This discussion focuses on whether Mario Bunge’s emergent materialism implies continuism or not. Íñigo Ongay defends that Bunge’s emergent materialism implies continuism. In his response, Javier Pérez-Jara argues that Bunge’s emergent materialism explicitly assumes structural ontological and epistemological discontinuities in the universe. The question is more than a Scholastic one, concerning only a particular system of philosophy, however relevant for current philosophical materialism. Rather, what is at stake is the ability of non-reductionist ontologies to explain (non-miraculous) novelty and (...) plurality. (shrink)

Much recent work in philosophy of memory discusses the question whether episodic remembering is continuous with imagining. This paper contributes to the debate between continuists and discontinuists by considering a previously neglected source of evidence for continuism: the linguistic properties of overt memory and imagination reports (e.g. sentences of the form 'x remembers/imagines p'). I argue that the distribution and truth-conditional contribution of episodic uses of the English verb 'remember' is surprisingly similar to that of the verb 'imagine' – (...) even when compared to the distribution of other experiential attitude verbs like 'see', 'hallucinate', or 'dream'. This holds despite the presence of some remarkable truth-conditional differences between 'remember' and 'imagine'. I show how these differences can be explained by a continuist account of remembering on which remembering is past-directed, referential, and accurate experiential imagining. (shrink)

A comprehensive and systematic reconstruction of the philosophy of Charles S. Peirce, perhaps America's most far-ranging and original philosopher, which reveals the unity of his complex and influential body of thought. We are still in the early stages of understanding the thought of C. S. Peirce (1839-1914). Although much good work has been done in isolated areas, relatively little considers the Peircean system as a whole. Peirce made it his life's work to construct a scientifically sophisticated and logically rigorous philosophical (...) system, culminating in a realist epistemology and a metaphysical theory ("synechism") that postulates the connectedness of all things in a universal evolutionary process. In The Continuity of Peirce's Thought, Kelly Parker shows how the principle of continuity functions in phenomenology and semeiotics, the two most novel and important of Peirce's philosophical sciences, which mediate between mathematics and metaphysics. Parker argues that Peirce's concept of continuity is the central organizing theme of the entire Peircean philosophical corpus. He explains how Peirce's unique conception of the mathematical continuum shapes the broad sweep of his thought, extending from mathematics to metaphysics and in religion. He thus provides a convenient and useful overview of Peirce's philosophical system, situating it within the history of ideas and mapping interconnections among the diverse areas of Peirce's work. This challenging yet helpful book adopts an innovative approach to achieve the ambitious goal of more fully understanding the interrelationship of all the elements in the entire corpus of Peirce's writings. Given Peirce's importance in fields ranging from philosophy to mathematics to literary and cultural studies, this new book should appeal to all who seek a fuller, unified understanding of the career and overarching contributions of Peirce, one of the key figures in the American philosophical tradition. (shrink)

The purpose of this paper is an axiomatic study of the interrelations between certain continuity properties. We show that every mapping is sequentially continuous if and only if it is sequentially nondiscontinuous and strongly extensional, and that "every mapping is strongly extensional", "every sequentially nondiscontinuous mapping is sequentially continuous", and a weak version of Markov's principle are equivalent. Also, assuming a consequence of Church's thesis, we prove a version of the Kreisel-Lacombe-Shoenfield-Tsĕitin theorem.

The development of rigorous foundations of differential calculus in the course of the nineteenth century led to concerns among physicists about its applicability in physics. Through this development, differential calculus was made independent of empirical and intuitive notions of continuity, and based instead on strictly mathematical conditions of continuity. However, for Boltzmann and Poincaré, the applicability of mathematics in physics depended on whether there is a basis in physics, intuition or experience for the fundamental axioms of mathematics—and this meant that (...) to determine the status of differential equations in physics, they had to consider whether there was a justification for these mathematical continuity conditions in physics. For this reason, their ideas about continuity and discreteness in nature were entangled with epistemology and philosophy of mathematics. They reached opposite conclusions: Poincaré argued that physicists must work with a continuous representation of nature, and thus with differential equations, while Boltzmann argued that physicists must ultimately take nature to be discrete. (shrink)

