Basic Formal Ontology (BFO) is a top-level ontology consisting of thirty-six classes, designed to support information integration, retrieval, and analysis across all domains of scientific investigation, presently employed in over 350 ontology projects around the world. BFO is a genuine top-level ontology, containing no terms particular to material domains, such as physics, medicine, or psychology. In this paper, we demonstrate how a series of cases illustrating common types of change may be represented by universals, defined classes, and relations employing the (...) BFO framework. We provide discussion of these cases to provide a template for other ontologists using BFO, as well as to facilitate comparison with the strategies proposed by ontologists using different top-level ontologies. (shrink)

The ability to access and share data is key to optimizing and streamlining any industrial production process. Unfortunately, the manufacturing industry is stymied by a lack of interoperability among the systems by which data are produced and managed, and this is true both within and across organizations. In this paper, we describe our work to address this problem through the creation of a suite of modular ontologies representing the product life cycle and its successive phases, from design to end of (...) life. We call this suite the Product Life Cycle (PLC) Ontologies. The suite extends proximately from The Common Core Ontologies (CCO) used widely in defense and intelligence circles, and ultimately from the Basic Formal Ontology (BFO), which serves as top level ontology for the CCO and for some 300 further ontologies. The PLC Ontologies were developed together, but they have been factored to cover particular domains such as design, manufacturing processes, and tools. We argue that these ontologies, when used together with standard public domain alignment and browsing tools created within the context of the Semantic Web, may offer a low-cost approach to solving increasingly costly problems of data management in the manufacturing industry. (shrink)

Basic Formal Ontology (BFO) is a top-level ontology used in hundreds of active projects in scientific and other domains. BFO has been selected to serve as top-level ontology in the Industrial Ontologies Foundry (IOF), an initiative to create a suite of ontologies to support digital manufacturing on the part of representatives from a number of branches of the advanced manufacturing industries. We here present a first draft set of axioms and definitions of an IOF upper ontology descending from BFO. The (...) axiomatization is designed to capture the meanings of terms commonly used in manufacturing and is designed to serve as starting point for the construction of the IOF ontology suite. (shrink)

The manufacturing industry is evolving rapidly, becoming more complex, more interconnected, and more geographically distributed. Competitive pressure and diversity of consumer demand are driving manufacturing companies to rely more and more on improved knowledge management practices. As a result, multiple software systems are being created to support the integration of data across the product life cycle. Unfortunately, these systems manifest a low degree of interoperability, and this creates problems, for instance when different enterprises or different branches of an enterprise interact. (...) Common ontologies (consensus-based controlled vocabularies) have proved themselves in various domains as a valuable tool for solving such problems. In this paper, we present a consensus-based Additive Manufacturing Ontology (AMO) and illustrate its application in promoting re-usability in the field of dentistry product manufacturing. (shrink)

Trends in experimental philosophy have provided new and compelling results that are cause for re-evaluations in contemporary discussions of free will. In this paper, I argue for one such re-evaluation by criticizing Robert Kane’s well-known views on free will. I argue that Kane’s claims about pre-theoretical intuitions are not supported by empirical findings on two accounts. First, it is unclear that either incompatibilism or compatibalism is more intuitive to nonphilosophers, as different ways of asking about free will and responsibility reveal (...) different answers. Secondly, I discuss how a study by Josh May supporting a cluster concept of free will may provide ethicists with a reason to give up a definitional model, and I discuss a direction future work might take. Both of these objections come from a larger project concerned with understanding the cognitive mechanisms that people employ when they make judgments about agency and responsibility—a project that promises not only to challenge contemporary philosophy, but to inform it. (shrink)

