Let us agree that everything that there is exists, and that to be, to be real, and to exist are one and the same. Does everything that there is exist to the same degree? Or do some things exist more than others? Are there gradations of being? I argue that some entities exist more than others. Moreover, many of the notions in play in contemporary metaphysical discourse, such as fundamentality, perfect naturalness, and grounding ought to be cashed out in (...) terms of degree of existence. (shrink)

The topic of degrees of being in Aristotle is almost universally ignored. A very few scholars do discuss the topic or make use of it in passing. This situation mightbe explained by a scholarly consensus that Aristotle did have a doctrine ofdegrees of being, but this doctrine is too uninteresting to be worth much discussion. Conversation with a number of scholars from several countries has convinced me, however, that a rather different consensus lies behind the current silence. (...) It turnsout that many experts in the subject deny that Aristotle believed in degrees of being.No one, to my knowledge, has defended this denial in print. But the reason forsilence is not that the topic is dull, but that it is scandalous. Both defenders andopponents of the view that Aristotle had a doctrine of degrees of being tend, in conversation, to find the topic embarrassing. Our contemporary metaphysical prejudices areso opposed to degrees of being that people find themselves unable to make anysense of such a doctrine. As a result, one group of scholars is embarrassed on Aristotle's behalf at the suggestion that he might have held such a senseless doctrine.Another group, less sure of where the philosophical truth lies, finds itself in theinterpretative embarrassment of being unable to explain and motivate the doctrine. So bothgroups avoid the subject. (shrink)

In previous work, I have argued that subjectivists about well-being must turn from a preference-satisfaction to a desire-satisfaction theory of well-being in order to avoid the conceptual problem of interpersonal comparisons of well-being. In a recent paper, Van der Deijl and Brouwer agree, but object that no version of the desire-satisfaction theory can provide a plausible account of how an individual's degree of well-being depends on the satisfaction or frustration of their various desires, at least in (...) cases involving the gain or loss of desires. So subjectivists can avoid the conceptual problem of interpersonal comparisons only by adopting a substantively implausible view. In this reply, I defend subjectivism by arguing that the totalist desire-satisfaction theory avoids Van der Deijl and Brouwer's objections, and briefly suggest that it may also be able to handle the problem of adaptive desires. I conclude that subjectivists should endorse the totalist desire-satisfaction theory. (shrink)

The primary aim of this paper is to analyze the concept of degrees of causal contribution for actual events and examine the way in which it can be formally defined. This should go some way to filling out a gap in the legal and philosophical literature on causation. By adopting the conception of a cause as a necessary element of a sufficient set (the so-called NESS test) we show that the concept of degrees of causation can be given (...) clear and even empirical meaning. We then apply a game theoretical framework to derive a measure of causal contribution. Our favoured measure turns out to be a generalised version of the normalized Penrose–Banzhaf index of voting power. (shrink)

In the science of consciousness, it’s oftentimes assumed that some creatures (or mental states) are more conscious than others. But in recent years, a number of philosophers have argued that the notion of degrees of consciousness is conceptually confused. This paper (1) argues that the most prominent objections to degrees of consciousness are unsustainable, (2) examines the semantics of ‘more conscious than’ expressions, (3) develops an analysis of what it is for a degreed property to count as (...) class='Hi'>degrees of consciousness, and (4) applies the analysis to various theories of consciousness. I argue that whether consciousness comes in degrees ultimately depends on which theory of consciousness turns out to be correct. But I also argue that most theories of consciousness entail that consciousness comes in degrees. (shrink)

Defining the degree of categoricity of a computable structure ${\mathcal{M}}$ to be the least degree d for which ${\mathcal{M}}$ is d-computably categorical, we investigate which Turing degrees can be realized as degrees of categoricity. We show that for all n, degrees d.c.e. in and above 0 (n) can be so realized, as can the degree 0 (ω).