When it comes to the question of what kind of moral claim an intelligent or autonomous machine might have, one way to answer this is by way of comparison with humans: Is there a fundamental difference between humans and other entities? If so, on what basis, and what are the implications for science and ethics? This question is inherently imprecise, however, because it presupposes that we can readily determine what it means for two types of entities to be sufficiently different—what (...) I will refer to as being “discontinuous”. In this paper, I will sketch a formal characterization of what it means for types of entities to be unique with regard to each other. This expands upon Bruce Mazlish’s initial formulation of what he terms a continuity between humans and machines, Alan Turing’s epistemological approach to the question of machine intelligence, and Sigmund Freud’s notion of scientific revolutions dealing blows to the self-esteem of mankind. I will discuss on what basis we should regard entities as (dis-)continuous, the corresponding moral and scientific implications, as well as an important difference between what I term downgrading and upgrading continuities—a dramatic difference in how two previously discontinuous types of entities might become continuous. All of this will be phrased in terms of which scientific levels of explanation we need to presuppose, in principle or in practice, when we seek to explain a given type of entity. The ultimate purpose is to provide a framework that defines which questions we need to ask if we argue that two types of entities ought (not) to be explained (hence treated) in the same manner, as well as what it takes to reconsider scientific and ethical hierarchies imposed on the natural and artificial world. (shrink)

Continuous deep sedation (CDS) has the effect of making the patient unconscious until death, and that it has this effect is clearly an undesirable aspect of CDS. However, some authors have recently maintained that many physicians do not intend this effect when practicing CDS. According to these authors, CDS is differentiated into two types; in what is called “gradual” CDS (or CDS as a result of proportionate palliative sedation), physicians start with low doses of sedatives and increase them only gradually, (...) whereas in “rapid” CDS (or palliative sedation to unconsciousness), physicians rapidly administer a heavy dose that clearly induces unconsciousness from the beginning. The claim is that the physicians intend permanent unconsciousness only if they rapidly administer a heavy dose, but they do not intend it when the unconsciousness is the result of a gradual increase of sedatives. This paper attempts to refute these claims based on a close examination of the protocol of gradual CDS. If my argument is valid, the doctrine of double effect would not be useful in justifying most, if not all, cases of CDS. (shrink)

We study the complexity of isomorphism of classes of metric structures using methods from infinitary continuous logic. For Borel classes of locally compact structures, we prove that if the equivalence relation of isomorphism is potentially $\mathbf {\Sigma }^0_2$, then it is essentially countable. We also provide an equivalent model-theoretic condition that is easy to check in practice. This theorem is a common generalization of a result of Hjorth about pseudo-connected metric spaces and a result of Hjorth–Kechris about discrete structures. As (...) a different application, we also give a new proof of Kechris’s theorem that orbit equivalence relations of actions of Polish locally compact groups are essentially countable. (shrink)

One important activity in conceptual ethics and conceptual engineering involves proposing to associate a new semantics with an existing word. Many philosophers think that one important way to evaluate such a proposal concerns whether it preserves the “topic” picked out by the existing word, and several have offered competing proposals concerning what is required to preserve topic. Our paper is focused on the conceptual ethics question of how conceptual engineers should use the term ‘topic continuity’. We provide and defend a (...) context-sensitive answer to this question. Our answer is motivated by the idea that there are several distinct considerations that we can reasonably care about (and which many conceptual engineers already do care about) in thinking about “topic continuity”, and, moreover, that how best to weigh them against each other can vary from context to context. On our proposal, ‘topic continuity’ can function as a useful representational device that enables coordination by inquirers with respect to these concerns. We conclude by locating our account in a broader way of thinking about topic continuity across a range of inquiries. (shrink)

Continuous sedation until death is an increasingly common practice in end-of-life care. However, it raises numerous medical, ethical, emotional and legal concerns, such as the reducing or removing of consciousness, the withholding of artificial nutrition and hydration, the proportionality of the sedation to the symptoms, its adequacy in actually relieving symptoms rather than simply giving onlookers the impression that the patient is undergoing a painless 'natural' death, and the perception that it may be functionally equivalent to euthanasia. This book brings (...) together contributions from clinicians, ethicists, lawyers and social scientists, and discusses guidelines as well as clinical, emotional and legal aspects of the practice. The chapters shine a critical spotlight on areas of concern and on the validity of the justifications given for the practice, including in particular the doctrine of double effect. (shrink)

Against Continuity is the first book to demonstrate that the beating heart of Gilles Deleuze's philosophy is a systematic ontology of irreducible, singular entities. This requires a radical break with decades of Deleuzian orthodoxy, according to which Deleuze's metaphysics revolves around the dissolution of discrete entities into a continuous world of flows and events.With reference to all of Deleuze's work, including published and untranslated seminars, as well as the recently published 'Lettres et autres textes', Arjen Kleinherenbrink critically compares Deleuze's ontology (...) to seven related contemporary thinkers: Levi Bryant, Maurizio Ferraris, Markus Gabriel, Manuel DeLanda, Graham Harman, Tristan Garcia and Bruno Latour. These comparisons establish Deleuze as an important precursor to object-oriented speculative realism and open up exciting new avenues of thought for critics and supporters of Deleuze alike. (shrink)