Functionally graded materials (FGMs) have been used in many different kinds of applications in recent years and have attracted significant research attention. However, we do not yet have a commonly accepted way of representing the various aspects of FGMs. Lack of standardised vocabulary creates obstacles to the extraction of useful information relating to pertinent aspects of different applications. A standard resource is needed for describing various elements of FGMs, including existing applications, manufacturing techniques, and material characteristics. This motivated the creation (...) of the FGM Ontology (FGMO) in 2016. Here, we present a revised and expanded version of the FGM Ontology, which includes enrichments along four dimensions: (1) documenting recent FGMs applications; (2) reorganising the framework to incorporate an updated representation of types of manufacturing processes; (3) enriching the axioms of the ontology; and (4) importing mid-level ontologies from the Common Core Ontologies (CCO) and Product Life Cycle (PLC) Ontologies. The work is being carried out within the framework of the Industry Ontology Foundry (IOF), and the ontology is conformant to Basic Formal Ontology (BFO). (shrink)

Disaster response is a highly collaborative and critical process that requires the involvement of multiple emergency responders (ERs), ideally working together under a unified command, to enable a rapid and effective operational response. Following the 9/11 and 11/13 terrorist attacks and the devastation of hurricanes Katrina and Rita, it is apparent that inadequate communication and a lack of interoperability among the ERs engaged on-site can adversely affect disaster response efforts. Within this context, we present a scenario-based terrorism case study to (...) highlight the challenges of operational disaster command and response. In this article, which is based on the French emergency response doctrine, we outline a semantics-based common operational command system that is designed to guarantee an efficient information flow among ERs. Our focus is on offering to all ERs, a real-time operational picture of the situation in order to enable multilevel coordination among firefighters, police, healthcare units, public authorities, and other stakeholders. Our approach consolidates information to promote timely sharing of data among ERs. The proposed system is based on an ontology that has been developed to represent the different types of knowledge on the part of ERs, providing a shared vocabulary that covers a variety of interoperability concerns. (shrink)

Abstract In light of the complexity of unfolding disasters, the diversity of rapidly evolving events, the enormous amount of generated information, and the huge pool of casualties, emergency responders (ERs) may be overwhelmed and in consequence poor decisions may be made. In fact, the possibility of transporting the wounded victims to one of several hospitals and the dynamic changes in healthcare resource availability make the decision process more complex. To tackle this problem, we propose a multicriteria decision support service, based (...) on the Analytic Hierarchy Process (AHP) method, that aims to avoid overcrowding and outpacing the capacity of a hospital to effectively provide the best care to victims by finding out the most appropriate hospital that meets the victims’ needs. The proposed approach searches for the most appropriate healthcare institution that can effectively deal with the victims’ needs by considering the availability of the needed resources in the hospital, the victim’s wait time to receive the healthcare, and the transfer time that represents the hospital proximity to the disaster site. The evaluation and validation results showed that the assignment of hospitals was done successfully considering the needs of each victim and without overwhelming any single hospital. (shrink)

Managing complex disaster situations is a challenging task because of the large number of actors involved and the critical nature of the events themselves. In particular, the different terminologies and technical vocabularies that are being exchanged among Emergency Responders may lead to misunderstandings. Maintaining a shared semantics for exchanged data is a major challenge. To help to overcome these issues, we elaborate a modular suite of ontologies called POLARISCO that formalizes the complex knowledge of the ERs. Such a shared vocabulary (...) resolves inconsistent terminologies and promotes semantic interoperability among ERs. In this work, we discuss developing POLARISCO as an extension of Basic Formal Ontology and the Common Core Ontologies. We conclude by presenting a real use-case to check the efficiency and applicability of the proposed ontology. (shrink)

