Contemporary work-related education and training policy represents occupational competence as the outcome of individual performance at work. This paper presents a critique of this neo-liberal assumption, arguing that in many cases competence should be regarded as an attribute of groups, teams and communities. It proposes a theory of collective competence in terms of (1) making collective sense of events in the workplace, (2) developing and using a collective knowledge base and (3) developing a sense of interdependency. It suggests that the (...) language of competence would become a more effective tool for understanding performance at work if the collectivistic sense of the term 'competence' were used in conjunction with the more established individualistic sense. (shrink)

Recent policy statements reveal that the future work-based route to vocational qualifications in the UK will include 'taught knowledge and understanding' as well as competence acquired in the workplace. The intention is to bring National/Scottish Vocational Qualifications into line with the German dual system of apprenticeship, which involves much more academic study. This article seeks to clarify the UK policy by exploring recent developments in the German dual system, and considering two key questions: how to define knowledge and understanding in (...) this context, and how to distribute control of the curriculum between the stakeholders. (shrink)

This article argues that there can be epistemic dilemmas: situations in which one faces conflicting epistemic requirements with the result that whatever one does, one is doomed to do wrong from the epistemic point of view. Accepting this view, I argue, may enable us to solve several epistemological puzzles.

The standard topological representation of a Boolean algebra via the clopen sets of a Stone space requires a nonconstructive choice principle, equivalent to the Boolean Prime Ideal Theorem. In this article, we describe a choice-free topological representation of Boolean algebras. This representation uses a subclass of the spectral spaces that Stone used in his representation of distributive lattices via compact open sets. It also takes advantage of Tarski’s observation that the regular open sets of any topological space form a Boolean (...) algebra. We prove without choice principles that any Boolean algebra arises from a special spectral space X via the compact regular open sets of X; these sets may also be described as those that are both compact open in X and regular open in the upset topology of the specialization order of X, allowing one to apply to an arbitrary Boolean algebra simple reasoning about regular opens of a separative poset. Our representation is therefore a mix of Stone and Tarski, with the two connected by Vietoris: the relevant spectral spaces also arise as the hyperspace of nonempty closed sets of a Stone space endowed with the upper Vietoris topology. This connection makes clear the relation between our point-set topological approach to choice-free Stone duality, which may be called the hyperspace approach, and a point-free approach to choice-free Stone duality using Stone locales. Unlike Stone’s representation of Boolean algebras via Stone spaces, our choice-free topological representation of Boolean algebras does not show that every Boolean algebra can be represented as a field of sets; but like Stone’s representation, it provides the benefit of a topological perspective on Boolean algebras, only now without choice. In addition to representation, we establish a choice-free dual equivalence between the category of Boolean algebras with Boolean homomorphisms and a subcategory of the category of spectral spaces with spectral maps. We show how this duality can be used to prove some basic facts about Boolean algebras. (shrink)

This is an opinionated guide to the literature on epistemic dilemmas. It discusses seven kinds of situations where epistemic dilemmas appear to arise; dilemmic, dilemmish, and non-dilemmic takes on them; and objections to dilemmic views along with dilemmist’s replies to them.

Epistemologists often appeal to the idea that a normative theory must provide useful, usable, guidance to argue for one normative epistemology over another. I argue that this is a mistake. Guidance considerations have no role to play in theory choice in epistemology. I show how this has implications for debates about the possibility and scope of epistemic dilemmas, the legitimacy of idealisation in Bayesian epistemology, uniqueness versus permissivism, sharp versus mushy credences, and internalism versus externalism.

According to the additive view of sensory imagination, mental imagery often involves two elements. There is an image-like element, which gives the experiences qualitative phenomenal character akin to that of perception. There is also a non-image element, consisting of something like suppositions about the image's object. This accounts for extra- sensory features of imagined objects and situations: for example, it determines whether an image of a grey horse is an image of Desert Orchid, or of some other grey horse. The (...) view promises to give a simple and intuitive explanation of some puzzling features of imagination, and, further, to illuminate imagination 's relation to modal knowledge. I contend that the additive view does not fulfil these two promises. The explanation of how images come to be determinate is redundant: the content constituting the indeterminate mental images on which the view relies is sufficient to deliver determinate images too, so the extra resources offered by the view are not required.. (shrink)