Despite its position in an introductory work to logic, the account of continuity presented by Abū Naṣr Al-Fārābī in his paraphrase of Aristotle’s Categories is apparently even less accessible to the beginner than Aristotle’s original. This is in part because Al-Fārābī integrated elements of the accounts of continuity in Aristotle’s Physics and Metaphysics into an account mainly derived from Aristotle’s Categories. While Al-Fārābī’s account chiefly follows Aristotle’s Categories 6 in describing a continuous object that can be divided into parts with (...) a shared boundary, it borrows the terminology of limits from Physics 5 and the notion of quantity as divisible into its parts from Metaphysics 5.13. In doing so, Al-Fārābī defines continuity using a notion of a limit without determining whether or not it was part of the continuous quantity. This definition could also accommodate atomists, since it would work even if the limit were an atom or several atoms that were part of the continuous object. The broadness of this definition is probably intended to allow students of logic who may have atomist tendencies to accept the account of quantity in the categories tradition, even though they may not be ready to reject atomism until after studying physics. (shrink)

If we imagine a chess-board with alternate blue and red squares, then this is something in which the individual red and blue areas allow themselves to be distinguished from each other in juxtaposition, and something similar holds also if we imagine each of the squares divided into four smaller squares also alternating between these two colours. If, however, we were to continue with such divisions until we had exceeded the boundary of noticeability for the individual small squares which result, then (...) it would no longer be possible to apprehend the individual red and blue areas in their respective positions. But would we then see nothing at all? Not in the least; rather we would see the whole chessboard as violet, i.e. apprehend it as something that participates simultaneously in red and blue. (shrink)

The text is concerned with a class of two-sided stochastic processes of the form. Here is a two-sided Brownian motion with random initial data at time zero and is a function of. Elements of the related stochastic calculus are introduced. In particular, the calculus is adjusted to the case when is a jump process. Absolute continuity of under time shift of trajectories is investigated. For example under various conditions on the initial density with respect to the Lebesgue measure,, and on (...) with we verify i.e. where the product is taken over all coordinates. Here is the divergence of with respect to the initial position. Crucial for this is the temporal homogeneity of in the sense that,, where is the trajectory taking the constant value. By means of such a density, partial integration relative to a generator type operator of the process is established. Relative compactness of sequences of such processes is established. (shrink)

The paper considers and opposes the view that processes are best thought of as continuants, to be differentiated from events mainly by way of the fact that the latter, but not the former, are entities with temporal parts. The motivation for the investigation, though, is not so much the defeat of what is, in any case, a rather implausible claim, as the vindication of some of the ideas and intuitions that the claim is made in order to defend — and (...) the grounding of those ideas and intuitions in a more plausible metaphysics than is provided by the continuant view. It is argued that in addition to a distinction between events and processes there is room and need for a third category, that of the individual process, which can be illuminatingly compared with the idea of a substance. Individual processes indeed share important metaphysical features with substantial continuants, but they do not lack temporal parts. Instead, it is argued that individual processes share with substantial continuants an important property I call ‘modal robustness in virtue of form’. The paper explains what this property is, and further suggests that the category of individual process, thus understood, might be of considerable value to the philosophy of action. (shrink)

Continuous culture techniques were developed in the early twentieth century to replace cumbersome studies of cell growth in batch cultures. In contrast to batch cultures, they constituted an open concept, as cells are forced to proliferate by adding new medium while cell suspension is constantly removed. During the 1940s and 1950s new devices have been designed—called “automatic syringe mechanism,” “turbidostat,” “chemostat,” “bactogen,” and “microbial auxanometer”—which allowed increasingly accurate quantitative measurements of bacterial growth. With these devices cell growth came under the (...) external control of the experimenters and thus accessible for developing a mathematical theory of growth kinetics—developed mainly by Jacques Monod, Aron Novick and Leo Szilard in the early 1950s and still in use today. The paper explores the development of continuous culture devices and claims that these devices are simulators for standard cells following specific requirements, in particular involving mathematical constraints in the design and setting of the devices as well as experiments. These requirements have led to contemporary designs of continuous culture techniques realizing a specific event-based flow algorithm able to simulate directed evolution and produce artificial cells and microorganisms. This current development is seen as an alternative approach to today’s synthetic biology. (shrink)

