_Threshold Concepts on the Edge_ explores new directions in threshold concept research and practice and is of relevance to teachers, learners, educational researchers and academic developers.

You can perceive things, in many respects, as they really are. For example, you can correctly see a coin as circular from most angles. Nonetheless, your perception of the world is perspectival. The coin looks different when slanted than when head-on, and there is some respect in which the slanted coin looks similar to a head-on ellipse. Many hold that perception is perspectival because you perceive certain properties that correspond to the “looks” of things. I argue that this view is (...) misguided. I consider the two standard versions of this view. What I call the PLURALIST APPROACH fails to give a unified account of the perspectival character of perception, while what I call the PERSPECTIVAL PROPERTIES APPROACH violates central commitments of contemporary psychology. I propose instead that perception is perspectival because of the way perceptual states are structured from their parts. (shrink)

Winner of the 2014 Edward Goodwin Ballard Award for an Outstanding Book in Phenomenology, awarded by the Center for Advance Research in Phenomenology. -/- Merleau-Ponty and the Paradoxes of Expression offers a comprehensive reading of the philosophical work of Maurice Merleau-Ponty, a central figure in 20th-century continental philosophy. -/- By establishing that the paradoxical logic of expression is Merleau-Ponty's fundamental philosophical gesture, this book ties together his diverse work on perception, language, aesthetics, politics and history in order to establish the (...) ontological position he was developing at the time of his sudden death in 1961. Donald A. Landes explores the paradoxical logic of expression as it appears in both Merleau-Ponty’s explicit reflections on expression and his non-explicit uses of this logic in his philosophical reflection on other topics, and thus establishes a continuity and a trajectory of his thought that allows for his work to be placed into conversation with contemporary developments in continental philosophy. The book offers the reader a key to understanding Merleau-Ponty's subtle methodology and highlights the urgency and relevance of his research into the ontological significance of expression for today's work in art and cultural theory. (shrink)

Conceptual engineering is a philosophical method that aims to design and spread conceptual and linguistic devices to cause meaningful changes in the world. So far, however, conceptual engineers have struggled to successfully spread the conceptual and linguistic entities they have designed to their target communities. This paper argues that conceptual engineering is far more likely to succeed if it incorporates empirical data and empirical methods. Because the causal factors influencing successful propagation of linguistic or conceptual devices are as complicated and (...) interwoven as they are, proper empirical research will greatly boost the likelihood that propagation is successful. In arguing for the superiority of empirical conceptual engineering over armchair-based conceptual engineering, this paper proposes a framework for understanding the causal forces at play in propagation. This is a three-part framework between the label of a lexical item, the psychological states associated with the lexical item, and the worldly things associated with the lexical item. By understanding the way causal forces affecting propagation play out at these three levels, conceptual engineers can better conceptualize, study, and harness the different causal forces affecting the success of their conceptual engineering projects. (shrink)

Conceptual engineering is the practice of revising concepts to improve how people talk and think. Its ability to improve talk and thought ultimately hinges on the successful dissemination of desired conceptual changes. Unfortunately, the field has been slow to develop methods to directly test what barriers stand in the way of propagation and what methods will most effectively propagate desired conceptual change. In order to test such questions, this paper introduces the masked time-lagged method. The masked time-lagged method tests people's (...) conceptual understanding at two different points in time without their knowledge of being tested, allowing us to measure conceptual revision in action. Using a masked time-lagged design on a content internalist framework, we attempted to revise PLANET and DINOSAUR in online participants to match experts' concepts. We successfully revised PLANET but not DINOSAUR, demonstrating some of the difficulties conceptual engineers face. Nonetheless, this paper provides conceptual engineers, regardless of framework, with the tools to tackle questions related to implementation empirically and head-on. (shrink)

