Does natural science give us reason to believe that mathematical statements are true? And does natural science give us reason to believe in some particular metaphysics of mathematics? These two questions should be firmly distinguished. My argument in this chapter is that a negative answer to the second question is compatible with an affirmative answer to the first. Loosely put, even if science settles the truth of mathematics, it does not settle its metaphysics.

The aim of this article is to give students a small sense of what metamathematics is—that is, how one might use mathematics to study mathematics itself. School or college teachers could base a classroom exercise on the letter games I shall describe and use them as a springboard for further exploration. Since I shall presuppose no knowledge of formal logic, the games are less an introduction to Gödel's theorems than an introduction to an introduction to them. Nevertheless, they show, in (...) an accessible way, how metamathematics can be mathematically interesting. (shrink)

Mathematical instrumentalism construes some parts of mathematics, typically the abstract ones, as an instrument for establishing statements in other parts of mathematics, typically the elementary ones. Gödel’s second incompleteness theorem seems to show that one cannot prove the consistency of all of mathematics from within elementary mathematics. It is therefore generally thought to defeat instrumentalisms that insist on a proof of the consistency of abstract mathematics from within the elementary portion. This article argues that though some versions of mathematical instrumentalism (...) are defeated by Gödel’s theorem, not all are. By considering inductive reasons in mathematics, we show that some mathematical instrumentalisms survive the theorem. (shrink)

The hard problem of induction is to argue without begging the question that inductive inference, applied properly in the proper circumstances, is conducive to truth. A recent theorem seems to show that the hard problem has a deductive solution. The theorem, provable in ZFC, states that a predictive function M exists with the following property: whatever world we live in, M ncorrectly predicts the world’s present state given its previous states at all times apart from a well-ordered subset. On the (...) usual model of time a well-ordered subset is small relative to the set of all times. M’s existence therefore seems to provide a solution to the hard problem. My paper argues for two conclusions. First, the theorem does not solve the hard problem of induction. More positively though, it solves a version of the problem in which the structure of time is given modulo our choice of set theory. (shrink)

If the total state of the universe is encodable by a real number, Hardin and Taylor have proved that there is a solution to one version of the problem of induction, or at least a solution to a closely related epistemological problem. Is this philosophical application of the Hardin-Taylor result modest enough? The paper advances grounds for doubt. [A longer and more detailed sequel to this paper, 'Proving Induction', was published in the Australasian Journal of Logic in 2011.].

Mathematics is everywhere and yet its objects are nowhere. There may be five apples on the table but the number five itself is not to be found in, on, beside or anywhere near the apples. So if not in space and time, where are numbers and other mathematical objects such as perfect circles and functions? And how do we humans discover facts about them, be it Pythagoras’ Theorem or Fermat’s Last Theorem? The metaphysical question of what numbers are and the (...) epistemological question of how we know about them are central to the philosophy of mathematics. These and related philosophical questions are of particular interest because of mathematics’ unusual status. Mathematics is exceptional in that, on the one hand, it appears unhesitatingly true—no one doubts that 2 + 3 = 5—but on the other, as just noted, it is not about the physical world. This ambivalent status is what gives the philosophy of mathematics its special interest. The philosophy of mathematics is also one of the oldest academic fields, more or less coeval with philosophy itself. But contemporary philosophy of mathematics is rather different from its pre-twentieth-century antecedents, largely for three reasons. The first is that since the seventeenth century, mathematics has become integral to science. Science has over the past few centuries become increasingly mathematical, and indeed the fundamental science of nature, physics, is today recognised as a branch of applied mathematics. The second is that mathematics underwent a transformation in the course of nineteenth century: having started the century as a rather traditional-looking science of quantity it emerged a hundred years later a radically transformed abstract theory of structure. The final factor in the transformation of the philosophy of mathematics is the rise of modern logic. Developed by Frege, Cantor and others in the late nineteenth century, modern logic pervades contemporary mathematics, philosophy and computer science, and has had an immeasurable effect on the philosophy of mathematics. These volumes will collect the major works in this major field, with a focus on the last few decades. The anthology will include technical work, which interprets philosophically significant mathematical results or subfields of mathematics, as well as purely philosophical writing, aimed at those without advanced mathematics. The collection should be of interest to both philosophers and mathematicians, as well as to anyone who is susceptible to wondering what the main intellectual tool used in science, economics and finance, and indeed everyday life is ultimately about. (shrink)