Epistemologists spend a great deal of time thinking about how we should respond to our evidence. They spend far less time thinking about the ways that evidence can be acquired in the first place. This is an oversight. Some ways of acquiring evidence are better than others. Many normative epistemologies struggle to accommodate this fact. In this article I develop one that can and does. I identify a phenomenon – epistemic feedback loops – in which evidence acquisition has gone awry, (...) with the result that even beliefs based on the evidence are irrational. Examples include evidence acquired under the influence of confirmation bias and evidence acquired under the influence of cognitively penetrated experiences caused by implicit bias. I then develop a theoretical framework which enables us to understand why beliefs that are the outputs of epistemic feedback loops are irrational. Finally, I argue that many popular approaches to epistemic normativity may need to be abandoned on the grounds that they cannot comfortably explain feedback loops. The scope of this last claim is broad: it includes almost all contemporary theories of justified/rational belief and of the epistemology of cognitive penetration. (shrink)

This article provides an algebraic study of the propositional system $\mathtt {InqB}$ of inquisitive logic. We also investigate the wider class of $\mathtt {DNA}$ -logics, which are negative variants of intermediate logics, and the corresponding algebraic structures, $\mathtt {DNA}$ -varieties. We prove that the lattice of $\mathtt {DNA}$ -logics is dually isomorphic to the lattice of $\mathtt {DNA}$ -varieties. We characterise maximal and minimal intermediate logics with the same negative variant, and we prove a suitable version of Birkhoff’s classic variety (...) theorems. We also introduce locally finite $\mathtt {DNA}$ -varieties and show that these varieties are axiomatised by the analogues of Jankov formulas. Finally, we prove that the lattice of extensions of $\mathtt {InqB}$ is dually isomorphic to the ordinal $\omega +1$ and give an axiomatisation of these logics via Jankov $\mathtt {DNA}$ -formulas. This shows that these extensions coincide with the so-called inquisitive hierarchy of [9].1. (shrink)

This paper investigates the significance of T-duality in string theory: the indistinguisha- bility with respect to all observables, of models attributing radically different radii to space – larger than the observable universe, or far smaller than the Planck length, say. Two interpretational branch points are identified and discussed. First, whether duals are physically equivalent or not: by considering a duality of the familiar simple harmonic oscillator, I argue that they are. Unlike the oscillator, there are no measurements ‘outside’ string theory (...) that could distinguish the duals. Second, whether duals agree or disagree on the radius of ‘target space’, the space in which strings evolve according to string theory. I argue for the latter position, because the alternative leaves it unknown what the radius is. Since duals are physically equivalent yet disagree on the radius of target space, it follows that the radius is indeterminate between them. Using an analysis of Brandenberger and Vafa (1989), I explain why – even so – space is observed to have a determinate, large radius. The conclusion is that observed, ‘phenomenal’ space is not target space, since a space cannot have both a determinate and indeterminate radius: instead phenomenal space must be a higher-level phenomenon, not fundamental. (shrink)

In 1995 Visser, van Benthem, de Jongh, and Renardel de Lavalette introduced NNIL-formulas, showing that these are exactly the formulas preserved under taking submodels of Kripke models. In this article we show that NNIL-formulas are up to frame equivalence the formulas preserved under taking subframes of frames, that NNIL-formulas are subframe formulas, and that subframe logics can be axiomatized by NNIL-formulas. We also define a new syntactic class of ONNILLI-formulas. We show that these are the formulas preserved in monotonic images (...) of frames and that ONNILLI-formulas are stable formulas as introduced by Bezhanishvili and Bezhanishvili in 2013. Thus, ONNILLI is a syntactically defined set of formulas axiomatizing all stable logics. This resolves a problem left open in 2013. (shrink)

I argue that evidentialism should be rejected because it cannot be reconciled with empirical work on bias in cognitive and social psychology.