Two key themes structure the work of French philosopher of science Gilbert Simondon: the processes of individuation and the nature of technical objects. Moreover, these two themes are also at the heart of contemporary debates within Ethics and Bioethics. Indeed, the question of the individual is a key concern in both Virtue Ethics and Feminist Ethics of Care, while the hyper-technical reality of the present stage of medical technology is a key reason for both the urgency for and the success (...) of the field of Bioethics. And yet, despite its potential for thinking about these issues, Simondon’s philosophy remains largely unknown. Rather than exploring Simondon’s complex ontology for itself, the aim of this paper is to establish what contribution his work can make in Ethics and Bioethics on two essential questions: the relational structure of the self and the nature of the human-technology relation. I argue that Simondon’s re-conceptualization of the individual harmonizes with perspectives in Feminist Bioethics (particularly the Ethics of Care) and points toward what I call an “open” Virtue Ethics that takes relations to be essential. In order to establish this connection, I explore at length the relational approach to Feminist Bioethics offered by Susan Sherwin’s work. I argue that a Simondonian account of technology and of the individual furthers the relational understanding of the self, offers a characterization of Virtue Ethics that is in harmony with the Ethics of Care, and clarifies a notion of responsibility that is implicated in the complex reality of the modern technological milieu. (shrink)

Mental capacities for perceiving, remembering, thinking, and planning involve the processing of structured mental representations. A compositional semantics of such representations would explain how the content of any given representation is determined by the contents of its constituents and their mode of combination. While many have argued that semantic theories of mental representations would have broad value for understanding the mind, there have been few attempts to develop such theories in a systematic and empirically constrained way. This paper contributes to (...) that end by developing a semantics for a ‘fragment’ of our mental representational system: the visual system’s representations of the bounding contours of objects. At least three distinct kinds of composition are involved in such representations: ‘concatenation’, ‘feature composition’, and ‘contour composition’. I sketch the constraints on and semantics of each of these. This account has three principal payoffs. First, it models a working framework for compositionally ascribing structure and content to perceptual representations, while highlighting core kinds of evidence that bear on such ascriptions. Second, it shows how a compositional semantics of perception can be compatible with holistic, or Gestalt, phenomena, which are often taken to show that the whole percept is ‘other than the sum of its parts’. Finally, the account illuminates the format of a key type of perceptual representation, bringing out the ways in which contour representations exhibit domain-specific form of the sort that is typical of structured icons such as diagrams and maps, in contrast to typical discursive representations of logic and language. (shrink)

An ongoing philosophical discussion concerns how various types of mental states fall within broad representational genera—for example, whether perceptual states are “iconic” or “sentential,” “analog” or “digital,” and so on. Here, I examine the grounds for making much more specific claims about how mental states are structured from constituent parts. For example, the state I am in when I perceive the shape of a mountain ridge may have as constituent parts my representations of the shapes of each peak and saddle (...) of the ridge. More specific structural claims of this sort are a guide to how mental states fall within broader representational kinds. Moreover, these claims have significant implications of their own about semantic, functional, and epistemic features of our mental lives. But what are the conditions on a mental state's having one type of constituent structure rather than another? Drawing on explanatory strategies in vision science, I argue that, other things being equal, the constituent structure of a mental state determines what I call its distributional properties—namely, how mental states of that type can, cannot, or must co‐occur with other mental states in a given system. Distributional properties depend critically on and are informative about the underlying structures of mental states, they abstract in important ways from aspects of how mental states are processed, and they can yield significant insights into the variegation of psychological capacities. (shrink)

Philosophical discussions on causal inference in medicine are stuck in dyadic camps, each defending one kind of evidence or method rather than another as best support for causal hypotheses. Whereas Evidence Based Medicine advocates the use of Randomised Controlled Trials and systematic reviews of RCTs as gold standard, philosophers of science emphasise the importance of mechanisms and their distinctive informational contribution to causal inference and assessment. Some have suggested the adoption of a pluralistic approach to causal inference, and an inductive (...) rather than hypothetico-deductive inferential paradigm. However, these proposals deliver no clear guidelines about how such plurality of evidence sources should jointly justify hypotheses of causal associations. We here develop such guidelines by first giving a philosophical analysis of the underpinnings of Hill’s viewpoints on causality. We then put forward an evidence-amalgamation framework adopting a Bayesian net approach to model causal inference in pharmacology for the assessment of harms. Our framework accommodates a number of intuitions already expressed in the literature concerning the EBM vs. pluralist debate on causal inference, evidence hierarchies, causal holism, relevance, and reliability. (shrink)