From title to back cover, a polemic runs through David Corfield's "Towards a Philosophy of Real Mathematics". Corfield repeatedly complains that philosophers of mathematics have ignored the interesting and important mathematical developments of the past seventy years, ‘filtering’ the details of mathematical practice out of philosophical discussion. His aim is to remedy the discipline’s long-sightedness and, by precept and example, to redirect philosophical attention towards current developments in mathematics. This review discusses some strands of Corfield’s philosophy of real mathematics and (...) briefly assesses some of his objections to orthodox philosophy of mathematics. (shrink)

Introduction -- What is personal responsibility? -- Ordinary language -- Common conceptions -- What do philosophers mean by responsibility? -- Personally responsible for what? -- What do philosophers think? part I -- Causes -- Capacity -- Control -- Choice versus brute luck -- Second-order attitudes -- Equality of opportunity -- Deservingness -- Reasonableness -- Reciprocity -- Equal shares -- Combining criteria -- What do philosophers think? part II -- Utility -- Self-respect -- Autonomy -- Human flourishing -- Natural duties and (...) special obligations -- A matter of perspectives -- Combining values -- What do politicians think? -- A brief typology -- International comparisons -- Welfare reform -- Healthcare reform -- Rights and responsibilities -- On the responsibilities of politicians -- What do ordinary people think? -- Why ask? -- Attitudes to welfare claimants -- When push comes to shove -- Perceptions and reality -- Further international comparisons -- The trouble with opinion surveys -- Four contemporary issues in focus -- Unemployment -- Health -- Drug abuse -- Personal debt and financial rewards -- So how do we decide? -- Getting the public involved -- Citizens juries -- Answering some potential criticisms. (shrink)

ABSTRACT It has become standard to conceive of metalinguistic disagreement as motivated by a form of negotiation, aimed at reaching consensus because of the practical consequences of using a word with one content rather than another. This paper presents an alternative motive for expressing and pursuing metalinguistic disagreement. In using words with given criteria, we betray our location amongst social categories or groups. Because of this, metalinguistic disagreement can be used as a stage upon which to perform a social identity. (...) The ways in which metalinguistic disagreements motivated in this way diverge in character from metalinguistic negotiations are described, as are several consequences of the existence of metalinguistic disagreements motivated in this way. (shrink)

Euclid’s Elements inspired a number of foundationalist accounts of mathematics, which dominated the epistemology of the discipline for many centuries in the West. Yet surprisingly little has been written by recent philosophers about this conception of mathematical knowledge. The great exception is Imre Lakatos, whose characterisation of the Euclidean Programme in the philosophy of mathematics counts as one of his central contributions. In this essay, we examine Lakatos’s account of the Euclidean Programme with a critical eye, and suggest an alternative (...) picture which builds on his work, but differs in a number of important respects. (shrink)

Discussion of the relevance of grounding to substantiveness, theory-choice, and “location problems” in metaphysics.

In mathematics, the deductive method reigns. Without proof, a claim remains unsolved, a mere conjecture, not something that can be simply assumed; when a proof is found, the problem is solved, it turns into a “result,” something that can be relied on. So mathematicians think. But is there more to mathematical justification than proof? -/- The answer is an emphatic yes, as I explain in this article. I argue that non-deductive justification is in fact pervasive in mathematics, and that it (...) is in good epistemic standing. (shrink)