In everyday life, we assume that there are degrees of blameworthiness and praiseworthiness. Yet the debate about the nature of moral responsibility often focuses on the “yes or no” question of whether indeterminism is required for moral responsibility, while questions about what accounts for more or less blameworthiness or praiseworthiness are underexplored. In this paper, I defend the idea that degrees of blameworthiness and praiseworthiness can depend in part on degrees of difficulty and degrees of sacrifice (...) required for performing the action in question. Then I turn to the question of how existing accounts of the nature of moral responsibility might be seen to accommodate these facts. In each case of prominent compatibilist and incompatibilist accounts that I consider, I argue that supplementation with added dimensions is required in order to account for facts about degrees of blameworthiness and praiseworthiness. For example, I argue that the reasons-responsiveness view of Fischer and Ravizza requires supplementation that takes us beyond even fine-grained measures of degrees of reasons-responsiveness in order to capture facts about degrees of difficulty to extend the reasons-responsiveness view by appealing to such measures). I conclude by showing that once we recognize the need for these additional parameters, we will be in a position to explain away at least some of the appeal of incompatibilist accounts of moral responsibility. (shrink)

Two objects of valuation are said to be incommensurable if neither is better than the other, nor are they equally good. This negative, coarse-grained characterization fails to capture the nuanced structure of incommensurability. We argue that our evaluative resources are far richer than orthodoxy recognizes. We model value comparisons with the corresponding class of permissible preference orderings. Then, making use of our model, we introduce a potentially infinite set of degrees of approximation to better, worse, and equally good, which (...) we interpret as degrees of commensurability.One payoff is the solution our approach provides to a paradox in population ethics, generated by Parfit's “Continuum Argument”. Parfit imagines a sequence of populations, starting with one consisting of excellent lives and, by a sequence of apparent improvements, reaching a much larger population of lives barely worth living. What he dubs “the Repugnant Conclusion” is that the final population is better than the first. Developing Parfit's response, we argue that some of the populations in the sequence are merely almost better than their immediate predecessors. Almost better is not transitive (unlike better). We offer analogies to other ‘spectrum arguments’, Condorcet's paradox, and to developments in formal epistemology. (shrink)

Visual information conveyed by iconic hand gestures and visible speech can enhance speech comprehension under adverse listening conditions for both native and non‐native listeners. However, how a listener allocates visual attention to these articulators during speech comprehension is unknown. We used eye‐tracking to investigate whether and how native and highly proficient non‐native listeners of Dutch allocated overt eye gaze to visible speech and gestures during clear and degraded speech comprehension. Participants watched video clips of an actress uttering a clear or (...) degraded (6‐band noise‐vocoded) action verb while performing a gesture or not, and were asked to indicate the word they heard in a cued‐recall task. Gestural enhancement was the largest (i.e., a relative reduction in reaction time cost) when speech was degraded for all listeners, but it was stronger for native listeners. Both native and non‐native listeners mostly gazed at the face during comprehension, but non‐native listeners gazed more often at gestures than native listeners. However, only native but not non‐native listeners' gaze allocation to gestures predicted gestural benefit during degraded speech comprehension. We conclude that non‐native listeners might gaze at gesture more as it might be more challenging for non‐native listeners to resolve the degraded auditory cues and couple those cues to phonological information that is conveyed by visible speech. This diminished phonological knowledge might hinder the use of semantic information that is conveyed by gestures for non‐native compared to native listeners. Our results demonstrate that the degree of language experience impacts overt visual attention to visual articulators, resulting in different visual benefits for native versus non‐native listeners. (shrink)

This paper describes a formal measure of epistemic justification motivated by the dual goal of cognition, which is to increase true beliefs and reduce false beliefs. From this perspective the degree of epistemic justification should not be the conditional probability of the proposition given the evidence, as it is commonly thought. It should be determined instead by the combination of the conditional probability and the prior probability. This is also true of the degree of incremental confirmation, and I argue that (...) any measure of epistemic justification is also a measure of incremental confirmation. However, the degree of epistemic justification must meet an additional condition, and all known measures of incremental confirmation fail to meet it. I describe this additional condition as well as a measure that meets it. The paper then applies the measure to the conjunction fallacy and proposes an explanation of the fallacy. (shrink)

For the purposes of this monograph, "by a degree" is meant a degree of recursive unsolvability. A degree [script bold]m is said to be minimal if 0 is the unique degree less than [script bold]m. Each of the six chapters of this self-contained monograph is devoted to the proof of an existence theorem for minimal degrees.

