According to the Bayesian paradigm in the psychology of reasoning, the norms by which everyday human cognition is best evaluated are probabilistic rather than logical in character. Recently, the Bayesian paradigm has been applied to the domain of argumentation, where the fundamental norms are traditionally assumed to be logical. Here, we present a major generalisation of extant Bayesian approaches to argumentation that utilizes a new class of Bayesian learning methods that are better suited to modelling dynamic and conditional inferences than (...) standard Bayesian conditionalization, is able to characterise the special value of logically valid argument schemes in uncertain reasoning contexts, greatly extends the range of inferences and argumentative phenomena that can be adequately described in a Bayesian framework, and undermines some influential theoretical motivations for dual function models of human cognition. We conclude that the probabilistic norms given by the Bayesian approach to rationality are not necessarily at odds with the norms given by classical logic. Rather, the Bayesian theory of argumentation can be seen as justifying and enriching the argumentative norms of classical logic. (shrink)

Philosophy & Public Affairs, Volume 50, Issue 2, Page 239-266, Spring 2022.

The paper deals with the notions of grounding and of existential dependence. It is shown that cases of existential dependence seem to be systematically correlated to cases of grounding and hence the question is raised what sort of tie might hold the two notions together so as to account for the observed correlation. The paper focusses on three possible ties between grounding and existential dependence: identity, definition, and grounding. A case for the definitional tie is made.

Loneliness in medicine is a serious problem not just for patients, for whom illness is intrinsically isolating, but also for physicians in the contemporary condition of medicine. We explore this problem by investigating the ideal physician-patient relationship, whose analogy with friendship has held enduring normative appeal. Drawing from Talbot Brewer and Nir Ben-Moshe, we argue that this appeal lies in a dynamic form of companionship incompatible with static models of friendship-like physician-patient relationships: a mutual refinement of embodied virtue that draws (...) both persons together. The ideal physician-patient relationship has a dialectical character that fosters each member's improvement of phenomenologically recognizing and embodying moral virtues. A key component of this dynamic is a commitment to the common goal of the patient's health, realized through joint interactivities and conversations over time. The physician's presence to the patient's suffering—understood best as an alienating phenomenological condition for the patient—orients and discloses possibilities for virtuous caregiving by structuring the meanings of the goals, conversations, and joint narrative constitutive of their relationship. Presence to suffering, paradoxically, is perhaps an important prerequisite for this dynamic partnership. These activities dialectically build an interpretive horizon of understanding through which moral goods and character refinement—in and for the other—may become revealed for both persons in their shared being-in-the-world. This analysis of suffering, mood, and revealing of (possible) moral goods has implications for addressing the modern problem of loneliness for patients and physicians, who are increasingly inhibited from building flourishing relationships with each other. (shrink)

Mind &Language, Volume 35, Issue 1, Page 90-114, February 2020.

It is a consequence of the theory of imprecise credences that there exist situations in which rational agents inevitably become less opinionated toward some propositions as they gather more evidence. The fact that an agent's imprecise credal state can dilate in this way is often treated as a strike against the imprecise approach to inductive inference. Here, we show that dilation is not a mere artifact of this approach by demonstrating that opinion loss is countenanced as rational by a substantially (...) broader class of normative theories than has been previously recognised. Specifically, we show that dilation-like phenomena arise even when one abandons the basic assumption that agents have (precise or imprecise) credences of any kind, and follows directly from bedrock norms for rational comparative confidence judgements of the form `I am at least as confident in p as I am in q'. We then use the comparative confidence framework to develop a novel understanding of what exactly gives rise to dilation-like phenomena. By considering opinion loss in this more general setting, we are able to provide a novel assessment of the prospects for an account of inductive inference that is not saddled with the inevitability of rational opinion loss. (shrink)