Varied evidence confirms more strongly than less varied evidence, ceteris paribus. This epistemological Variety of Evidence Thesis enjoys widespread intuitive support. We put forward a novel explication of one notion of varied evidence and the Variety of Evidence Thesis within Bayesian models of scientific inference by appealing to measures of entropy. Our explication of the Variety of Evidence Thesis holds in many of our models which also pronounce on disconfirmatory and discordant evidence. We argue that our models pronounce rightly. Against (...) a backdrop of failures of the Variety of Evidence Thesis, the intuitive case for the Variety of Evidence Thesis emerges strengthened. Our models do however not support the general case for the thesis since our explication of it fails to hold in certain cases. The parameter space of this failure is explored and an explanation for the failure is offered. (shrink)

This paper highlights the role of Lewis’ Principal Principle and certain auxiliary conditions on admissibility as serving to explicate normal informal standards of what is reasonable. These considerations motivate the presuppositions of the argument that the Principal Principle implies the Principle of Indifference, put forward by Hawthorne et al.. They also suggest a line of response to recent criticisms of that argument, due to Pettigrew and Titelbaum and Hart, 621–632, 2020). The paper also shows that related concerns of Hart and (...) Titelbaum, 252–262, 2015) do not undermine the argument of Hawthorne et al.. (shrink)

In the recent debate between conceptualists and nonconceptualists about perceptual content, Kant’s notion of intuition has been invoked on both sides. Conceptualists claim Kant as a forerunner of their position, arguing that Kantian intuitions have the same kind of content as conceptual thought. On the other hand, nonconceptualists claim Kant as a forerunner of their own position, contending that Kantian intuitions have a distinctly nonconceptual kind of content. In this paper, I argue first, that both sides are wrong about Kant, (...) secondly, that neither side can properly account for the epistemic function of intuition, and thirdly, that Kant’s own notion of intuition contains the resources for a third alternative. The epistemic function of an intuition for Kant is to furnish the sensory representation of an object of cognition. Conceptualism cannot account for this function because it construes perception as a species of thought. As a proper appreciation of Kant’s reasons for insisting upon the heterogeneity of thought and perception puts one in a position to see, any view that does this will fail to do justice to the distinctly sensory nature of intuition. Nonconceptualism, on the other hand, cannot account for the epistemic function of intuition because it views intuition as self-standing, and thus as completely independent from thought. As a consequence, nonconceptualism is not entitled to claim that an intuition is itself a cognitive state. I show that Kant’s actual view avoids both these extremes because it involves a different way of conceiving how perception is informed by conceptual thought. Building on this conception, Kant is able to preserve the distinctly sensory nature of intuition, while also securing proper cognitive standing for it. As a result, Kant’s notion of intuition provides the resources for an alternative account of how thought relates to the senses – one that avoids the shortcomings of the positions staked out in the contemporary debate. (shrink)

Objective Bayesian epistemology invokes three norms: the strengths of our beliefs should be probabilities, they should be calibrated to our evidence of physical probabilities, and they should otherwise equivocate sufficiently between the basic propositions that we can express. The three norms are sometimes explicated by appealing to the maximum entropy principle, which says that a belief function should be a probability function, from all those that are calibrated to evidence, that has maximum entropy. However, the three norms of objective Bayesianism (...) are usually justified in different ways. In this paper we show that the three norms can all be subsumed under a single justification in terms of minimising worst-case expected loss. This, in turn, is equivalent to maximising a generalised notion of entropy. We suggest that requiring language invariance, in addition to minimising worst-case expected loss, motivates maximisation of standard entropy as opposed to maximisation of other instances of generalised entropy. Our argument also provides a qualified justification for updating degrees of belief by Bayesian conditionalisation. However, conditional probabilities play a less central part in the objective Bayesian account than they do under the subjective view of Bayesianism, leading to a reduced role for Bayes’ Theorem. (shrink)