Disaster response requires the cooperation of multiple emergency responder organizations (EROs). However, after‐action reports relating to large‐scale disasters identity communication difficulties among EROs as a major hindrance to collaboration. On the one hand, the use of two‐radio communication, based on multiple orthogonal frequencies and uneven coverage, has been shown to degrade inter‐organization communication. On the other hand, because they reflect different areas of expertise, EROs use differing terminologies, which are difficult to reconcile. These issues lead to ambiguities, misunderstandings, and inefficient (...) exchange of data and information among those involved, which can impede the response process and slow decision making. We, therefore, hypothesize that promoting semantic interoperability across ERO information systems might improve information exchange among stakeholders and thereby allow a more coherent response to the disaster. We propose an ontology‐based messaging service on the basis of the Emergency Data Exchange Language (EDXL) standards. The parties involved will continue to use the terminologies to which they are accustomed, but the system will resolve inconsistencies and thereby enhance mutual understanding among EROs by ensuring semantic translation of the exchanged information. The evaluation of the semantic translation demonstrated the effectiveness and accuracy of the proposed service. (shrink)

Disputes over territory are a major contributing factor to the disruption of international relations. We believe that a cumulative, integrated, and continuously updated resource providing information about such disputes in an easily accessible form would be of benefit to intelligence analysts, military strategists, political scientists, and also to historians and others concerned with international disputes. We propose an ontology-based strategy for creating such a resource. The resource will contain information about territorial disputes, arguments for and against claims pertaining to sovereignty, (...) proffered evidence for such claims, political and military motives (overt or hidden), and associated conflicts. Our approach is designed to address several issues surrounding the representation of geopolitical conflict, including the tracking and individuation of disputes and the validation of disseminated information. (shrink)

Although the last decade has seen a proliferation of ontological approaches to arguments, many of them employ ad hoc solutions to representing arguments, lack interoperability with other ontologies, or cover arguments only as part of a broader approach to evidence. To provide a better ontological representation of arguments, we present the Arguments Ontology (ArgO), a small ontology for arguments that is designed to be imported and easily extended by researchers who work in different upper-level ontology frameworks, different logics, and different (...) approaches to argument evaluation. Unlike most ontological approaches to arguments, ArgO utilizes Basic Formal Ontology (BFO) as an upper-level ontology, and may be used alongside other commonly used ontologies in the BFO framework, including boththe Information Artifact Ontology (IAO), and the Information Entity Ontology (INFO). Critically, our proposal is principled, based on rigorous definitions and formal axioms out of which characterizations of arguments naturally fall. It is our hope that ArgO may assist researchers in many projects, including: integrating heterogeneous sources of evidence, structuring the content of semantic wikis, and enhancing semantic reasoning. (shrink)

In recent years there has been a number of promising technical and institutional developments regarding use of ontologies in industry. At the same time, however, most industrial ontology development work remains within the realm of academic research and is without significant uptake in commercial applications. In biomedicine, by contrast, ontologies have made significant inroads as valuable tools for achieving interoperability between data systems whose contents derive from widely heterogeneous sources. In this position paper, we present a set of principles learned (...) from the successful Open Biomedical Ontologies (OBO) Foundry initiative to guide the design and development of the Industrial Ontologies Foundry (IOF), which is a counterpart to the OBO Foundry initiative for the manufacturing industry. We also illustrate the potential utility of these principles by sketching the conceptual design of a framework for sustainable IOF development. (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.

A number of concerns have been raised about the possible future use of pharmaceuticals designed to enhance cognitive, affective, and motivational processes, particularly where the aim is to produce morally better decisions or behavior. In this article, we draw attention to what is arguably a more worrying possibility: that pharmaceuticals currently in widespread therapeutic use are already having unintended effects on these processes, and thus on moral decision making and morally significant behavior. We review current evidence on the moral effects (...) of three widely used drugs or drug types: propranolol, selective serotonin reuptake inhibitors, and drugs that effect oxytocin physiology. This evidence suggests that the alterations to moral decision making and behavior caused by these agents may have important and difficult-to-evaluate consequences, at least at the population level. We argue that the moral effects of these and other widely used pharmaceuticals warrant further empirical research and ethical analysis. (shrink)

The report describes an application of ontologies to the analysis of wind turbine manufacturing data. We show how applying ontologies to composite materials data may facilitate the discovery of optimum composite material designs that will deliver maximum wind turbine blade performance within environmental constraints.