This paper examines two cosmological models of quantum gravity to investigate the foundational and conceptual issues arising from quantum treatments of the big bang. While the classical singularity is erased, the quantum evolution that replaces it may not correspond to classical spacetime: it may instead be a non-spatiotemporal region, which somehow transitions to a spatiotemporal state. The different kinds of transition involved are partially characterized, the concept of a physical transition without time is investigated, and the problem of empirical incoherence (...) for regions without spacetime is discussed. (shrink)

It has long been thought that observing distinctive traces of quantum gravity in a laboratory setting is effectively impossible, since gravity is so much weaker than all the other familiar forces in particle physics. But the quantum gravity phenomenology community today seeks to do the (effectively) impossible, using a challenging novel class of `tabletop' Gravitationally Induced Entanglement (GIE) experiments, surveyed here. The hypothesized outcomes of the GIE experiments are claimed by some (but disputed by others) to provide a `witness' of (...) the underlying quantum nature of gravity in the non-relativistic limit, using superpositions of Planck-mass bodies. We inspect what sort of achievement it would possibly be to perform GIE experiments, as proposed, ultimately arguing that the positive claim of witness is equivocal. Despite various sweeping arguments to the contrary in the vicinity of quantum information theory or given low-energy quantum gravity, whether or not one can claim to witness the quantum nature of the gravitational field in these experiments decisively depends on which out of two legitimate modelling paradigms one finds oneself in. However, by situating GIE experiments in a tradition of existing experiments aimed at making gravity interestingly quantum in the laboratory, we argue that, independently of witnessing or paradigms, there are powerful reasons to perform the experiments, and that their successful undertaking would indeed be a major advance in physics. (shrink)

In this paper we define the notion of frame based formulas. We show that the well-known examples of formulas arising from a finite frame, such as the Jankov-de Jongh formulas, subframe formulas and cofinal subframe formulas, are all particular cases of the frame based formulas. We give a criterion for an intermediate logic to be axiomatizable by frame based formulas and use this criterion to obtain a simple proof that every locally tabular intermediate logic is axiomatizable by Jankov-de Jongh formulas. (...) We also show that not every intermediate logic is axiomatizable by frame based formulas. (shrink)

We introduce new algebraic and topological semantics for inquisitive logic. The algebraic semantics is based on special Heyting algebras, which we call inquisitive algebras, with propositional valuations ranging over only the ¬¬-fixpoints of the algebra. We show how inquisitive algebras arise from Boolean algebras: for a given Boolean algebra B, we define its inquisitive extension H(B) and prove that H(B) is the unique inquisitive algebra having B as its algebra of ¬¬-fixpoints. We also show that inquisitive algebras determine Medvedev’s logic (...) of finite problems. In addition to the algebraic characterization of H(B), we give a topological characterization of H(B) in terms of the recently introduced choice-free duality for Boolean algebras using so-called upper Vietoris spaces (UV-spaces). In particular, while a Boolean algebra B is realized as the Boolean algebra of compact regular open elements of a UV-space dual to B, we show that H(B) is realized as the algebra of compact open elements of this space. This connection yields a new topological semantics for inquisitive logic. (shrink)

According to one understanding of the problem of dirty hands, every case of dirty hands is an instance of moral conflict, but not every instance of moral conflict is a case of dirty hands. So, what sets the two apart? The dirty hands literature has offered widely different answers to this question but there has been relatively little discussion about their relative merits as well as challenges. In this paper I evaluate these different accounts by making clear which understanding of (...) concept distinctness underlies them and which of them is, ultimately, the most plausible one in the case of dirty hands and ordinary moral conflict. In order to do so, I will borrow from the terminology employed in recent debates in the philosophy of evil which have tackled a similar problem to the one at hand, i.e. defining what sets evil apart from ordinary wrongdoing. Here it has been argued that concepts could be distinct in three ways: they can have a quantitative difference, a strong qualitative or a moderate qualitative difference. I conclude that the most convincing definition of dirty hands draws a moderate qualitative distinction between ordinary moral conflict according to which dirty hands are those moral conflicts that involve a serious violation or betrayal of a core moral value. (shrink)