The assumption that philosophers rely on intuitions to justify their philosophical positions has recently come under substantial criticism. In order to protect philosophy from experimental findings that suggest that intuitions are epistemically problematic, a number of metaphilosophers have argued that intuitions play no substantial epistemic role in philosophy. This paper focuses on attempts to deny intuitions’ epistemic role through exegetical analysis of original thought experiments. Using Deutsch’s particularly well-developed exegesis of Gettier’s 10 coin case as an exemplar of this method, (...) I examine the challenges the strategy faces. I argue that intuition denial fails to provide a satisfactory account of how verdicts of thought experiments are justified. Instead, it commits intuition deniers to the conclusion that the arguments of Gettier, Kripke, Thomson, and others are bad arguments. As a result, rather than defusing challenges to the case method raised by experimental philosophers, intuition denial ultimately leads to the same troubling conclusion – that philosophers hold their positions on bad grounds. (shrink)

I give an argument against nonconceptualist readings of Kants claim that intuitions and concepts constitute two distinct kinds of representation than is assumed by proponents of nonconceptualist readings. I present such an interpretation and outline the alternative reading of the Deduction that results.

Each of Kant’s three Critiques offers an account of the nature of a mental faculty and arrives at this account by means of a procedure I call ‘faculty analysis’. Faculty analysis is often regarded as among the least defensible aspects of Kant’s position; as a consequence, philosophers seeking to inherit Kantian ideas tend to transpose them into a different methodological context. I argue that this is a mistake: in fact faculty analysis is a live option for philosophical inquiry today. My (...) argument is as follows: Faculty analysis is a live option for certain kinds of philosophical theories if so-called “agentialist” views about the nature of belief are correct. There are good reasons for thinking that such views are correct. So faculty analysis should not be dismissed out of hand. Since the first premise in this argument bears a lot of weight, a large part of the paper is devoted to clarifying and defending it, in part by arguing that Kant himself holds a version of agentialism about belief. (shrink)

It is commonly assumed that images, whether in the world or in the head, do not have a privileged analysis into constituent parts. They are thought to lack the sort of syntactic structure necessary for representing complex contents and entering into sophisticated patterns of inference. I reject this assumption. “Image grammars” are models in computer vision that articulate systematic principles governing the form and content of images. These models are empirically credible and can be construed as literal grammars for images. (...) Images can have rich syntactic structure, though of a markedly different form than sentences in language. (shrink)

The intuitive Variety of Evidence Thesis states that, ceteris paribus, more varied evidence for a hypothesis confirms it more strongly than less varied evidence. Recent Bayesian analyses have raised serious doubts in its validity. Claveau suggests the existence of a novel type of counter-example to this thesis: a gradual increase in source independence can lead to a decrease in hypothesis confirmation. I show that Claveau’s measure of gradual source independence suffers from two unsuspected types of inconsistencies. I hence put forward (...) a more natural measure of gradual source independence which is not plagued by inconsistencies. Claveau’s counter-examples to the variety of evidence thesis disappear with the measure I suggest. I hence argue that my measure is preferable and that this thesis does at least not seem to be troubled by Claveau’s arguments. (shrink)

A dizzying trip through the mind(s) of the provocative and influential thinker Nick Land. During the 1990s British philosopher Nick Land's unique work, variously described as “rabid nihilism,” “mad black deleuzianism,” and “cybergothic,” developed perhaps the only rigorous and culturally-engaged escape route out of the malaise of “continental philosophy” —a route that was implacably blocked by the academy. However, Land's work has continued to exert an influence, both through the British “speculative realist” philosophers who studied with him, and through the (...) many cultural producers—writers, artists, musicians, filmmakers—who have been invigorated by his uncompromising and abrasive philosophical vision. Beginning with Land's early radical rereadings of Heidegger, Nietzsche, Kant and Bataille, the volume collects together the papers, talks and articles of the mid-90s—long the subject of rumour and vague legend (including some work which has never previously appeared in print)—in which Land developed his futuristic theory-fiction of cybercapitalism gone amok; and ends with his enigmatic later writings in which Ballardian fictions, poetics, cryptography, anthropology, grammatology and the occult are smeared into unrecognisable hybrids. Fanged Noumena gives a dizzying perspective on the entire trajectory of this provocative and influential thinker's work, and has introduced his unique voice to a new generation of readers. (shrink)