Initially Einstein, Podolsky, and Rosen (EPR) and later Bell shed light on the non-local properties exhibited by subsystems in quantum mechanics. Separately, Kochen and Specker analyzed sets of measurements of compatible observables and found that a consistent coexistence of these results is impossible, i.e., quantum indefiniteness of measurement results. As a consequence, quantum contextuality, a more general concept compared to non-locality, leads to striking phenomena predicted by quantum theory. Here, we report neutron interferometric experiments which investigate entangled states in a (...) single-particle system: entanglement is, in this case, achieved not between particles, but between degrees of freedom i.e., between spin, path, and energy degrees of freedom. Appropriate combinations of the spin analysis and the position of the phase shifter in the interferometer allow an experimental verification of the violation of a Bell-like inequality. In addition, state tomography, tomographic analysis of the density matrix of a quantum system, and Kochen-Specker-like phenomena are presented to characterize neutrons’ entangled states and their peculiarity. Furthermore, a coherent energy manipulation scheme is accomplished with a radio-frequency (RF) spin-flipper. This scheme allows the (total) energy degree of freedom to be entangled: the remarkable behavior of a triply entangled GHZ-like state is demonstrated. (shrink)

We investigate the complexity of isomorphisms of computable structures on cones in the Turing degrees. We show that, on a cone, every structure has a strong degree of categoricity, and that degree of categoricity is${\rm{\Delta }}_\alpha ^0 $-complete for someα. To prove this, we extend Montalbán’sη-system framework to deal with limit ordinals in a more general way. We also show that, for any fixed computable structure, there is an ordinalαand a cone in the Turing degrees such that the (...) exact complexity of computing an isomorphism between the given structure and another copy${\cal B}$in the cone is a c.e. degree in${\rm{\Delta }}_\alpha ^0\left$. In each of our theorems the cone in question is clearly described in the beginning of the proof, so it is easy to see how the theorems can be viewed as general theorems with certain effectiveness conditions. (shrink)

We regularly make graded normative judgements in the epistemic domain. Recent work in the literature examines degrees of justification, degrees of rationality, and degrees of assertability. This paper addresses a different dimension of the gradeability of epistemic normativity, one that has been given little attention. How should we understand degrees of epistemic criticizability? In virtue of what sorts of factors can one epistemic failing be worse than another? The paper develops a dual-factor view of degrees (...) of epistemic criticizability. According to the view, degrees of epistemic criticizability are (i) an inverse function of degrees of doxastic justification and (ii) a function of degrees of agent culpability. The paper develops an account of each factor, and explains how they should be weighted. The paper also addresses the importance of modelling degrees of epistemic criticizability in a broader context. I focus on the role that such a model can play in the ethics of epistemic criticism. (shrink)

The primary aim of this paper is to analyze the concept of degrees of causal contribution for actual events and examine the way in which it can be formally defined. This should go some way to filling out a gap in the legal and philosophical literature on causation. By adopting the conception of a cause as a necessary element of a sufficient set (the so-called NESS test) we show that the concept of degrees of causation can be given (...) clear and even empirical meaning. We then apply a game theoretical framework to derive a measure of causal contribution. Our favoured measure turns out to be a generalised version of the normalized Penrose-Banzhaf index of voting power. (shrink)

I first seriously contemplated writing a book on degree theory in 1976 while I was visiting the University of Illinois at Chicago Circle. There was, at that time, some interest in ann-series book about degree theory, and through the encouragement of Bob Soare, I decided to make a proposal to write such a book. Degree theory had, at that time, matured to the point where the local structure results which had been the mainstay of the earlier papers in the area (...) were finding a steadily increasing number of applications to global degree theory. Michael Yates was the first to realize that the time had come for a systematic study of the interaction between local and global degree theory, and his papers had a considerable influence on the content of this book. During the time that the book was being written and rewritten, there was an explosion in the number of global theorems about the degrees which were proved as applications of local theorems. The global results, in turn, pointed the way to new local theorems which were needed in order to make further progress. I have tried to update the book continuously, in order to be able to present some of the more recent results. It is my hope to introduce the reader to some of the fascinat ing combinatorial methods of Recursion Theory while simultaneously showing how to use these methods to prove some beautiful global theorems about the degrees. (shrink)

In this paper I am concerned with the question of whether degrees of belief can figure in reasoning processes that are executed by humans. It is generally accepted that outright beliefs and intentions can be part of reasoning processes, but the role of degrees of belief remains unclear. The literature on subjective Bayesianism, which seems to be the natural place to look for discussions of the role of degrees of belief in reasoning, does not address the question (...) of whether degrees of belief play a role in real agents’ reasoning processes. On the other hand, the philosophical literature on reasoning, which relies much less heavily on idealizing assumptions about reasoners than Bayesianism, is almost exclusively concerned with outright belief. One possible explanation for why no philosopher has yet developed an account of reasoning with degrees of belief is that reasoning with degrees of belief is not possible for humans. In this paper, I will consider three arguments for this claim. I will show why these arguments are flawed, and conclude that, at least as far as these arguments are concerned, it seems like there is no good reason why the topic of reasoning with degrees of belief has received so little attention. (shrink)