This essay explores the possibility of a metaphysical concept of continuity, which seems to have an implicit though decisive presence in Deleuze’s thought. It exposes a peculiar continuity that animates the indiscernibility of borders without making its constitutive elements homogenous or convergent, a zone of indiscernibility, wherein the borders vanish between the virtual and actual, expressed and expression, incorporeals and corporeals, sense in the proposition and event in states of affairs. Continuity conditions a fundamental indiscernibility but a heterogeneous one, a (...) disjunctive synthesis that does not compromise or negotiate the heterogeneity of its terms. This divergent continuity is explored in Logic of Sense, through a dialogue with Leibniz’s syncategorematic account of calculus and Dedekind cut. (shrink)

The ‘continuous’ and the ‘discrete’ in nature and in science live and fight forever. The questionnaires and the Lickert scales are indispensable and widely used tools in social sciences research. Vougiouklis & Vougiouklis bar is a new tool introduced as an alternative to Lickert scales. We believe that such an alternative might offer some solutions to problems that crop up during the fight between continuous and discrete. Nevertheless, the greatest contribution of the V&V bar is that it offers the researchers (...) freedom in all stages of the research procedure using a questionnaire. (shrink)

This book takes concepts developed by researchers in theoretical computer science and adapts and applies them to the study of natural language meaning. Summarizing over a decade of research, Chris Barker and Chung-chieh Shan put forward the Continuation Hypothesis: that the meaning of a natural language expression can depend on its own continuation.

This essay explores the possibility of a metaphysical concept of continuity, which seems to have an implicit though decisive presence in Deleuze’s thought. It exposes a peculiar continuity that animates the indiscernibility of borders without making its constitutive elements homogenous or convergent, a zone of indiscernibility, wherein the borders vanish between the virtual and actual, expressed and expression, incorporeals and corporeals, sense in the proposition and event in states of affairs. Continuity conditions a fundamental indiscernibility but a heterogeneous one, a (...) disjunctive synthesis that does not compromise or negotiate the heterogeneity of its terms. This divergent continuity is explored in Logic of Sense, through a dialogue with Leibniz’s syncategorematic account of calculus and Dedekind cut. (shrink)

Ludwig Wittgenstein's philosophical work is informed throughout by a particular broad theme: that the semantic and mentalistic attributes of language and human life are shown by verbal and nonverbal conduct, but that they resist incorporation into the domain of the straightforwardly factual. So argues John Koethe, in contrast to the standard view that Wittgenstein's earlier and later philosophical positions are sharply opposed. According to the received view, Wittgenstein's thinking underwent a radical transformation after the Tractatus, leading him to abandon classical (...) realism and to develop an alternative semantics based on the notion of warranted assertability. Koethe maintains that the thesis that semantic claims are not made true by any facts whatsoever, which was a central part of Wittgenstein's early theory of elementary propositions, was one he continued to develop in his later writings, and that it is perfectly compatible with classical realism. In making his case for the essential continuity of Wittgenstein's thought, Koethe ranges over the entire corpus of the philosopher's writing, and concludes by pointing out connections between Wittgenstein's views and those of several contemporary philosophers, including Nagel, Dennett, Davidson, and Dummett. (shrink)

The objective of this paper is to balance two major conceptual tendencies in science policy studies, continuity and discontinuity theory. While the latter argue for fundamental and distinct changes in science policy in the late 20th century, continuity theorists show how changes do occur but not as abrupt and fundamental as discontinuity theorists suggests. As a point of departure, we will elaborate a typology of scientific governance developed by Hagendijk and Irwin ( 2006 ) and apply it to new empirical (...) material. This makes possible a contextualization of the governance of science related to the codification of the “third assignment” of the Swedish higher education law of 1977. The law defined the relation between university science and Swedish citizens as a dissemination project, and did so despite that several earlier initiatives actually went well beyond such a narrow conceptualisation. Our material reveals continuous interactive and rival arrangements linking the state, public authorities, the universities and private industrial enterprises. We show how different but coexisting modes of governance of science existed in Sweden during the 20th century, in clear contrast with the picture promoted by discontinuity theorists. A close study of the historical development suggests that there were several periods of layered governance when interactions and dynamics associated with continuity as well as discontinuity theories were prevalent. In addition, we conclude that the typology of governance applied in the present paper is fruitful for carrying out historical analyses of the kind embarked upon in spite of certain methodological shortcomings. (shrink)

CONTINUOUS MODEL THEORY CHAPTER I TOPOLOGICAL PRELIMINARIES. Notation Throughout the monograph our mathematical notation does not differ drastically from ...