Objective Bayesianism says that the strengths of one’s beliefs ought to be probabilities, calibrated to physical probabilities insofar as one has evidence of them, and otherwise sufficiently equivocal. These norms of belief are often explicated using the maximum entropy principle. In this paper we investigate the extent to which one can provide a unified justification of the objective Bayesian norms in the case in which the background language is a first-order predicate language, with a view to applying the resulting formalism (...) to inductive logic. We show that the maximum entropy principle can be motivated largely in terms of minimising worst-case expected loss. (shrink)

This paper addresses a data integration problem: given several mutually consistent datasets each of which measures a subset of the variables of interest, how can one construct a probabilistic model that fits the data and gives reasonable answers to questions which are under-determined by the data? Here we show how to obtain a Bayesian network model which represents the unique probability function that agrees with the probability distributions measured by the datasets and otherwise has maximum entropy. We provide a general (...) algorithm, OBN-cDS, which offers substantial efficiency savings over the standard brute-force approach to determining the maximum entropy probability function. Furthermore, we develop modifications to the general algorithm which enable further efficiency savings but which are only applicable in particular situations. We show that there are circumstances in which one can obtain the model directly from the data; by solving algebraic problems; and by solving relatively simple independent optimisation problems. (shrink)

The people of Myanmar were struck by three major human rights disasters during the country's period of democratization from 2003 to 2012: the 2007 Saffron Revolution, the aftermath of Cyclone Nargis in 2008, and the 2012 Rakhine riots, which would evolve into the ongoing Rohingya crisis. These events saw Myanmar's government categorically labeled as an offender of human rights, and three powerful Southeast Asian member states-Indonesia, Thailand, and Malaysia-responded to the violations in very different ways. In each case, their responses (...) to the crises were explicitly shaped by norm conflict, which may be understood as a tension between international and domestic norms. Their reactions were compelled by a need to address conflicting domestic and international expectations for norm compliance regarding human rights protection and non-interference in internal affairs. In Norms in Conflict: Southeast Asia's Response to Human Rights Violations in Myanmar, Anchalee Rüland makes sense of state action that occurs when a governing body is faced with a circumstance that is at once in line with and contrary to its own governing policies. She defines five different types of response strategies to situations of norm conflict and examines the enabling factors that lead to each strategy. Domestic norms are known to evolve as a country's values change over time yet Rüland argues that the old and new norms may also coexist; knowledge of the underlying political context is crucial for those seeking a solid understanding of state behavior. Norms in Conflict challenges the conventional understanding of the logic of consequences in determining state behavior, advancing constructivist theory and establishing a provocative new conversation in international relations discourse. (shrink)

it is sometimes said that one of Kant’s decisive advances over his predecessors was to have anticipated Frege’s functional theory of concepts, along with its corollary that a concept has significance only in the context of the whole proposition.1 Kant is said to break with a tradition that held that there is a self-standing species of concept-use—called apprehensio simplex, or the conceiving of an idea—in which one represents objects by having a concept before one’s mind, independently of connecting it with (...) other concepts in judgment.2 Since Kant’s use of ‘judgment’ covers what Frege calls judging as well as what he calls grasping a thought, the idea is that according to Kant the only way for a thinker to use a.. (shrink)

The aim of this paper is to show that attention to Kant's philosophy of mathematics sheds light on the doctrine that there are two stems of the cognitive capacity, which are distinct, but equally necessary for cognition. Specifically, I argue for the following four claims: The distinctive structure of outer sensible intuitions must be understood in terms of the concept of magnitude. The act of sensibly representing a magnitude involves a special act of spontaneity Kant ascribes to a capacity he (...) calls the productive imagination. Contrary to what is assumed by many commentators, it is not the case that the Two Stems Doctrine implies that a representation is either sensible or spontaneity-dependent, but not both. Outer sensible intuitions are both sensible and spontaneity-dependent – they are sensible because they exhibit the kind of structure Kant takes to be distinctive of outer sensible intuitions, and they depend on spontaneity because they are cases of sensibly representing a magnitude. (shrink)