Response to commentary. We are grateful to Crockett and Craigie for their interesting remarks on our paper. We accept Crockett’s claim that there is a need for caution in drawing inferences about patient groups from work on healthy volunteers in the laboratory. However, we believe that the evidence we cited established a strong presumption that many of the patients who are routinely taking a medication, including many people properly prescribed the medication for a medical condition, have morally significant aspects of (...) their cognition and behavior modified in a way that is unintended and may sometimes be unwelcome. Crockett notes that in some cases the effects of long-term drug use may differ, sometimes markedly, from the effects of short-term use. However, if acute use of a drug affects a neural system involved in mediating moral cognition or behavior, this nevertheless provides some evidence that chronic use of the drug may affect that same system and thus have morally significant effects. It is also plausible, in some cases, that an acute moral effect would give rise to a chronic moral effect via cognitive mechanisms. ... (shrink)

Technological advancement makes translation convenient due to the emergence of various translation tools. This Explanatory-Sequential study aims to determine the preference and the factors affecting the preference of Filipino and Foreign college students toward the Online Translation Tool. Likewise, it also aimed to identify if there is a significant difference between the respondents' choices. To acquire the data, the researchers used a survey conducted on 15 Filipino and foreign collegiate students enrolled in universities in Manila and a focus group discussion (...) among 3 Filipino students. The transcribed data were analyzed using Thematic Analysis. Moreover, the results of the quantitative data revealed that Google Translate was the preferred Online Translation Tool of Filipino and Foreign students for the reason of accessibility, user-friendliness, and the tendency of users to brand bias. The reasons presented in quantitative data are strengthened by the themes identified in the qualitative data. The three prevailing themes of Brand Bias, Accessibility, and Accuracy constituted the central theme of User Friendliness. It was identified through the Chi-Square Test that there is no significant difference among respondents' preferences (0.345 P-Value) toward online Translation software. (shrink)

Technological advancement makes translation convenient due to the emergence of various translation tools. This Explanatory-Sequential study aims to determine the preference and the factors affecting the preference of Filipino and Foreign college students toward the Online Translation Tool. Likewise, it also aimed to identify if there is a significant difference between the respondents' choices. To acquire the data, the researchers used a survey conducted on 15 Filipino and foreign collegiate students enrolled in universities in Manila and a focus group discussion (...) among 3 Filipino students. The transcribed data were analyzed using Thematic Analysis. Moreover, the results of the quantitative data revealed that Google Translate was the preferred Online Translation Tool of Filipino and Foreign students for the reason of accessibility, user-friendliness, and the tendency of users to brand bias. The reasons presented in quantitative data are strengthened by the themes identified in the qualitative data. The three prevailing themes of Brand Bias, Accessibility, and Accuracy constituted the central theme of User Friendliness. It was identified through the Chi-Square Test that there is no significant difference among respondents' preferences (0.345 P-Value) toward online Translation software. (shrink)

Abstract: This essay consists of some clarifying remarks on the doctrine of double effect (DDE). After providing a contemporary formulation of the doctrine we put special emphasis on the distinction between those aspects of an action plan that are intended and those that are merely foreseen (the I/F distinction). Making use of this distinction is often made difficult in practice because salient aspects of the action plan exhibit a felt “closeness” to one another that is difficult if not impossible to (...) articulate with the precision we might like. The essay goes on to examine an especially adroit criticism of DDE best articulated by J.J. Thomson. We conclude with a brand new double effect case (new to the philosophical literature anyway) taken from medicine and Roman Catholic pastoral ministry. (shrink)