While the objects of olfaction are intuitively individuated by reference to the ordinary objects from which they arise, this intuition does not accurately capture the complex nature of smells. Smells are neither ordinary three-dimensional objects, nor Platonic vapors, nor odors. Rather, smells are the molecular structures of chemical compounds within odor plumes. Molecular Structure Theory is offered as an account of smells, which can explain the nature of the external object of olfactory perception, what we experience as olfactory objects, and (...) what determines the olfactory quality of smells by which we can demarcate the spatiotemporal boundaries of smells. (shrink)

Quality-space theory (QST) explains the nature of the mental qualities distinctive of perceptual states by appeal to their role in perceiving. QST is typically described in terms of the mental qualities that pertain to color. Here we apply QST to the olfactory modalities. Olfaction is in various respects more complex than vision, and so provides a useful test case for QST. To determine whether QST can deal with the challenges olfaction presents, we show how a quality space (QS) could be (...) constructed relying on olfactory perceptible properties and the olfactory mental qualities then defined by appeal to that QS of olfactory perceptible properties. We also consider how to delimit the olfactory QS from other modalities. We further apply QST to the role that experience plays in refining our olfactory discriminative abilities and the occurrence of olfactory mental qualities in non-conscious olfactory states. QST is shown to be fully applicable to and useful for understanding the complex domain of olfaction. (shrink)

There is consensus within the chemosciences that olfactory perception is of the molecular structure of chemical compounds, yet within philosophical theories of smell there is little agreement about the nature of smell. The paper critically assesses the current state of debate regarding smells within philosophy in the hopes of setting it upon firm scientific footing. The theories to be covered are: Naïve Realism, Hedonic Theories, Process Theory, Odor Theories, and non-Objectivist Theories. The aforementioned theories will be evaluated based on their (...) explanations of the (a) the olfactory quality of a smell, (b) smells as distal entities, and (c) our experience of smells as intentional objects. The paper concludes with a defense of Molecular Structure Theory that demonstrating its superiority in accounting for each of these three aspects of smell. (shrink)

Schupbach and Sprenger introduce a novel probabilistic approach to measuring the explanatory power that a given explanans exerts over a corresponding explanandum. Though we are sympathetic to their general approach, we argue that it does not adequately capture the way in which the causal explanatory power that c exerts on e varies with background knowledge. We then amend their approach so that it does capture this variance. Though our account of explanatory power is less ambitious than Schupbach and Sprenger’s in (...) the sense that it is limited to causal explanatory power, it is also more ambitious because we do not limit its domain to cases where c genuinely explains e. Instead, we claim that c causally explains e if and only if our account says that c explains e with some positive amount of causal explanatory power. 1Introduction 2The Logic of Explanatory Power 3Subjective and Nomic Distributions 3.1Actual degrees of belief 3.2The causal distribution 4Background Knowledge 4.1Conditionalization and colliders 4.2A helpful intervention 5Causal Explanatory Power 5.1The applicability of explanatory power 5.2Statistical relevance ≠ causal explanatory power 5.3Interventionist explanatory power 5.4E illustrated 6Conclusion. (shrink)

It is often thought that traditional recidivism prediction tools used in criminal sentencing, though biased in many ways, can straightforwardly avoid one particularly pernicious type of bias: direct racial discrimination. They can avoid this by excluding race from the list of variables employed to predict recidivism. A similar approach could be taken to the design of newer, machine learning-based (ML) tools for predicting recidivism: information about race could be withheld from the ML tool during its training phase, ensuring that the (...) resulting predictive model does not use race as an explicit predictor. However, if race is correlated with measured recidivism in the training data, the ML tool may ‘learn’ a perfect proxy for race. If such a proxy is found, the exclusion of race would do nothing to weaken the correlation between risk (mis)classifications and race. Is this a problem? We argue that, on some explanations of the wrongness of discrimination, it is. On these explanations, the use of an ML tool that perfectly proxies race would (likely) be more wrong than the use of a traditional tool that imperfectly proxies race. Indeed, on some views, use of a perfect proxy for race is plausibly as wrong as explicit racial profiling. We end by drawing out four implications of our arguments. (shrink)