Metaphysics-—the enquiry into the constitution of reality-seems like the very crown of philosophy. What could be more exciting, more important, and more substantive than the pursuit of such a discipline? The majority of philosophers have been content to assume that metaphysics is a viable enterprise; they have held various metaphysical views and engaged in metaphysical arguments. But there has always been a small but persistent maverick minority of philosophers who have cast aspersions on the whole undertaking. Metaphysics, they tell us, (...) cannot be what it seems. There is something desperately wrong at the heart of the discipline. The jewel is a fake; it is in fact worthless glass. Philosophers make a lot of noise about metaphysics, but perhaps there are really no genuine metaphysical issues—only a lot of bogus hot air. Perhaps metaphysics is a meaningless tale told by idiot philosophers—full of sound and fury, signifying nothing. These pessimistic philosophers may have been few, but they rank among their numbers no less than Wittgenstein, the positivists, and perhaps Kant. So the attitude is to be taken seriously. (shrink)

ABSTRACTIn ‘The Principles of Art’, R. G. Collingwood argues that art is the imaginative expression of emotion. So much the worse, then, for Collingwood. The theory seems hopelessly inadequate to the task of capturing art’s extension: of encompassing all the works we generally suppose should be rounded up under the concept. A great number of artworks, and several art forms, have nothing to do with emotion. But it would be surprising were Collingwood philistine enough to think that art is only (...) ever concerned with communicating quotidian affective states, like anger, fear or love. Surely he has some more sophisticated notion of emotion in mind, and quite probably of expression too. And it turns out that those sophisticated notions can be pushed towards a version of the expression theory that meets the extensional challenge. If we interpret Collingwood as saying that expression is a particular application of imagination, and that imagination is the faculty that refines ideas of emotions, and that ‘emotions’... (shrink)

I consider a number of reasons one might think we should only accept epistemic dilemmas in our normative epistemology as a last resort and argue that none of them is compelling.

Recently it has been increasingly popular to argue that knowledge is the norm of belief. I present an argument against this view. The argument trades on the epistemic situation of the subject in the bad case. Notably, unlike with other superficially similar arguments against knowledge norms, knowledge normers preferred strategy of appealing to the distinction between permissibility and excusability cannot help them to rebut this argument.

People are unable to report how they decide whether to move backwards or forwards to catch a ball. When asked to imagine how their angle of elevation of gaze would change when they caught a ball, most people are unable to describe what happens although their interception strategy is based on controlling changes in this angle. Just after catching a ball, many people are unable to recognise a description of how their angle of gaze changed during the catch. Some people (...) confidently choose incorrect descriptions that would guarantee failure of interception demonstrating unconscious knowledge co-existing with systematically different conscious beliefs. Where simple solutions to important evolutionary problems exist, unconscious perception needs to be impervious to conscious beliefs. (shrink)

We give alternative characterizations of exact, extendible and projective formulas in intuitionistic propositional calculus IPC in terms of n -universal models. From these characterizations we derive a new syntactic description of all extendible formulas of IPC in two variables. For the formulas in two variables we also give an alternative proof of Ghilardi’s theorem that every extendible formula is projective.

We give alternative characterizations of exact, extendible and projective formulas in intuitionistic propositional calculus IPC in terms of n-universal models. From these characterizations we derive a new syntactic description of all extendible formulas of IPC in two variables. For the formulas in two variables we also give an alternative proof of Ghilardi’s theorem that every extendible formula is projective.

This article considers a series of ideas disturbing the conventional wisdom that decrees education an essential force in saving the world. Taking Morton's descriptions of hyperobjects seriously, we consider his radical idea that the world has ended amidst the eco-political depredations of the Anthropocene. Accordingly, we claim that education in modernity most properly belongs - materially and ideologically - with technological enframing and the rise of biopower. In other words, what is taken almost universally as the sacred realm of education (...) is, in fact, a contributory factor in the global eco-ontological crisis. Morton describes global warming, plastics and nuclear arsenals as hyperobjects: viscous, nonlocal entities that exist in temporal and spatial planes vastly different from our own immediate worlds. They are the threatening, difficult to access entities that express the Anthropocene. While most will propose that education will be vital in combating looming ecological apocalypse, we consider that education is a hyperobject itself. Education, we opine, is aligned with the forces and conditions that have generated the present crisis. This is because education embodies the same qualities as the hyperobjects of modernity; according to any rigorous historical ontology, education as we know it must be seen as the most extensive expression of a dangerous biopower that is beyond control. If this position is to be taken seriously, education is not merely impotent in combatting ecological catastrophe, but is a key apparatus supporting the Anthropocene. Education is thus another element of the end of the world. (shrink)

We establish the dichotomy property for stable canonical multi-conclusion rules for IPC, K4, and S4. This yields an alternative proof of existence of explicit bases of admissible rules for these logics.