Powers ontologies are currently enjoying a resurgence. This would be dispiriting news for the moderns; in their eyes, to imbue bodies with powers is to slide back into the scholastic slime from which they helped philosophy crawl. I focus on Descartes’s ‘little souls’ argument, which points to a genuine and, I think persisting, defect in powers theories. The problem is that an Aristotelian power is intrinsic to whatever has it. Once this move is accepted, it becomes very hard to see (...) how humble matter could have such a thing. It is as if each empowered object were possessed of a little soul that directs it and governs its behavior. Instead of attempting to resurrect the Aristotelian power theory, contemporary philosophers would be best served by taking their inspiration from its early modern replacement, devised by John Locke and Robert Boyle. On this view, powers are internal relations, not monadic properties intrinsic to their bearers. This move at once drains away the mysterious directedness of Aristotelian powers and solves the contemporary version of the little souls argument, Neil Williams’s ‘problem of fit.’. (shrink)

Lockdowns, or modern quarantines, involve the use of novel restrictive non-pharmaceutical interventions (NPIs) to suppress the transmission of COVID-19. In this paper, I aim to critically analyze the emerging history and philosophy of lockdowns, with an emphasis on the communication of health evidence and risk for informing policy decisions. I draw a distinction between evidence-based and modeling-based decision-making. I argue that using the normative framework of evidence-based medicine would have recommended against the use of lockdowns. I first review the World (...) Health Organization’s evidence-based pandemic preparedness plans for respiratory viruses. I then provide a very brief history of COVID-19 modeling, which was cited as justification for the use of lockdowns in the U.K., the U.S., and much of the world. I focus on the so-called Imperial College model designed by Neil Ferguson et al. as well as the so-called Oxford model designed by José Lourenço et al. I analyze the evidence-based pandemic response known as ‘mitigation’, and I compare it with Ferguson et al.’s experimental strategy known as ‘suppression’. I summarize the strengths and weaknesses of these strategies based on their diametric aims and each model’s parametric assumptions. Based on my critical analysis of the suppression strategy, I attempt to expose what has been called the ‘logic of lockdowns’, which Sunetra Gupta of the Oxford model group has suggested is flawed. Finally, I consider Trisha Greenhalgh’s objection to evidence-based policy based on the precautionary principle, and I attempt to offer a response. I conclude with a brief narrative review of the emerging randomized evidence on restrictive NPIs, which seems to support my claim that mitigation was the strategy that would have been recommended by evidence-based medicine. If this is true, then COVID-19 modeling may serve as an important reminder of the enduring lesson of evidence-based medicine: that one should always ‘Trust the Evidence!’ for better health policy. (shrink)

On a currently popular reading of Locke, an idea represents its cause, or what God intended to be its cause. Against Martha Bolton and my former self (among others), I argue that Locke cannot hold such a view, since it sins against his epistemology and theory of abstraction. I argue that Locke is committed to a resemblance theory of representation, with the result that ideas of secondary qualities are not representations.

Parents play a critical role in their child’s personal development and day-to-day experiences. However, as digital technologies are increasingly embedded in most New Zealand children’s everyday life activities parents face the task of ensuring their child’s online safety. To do so, they need to understand the way their child engages with and through these tools and make sense of the rapidly changing, and more technically complex, nature of digital devices. This presents a digital parenting dilemma: maximising children’s online opportunities while (...) minimising online risks and potential harm. This factsheet presents evidence about digital parenting in New Zealand based on nationally representative data collected from parents, caregivers and whānau and their children aged 9-17. It uses measures from the Global Kids Online project to explore the prevalence of different practices used by New Zealand parents to influence or mediate children’s internet use. (shrink)

How language works — its functions, mechanisms, and limitations — matters to the early moderns as much as it does to contemporary philosophers. Many of the moderns make reflection on language central to their philosophical projects, both as a tool for explaining human cognition and as a weapon to be used against competing views. Even in philosophers for whom language is less central, we can find important connections between their views on language and their other philosophical commitments.

Nietzsche takes moral judgments to be false beliefs, and encourages us to pursue subjective nonmoral value arising from our passions. His view that strong and unified passions make one virtuous is mathematically derivable from this subjectivism and a conceptual analysis of virtue, explaining his evaluations of character and the nature of the Overman.