Achieving space domain awareness requires the identification, characterization, and tracking of space objects. Storing and leveraging associated space object data for purposes such as hostile threat assessment, object identification, and collision prediction and avoidance present further challenges. Space objects are characterized according to a variety of parameters including their identifiers, design specifications, components, subsystems, capabilities, vulnerabilities, origins, missions, orbital elements, patterns of life, processes, operational statuses, and associated persons, organizations, or nations. The Space Object Ontology provides a consensus-based realist framework (...) for formulating such characterizations in a computable fashion. Space object data are aligned with classes and relations in the Space Object Ontology and stored in a dynamically updated Resource Description Framework triple store, which can be queried to support space domain awareness and the needs of spacecraft operators. This paper presents the core of the Space Object Ontology, discusses its advantages over other approaches to space object classification, and demonstrates its ability to combine diverse sets of data from multiple sources within an expandable framework. Finally, we show how the ontology provides benefits for enhancing and maintaining longterm space domain awareness. (shrink)

Can there be grounding without necessitation? Can a fact obtain wholly in virtue of metaphysically more fundamental facts, even though there are possible worlds at which the latter facts obtain but not the former? It is an orthodoxy in recent literature about the nature of grounding, and in first-order philosophical disputes about what grounds what, that the answer is no. I will argue that the correct answer is yes. I present two novel arguments against grounding necessitarianism, and show that grounding (...) contingentism is fully compatible with the various explanatory roles that grounding is widely thought to play. (shrink)

The revival of the philosophy of mathematics in the 60s following its post-1931 slump left us with two conflicting positions on arithmetic’s ontological relationship to set theory. W.V. Quine’s view, presented in 'Word and Object' (1960), was that numbers are sets. The opposing view was advanced in another milestone of twentieth-century philosophy of mathematics, Paul Benacerraf’s 'What Numbers Could Not Be' (1965): one of the things numbers could not be, it explained, was sets; the other thing numbers could not be, (...) even more dramatically, was objects. Curiously, although Benacerraf’s article appeared in the heyday of Quine’s influence, it declined to engage the Quinean position squarely, even seemed to think it was not its business to do so. Despite that, in my experience, most philosophers believe that Benacerraf’s article put paid to the reductionist view that numbers are sets (though perhaps not the view that numbers are objects). My chapter will attempt to overturn this orthodoxy. (shrink)

Otto Neurath’s empiricist methodology of economics and his contributions to politi- cal economy have gained increasing attention in recent years. We connect this research with contemporary debates regarding the epistemological status of thought experiments by reconstructing Neurath’s utopias as linchpins of thought experiments. In our three reconstructed examples of different uses of utopias/dystopias in thought experiments we employ a reformulation of Häggqvist’s model for thought experiments and we argue that: (1) Our reformulation of Häggqvist’s model more adequately complies with many (...) uses of thought experiments, especially with the open-ended discussions of utopias and dys- topias in thought experiments. (2) As a strict logical empiricist, Neurath is committed to a strictly empiricist account of thought experiments. John Norton’s empiricist argument view can indeed account for the justifications of empirical beliefs and genuine discoveries targeted by scientific utopianism in three distinct (yet connected) ways, all of which Neur- ath already contemplated: (2.I) Dealing with utopias and thought experiments on a regular basis increases creativity and inventiveness. (2.II) Particular ways of presenting knowl- edge facilitate scientific discovery and social progress. (2.III) The use of utopias in thought experiments can prompt conceptual change and allow access to new phenomena. We con- clude by highlighting that, even though thought experiments support a positive attitude for exploring new social possibilities, Neurath points out that active decisions are unavoidable. The exploration of alternatives and the awareness of a need for decisions in policy discus- sion avert a technocratic outlook in social science. (shrink)

Whether or not quantum physics can account for molecular structure is a matter of considerable controversy. Three of the problems raised in this regard are the problems of molecular structure. We argue that these problems are just special cases of the measurement problem of quantum mechanics: insofar as the measurement problem is solved, the problems of molecular structure are resolved as well. In addition, we explore one consequence of our argument: that claims about the reduction or emergence of molecular structure (...) cannot be settled independently of the choice of a particular resolution to the measurement problem. Specifically, we consider how three standard putative solutions to the measurement problem inform our under- standing of a molecule in isolation, as well as of chemistry’s relation to quantum physics. (shrink)