In recent years, two competing methodological frameworks have developed in the study of the epistemology of philosophy. The traditional camp, led by experimental philosophy and its allies, has made inferences about the epistemology of philosophy based on the reactions, or intuitions, people have to works of philosophy. In contrast, multiple authors have followed the lead of Deutsch and Cappelen by setting aside experimental data in favor of inferences based on careful examination of the text of notable works of philosophy. In (...) other words, the debate is split between authors focusing on philosophy’sconsumptionand those focusing on philosophy’sproduction. This paper examines the motivation for focusing on original texts and other evidence of philosophy’s production and finds it lacking. Drawing upon Hills’ distinction between propagation and transmission, I argue that the social epistemology of philosophy does not justify the recent focus on original texts of philosophy. Because the philosophical knowledge of consumers of philosophy is likelyinspiredby producers of philosophy, as opposed to epistemically grounded in the producers’ epistemic states, experimental philosophy had it right all along—if we want to know the epistemic standing of philosophy, we need to look to philosophy’s consumers. (shrink)

The maximum entropy principle is widely used to determine non-committal probabilities on a finite domain, subject to a set of constraints, but its application to continuous domains is notoriously problematic. This paper concerns an intermediate case, where the domain is a first-order predicate language. Two strategies have been put forward for applying the maximum entropy principle on such a domain: applying it to finite sublanguages and taking the pointwise limit of the resulting probabilities as the size n of the sublanguage (...) increases; selecting a probability function on the language as a whole whose entropy on finite sublanguages of size n is not dominated by that of any other probability function for sufficiently large n. The entropy-limit conjecture says that, where these two approaches yield determinate probabilities, the two methods yield the same probabilities. If this conjecture is found to be true, it would provide a boost to the project of seeking a single canonical inductive logic—a project which faltered when Carnap's attempts in this direction succeeded only in determining a continuum of inductive methods. The truth of the conjecture would also boost the project of providing a canonical characterisation of normal or default models of first-order theories. Hitherto, the entropy-limit conjecture has been verified for languages which contain only unary predicate symbols and also for the case in which the constraints can be captured by a categorical statement of quantifier complexity. This paper shows that the entropy-limit conjecture also holds for categorical statements of complexity, for various non-categorical constraints, and in certain other general situations. (shrink)

Insurance is pervasive in many social settings. As a cooperative device based on risk pooling, it serves to attenuate the adverse consequences of various risks by offering policyholders coverage against the losses implied by adverse events in exchange for the payment of premiums. In the insurance industry, the concept of actuarial fairness serves to establish what could be adequate, fair premiums. Accordingly, premiums paid by policyholders should match as closely as possible their risk exposure. Such premiums are the product of (...) the probabilities of losses and the expected losses. This article presents a discussion of the fairness of actuarial fairness through three steps: defining the concept based on its formulation within the insurance industry; determining in which sense it may be about fairness; and raising some objections to the actual fairness of actuarial fairness. The necessity of a normative evaluation of actuarial fairness is justified by the influence of the concept on the current reforms of public insurance systems and the fact that it highlights the question of the repartition of the gains and burdens of social cooperation. (shrink)

The beginning of the COVID-19 pandemic offers a unique case study for understanding conceptual and linguistic propagation. In early 2020, scientists, politicians, journalists, and other public figures had to, with great urgency, propagate several public health-related concepts and terms to every person they could. This paper examines the propagation of coronavirus and social distancing and develops a framework for understanding how the language used to express a notion can help or hinder propagation. I argue that anyone designing a representational device (...) for propagation needs to appreciate the three-way causal relationship between language, people’s mental representations, and the extramental world. Using this framework, I explore what makes “social distancing” a bad name for social distancing and why it is unproblematic that “coronavirus” is a scientifically loose way of speaking about the virus. Through this and further study of the many historical examples of linguistic and conceptual propagation, conceptual engineers can better understand the complex challenges facing people who want to propagate representational devices. (shrink)

The human visual system is amazing in its ability to guide us in a wide range of tasks - driving, reading, playing ball games, or reading music. Somehow our eyes just manage to find the information we need to perform such tasks. This book explores how our eyes process and communicate the data needed for us to negotiate the world around us.