We conduct a case study analysis of a proposal for the emergence of time based upon the approximate derivation of three grades of temporal structure within an explicit quantum cosmological model which obeys a Wheeler-DeWitt type equation without an extrinsic time parameter. Our main focus will be issues regarding the consistency of the approximations and derivations in question. Our conclusion is that the model provides a self-consistent account of the emergence of chronordinal, chronometric and chronodirected structure. Residual concerns relate to (...) explanatory rather than consistency considerations. (shrink)

Much apprehension has been expressed by philosophers about the method of renormalisation in quantum field theory, as it apparently requires illegitimate procedure of infinite cancellation. This has lead to various speculations, in particular in Teller (1989). We examine Teller's discussion of perturbative renormalisation of quantum fields, and show why it is inadequate. To really approach the matter one needs to understand the ideas and results of the renormalisation group, so we give a simple but comprehensive account of this topic. With (...) this in hand, we explain how renormalisation can and should be understood. One thing that is revealed is that apparently very successful theories such as quantum electro-dynamics cannot be universally true; resolving the tension between success and falsity leads to a picture in which any theory may be viewed as irreducibly phenomenological. We explain how, and argue that the support for this view is tenuous at best. (shrink)

We generalize the notion of a monadic algebra to that of a pseudomonadic algebra. In the same way as monadic algebras serve as algebraic models of epistemic modal system S5, pseudomonadic algebras serve as algebraic models of doxastic modal system KD45. The main results of the paper are: Characterization of subdirectly irreducible and simple pseudomonadic algebras, as well as Tokarz's proper filter algebras; Ordertopological representation of pseudomonadic algebras; Complete description of the lattice of subvarieties of the variety of pseudomonadic algebras.

I argue that it is epistemically permissible to believe that P when it is epistemically rational to believe that P. Unlike previous defenses of this claim, this argument is not vulnerable to the claim that permissibility is being confused with excusability.

Could spacetime be derived rather than fundamental? The question is pressing because attempts to quantize gravity have led to theories in which (arguably) there are either no, or only extremely thin, spacetime structures. Moreover, recent proposals for the interpretation of quantum mechanics have suggested that 3-dimensional space may be an ‘appearance’ derived from the 3N-dimensional space in which an N-particle wavefunction lives (cross- reference). In fact, I will largely assume a positive answer, and investigate how it could be; in particular, (...) I want to explicate the role of philosophy in producing a satisfactory explanation of spacetime, providing a roadmap for philosophical engagement with quantum gravity. (shrink)

This is a draft of a chapter of a book that I was writing (in the early 2000s) on the philosophy of spacetime. It responds to Kant's argument of the lone hand, proposing a relational 'fitting' account of handedness. I plan to revise it as a stand-alone paper, but it is deposited now so that a soon to be published paper can cite a public version.

This paper argues that the dirty hands literature has overlooked a crucial distinction in neglecting to discuss explicitly the issue of, what I call, symmetry. This is the question of whether, once we are confronted with a dirty hands situation, we could emerge with our hands clean depending on the action we choose. A position that argues that we can keep our hands clean I call “asymmetrical” and one that says that we will get our hands dirty no matter what (...) we do I call “symmetrical”. Not acknowledging this distinction is a problem because, firstly, it adds to the existing confusions about how best to define what dirty hands are. Secondly, it prevents the concept of dirty hands from being applied properly to other contexts such as, for example, the responsibility and accountability of politicians. I argue that we have good reason to favour a symmetrical understanding because it gives a more convincing account of what makes an action dirty and because it more accurately captures our complex moral decision-making when faced with dirty hands situations. The paper concludes by outlining possible implications that the distinction between the symmetry view and the asymmetry view has on wider debates surrounding the problem of dirty hands. (shrink)