This article argues that economic crises are incompatible with the realisation of non-domination in capitalist societies. The ineradicable risk that an economic crisis will occur undermines the robust security of the conditions of non-domination for all citizens, not only those who are harmed by a crisis. I begin by demonstrating that the unemployment caused by economic crises violates the egalitarian dimensions of freedom as non-domination. The lack of employment constitutes an exclusion from the social bases of self-respect, and from a (...) practice of mutual social contribution crucial to the intersubjective affirmation of one’s status. While this argument shows that republicans must be concerned about economic crises, I suggest a more powerful argument can be grounded in the republican requirement that freedom must be robust. The systemic risk of economic crisis constitutes a threat to the conditions of free citizenship that cannot be nullified using policy mechanisms. As a result, republicans appear to be faced with the choice of revising their commitments or rejecting the possibility that republican freedom can be robustly secured in capitalist societies. (shrink)

This short article discusses the fact that the word ‘ancestor’ features in certain arguments that a) are apparently logically valid, b) contain infinitely many premises, and c) are such that none of their finite sub-arguments are logically valid. The article's aim is to motivate, within its brief compass, the study of infinitary logics.

A brief article introducing *One True Logic*. The book argues that there is one correct foundational logic and that it is highly infinitary.

Recent metaphysics has turned its focus to two notions that are—as well as having a common Aristotelian pedigree—widely thought to be intimately related: grounding and essence. Yet how, exactly, the two are related remains opaque. We develop a unified and uniform account of grounding and essence, one which understands them both in terms of a generalized notion of identity examined in recent work by Fabrice Correia, Cian Dorr, Agustín Rayo, and others. We argue that the account comports with antecedently plausible (...) principles governing grounding, essence, and identity taken individually, and illuminates how the three interact. We also argue that the account compares favorably to an alternative unification of grounding and essence recently proposed by Kit Fine. (shrink)

A number of bioethicists have been critical of the power of the family to “veto” a patient’s decision to posthumously donate her organs within opt-in systems of organ procurement. One major objection directed at the family veto is that when families veto the decision of their deceased family member, they do something wrong by violating or failing to respect the autonomy of that deceased family member. The goal of this paper is to make progress on answering this objection. I do (...) this in two stages. First, I argue that the most plausible interpretation of what happens when a person registers as an organ donor in an opt-in system is that she gives her consent to the state to posthumously remove her organs for transplantation purposes. Call this the Authorization Account. Second, given the Authorization Account, I argue by analogy that when families veto an individual’s decision to donate and the individual’s organs are not in the end removed, neither the doctors nor the family violate the individual’s autonomy in any morally objectionable sense. Call this the Nonremoval Thesis. I argue that since the Nonremoval Thesis is true, we do not violate or fail to respect the autonomy of registered donors when we fail to remove their organs because their family has objected. (shrink)

We have begun work on two separate but related ontologies for the study of neurological diseases. The first, the Neurological Disease Ontology (ND), is intended to provide a set of controlled, logically connected classes to describe the range of neurological diseases and their associated signs and symptoms, assessments, diagnoses, and interventions that are encountered in the course of clinical practice. ND is built as an extension of the Ontology for General Medical Sciences — a high-level candidate OBO Foundry ontology that (...) provides a set of general classes that can be used to describe general aspects of medical science. ND is being built with classes utilizing both textual and axiomatized definitions that describe and formalize the relations between instances of other classes within the ontology itself as well as to external ontologies such as the Gene Ontology, Cell Ontology, Protein Ontology, and Chemical Entities of Biological Interest. In addition, references to similar or associated terms in external ontologies, vocabularies and terminologies are included when possible. Initial work on ND is focused on the areas of Alzheimer’s and other diseases associated with dementia, multiple sclerosis, and stroke and cerebrovascular disease. Extensions to additional groups of neurological diseases are planned. The second ontology, the Neuro-Psychological Testing Ontology (NPT), is intended to provide a set of classes for the annotation of neuropsychological testing data. The intention of this ontology is to allow for the integration of results from a variety of neuropsychological tests that assay similar measures of cognitive functioning. Neuro-psychological testing is an important component in developing the clinical picture used in the diagnosis of patients with a range of neurological diseases, such as Alzheimer’s disease and multiple sclerosis, and following stroke or traumatic brain injury. NPT is being developed as an extension to the Ontology for Biomedical Investigations. (shrink)