This paper offers an analysis of the nature of epistemic trust. With increased philosophical attention to social epistemology in general and testimony in particular, the role for an epistemic or intellectual version of trust has loomed large in recent debates. But, too often, epistemologists talk about trust without really providing a sustained examination of the concept. After some introductory comments, I begin by addressing various components key to trust simpliciter. In particular, I examine what we might think of when we (...) consider what it means to place trust in someone. Once we have examined trust in general, we can modify this discussion to derive an epistemic version of trust—placing trust in someone for an epistemic reason. I argue that ET includes four components: belief, communication, reliance, and confidence. The first two sets are distinctively epistemic and the second set of conditions form the core of any kind of trust. Put together,.. (shrink)

During the 2020 COVID-19 pandemic, open science has become central to experimental, public health, and clinical responses across the globe. Open science is described as an open commons, in which a right to science renders all possible scientific data for everyone to access and use. In this common space, capitalist platforms now provide many essential services and are taking the lead in public health activities. These neoliberal businesses, however, have a problematic role in the capture of public goods. This paper (...) argues that the open commons is a community of rights, consisting of people and institutions whose interests mutually support the public good. If OS is a cornerstone of public health, then reaffirming the public good is its overriding purpose, and unethical platforms ought to be excluded from the commons and its benefits. (shrink)

In this paper, I first argue that sometimes freely and knowingly manipulating oneself does not fully preserve moral responsibility – namely, in cases of practically distinct self-manipulation. However, I argue that practically distinct self-manipulation preserves moral responsibility to some extent because such a self-manipulated person is more morally responsibility than an other-manipulated person. This is an important result: manipulating oneself doesn’t always fully preserve one’s moral responsibility for one’s actions. But in what sense is the self-manipulated person more morally responsible? (...) I argue the self-manipulated person is not a fitting target of the reactive attitudes but continues to have wrongdoing-incurred reparative obligations. This explains the intuitive judgement about the self-manipulated person, provides a better explanation of “tracing” cases, and reveals important requirements for a plausible theory of moral responsibility. (shrink)

The paper focusses on two claims about metaphysical structure: Atomism and Fundamentalism. The first of these claims says that there are mereological atoms, i.e. minimal elements in the mereological structure of reality. The second says that there are fundamental truths, i.e. minimal elements in the grounding structure of reality. A philosopher who defended both of these claims was Bernard Bolzano; the present paper is an exploration of his views on the matter.

Olfactory perception provides a promising test case for enactivism, since smelling involves actively sampling our surrounding environment by sniffing. Smelling deploys implicit skillful knowledge of how our movement and the airflow around us yield olfactory experiences. The hybrid nature of olfactory experience makes it an ideal test case for enactivism with its esteem for touch and theoretical roots in vision. Olfaction is like vision in facilitating the perception of distal objects, yet it requires us to breath in and physically contact (...) the sensory object in a manner similar to touch. The paper offers an analysis of the central theoretical components of enactivism, whose soundness and empirical viability are tested using the empirical literature on sniffing. It will be shown that even if sniffing is an essential component of olfaction, the motoric component is not necessary for perceiving smells, which is contrary to the most crucial tenet of enactivism. Thus, the paper concludes that the theory cannot account for olfactory perception. (shrink)

The chapter unfolds in the following sections. The first section exam- ines the reasons for claiming that olfactory perception is spatially unstruc- tured and our experience of smells has an abstract structure. The second section elucidates the further arguments that olfaction cannot generate figure-ground segregation. The third section assesses the conclusion that olfactory perception and experience cannot solve the MPP. Following the overview of the many problems inherent to distal olfactory percep- tion, MST will be introduced as an alternative perspective (...) that allows for figure-ground segregation and perceiving multiple olfactory objects within an array. The chapter then concludes by replying to the shared argument that olfactory distal perception does not have the requisite res- olution to resolve the many properties problem. (shrink)