This paper explores the relationship between temporal continuity in nursing and temporal features of sickness. It is based on phenomenological and hermeneutical philosophy, empirical studies of sickness time, and the nursing theories of Nightingale, of Benner and of Benner and Wrubel. In the first part, temporal continuity is defined as distinct from interpersonal continuity. Tensions between temporal continuity and discontinuity are discussed in the contexts of care management, of conceptualisations of disease and of time itself. Temporal limitations to the methodological (...) concept of situation are discussed. The main part of this paper explores nurses' possibilities to relate to their patients' time, and how temporal features of sickness may warrant temporal continuity of nursing. Three temporal characteristics of sickness are discussed: the immediacy of patients' suffering, the basic continuity of life through sickness and health care, and the indeterminism and precariousness of sickness. The timing of nursing acts is discussed. The paper explores how sickness is both part of the continuity of life, and threatens this continuity. It concludes that this tension is implicitly recognised in the temporal continuity of nursing, which allows for discontinuous and continuous aspects of sickness time. Nurses accordingly perceive the sick person's time at several levels of temporality, and distinguish highly complex temporal processes in their patients' trajectory. Temporal continuity provides the time, flexibility, and closeness for nurses to perceive and act into time dimensions of individual sickness. The paper shows that temporal continuity of nursing is grounded in temporal characteristics of severe sickness. It suggests that temporal continuity is an important theoretical concept in nursing. (shrink)

The status of continuity in Deleuze’s metaphysics is a subject of debate. Deleuze calls the virtual, in Difference and Repetition, an Ideal continuum, and the differential relations that constitute the Ideal imply the continuity of this field. But, Deleuze does not hesitate to formulate the same field by the affirmation of divergence (incompossibility) that can be regarded as a form of discontinuity. It is, hence, unclear how these two ostensibly contradictory accounts might reconcile. This article attempts to reconstitute a Deleuzian (...) theory of continuity through Leibniz, whose philosophy is equally subject to a tension between the law of continuity, prevalent in his mathematics and metaphysics, and the discontinuity or absolute individuality of monads. By reorienting The Fold around the motif of continuity a new conceptual space is opened for continuity qua heterogeneity-and-inseparability. Then, enfolding the conceptual personae of The Fold onto Difference and Repetition reveals the tacit though decisive presence of different types of continuity operational in Deleuze’s metaphysics that will be called divergent, intensive, torsional, and tenorsional continuities. (shrink)

This paper begins by pointing out that the Aristotelian conception of continuity (synecheia) and the contemporary topological account share the same intuitive, proto-topological basis: the conception of a ?natural whole? or unity without joints or seams. An argument of Aristotle to the effect that what is continuous cannot be constituted of ?indivisibles? (e.g., points) is examined from a topological perspective. From that perspective, the argument fails because Aristotle does not recognize a collective as well as a distributive concept of a (...) multiplicity of points. It is the former concept that allows contemporary topology to identify some point sets with spatial regions (in the proto-topological sense of this term). This identification, in turn, allows contemporary topology to do what Aristotle was unwilling to do: to conceive the property of continuity, as well as the properties of having measure greater than zero and having n- dimension, as emergent properties. Thus, a point set can be continuous (connected) although none of its subsets of sufficiently smaller cardinality can be. Finally, the paper discusses the manner in which a topological principle, viz., the principle that none of the singletons of points of a continuum can be open sets of that continuum, captures certain aspects of the Aristotelian proto-topological conception of the relation between points and continua. E.g., for both Aristotle and contemporary topology, points in a continuum exist simple as limits of the remainder of the continuum: their singletons have empty ?interiors? and, hence, they are not ?chunks? (topologically, regular closed set) of the continuum. (shrink)

In the mid-eighteenth century, it was usually taken for granted that all curves described by a single mathematical function were continuous, which meant that they had a shape without bends and a well-defined derivative. In this paper I discuss arguments for this claim made by two authors, Emilie du Châtelet and Roger Boscovich. I show that according to them, the claim follows from the law of continuity, which also applies to natural processes, so that natural processes and mathematical functions have (...) a shared characteristic of being continuous. However, there were certain problems with their argument, and they had to deal with a counterexample, namely a mathematical function that seemed to describe a discontinuous curve. (shrink)

This article is concerned with understanding continuity and stability in teaching, and their significance. It looks particularly at the work of Anthony Giddens on structure and agency, that of Martin Heidegger on the limits of discursive and theoretical analysis, and the communitarian strand within ethics. It applies this discussion to understandings of teachers’ work in the context especially of policy and agendas for change, arguing that continuity and the notion of a community of practitioners is critical to maintaining the distinctive (...) ethical quality of teaching. (shrink)