Two kinds of people might find this useful: first, those interested in the modern debate over ideas and representation who don’t happen to read French, or who do, but would like to have in one place the relevant excerpts, to see whether looking at the originals is worth their time. Second are teachers of modern philosophy. The back-and-forth among these figures makes for a refreshing change from the massive, often self-contained works that characterize much of the rest of such a (...) course. For example, one could easily work in chapter 3 (the high point of the debate, from my point of view) between Descartes and Berkeley. (shrink)

We can infer moral conclusions from nonmoral evidence using a three-step procedure. First, we distinguish the processes generating belief so that their reliability in generating true belief is statistically predictable. Second, we assess the processes’ reliability, perhaps by observing how frequently they generate true nonmoral belief or logically inconsistent beliefs. Third, we adjust our credence in moral propositions in light of the truth ratios of the processes generating beliefs in them. This inferential route involves empirically discovering truths of the form (...) “Process P, which generates belief in moral proposition M, has truth ratio T", and using them to discover probabilities for moral propositions. The inferential route is noncircular, and progress along it is driven fundamentally by induction. (shrink)

This article canvases the main areas of controversy: the nature of Lockean signification and his position on propositions and particles.

This essay presents an ideal for modern Western romantic love.The basic ideas are the following: people want to form a distinctive sort of plural subject with another, what Nozick has called a "We", they want to be loved for properties of certain kinds, and they want this love to establish and sustain a special sort of commitment to them over time.

This factsheet presents findings from a quantitative study looking at adults’ experiences of sending and sharing potentially harmful digital communications in New Zealand. Typically research into harmful digital communications focuses on the experiences of those on the receiving end – the victims. However, to better address the distress and harm caused, information is needed about the people sending and sharing potentially harmful messages and posts. In this study we asked adult New Zealanders whether they had sent potentially harmful digital communications (...) in the previous year and if so, how often they had done this, who they were sent to, the channel(s) they used, and the reason for doing this. (shrink)

Like their contemporary counterparts, early modern philosophers find themselves in a predicament. On one hand, there are strong reasons to deny that sensations are representations. For there seems to be nothing in the world for them to represent. On the other hand, some sensory representations seem to be required for us to experience bodies. How else could one perceive the boundaries of a body, except by means of different shadings of color? I argue that Nicolas Malebranche offers an extreme -- (...) and ultimately unworkable -- attempt to solve this riddle. Most commentators claim that Malebranche defends an adverbial theory of sensation, according to which a sensation is merely a way in which an act of sensing happens. The adverbial reading is wrong, or so I argue. Once we arrive at a more accurate reading, we shall see that his position is much more strange than is currently thought. Nevertheless, Malebranche’s view is similar to the adverbial theory in one respect, albeit it at a very high level of generality. His view thus inherits two of the main problems that afflict adverbial theories. Although Malebranche fails to solve them, his ingenious attempts to do so are instructive. (shrink)

Let's suppose you think that there are no uncountable sets. Have you adopted a restrictive position? It is certainly tempting to say yes---you've prohibited the existence of certain kinds of large set. This paper argues that this intuition can be challenged. Instead, I argue that there are some considerations based on a formal notion of restrictiveness which suggest that it is restrictive to hold that there are uncountable sets.

In Thus Spoke Zarathustra, Nietzsche presents passion as constituting human agency. He encountered this Humean view in Schopenhauer, and recognized its explanatory advantages over Platonic and Kantian rationalism. Zarathustra's poetic speeches anticipate and address contemporary objections to the view that passion constitutes agency. "On the Despisers of the Body" explains why understanding the self as constituted by passion provides better explanations of reasoning, value judgment, and the unity of the self than Christine Korsgaard's neo-Kantian view. "On Enjoying and Suffering the (...) Passions" explains why understanding virtues as constituted by passions provides a better explanation of moral phenomenology than John McDowell's rationalism. (shrink)

In this article, I survey some philosophical attitudes to talk concerning `the' universe of sets. I separate out four different strands of the debate, namely: (i) Universism, (ii) Multiversism, (iii) Potentialism, and (iv) Pluralism. I discuss standard arguments and counterarguments concerning the positions and some of the natural mathematical programmes that are suggested by the various views.