Pereboom’s Four-Case Argument was once considered to be the most powerful of the manipulation arguments against compatibilism. However, because of Demetriou’s :595–617, 2010) response, Pereboom has significantly weakened his argument. Manipulation arguments in general have also been challenged by King : 65–83, 2013). In this paper, I argue that the Four-Case Argument resists both these challenges. One upshot is that Pereboom doesn’t need weaken his argument. Another is that compatibilists still need a response the Four-Case Argument. And another is that (...) we get a much better understanding of the Four-Case Argument, and of manipulation arguments more generally, than is currently available in the literature. (shrink)

Schupbach and Sprenger introduce a novel probabilistic approach to measuring the explanatory power that a given explanans exerts over a corresponding explanandum. Though we are sympathetic to their general approach, we argue that it does not adequately capture the way in which the causal explanatory power that c exerts on e varies with background knowledge. We then amend their approach so that it does capture this variance. Though our account of explanatory power is less ambitious than Schupbach and Sprenger’s in (...) the sense that it is limited to causal explanatory power, it is also more ambitious because we do not limit its domain to cases where c genuinely explains e. Instead, we claim that c causally explains e if and only if our account says that c explains e with some positive amount of causal explanatory power. (shrink)

Amodal completion is the representation of those parts of the perceived object that we get no sensory stimulation from. While amodal completion is rife and plays an essential role in all sense modalities, philosophical discussions of this phenomenon have almost entirely been limited to vision. The aim of this paper is to examine in what sense we can talk about amodal completion in olfaction. We distinguish three different senses of amodal completion – spatial, temporal and feature-based completion – and argue (...) that all three are present and play a significant role in olfaction. (shrink)

Mental Imagery, whereby we experience aspect of a perceptual scene or perceptual object in the absence of direct sensory stimulation is ubiquitous. Often the existence of mental imagery is demonstrated by asking one’s reader to volitionally generate a visual object, such as closing ones eyes and imagining an apple. However, mental imagery also arises in auditory, tactile, interoceptive, and olfactory cases. A number of influential philosophical theories have attempted to explain mental imagery in terms of belief-based forms of representation using (...) the Dependence Thesis, dependence upon means of access, such as enactivism, or in terms of the similarity of content with perceptual processing. The focus of this paper concerns the later approach and in particular assessing if Nanay’s promissory note that his theory is applicable to modalities other than vision, such as smell, seems likely to be of theoretical tender. The thesis argued for in this paper is that olfactory imagery exists and is best accounted for by considering it as a type of perceptual processing with a unique representational format relative to the olfactory perceptual modality. The paper concludes by summarizing the applicability of Nanay’s theory of mental imagery for olfaction and suggests some further issues that arise when transitioning to multi-modal mental imagery. (shrink)

According to some accounts of exploitation, most notably Ruth Sample’s degradation-based account and Robert Goodin’s vulnerability-based account, exploitation occurs when an advantaged party fails to constrain their advantage in light of another’s disadvantage, regardless of the cause of this disadvantage. Because the duty of constraint in these accounts does not depend on the cause of the disadvantage, the advantaged’s duty of constraint is what I call a ‘come-what-may’ duty. I show that come-what-may duties create moral hazards that can themselves be (...) exploited by the disadvantaged parties. In such cases these accounts of exploitation are either self-frustrating or over-demanding. (shrink)