International regulation of autonomous weapon systems (AWS) is increasingly conceived as an exercise in risk management. This requires a shared approach for assessing the risks of AWS. This paper presents a structured approach to risk assessment and regulation for AWS, adapting a qualitative framework inspired by the Intergovernmental Panel on Climate Change (IPCC). It examines the interactions among key risk factors—determinants, drivers, and types—to evaluate the risk magnitude of AWS and establish risk tolerance thresholds through a risk matrix informed by (...) background knowledge of event likelihood and severity. Further, it proposes a methodology to assess community risk appetite, emphasizing that such assessments and resulting tolerance levels should be determined through deliberation in a multistakeholder forum. The paper highlights the complexities of applying risk-based regulations to AWS internationally, particularly the challenge of defining a global community for risk assessment and regulatory legitimization. (shrink)

A focussed issue of The Reasoner on the topic of 'Infinitary Reasoning'. Owen Griffiths and A.C. Paseau were the guest editors.

Kant’s accounts of the Highest Good and the moral argument for God and immortality are central features of his philosophy. But both involve lingering puzzles. In this entry, we first explore what the Highest Good is for Kant and the role it plays in a complete account of ethical life. We then focus on whether the Highest Good involves individuals only, or whether it also connects with Kant’s doctrines about the moral progress of the species. In conclusion, we look into (...) three ways of articulating the moral argument for God and immorality that take our commitment to the Highest Good as their point of departure. (shrink)

Kant and Fichte developed the concept of a worldview as a way of reflecting on experience as a whole. But what does it mean to form a worldview? And what role did it play in the German Idealist tradition? This paper seeks to answer these questions through a detailed analysis of the form of a philosophical worldview and its historical portent, both of which remain unexplored in the literature. The dearth of attention is partially to blame on Kant’s desultory development (...) of it, as well as its place in Fichte’s understudied lectures on religion. In this paper, I first reconstruct Kant’s conception as the starting point and then trace it to Fichte who went on to evolve it further. Fichte endorses the basic conceptual shape pioneered by Kant, namely, a reflective process of positing an idea and then checking the coherence of necessary judgments relative to it. However, Fichte came to realize that its philosophical function needed expanding. Beyond recognizing the possibility for alternative worldviews, Fichte further fleshed out how worldview creation could lead to human flourishing. The common feature between both thinkers is that the formation of a worldview aims to turn philosophy into a life-orienting exercise. (shrink)

While it is a point of agreement in contemporary republican political theory that property ownership is closely connected to freedom as non-domination, surprisingly little work has been done to elucidate the nature of this connection or the constraints on property regimes that might be required as a result. In this paper, I provide a systematic model of the boundaries within which republican property systems must sit and explore some of the wider implications that thinking of property in these terms may (...) have for republicans. The boundaries I focus on relate to the distribution of property and the application of types of property claims over particular kinds of goods. I develop this model from those elements of non-domination most directly related to the operation of a property regime: (a) economic independence, (b) limiting material inequalities, and (c) the promotion of common goods. The limits that emerge from this analysis support intuitive judgments that animate much republican discussion of property distribution. My account diverges from much orthodox republican theory, though, in challenging the primacy of private property rights in the realization of economic independence. The value of property on republican terms can be realized without private ownership of the means of production. (shrink)