Many philosophers have claimed that there is a tension between the impenetrability of matter and the possibility of contact between continuous bodies. This tension has led some to claim that impenetrable continuous bodies could not ever be in contact, and it has led others to posit certain structural features to continuous bodies that they believe would resolve the tension. Unfortunately, such philosophical discussions rarely borrow much from the investigation of actual matter. This is probably largely because actual matter is not (...) continuous, and so it might seem as if discussion of the structure of continuous bodies is merely within the realm of philosophical thought experiments rather than actual scientific investigation. However, classical continuum mechanics models actual matter as if it were continuous, and it has implications about the structure of continuous bodies and about what contact and impenetrability are. This paper describes the relevant notions from classical continuum mechanics so as to resolve the alleged tension between contact and impenetrability. (shrink)

We present here a direct elementary construction of continuous utility functions on perfectly separable totally preordered sets that does not make use of the well-known Debreu’s open gap lemma. This new construction leans on the concept of a separating countable decreasing scale. Starting from a perfectly separable totally ordered structure, we give an explicit construction of a separating countable decreasing scale, from which we show how to get a continuous utility map.

'Modern History' views claim that in order for a trait X to have the proper function F, X must have been recently favored by natural selection for doing F (Griffiths 1992, 1993; Godfrey-Smith 1994). For many traits with prototypical proper functions, however, such recent selection may not have occurred, since traits may have been maintained owing to lack of variation or selection for other effects. I explore this flaw in Modern History accounts and offer an alternative etiological theory, which I (...) call the 'Continuing Usefulness' account. According to my view, a trait has the proper function F if and only if, first, the trait was favored by selection for doing F at some point (perhaps far in the past), and, secondly, the trait has recently contributed to survival and reproduction by doing F. This separates the requirement involving natural selection from the one involving the recent past, two issues that the Modern History account conflates. The clear separation allows a detailed analysis of the causal judgments and form of adaptationism that ground the etiological approach to function. (shrink)

The relatively new practice of continuous sedation at the end of life (CS) is increasingly being debated in the clinical and ethical literature. This practice received much attention when a U.S. Supreme Court ruling noted that the availability of CS made legalization of physician-assisted suicide (PAS) unnecessary, as CS could alleviate even the most severe suffering. This view has been widely adopted. In this article, we perform an in-depth analysis of four versions of this ?argument of preferable alternative.? Our goal (...) is to determine the extent to which CS can be considered to be an alternative to PAS and to identify the grounds, if any, on which CS may be ethically preferable to PAS. (shrink)

Changing concepts comes with a risk of creating merely verbal disputes. Accounts of topic continuity (such as Herman Cappelen’s) are supposed to solve this problem. As this paper shows, however, no existing solution avoids the danger of mere verbalness. On the contrary, accounts of topic continuity in fact increase the danger of overlooking merely verbal disputes between pre- and post-ameliorators. Ultimately, this paper suggests accepting the danger of mere verbalness resulting from a change in topic as a downside of conceptual (...) engineering. Changing the topic under discussion may be worth the risk, however, in many cases. In fact, this paper proposes that the main goal of conceptual engineering should be seen as changing topics for the better. (shrink)

This paper addresses a question concerning psycho­logical continuity, i.e., which features preserve the same psychological subject over time; this is not the same question as the one concerning the necessary and sufficient conditions for personal identity. Marc Slors defends an account of psychological continuity that adds two features to Derek Parfit’s Relation R, namely narrativity and embodiment. Slors’s account is a significant improvement on Parfit’s, but still lacks an explicit acknowledgment of a third feature that I call relationality. Because they (...) are usually regarded as cases of radical discontinuity, I start my discussion from the experiences of psychological disruption undergone by victims of severe violence and trauma. As it turns out, the challenges we encounter in granting continuity to the experiences of violence and trauma victims are germane to those we encounter in granting continuity to the experiences of subjects in non-traumatic contexts. What is missing in the most popular accounts of psychological continuity is an explicit acknowledgment of the links that tie our psychological lives to other subjects. A more persuasive notion of psychological continuity is not only embodied and narrative, as is Slors’s notion, but also explicitly relational. (shrink)

Continued confinement of those most vulnerable to COVID-19—e.g., the elderly, those with chronic diseases and other risk factors—is presented as an uncontroversial measure when planning exit strategies from lockdown measures. Policies for deconfinement assume that these persons will remain confined even when others will not. This, however, could last quite a long time, and for some this could mean that they will remain in confinement for the rest of their lives.In a policy brief on ethical, legal, and social issues of (...) transition strategies, the Swiss national COVID-19 science task force stated that:Specific interventions should target the risks associated with isolation... (shrink)