Nietzsche and Hume agree that desire drives all human action and practical reasoning. This shared view helps them appreciate continuities between human and animal motivation and sets them against a long tradition of rationalist rivals including Kant and Plato. In responding to Kant, Nietzsche further developed the Humean views that Kant himself was responding to. Kantians like Christine Korsgaard argue that reflective endorsement and rejection of options presented by desire demonstrates reason’s ability to independently drive reasoning and action. In Daybreak (...) 109, Nietzsche provides a simpler Humean explanation: reflective endorsement and rejection involve reflecting on one desire from the viewpoint of another, with desire as the only motivational force. This explains the attentional and hedonic phenomenology of reflective endorsement without ascribing any motivational force to rational processes independent of desire. (shrink)

John McDowell claims that virtuous people recognize moral reasons using a perceptual capacity that doesn't include desire. I show that the phenomena he cites are better explained if desire makes us see considerations favoring its satisfaction as reasons. The salience of moral considerations to the virtuous, like the salience of food to the hungry, exemplifies the emotional and attentional effects of desire. I offer a desire-based account of how we can follow uncodifiable rules of common-sense morality and how some reasons (...) can be silenced in deliberation. I conclude by arguing that animals can be virtuous by having the right desires. (shrink)

This article articulates and assesses an imperatival approach to the foundations of mathematics. The core idea for the program is that mathematical domains of interest can fruitfully be viewed as the outputs of construction procedures. We apply this idea to provide a novel formalisation of arithmetic and set theory in terms of such procedures, and discuss the significance of this perspective for the philosophy of mathematics.

Informal rigour is the process by which we come to understand particular mathematical structures and then manifest this rigour through axiomatisations. Structural relativity is the idea that the kinds of structures we isolate are dependent upon the logic we employ. We bring together these ideas by considering the level of informal rigour exhibited by our set-theoretic discourse, and argue that different foundational programmes should countenance different underlying logics (intermediate between first- and second-order) for formulating set theory. By bringing considerations of (...) perturbations in modal space to bear on the debate, we will suggest that a promising option for representing current set-theoretic thought is given by formulating set theory using quasi-weak second-order logic. These observations indicate that the usual division of structures into \particular (e.g. the natural number structure) and general (e.g. the group structure) is perhaps too coarse grained; we should also make a distinction between intentionally and unintentionally general structures. (shrink)

Let mathematical justification be the kind of justification obtained when a mathematician provides a proof of a theorem. Are Gettier cases possible for this kind of justification? At first sight we might think not: The standard for mathematical justification is proof and, since proof is bound at the hip with truth, there is no possibility of having an epistemically lucky justification of a true mathematical proposition. In this paper, I argue that Gettier cases are possible (and indeed actual) in mathematical (...) reasoning. By analysing these cases, I suggest that the Gettier phenomenon indicates some upshots for actual mathematical practice. (shrink)

This article addresses two areas of continuing controversy about consent in clinical research: the question of when consent to low risk research is necessary, and the question of when consent to research is valid. The article identifies a number of considerations relevant to determining whether consent is necessary, chief of which is whether the study would involve subjects in ways that would (otherwise) infringe their rights. When consent is necessary, there is a further question of under what conditions consent is (...) valid or successful in waiving a right. The most influential account of validity conditions is non-moralized, in the sense that the conditions make no essential reference to whether the researcher soliciting consent has obtained it in a way that wrongs the subject. The article examines the implications of this account, and compares it with recent accounts that moralize some of the validity conditions. -/- . (shrink)