Verteilungsgerechtigkeit befasst sich mit der Verteilung von Gütern innerhalb einer Gruppe, wobei verschiedene Verteilungsprinzipien und -ergebnisse als mögliche Ideale einer solchen Verteilung verhandelt werden. Diese normativen Ansätze sind oft rein verbal formuliert, wodurch ihre Anwendung auf unterschiedliche konkrete Verteilungssituationen, die hinsichtlich ihrer Gerechtigkeit beurteilt werden sollen, häufig schwer fällt. Eine Möglichkeit, fein abgestufte Gerechtigkeitsbeurteilungen verschiedener Verteilungen präzise erfassen zu können, besteht in der formalen Modellierung solcher Ideale durch Maße oder Indizes. Die Auswahl eines geeigneten Maßes, das ein gewisses Ideal abbilden (...) soll, muss ihrerseits eine Fundierung erfahren, was durch die Forderung von begründeten Axiomen erreicht werden kann, denen ein Maß genügen soll. In der vorliegenden Arbeit werden solche Axiome für Maße der Verteilungsgerechtigkeit am Beispiel von Bedarfsgerechtigkeit eingeführt. Ferner werden exemplarische Maße der Bedarfsgerechtigkeit vorgestellt. Damit wird für die Beurteilung und Modellierung von Maßen der Verteilungsgerechtigkeit eine erste diskutable Grundlage gelegt. (shrink)

This is an introduction to the volume "Explanation Beyond Causation: Philosophical Perspectives on Non-Causal Explanations", edited by A. Reutlinger and J. Saatsi (OUP, forthcoming in 2017). -/- Explanations are very important to us in many contexts: in science, mathematics, philosophy, and also in everyday and juridical contexts. But what is an explanation? In the philosophical study of explanation, there is long-standing, influential tradition that links explanation intimately to causation: we often explain by providing accurate information about the causes of the (...) phenomenon to be explained. Such causal accounts have been the received view of the nature of explanation, particularly in philosophy of science, since the 1980s. However, philosophers have recently begun to break with this causal tradition by shifting their focus to kinds of explanation that do not turn on causal information. The increasing recognition of the importance of such non-causal explanations in the sciences and elsewhere raises pressing questions for philosophers of explanation. What is the nature of non-causal explanations - and which theory best captures it? How do non-causal explanations relate to causal ones? How are non-causal explanations in the sciences related to those in mathematics and metaphysics? This volume of new essays explores answers to these and other questions at the heart of contemporary philosophy of explanation. The essays address these questions from a variety of perspectives, including general accounts of non-causal and causal explanations, as well as a wide range of detailed case studies of non-causal explanations from the sciences, mathematics and metaphysics. (shrink)

Journal of Political Philosophy, EarlyView.

Distributive justice deals with allocations of goods and bads within a group. Different principles and results of distributions are seen as possible ideals. Often those normative approaches are solely framed verbally, which complicates the application to different concrete distribution situations that are supposed to be evaluated in regard to justice. One possibility in order to frame this precisely and to allow for a fine-grained evaluation of justice lies in formal modelling of these ideals by metrics. Choosing a metric that is (...) supposed to map a certain ideal has to be justified. Such justification might be given by demanding specific substantiated axioms, which have to be met by a metric. This paper introduces such axioms for metrics of distributive justice shown by the example of needs-based justice. Furthermore, some exemplary metrics of needs-based justice and a three dimensional method for visualisation of non-comparative justice axioms or evaluations are presented. Therewith, a base worth discussing for the evaluation and modelling of metrics of distributive justice is given. (shrink)

Kant’s claim that we must postulate the immortality of the soul is polarizing. While much attention has been paid to two standard arguments in its defense (one moral-psychological, the other rational), I contend that a favorite argument of Kant’s from the apogee of his critical period, namely, the teleological argument, deserves renewed attention. This paper reconstructs it and exhibits what makes it unique (though not necessarily superior) in relation to the other arguments. In particular, its form (as third-personal or descriptive, (...) beginning from observations) and related force of assent (as a subjectively universal reflective judgment) set it apart from the other arguments. My goal is to establish that any engagement with Kant’s immortality postulate must include equal consideration of the teleological argument in order to be complete. (shrink)

In this paper, we argue that a distinction ought to be drawn between two ways in which a given world might be logically impossible. First, a world w might be impossible because the laws that hold at w are different from those that hold at some other world (say the actual world). Second, a world w might be impossible because the laws of logic that hold in some world (say the actual world) are violated at w. We develop a novel (...) way of modelling logical possibility that makes room for both kinds of logical impossibility. Doing so has interesting implications for the relationship between logical possibility and other kinds of possibility (for example, metaphysical possibility) and implications for the necessity or contingency of the laws of logic. (shrink)