This paper considers three arguments by David Shugarman and Maureen Ramsay for why dirty hands cannot be democratic. The first argues that it is contradictory, in principle, to use undemocratic means to pursue democratic ends. There is a conceptual connection between means and ends such that getting one’s hands dirty is incompatible with acting in accordance with democratic ends. The second claims that using dirty-handed means, in practice, will undermine democracy more than it promotes it and therefore cannot be justified. (...) The final criticism states that politicians with dirty hands are a sign that politics is no longer meeting the criteria necessary to be called democratic. The paper shows that such rejections of democratic dirty hands are based on misunderstandings of the nature of dirty hands and democratic politics. (shrink)

Despite its central focus on human freedom and individual and social emancipation, critical realism has remained surprisingly quiet on the subject of authenticity. Drawing on a review of critical realist metatheory, and a study of authentic performance in the illuminating cultural context of Early Music, this paper seeks to address this gap by exploring the significance of authenticity in today's morphogenetic society. Real authenticity is introduced as the universal human capacity to reflexively manage the inherent contradictions that arise between and (...) across our intra- and interpersonal relationships at different levels of reality. It is this dialectical, phronetic capacity that determines whether acting in line with our ultimate concerns is both good for us as individuals and the organization of better futures for all. Managing real authenticity, therefore, must be considered at the core of any possible transition theory for human flourishing. (shrink)

The problem of dirty hands is, roughly speaking, concerned with situations in which an agent is faced with a choice between two evils so that, no matter what they do, they will have to violate something of important moral value. Theorists have been primarily concerned with dirty hands choices arising in politics because they are thought to be particularly frequent and pressing in this sphere. Much of the subsequent discussion in the literature has focused on the impact that such choices (...) have on a well-functioning democracy and how, if at all, we can ensure that a politician dirtying their hands does not undermine core democratic values and processes. A particular concern has been whether dirty-handed politicians ought to publicly reveal their actions after the fact and whether they should be held accountable through some form of punishment. The first aim of this paper is to point out that the focus on what is required in the wake of a dirty-handed decision, based on the need to protect the democratic system ought to be balanced with a genuine concern for reparative justice and what is owed to the victims of dirty hands. In the second part of this paper, I then examine the suitability of one common way in which perpetrators partly repair the damage they have done to victims, namely apologizing, in the dirty hands context. (shrink)

This essay argues that policies aimed at suppressing drug use exacerbate the nation's opioid problem. It neither endorses drug use nor advocates legalizing the consumption and sale of all substances in all circumstances. Instead, it contends that trying to suppress drug markets is the wrong goal, and in the midst of an addiction crisis it can be deadly. There is no single, correct drug policy; the right approach depends crucially on the substance at issue, the patterns of use and supply, (...) and the jurisdiction's culture, institutions, and material resources. Decriminalization is no panacea for a nation's drug problems. Nevertheless, either de jure or de facto decriminalization of personal drug possession is a necessary condition for mitigating this crisis. (shrink)

I develop a broadly reliabilist theory of non-ideal epistemic rationality and argue that if it is correct we should reject the recently popular idea that the standards of non-ideal epistemic rationality are mere social conventions.

This paper considers the implications for the relational-substantival debate of observations of parity nonconservation in weak interactions, a much neglected topic. It is argued that 'geometric proofs' of absolute space, first proposed by Kant (1768), fail, but that parity violating laws allow 'mechanical proofs', like Newton's laws. Parity violating laws are explained and arguments analogous to those of Newton's Scholium are constructed to show that they require absolute spacetime structure--namely, an orientation--as Newtonian mechanics requires affine structure. Finally, it is considered (...) how standard relationist responses to Newton's argument might respond to the new challenge of parity nonconservation. (shrink)

This paper revisits the scope of Catherine Malabou’s thinking as a development of the ontological turn in continental philosophy. It puts this excursion of thinking alongside an account of education in modernity as the apotheosis of biopower. It aligns biopower, as manifest in education, as form of ‘technological enframing’. In this it challenges the dominant assumption that education is somehow, ultimately, independently of its manifest form, a force for good. Foregoing the idealist addiction to education as redemption, then, it sees (...) Malabou’s contribution as significant in terms of a fundamental, ontological rethinking of education and the social politics of our time. It is argued that Malabou’s contribution offers a significant contribution to rethinking education as biopower and clearing away the dominant, redemptive myths of modern and contemporary ontotheology. This is a position never entertained in the field of philosophy of education. (shrink)