he has discovered in the Vatican Library.

Die Frage nach Sinn ist eine bleibend existentielle Frage des Menschen. Sie wird dringend aktuell in einer Zeit zunehmender Säkularisierung und Multioptionalität. Eine Theologie, die die Gesellschft prägen will, muss hierzu eine Antwort aus der Mitte des christlichen Glaubens geben können. Stefan Laurs stellt sich dieser Herausforderung. In Auseinandersetzung mit Charles Taylor und Walter Kasper analysiert er den neuzeitlichen Säkularisierungsprozess und widmet sich insbesondere der damit verbundenen Frage des Menschen nach Sinn und Erfüllung. Dabei wird ersichtlich, dass die Sinnfrage (...) aus theologischer Perspektive in der Gottesfrage zur Darstellung kommt. Nur in Gott, der Liebe ist, findet der Mensch den universalen Sinn un die Erfüllung seines Lebens. (shrink)

Can concepts be acquired by testing hypotheses about these concepts? Fodor famously argued that this is not possible. Testing the correct hypothesis would require already possessing the concept. I argue that this does not generally hold for mathematical concepts. I discuss specific, empirically motivated, hypotheses for number concepts that can be tested without needing to possess the relevant number concepts. I also argue that one can test hypotheses about the identity conditions of other mathematical concepts, and then fix the application (...) conditions based on those hypotheses—under the assumption that the neo‐logicist view on abstraction principles is correct. (shrink)

Die vorliegende Arbeit hat den Leibnizschen metaphysischen Optimismus und einige der weniger bekannten Stationen und Zuge der Rezeption der "Essais de Theodicee" und des Theorems von der besten Welt im deutschen 18. Jahrhundert zum Gegenstand. Sie erhebt nicht den Anspruch, eine auch nur annahernd vollstandige Darstellung des Verlaufes der Debatte um die "beste Welt" zu geben. Angesichts der Fulle der zeitgenossischen Einlassungen und Ausserungen zum Thema war eine Auswahl bestimmter Rezeptionsmomente vorzunehmen. Auf die Prozesse der Verwandlung einer strikt metaphysischen Theodizee (...) hin zu einem populareren, dafur aber auch anfechtbareren Optimismus will diese Arbeit ebenso hinweisen wie auf den Umstand, dass nicht erst die Kantische Schrift "Uber das Misslingen aller philosophischen Versuche in der Theodizee" von 1791 die (philosophische) Problematik der Lehre von der besten Welt dingfest macht. (shrink)

We provide a number of simplified and improved separations between pairs of Resolution-with-bounded-conjunction refutation systems, Res, as well as their tree-like versions, Res⁎. The contradictions we use are natural combinatorial principles: the Least number principle, LNPn and an ordered variant thereof, the Induction principle, IPn.LNPn is known to be easy for Resolution. We prove that its relativization is hard for Resolution, and more generally, the relativization of LNPn iterated d times provides a separation between Res and Res. We prove the (...) same result for the iterated relativization of IPn, where the tree-like variant Res⁎ is considered instead of Res.We go on to provide separations between the parameterized versions of Res and Res. Here we are able again to use the relativization of the LNPn, but the classical proof breaks down and we are forced to use an alternative. Finally, we separate the parameterized versions of Res⁎ and Res⁎. Here, the relativization of IPn will not work as it is, and so we make a vectorizing amendment to it in order to address this shortcoming. (shrink)

Process reliabilist accounts claim that a belief is justified when it is the result of a reliable belief-forming process. Yet over what range of possible token processes is this reliability calculated? I argue against the idea that _all_ possible token processes (in the actual world, or some other subset of possible worlds) are to be considered using the case of a user acquiring beliefs based on the output of an AI system, which is typically reliable for a substantial local range (...) but unreliable when all possible inputs are considered. I show that existing solutions to the generality problem imply that these cases cannot be solved by a more fine-grained typing of the belief-forming process. Instead, I suggest that reliability is evaluated over a range restricted by the content of the actual belief and by the similarity of the input to the actual input. (shrink)

ABSTRACT How do non-experts single out numbers for reference? Linnebo has argued that they do so using a criterion of identity based on the ordinal properties of numerals. Neo-logicists, on the other hand, claim that cardinal properties are the basis of individuation, when they invoke Hume’s Principle. I discuss empirical data from cognitive science and linguistics to answer how non-experts individuate numbers better in practice. I use those findings to develop an alternative account that mixes ordinal and cardinal properties to (...) provide a detailed answer to the question: how do we in fact semantically individuate numbers? (shrink)