This article examines two questions about scientists’ search for knowledge. First, which search strategies generate discoveries effectively? Second, is it advantageous to diversify search strategies? We argue pace Weisberg and Muldoon, “Epistemic Landscapes and the Division of Cognitive Labor”, that, on the first question, a search strategy that deliberately seeks novel research approaches need not be optimal. On the second question, we argue they have not shown epistemic reasons exist for the division of cognitive labor, identifying the errors that led (...) to their conclusions. Furthermore, we generalize the epistemic landscape model, showing that one should be skeptical about the benefits of social learning in epistemically complex environments. (shrink)

Fine is widely thought to have refuted the simple modal account of essence, which takes the essential properties of a thing to be those it cannot exist without exemplifying. Yet, a number of philosophers have suggested resuscitating the simple modal account by appealing to distinctions akin to the distinction Lewis draws between sparse and abundant properties, treating only those in the former class as candidates for essentiality. I argue that ‘sparse modalism’ succumbs to counterexamples similar to those originally posed by (...) Fine, and fails to capture paradigmatic instances of essence involving abundant properties and relations. (shrink)

Grounding and explanation are said to be intimately connected. Some even maintain that grounding just is a form of explanation. But grounding and explanation also seem importantly different—on the face of it, the former is ‘worldy’ or ‘objective’ while the latter isn’t. In this paper, we develop and respond to an argument to the effect that there is no way to fruitfully address this tension that retains orthodox views about grounding and explanation but doesn’t undermine a central piece of methodology, (...) namely that explanation is a guide to ground. (shrink)

Achieving space situational awareness requires, at a minimum, the identification, characterization, and tracking of space objects. Leveraging the resultant space object data for purposes such as hostile threat assessment, object identification, and conjunction assessment presents major challenges. This is in part because in characterizing space objects we reference a variety of identifiers, components, subsystems, capabilities, vulnerabilities, origins, missions, orbital elements, patterns of life, operational processes, operational statuses, and so forth, which tend to be defined in highly heterogeneous and sometimes inconsistent (...) ways. The Space Domain Ontologies are designed to provide a consensus-based realist framework for formulating such characterizations in a way that is both consistent and computable. Space object data are aligned with classes and relations in a suite of ontologies built around the existing Space Object Ontology. They are stored in a dynamically updated Resource Description Framework triple store, which can be queried to support space situational awareness and the needs of spacecraft operators and analysts. This paper provides an overview of the Space Domain Ontologies and their development and use. It presents the motivation for and advantages of the Space Domain Ontologies, including the benefits they provide for enhancing and maintaining long-term space situational awareness. (shrink)

Rational agents face choices, even when taking seriously the possibility of determinism. Rational agents also follow the advice of Causal Decision Theory (CDT). Although many take these claims to be well-motivated, there is growing pressure to reject one of them, as CDT seems to go badly wrong in some deterministic cases. We argue that deterministic cases do not undermine a counterfactual model of rational deliberation, which is characteristic of CDT. Rather, they force us to distinguish between counterfactuals that are relevant (...) and ones that are irrelevant for the purposes of deliberation. We incorporate this distinction into decision theory to develop ‘Selective Causal Decision Theory’, which delivers the correct recommendations in deterministic cases while respecting the key motivations behind CDT. (shrink)

I like the view that the fundamental facts are logically simple, not complex. However, some universal generalizations and negations may appear fundamental, because they cannot be explained by logically simple facts about particulars. I explore a natural reply: those universal generalizations and negations are true because certain logically simple facts—call them —are the fundamental facts. I argue that this solution is only available given some metaphysical frameworks, some conceptions of metaphysical explanation and fundamentality. It requires a ‘fitting’ framework, according to (...) which metaphysical theories explain the aptness of representations in terms of how things are fundamentally. Fitting frameworks conceive of the fundamental facts as those that are metaphysically ‘real’; call them the ‘facts-in-reality’. Moreover, we must take as primary a plural notion of the facts-in-reality, not the singular notion of a fact-in-reality. By contrast, a metaphysics that grounds facts is incompatible with my strategy for keeping the fundamental facts logically simple. (shrink)