What is the nature of time? Does it flow? Do the past and future exist? Drawing connections between historical and present-day questions, A Critical Introduction to the Metaphysics of Time provides an up-to-date guide to one of the most central and debated topics in contemporary metaphysics. Introducing the views and arguments of Parmenides, Plato, Aristotle, Descartes, Newton and Leibniz, this accessible introduction covers the history of the philosophy of time from the Pre-Socratics to the beginning of the 20th Century. The (...) historical survey presents the necessary background to understanding more recent developments, including McTaggarts 1908 argument for the unreality of time, the open future, the perdurance/endurance debate, the possibility of time travel, and the relevance of current physics to the philosophy of time. Informed by cutting-edge philosophical research, A Critical Introduction to the Metaphysics of Time evaluates influential historical arguments in the context of contemporary developments. (shrink)

Deflationary positions have been defended in many areas of philosophy. Most prominent are semantic deflationism about truth and reference, and meta-ontological deflationism, according to which existence has no deep nature and the standard neo-Quinean approach to ontology is misguided. Although both kinds of views have generated much discussion, surprisingly little attention has been paid to the question of how they relate to each other. Are they independent, is it advisable to hold them all at once, or do they even entail (...) each other? One exception is Amie Thomasson, who has argued that semantic deflationism actually entails meta-ontological deflationism. This is unexpected, since semantic deflationism is usually regarded as much less controversial than meta-ontological deflationism. In our paper, we will argue that Thomasson’s argument fails though, and that the connection between the views is in fact weaker than she makes them out to be. (shrink)

Objective Futile treatment, which by definition cannot benefit a patient, is undesirable. This research investigated why doctors believe that treatment that they consider to be futile is sometimes provided at the end of a patient9s life. Design Semistructured in-depth interviews. Setting Three large tertiary public hospitals in Brisbane, Australia. Participants 96 doctors from emergency, intensive care, palliative care, oncology, renal medicine, internal medicine, respiratory medicine, surgery, cardiology, geriatric medicine and medical administration departments. Participants were recruited using purposive maximum variation sampling. (...) Results Doctors attributed the provision of futile treatment to a wide range of inter-related factors. One was the characteristics of treating doctors, including their orientation towards curative treatment, discomfort or inexperience with death and dying, concerns about legal risk and poor communication skills. Second, the attributes of the patient and family, including their requests or demands for further treatment, prognostic uncertainty and lack of information about patient wishes. Third, there were hospital factors including a high degree of specialisation, the availability of routine tests and interventions, and organisational barriers to diverting a patient from a curative to a palliative pathway. Doctors nominated family or patient request and doctors being locked into a curative role as the _main_ reasons for futile care. Conclusions Doctors believe that a range of factors contribute to the provision of futile treatment. A combination of strategies is necessary to reduce futile treatment, including better training for doctors who treat patients at the end of life, educating the community about the limits of medicine and the need to plan for death and dying, and structural reform at the hospital level. (shrink)

A theory of blameworthiness must answer two fundamental questions. First, what makes a person blameworthy when they act? Second, what makes a person blameworthy after the time of action? Two main answers have been given to the second question. According to interminability theorists, blameworthiness necessarily doesn’t even diminish over time. Terminability theorists deny this. In this paper, I argue against interminability and in favour of terminability. After clarifying the debate about whether blameworthiness is interminable or terminable, I argue there’s no (...) positive case for interminability. I then respond to three objections to terminability. In doing so, I clarify the nature of blame, self-blame, and posthumous blame. I also give theoretical reasons in favour of the view that a person’s blameworthiness for a minor wrong can not only diminish but also cease completely. (shrink)

Accounts of heavenly freedom typically attempt to reconcile the claim that the redeemed have free will with the claim that the redeemed cannot sin. In this paper, I first argue that Pawl and Timpe :396–417, 2009) tracing account of heavenly freedom—according to which the redeemed in heaven have only ‘derivative’ free will—is untenable. I then sketch an alternative account of heavenly freedom, one which eschews derivative free will. On this account, the redeemed are able to sin in heaven.