The heart of my dissertation project is the proposal of a new updating rule for responding to learning experiences consisting of continuous streams of evidence. I suggest characterizing this kind of learning experience as a continuous stream of stipulated credal derivatives, and show that Continuous Probability Kinematics is the uniquely coherent response to such a stream which satisfies a continuous analogue of Rigidity – the core property of both Bayesian and Jeffrey conditionalization. In the first chapter, I define neighborhood norms (...) of rationality with reference to Kenny Easwaran’s definition of neighborhood properties. I summarize and comment on some of the key arguments in the dispute between time-slice epistemologists, who argue that there are no fundamentally diachronic norms of rationality, and the proponents of diachronic norms. I am sympathetic to two of the key motivations often given in support of the synchronist position: mentalist internalism and the idea that metaphysical disputes about the identity of persons in bizarre puzzle cases should not play a central role in epistemologists’ assessments of the rationality of agents. However, I argue that time-slice epistemology cannot adequately address the rationality of temporally-extended processes like reasoning and learning. Neighborhood norms present a viable third way between these two positions, capturing much of the spirit of the previously-discussed synchronist motivations while still providing just enough temporal structure to meaningfully guide and evaluate temporally-extended rational processes. Continuous Probability Kinematics is an example of one such neighborhood norm. In the second chapter, I develop my updating rule CPK and establish many of its core properties. Of special note here are the deep connections to Jeffrey’s Probability Kinematics, as well as some key differences. The net result of any CPK updating process will always be representable as a Jeffrey shift on the refined partition generated by the propositions that the agent is receiving direct evidence concerning. However, one crucial difference is that CPK provides an intuitive account of how to combine the effects of learning experiences that are each about fundamentally different underlying partitions. In CPK’s formalism, an agent can receive simultaneous evidence streams about an arbitrary (finite) number of propositions, which can themselves be evidentially related in any way. At any given instant, the result of the combination is a simple sum of the effects that learning about the individual propositions would have separately. CPK is concerned with a novel kind of learning experience and involves a novel characterization of evidence. The third and final chapter of this dissertation is concerned with explaining what this characterization of evidence means and with arguing that it can be the basis for genuine learning. I begin by characterizing learning experiences in terms of the Value of Information, and prove a Value of Information theorem for CPK learning experiences under the assumption of a Martingale constraint on the agent’s prior distribution over the signals that they might receive. I examine Timothy Williamson’s arguments that evidence must be propositional and express my skepticism. I then explore two different routes to model agents who update by CPK as if they are learning some propositional content and updating the rest of their credences by Bayesian conditionalization on this content. The second of these two routes provides a very interesting lens to reexamine the evidential commitments that underwrite updating by CPK, which I analyze. (shrink)

Surveys in different countries (e.g. the UK, Belgium and The Netherlands) show a marked recent increase in the incidence of continuous deep sedation at the end of life (CDS). Several hypotheses can be formulated to explain the increasing performance of this practice. In this paper we focus on what we call the ‘natural death’ hypothesis, i.e. the hypothesis that acceptance of CDS has spread rapidly because death after CDS can be perceived as a ‘natural’ death by medical practitioners, patients' relatives (...) and patients.We attempt to show that the label ‘natural’ cannot be unproblematically applied to the nature of this end-of-life practice. We argue that the labeling of death following CDS as ‘natural’ death is related to a complex set of mechanisms which facilitate the use of this practice. However, our criticism does not preclude the view that CDS may be clinically and ethically justified in many cases. (shrink)

Debates on morally acceptable and lawful end-of-life practices in pediatrics were reignited by the recent amendment in Belgian law to allow euthanasia for minors of any age who meet the criteria for capacity. Euthanasia and its legalization in pediatrics are often opposed based on the availability of aggressive palliative sedation. For terminally ill patients, this type of sedation is often identified as continuous and deep sedation until death. We demonstrate that this reasoning is based on flawed assumptions: CDS is a (...) morally preferable alternative to euthanasia; CDS can meet the same patient needs as euthanasia; children lack the capacity and experience to make EOL decisions; unlike euthanasia, CDS does not raise capacity issues. Our aim is not to reject CDS as a valid option at the EOL, nor to offer a clear-cut defense of euthanasia for minors, but to emphasize the ethical issues with both practices. (shrink)