This paper addresses the problem of finding a Bayesian net representation of the probability function that agrees with the distributions of multiple consistent datasets and otherwise has maximum entropy. We give a general algorithm which is significantly more efficient than the standard brute-force approach. Furthermore, we show that in a wide range of cases such a Bayesian net can be obtained without solving any optimisation problem.

This latest volume in the Oxford Readings in Feminism series presents the results of the multi-disciplinary feminist exploration of the distinction between public and private. Contributors demonstrate the significance of the distinction in feminist theory, its articulation in the modern and late modern public sphere, and its impact on identity politics within feminism in recent years. Feminism, the Public and the Private offers an essential perspective on feminist theory for students and teachers of women's and gender studies, cultural studies, history, (...) political theory, geography and sociology. (shrink)

According to the objective Bayesian approach to inductive logic, premisses inductively entail a conclusion just when every probability function with maximal entropy, from all those that satisfy the premisses, satisfies the conclusion. When premisses and conclusion are constraints on probabilities of sentences of a first-order predicate language, however, it is by no means obvious how to determine these maximal entropy functions. This paper makes progress on the problem in the following ways. Firstly, we introduce the concept of a limit in (...) entropy and show that, if the set of probability functions satisfying the premisses contains a limit in entropy, then this limit point is unique and is the maximal entropy probability function. Next, we turn to the special case in which the premisses are categorical sentences of the logical language. We show that if the uniform probability function gives the premisses positive probability, then the maximal entropy function can be found by simply conditionalising this uniform prior on the premisses. We generalise our results to demonstrate agreement between the maximal entropy approach and Jeffrey conditionalisation in the case in which there is a single premiss that specifies the probability of a sentence of the language. We show that, after learning such a premiss, certain inferences are preserved, namely inferences to inductive tautologies. Finally, we consider potential pathologies of the approach: we explore the extent to which the maximal entropy approach is invariant under permutations of the constants of the language, and we discuss some cases in which there is no maximal entropy probability function. (shrink)

Recent work in social epistemology has shown that, in certain situations, less communication leads to better outcomes for epistemic groups. In this paper, we show that, ceteris paribus, a Bayesian agent may believe less strongly that a single agent is biased than that an entire group of independent agents is biased. We explain this initially surprising result and show that it is in fact a consequence one may conceive on the basis of commonsense reasoning.

Varied evidence for a hypothesis confirms it more strongly than less varied evidence, ceteris paribus. This epistemological Variety of Evidence Thesis enjoys long-standing widespread intuitive support. Recent literature has raised serious doubts that the correlational approach of explicating the thesis can vindicate it. By contrast, the eliminative approach due to Horwich vindicates the Variety of Evidence Thesis but only within a relatively narrow domain. I investigate the prospects of extending the eliminative approach to a larger domain by considering a larger (...) class of sensible explications of evidential variety. For a large subclass class of such explications I show how to construct cases in which the less diverse body of evidence for a hypothesis confirms more strongly. I hence argue that these prospects are dire since the eliminative approach widely fails to vindicate the thesis. (shrink)

Maurice Merleau-Ponty (1908-1961) is one of the central figures of 20th-century Continental philosophy, and his work has been hugely influential in a wide range of fields. His writings engage in the study of perception, language, politics, aesthetics, history and ontology, and represent a rich and complex network of exciting ideas. -/- The Merleau-Ponty Dictionary provides the reader and student of Merleau-Ponty with all the tools necessary to engage with this key thinker: a comprehensive A to Z that provides summaries of (...) all his major texts and articles, clear and straightforward explanations of his terminology and innovative concepts, and detailed discussions of the figures and philosophies that influenced his work. The book also includes a philosophical introduction, a chronology of Merleau-Ponty's life and works, and suggestions for further reading. This dictionary is the ideal reading and research companion for students at all levels. (shrink)