I provide an examination and comparison of modal theories for underwriting different non-modal theories of sets. I argue that there is a respect in which the `standard' modal theory for set construction---on which sets are formed via the successive individuation of powersets---raises a significant challenge for some recently proposed `countabilist' modal theories (i.e. ones that imply that every set is countable). I examine how the countabilist can respond to this issue via the use of regularity axioms and raise some questions (...) about this approach. I argue that by comparing them with the `standard' uncountabilist theory, a new approach that brings in arbitrariness rather than the strict controls of forcing is desirable. (shrink)

Multiverse Views in set theory advocate the claim that there are many universes of sets, no-one of which is canonical, and have risen to prominence over the last few years. One motivating factor is that such positions are often argued to account very elegantly for technical practice. While there is much discussion of the technical aspects of these views, in this paper I analyse a radical form of Multiversism on largely philosophical grounds. Of particular importance will be an account of (...) reference on the Multiversist conception, and the relativism that it implies. I argue that analysis of this central issue in the Philosophy of Mathematics indicates that Radical Multiversism must be algebraic, and cannot be viewed as an attempt to provide an account of reference without a softening of the position. (shrink)

Epistemic akrasia can be rational. I consider a lonely pragmatist who believes that her imaginary friend doesn’t exist, and also believes on pragmatic grounds that she should believe in him. She rationally believes that her imaginary friend doesn’t exist, rationally follows various sources of evidence to the view that she should believe in him to end her loneliness, and rationally holds these attitudes simultaneously. Evidentialism suggests that her ambivalent epistemic state is rational, as considerations grounded in the value of truth (...) justify her beliefs. (shrink)

Philosophers from Hart to Lewis, Johnston and Bennett have expressed various degrees of reservation concerning the doctrine of double effect. A common concern is that, with regard to many activities that double effect is traditionally thought to prohibit, what might at first look to be a directly intended bad effect is really, on closer examination, a directly intended neutral effect that is closely connected to a foreseen bad effect. This essay examines the extent to which the commonsense concept of intention (...) supports a reasonably consistent and coherent application of double effect. Two important conclusions are these: (1) a number of traditionally proscribed activities involve a kind of “targeting” of innocents that can be taken to exhibit a direct intention to harm them; (2) a direct intention to harm need not involve a desire to harm in any ordinary sense of the latter expression. (shrink)

A central area of current philosophical debate in the foundations of mathematics concerns whether or not there is a single, maximal, universe of set theory. Universists maintain that there is such a universe, while Multiversists argue that there are many universes, no one of which is ontologically privileged. Often forcing constructions that add subsets to models are cited as evidence in favour of the latter. This paper informs this debate by analysing ways the Universist might interpret this discourse that seems (...) to necessitate the addition of subsets to V. We argue that despite the prima facie incoherence of such talk for the Universist, she nonetheless has reason to try and provide interpretation of this discourse. We analyse extant interpretations of such talk, and analyse various tradeoffs in naturality that might be made. We conclude that the Universist has promising options for interpreting different forcing constructions. (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)

This essay argues that there are theoretical benefits to keeping distinct—more pervasively than the literature has done so far—the psychological states of imagining that p versus believing that in-the-story p, when it comes to cognition of fiction and other forms of narrative. Positing both in the minds of a story’s audience helps explain the full range of reactions characteristic of story consumption. This distinction also has interesting conceptual and explanatory dimensions that haven’t been carefully observed, and the two mental state (...) types make distinct contributions to generating emotional responses to stories. Finally, the differences between the mental states illuminate how a given story can be both shared with others and at the same time experienced as personal. (shrink)

A long tradition in theology holds that the divine is in some sense incomprehensible, ineffable, or indescribable. This is mirrored in the set-theoretic literature by those who hold that the universe of sets is incomprehensible, ineffable, or indescribable. In this latter field, set theorists often study reflection principles; axioms that posit indescribability properties of the universe. This paper seeks to examine a theological reflection principle, which can be used to deliver a very rich ontology. I argue that in analogy with (...) set-theoretic reflection principles, we should understand theological reflection via schematic commitment. (shrink)