Technical results about the time dependence of eigenvectors of reduced density operators are considered, and the relevance of these results is discussed for modal interpretations of quantum mechanics which take the corresponding eigenprojections to represent definite properties. Continuous eigenvectors can be found if degeneracies are avoided. We show that, in finite dimensions, the space of degenerate operators has co-dimension 3 in the space of all reduced operators, suggesting that continuous eigenvectors almost surely exist. In any dimension, even when degeneracies are (...) hit, we find conditions under which a theorem due to Rellich can provide continuous eigenvectors. We use this result to formulate an extended version of the modal interpretation. We also discuss eigenvector instability which we argue poses a serious problem for the modal interpretation, even in our extended version. Many examples are given to illustrate the mathematics. (shrink)

We investigate the Ramsey theory of continuous graph-structures on complete, separable metric spaces and apply the results to the problem of covering a plane by functions. Let the homogeneity number[Formula: see text] of a pair-coloring c:[X]2→2 be the number of c-homogeneous subsets of X needed to cover X. We isolate two continuous pair-colorings on the Cantor space 2ω, c min and c max, which satisfy [Formula: see text] and prove: Theorem. For every Polish space X and every continuous pair-coloringc:[X]2→2with[Formula: see (...) text], [Formula: see text] There is a model of set theory in which[Formula: see text]and[Formula: see text]. The consistency of [Formula: see text] and of [Formula: see text] follows from [20]. We prove that [Formula: see text] is equal to the covering number of 2 by graphs of Lipschitz functions and their reflections on the diagonal. An iteration of an optimal forcing notion associated to c min gives: Theorem. There is a model of set theory in which ℝ2 is coverable byℵ1graphs and reflections of graphs of continuous real functions; ℝ2 is not coverable byℵ1graphs and reflections of graphs of Lipschitz real functions. Figure 1.1 in the introduction summarizes the ZFC results in Part I of the paper. The independence results in Part II show that any two rows in Fig. 1.1 can be separated if one excludes [Formula: see text] from row. (shrink)

Abstract:Social contract theory has a rich history. It originated among the ancients with recognition that social arrangements were not products of nature but convention. It developed through the centuries as theorists sought ethical criteria for distinguishing good conventions from bad. The search for such ethical criteria continues in recent attempts to apply social contract theory to organizations. In this paper, I question the concept of consent as a viable ethical criterion, and I argue for an alternate principle of impartiality as (...) a more appropriate moral norm in a social contract theory of organizations. (shrink)

Left-continuous t-norms are much more complicated than the continuous ones, and obtaining a complete classification of them seems to be a very hard task. In this paper we investigate some aspects of left-continuous t-norms, with emphasis on their continuity points. In particular, we are interested in left-continuous t-norms which are isomorphic to t-norms which are continuous in the rationals. We characterize such a class, and we prove that it contains the class of all weakly cancellative left-continuous t-norms.

Historical continuities and constraints in the professionalization of nursingThe support of medicine and the state may be crucial to nursing's current professional aspirations for legitimation and implementation of nursing reforms and for new roles for nurses in health care. As such, medicine and the state are in the invidious position of influencing nursing's occupational future. This situation is not new. An historical analysis of the establishment of nursing at Prince Alfred Hospital, Sydney, Australia, at the end of the nineteenth century (...) reveals that the State Government of NSW and the medical profession supported nursing's occupational development, yet set the framework within which this could occur. For instance, the state provided patronage to nursing through recommendations of the 1873 Royal Commission and because it financially backed Prince Alfred Hospital, while the medical profession defined nursing knowledge and practice through its control of the nursing curriculum. Membership of the hospital board provided both medicine and the state with powerful positions over hospital policies that affected nursing. While nursing became established as a distinct occupation for women with the aid of State and medical support, its subordinate position in health care was, and continues to be, constrained by these traditional supporters. This relationship between nursing, medicine and the state has implications for nursing's current professionalization strategies and aspirations. (shrink)

Spatiotemporal and qualitative continuity are not sufficient to trace the career or path of one and the same object through its history. One needs sortal continuity, guaranteed by the form-token of the object. In this paper I concentrate on the question of sortal continuity linked to the problem of the cohabitation of objects. I intend to test whether it is possible to stick to the belief in continuants or endurers as well as the sortal dependence of identity and at the (...) same time avoid an undesirable multiplication of spatially coinciding objects, i.e., avoid the thesis of cohabitation. I abandon the philosophical view – this is the price to be paid – that the set of the material constituents making up an object is an object proper. The basic units of reality are the objects falling under sortals and not the ultimate components thereof. That a determinate piece of copper is not identical with the statue made from it, therefore, does not imply that we have a cohabitation of two numerically different objects. (shrink)

The role played by continuous morphisms in propositional modal logic is investigated: it turns out that they are strictly related to filtrations and to suitable variants of the notion of a free algebra. We also employ continuous morphisms in incremental constructions of (standard) finitely generated free ????4-algebras.