In the Critique of Pure Reason, Kant states that ideas give us the rule for organizing experience and ideals serve as archetypes or standards against which one can measure copies. Further, he states that ideas and ideals can be practical. Understanding how precisely these concepts should function presents a challenging and understudied philosophical puzzle. I offer a reconstruction of how ideas and ideals might be practical in order to uphold, to my mind, a conceptually worthy distinction. A practical idea, I (...) argue, is best understood as a reference to the categorical imperative (and its various formulations), which guides conduct directly as a rule. A practical ideal, by contrast, I think is a substrate that serves two functions: one that (a) helps us gauge moral deficiencies and another that (b) reveals the potential for moral improvement. In response to well-grounded sceptical concerns, I argue that ideals are indirectly practical in that they ground the possibility to recognise moral states of affairs and be moral in the first place. (shrink)

Recent discussions of emergence in physics have focussed on the use of limiting relations, and often particularly on singular or asymptotic limits. We discuss a putative example of emergence that does not fit into this narrative: the case of phonons. These quasi-particles have some claim to be emergent, not least because the way in which they relate to the underlying crystal is almost precisely analogous to the way in which quantum particles relate to the underlying quantum field theory. But there (...) is no need to take a limit when moving from a crystal lattice based description to the phonon description. Not only does this demonstrate that we can have emergence without limits, but also provides a way of understanding cases that do involve limits. (shrink)

Elselijn Kingma argues that, in cases of mammalian placental pregnancy, the foster (roughly, the post-implantation embryo/foetus) is part of the gravida (the pregnant organism). But she does not consider the possibility of proper overlap. I show that this generates a number of serious problems for her argument and trace the oversight to a quite general issue within the literature on biological individuality. Doing so provides an opportunity to pull apart and clarify the relations between some importantly distinct questions concerning organismality (...) and organismic parthood, and to identify the implications that this has for those who want to draw on this literature when making metaphysical or mereological arguments. (shrink)

Pattern-based reasons are reasons for action deriving not from the features of our own actions, but from the features of the larger patterns of action in which we might be participating. These reasons might relate to the patterns of action that will actually be carried out, or they might relate to merely hypothetical patterns. In past work, I have argued that accepting merely hypothetical pattern-based reasons, together with a plausible account of how to weigh these reasons, can lead to disastrous (...) consequences. However, in this article, I argue that this problem is not limited to hypothetical pattern-based reasons: it turns out that there are analogous issues for reasons deriving from actual patterns. I then suggest that we can avoid this problem by adopting a different account of the weight of pattern-based reasons. (shrink)

In this paper, I will discuss what I will call “skeptical pragmatic invariantism” as a potential response to the intuitions we have about scenarios such as the so-called bank cases. SPI, very roughly, is a form of epistemic invariantism that says the following: The subject in the bank cases doesn’t know that the bank will be open. The knowledge ascription in the low standards case seems appropriate nevertheless because it has a true implicature. The goal of this paper is to (...) show that SPI is mistaken. In particular, I will show that SPI is incompatible with reasonable assumptions about how we are aware of the presence of implicatures. Such objections are not new, but extant formulations are wanting for reasons I will point out below. One may worry that refuting SPI is not a worthwhile project given that this view is an implausible minority position anyway. To respond, I will argue that, contrary to common opinion, other familiar objections to SPI fail and, thus, that SPI is a promising position to begin with. (shrink)

In his recent article entitled ‘Can We Believe the Error Theory?’ Bart Streumer argues that it is impossible (for anyone, anywhere) to believe the error theory. This might sound like a problem for the error theory, but Streumer argues that it is not. He argues that the un-believability of the error theory offers a way for error theorists to respond to several objections commonly made against the view. In this paper, we respond to Streumer’s arguments. In particular, in sections 2-4, (...) we offer several objections to Streumer’s argument for the claim that we cannot believe the error theory. In section 5, we argue that even if Streumer establishes that we cannot believe the error theory, this conclusion is not as helpful for error theorists as he takes it to be. (shrink)