Perception is a central means by which we come to represent and be aware of particulars in the world. I argue that an adequate account of perception must distinguish between what one perceives and what one's perceptual experience is of or about. Through capacities for visual completion, one can be visually aware of particular parts of a scene that one nevertheless does not see. Seeing corresponds to a basic, but not exhaustive, way in which one can be visually aware of (...) an item. I discuss how the relation between seeing and visual awareness should be explicated within a representational account of the mind. Visual awareness of an item involves a primitive kind of reference: one is visually aware of an item when one's visual perceptual state succeeds in referring to that particular item and functions to represent it accurately. Seeing, by contrast, requires more than successful visual reference. Seeing depends additionally on meta-semantic facts about how visual reference happens to be fixed. The notions of seeing and of visual reference are both indispensable to an account of perception, but they are to be characterized at different levels of representational explanation. (shrink)

ABSTRACT Whether explicitly or implicitly, Kant's critical project weighs heavily upon Merleau-Ponty's Phenomenology of Perception. This article argues that we can understand Merleau-Ponty's text as a phenomenological rewriting of the Critique of Pure Reason from within the paradoxical structures of lived experience, effectively merging Kant's Transcendental Aesthetic and Transcendental Analytic. Although he was influenced by Husserl's and Heidegger's interpretations of Kant's first version of the Transcendental Deduction, Merleau-Ponty develops a unique position between Kant, Husserl, and Heidegger via an embodied and (...) lived synthesis that collapses Kant's distinction between sensibility and the understanding, and that makes sense of temporality and subjectivity as a paradoxical trajectory. (shrink)

In his paper ‘The Gibbs Paradox and the Distinguishability of physical Systems’ Robert Rosen discusses the discontinuity of the diffusion entropy S of two gases, A and B.

Objective Bayesians hold that degrees of belief ought to be chosen in the set of probability functions calibrated with one’s evidence. The particular choice of degrees of belief is via some objective, i.e., not agent-dependent, inference process that, in general, selects the most equivocal probabilities from among those compatible with one’s evidence. Maximising entropy is what drives these inference processes in recent works by Williamson and Masterton though they disagree as to what should have its entropy maximised. With regard to (...) the probability function one should adopt as one’s belief function, Williamson advocates selecting the probability function with greatest entropy compatible with one’s evidence while Masterton advocates selecting the expected probability function relative to the density function with greatest entropy compatible with one’s evidence. In this paper we discuss the significant relative strengths of these two positions. In particular, Masterton’s original proposal is further developed and investigated to reveal its significant properties; including its equivalence to the centre of mass inference process and its ability to accommodate higher order evidence. (shrink)

The requirement of gauge invariance for the Schwinger-DeWitt equations, interpreted as a manifestly covariant quantum theory for the evolution of a system in spacetime, implies the existence of a five-dimensional pre-Maxwell field on the manifold of spacetime and “proper time” τ. The Maxwell theory is contained in this theory; integration of the field equations over τ restores the Maxwell equations with the usual interpretation of the sources. Following Schwinger's techniques, we study the Green's functions for the five-dimensional hyperbolic field equations (...) for both signatures ± [corresponding to O(4, 1) or O(3, 2) symmetry of the field equations] of the proper time derivative. The classification of the Green's functions follows that of the four-dimensional theory for “massive” fields, for which the “mass” squared may be positive or negative, respectively. The Green's functions for the five-dimensional field are then given by the Fourier transform over the “mass” parameter. We derive the Green's functions corresponding to the principal part ΔP and the homogeneous function Δ 1 ; all of the Green's functions can be expressed in terms of these, as for the usual field equations with definite mass. In the O(3, 2) case, the principal part function has support for x2⩾τ2, corresponding to spacelike propagation, as well as along the light cone x2=0 (for τ=0). There can be no transmission ofinformation in spacelike directions, with this propagator, since the Maxwell field, obtained by integration over τ, does not contain this component of the support. Measurements are characterized by such an integration. The spacelike field therefore can dynamically establish spacelike correlations. (shrink)