According to influential arguments from several branches of philosophy, there exist some gradable natural language expressions that violate the following principle: if x and y are both F to some degree, then either x is at least as F as y or y is at least as F as x. Dorr, Nebel and Zuehl (2022) (DNZ), who refer to this principle as ‘Comparability’, respond to these arguments and offer a systematic case in support of Comparability. In this paper, I respond (...) to DNZ and develop an opposing case against Comparability that (i) buttresses previous criticisms of the principle, (ii) identifies two new arguments against the principle, and (iii) rebuts DNZ’s prospective arguments in favour of the principle. (shrink)

Qualitative-consciousness arises at the sensory level of olfactory processing and pervades our experience of smells to the extent that qualitative character is maintained whenever we are aware of undergoing an olfactory experience. Building upon the distinction between Access and Phenomenal Consciousness the paper offers a nuanced distinction between Awareness and Qualitative-consciousness that is applicable to olfaction in a manner that is conceptual precise and empirically viable. Mounting empirical research is offered substantiating the applicability of the distinction to olfaction and showing (...) that olfactory qualitative-consciousness can occur without awareness, but any olfactory state that we are aware of being in is always qualitative. Evidence that olfactory sensory states have a qualitatively character in the absence of awareness derives from research on mate selection, the selection of social preference for social interaction and acquaintances, as well as the role of olfactory deficits in causing affective disorders. Furthermore, the conservation of secondary processing measures of olfactory valence during olfactory imagery experiments provides verification that olfactory awareness is always qualitatively conscious—all olfactory consciousness smells phenomenal. (shrink)

In this paper, I propose and defend a structural ownership condition on moral responsibility. According to the condition I propose, an agent owns a mental item if and only if it is part of or is partly grounded by a coherent set of psychological states. As I discuss, other theorists have proposed or alluded to conditions like psychological coherence, but each proposal is unsatisfactory in some way. My account appeals to narrative explanation to elucidate the relevant sense of psychological coherence.

Rudolf Carnap’s principle of tolerance states that there is no need to justify the adoption of a logic by philosophical means. Carnap uses the freedom provided by this principle in his philosophy of mathematics: he wants to capture the idea that mathematical truth is a matter of linguistic rules by relying on a strong metalanguage with infinitary inference rules. In this paper, I give a new interpretation of an argument by E. W. Beth, which shows that the principle of tolerance (...) does not suffice to remove all obstacles to the employment of infinitary rules. (shrink)

Non-human animal chimeras, containing human neurological cells, have been created in the laboratory. Despite a great deal of debate, the status of such beings has not been resolved. Under normal definitions, such a being could either be unconventionally human or abnormally animal. Practical investigations in animal sentience, artificial intelligence, and now chimera research, suggest that such beings may be assumed to have no legal rights, so philosophy could provide a different answer. In this vein, therefore, we can ask: What would (...) a chimera, if it could think, think about? Thinking is used to capture the phenomena of a novel, chimeric being perceiving its terrible predicament as no more than a laboratory experiment. The creation of a thinking chimera therefore forces us to reconsider our assumptions about what makes human beings (potentially) unique (and other sentient animals different), because, as such, a chimera’s existence bridges our social and legal expectations about definitions of human and animal. Society has often evolved new social norms based on different kinds of (ir)rational contrivances; the imperative of non-contradiction, which is defended here, therefore requires a specific philosophical response to the rights of a thinking chimeric being. (shrink)

The olfactory system processes smells in a structural manner that is unlike the composition of thoughts or language, suggesting that some of the content of our olfactory experiences are represented in a format that does not involve concepts. Consequently, formative non-conceptual content is offered as an alternative theory of non-conceptual content according to which the difference between conceptual and non-conceptual states is simply a matter of the format of their structural parts and relations within a system of representations. Aside from (...) the theoretical merits of rethinking the quagmire of a debate regarding non-conceptual content as a format issue, studying olfaction shows that formative non-conceptual content is empirically plausible. (shrink)

In this article, I explore a Wittgensteinian approach to blasphemy. While philosophy of religion tends to have very little to say about blasphemy, we can note two key, typically unchallenged, assumptions about it. First, there is the Assertion from Anywhere Assumption: whether one can successfully blaspheme is entirely independent of one’s religious views, commitments, or way of life. Second, there is the Act of Communication Assumption: blasphemy is essentially an act of assertion. I contend that a Wittgensteinian approach rejects both (...) assumptions and, thus, reorients our conception of blasphemy. Take two characteristically Wittgensteinian claims. First, religious statements/beliefs have a different ‘grammar’ than empirical propositions. Second (and relatedly), holding religious beliefs necessarily connects with how one lives. Wittgensteinian blasphemy rejects the Assertion from Anywhere Assumption: to blaspheme, one must be in or have been in the religious framework one blasphemes. Being entirely outside of that context divests one’s blasphemy from its proper content. Second, Wittgensteinian blasphemy rejects the Act of Communication Assumption: if religious belief is centrally a form of life, then blasphemy must be lived out as well. Wittgensteinian blasphemy is less about the utterances one makes and more about how one’s life intersects (or fails to intersect) with religiosity. (shrink)

In this paper I argue that even if one accepts non-cognitivism about trust, the view that trust is not a species of and does not require belief, one should reject voluntarism about trust, the view that we can trust directly at will. There is good reason to think that we cannot trust directly at will, in the way that we can act, and this is so regardless of whether trust requires belief.

Immanuel Kant’s political philosophy has enjoyed renewed attention as an egalitarian alternative to contemporary inequality since it seems to uncompromisingly reassert the primacy of the state over the economy, enabling it to defend the modern welfare state against encroaching neoliberal markets. However, I argue that, when understood as a free-standing approach to politics, Kant’s doctrine of right shares essential features with the prevailing theories that legitimate really existing economic inequality. Like Friedrich Hayek and Milton Friedman, Kant understands the state’s function (...) as essentially coercive and, in justifying state coercion, he adopts a narrow conception of political freedom that formally preserves the right to choose while denying that the range of choices one actually has can be a matter of justice. As a result, Kant cannot identify various forms of social pressure as potential injustices even as he recognizes their power to create and sustain troubling inequalities. For both Kant and the neoliberals, the result is that economic relations almost never count as unjust forms of coercion, no matter how unequal they are. Views that identify coercion as the trigger for duties of justice are thus particularly ill-suited to orient us to contemporary inequality. (shrink)

As a metaphysical theory, radical ontic structural realism is characterised mainly in terms of the ontological primacy it places on relations and structures, as opposed to the individual relata and objects that inhabit these relations/structures. The most popular criticism of ROSR is that its central thesis is incoherent. Bain attempts to address this criticism by arguing that the mathematical language of category theory allows for a coherent articulation of ROSR’s key thesis. Subsequently, Wüthrich and Lam and Lal and Teh have (...) criticised Bain’s arguments and claimed that category theory fares no better than set theory in coherently articulating the main ideas of ROSR. In this paper, we defend Bain’s main arguments against these critiques, and attempt to elaborate on the sense in which category theory can be seen as providing a coherent articulation of ROSR. We also consider the relationship between ROSR and Categorical Quantum Mechanics. (shrink)

Open texture is a kind of semantic indeterminacy first systematically studied by Waismann. In this paper, extant definitions of open texture will be compared and contrasted, with a view towards the consequences of open-textured concepts in mathematics. It has been suggested that these would threaten the traditional virtues of proof, primarily the certainty bestowed by proof-possession, and this suggestion will be critically investigated using recent work on informal proof. It will be argued that informal proofs have virtues that mitigate the (...) danger posed by open texture. Moreover, it will be argued that while rigor in the guise of formalisation and axiomatisation might banish open texture from mathematical theories through implicit definition, it can do so only at the cost of restricting the tamed concepts in certain ways. (shrink)