While many authors distinguish belief from acceptance, it seems almost universally agreed that no similar distinction can be drawn between degrees of belief, or credences, and degrees of acceptance. I challenge this assumption in this paper. Acceptance comes in degrees and acknowledging this helps to resolve problems in at least two philosophical domains. Degrees of acceptance play vital roles when we simplify our reasoning, and they ground the common ground of a conversation if we assume context (...) probabilism, i.e., that the common ground must be represented with probability spaces rather than possible worlds. (shrink)

In 2008 the Human Fertilisation and Embryology Act amendments made deliberately choosing to bring disability into the world, using assisted reproduction, a criminal offence. This paper considers whether the legal prohibition above, should influence other policy areas concerning the welfare of future children such as new possibilities presented by foetal surgery and in utero gene therapy. If we have legal duties to avoid disability in one context should this influence our avoidance of disability in this other context? This paper investigates (...) whether the State might have a stake in wider promotion of practices to reduce the degree of disability in foetuses that will come to exist. Not selecting for disability does not affect the welfare of any future individual, whereas treating in utero abnormalities can optimize the eventual child’s welfare; antenatal interventions stand to improve clinical outcomes and welfare should that specific child be born. I explore why the State may want to intervene in the antenatal setting and to what extent, if at all; the State should implement these technologies. I argue that if the State is justified in intervening to outlaw the choosing to create disabled lives using assisted reproductive techniques, it is also justified in putting pressure on prospective parents to accept therapies in utero to help their child be born less disabled. However, I qualify this with the argument that the State is not justified in using force or the criminal law in this situation during pregnancy. (shrink)

Starting from John MacFarlane's recent survey of answers to the question ‘What is assertion?’, I defend an account of assertion that draws on elements of MacFarlane's and Robert Brandom's commitment accounts, Timothy Williamson's knowledge norm account, and my own previous work on the normative status of logic. I defend the knowledge norm from recent attacks. Indicative conditionals, however, pose a problem when read along the lines of Ernest Adams' account, an account supported by much work in the psychology of reasoning. (...) Furthermore, there seems to be no place for degrees of belief in the accounts of belief and assertion given here. Degrees of belief do have a role in decision‐making, but, again, there is much evidence that the orthodox theory of subjective utility maximization is not a good description of what we do in decision‐making and, arguably, neither is it a good normative guide to how we ought to make decisions. (shrink)

Levin and Schnorr (independently) introduced the monotone complexity, Km(α), of a binary string α. We use monotone complexity to define the relative complexity (or relative randomness) of reals. We define a partial ordering ≤Km on 2ω by α ≤Km β iff there is a constant c such that Km(α ↾ n) ≤ Km(β ↾ n) + c for all n. The monotone degree of α is the set of all β such that α ≤Km β and β ≤Km α. We (...) show the monotone degrees contain an antichain of size 2N0, a countable dense linear ordering (of degrees of cardinality 2N0), and a minimal pair. Downey, Hirschfeldt, LaForte, Nies and others have studied a similar structure, the K -degrees, where K is the prefix-free Kolmogorov complexity. A minimal pair of K -degrees was constructed by Csima and Montalbán. Of particular interest are the noncomputable trivial reals, first constructed by Solovay. We define a real to be (Km, K)-trivial if for some constant c, Km(α ↾ n) ≤ K(n)+c for all n. It is not known whether there is a Km-minimal real, but we show that any such real must be (Km, K)-trivial. Finally, we consider the monotone degrees of the computably enumerable (c.e.) and strongly computably enumerable (s.c.e.) reals. We show there is no minimal c.e. monotone degree and that Solovay reducibility does not imply monotone reducibility on the c.e. reals. We also show the s.c.e. monotone degrees contain an infinite antichain and a countable dense linear ordering. (shrink)

In this paper I argue that a Naturalist conception of personhood, such as the one defended by Derek Parfit, implies that there are degrees of personhood, i.e., that it makes sense to say one individual has a greater degree of personhood than another. I describe both criteria of general personhood, which distinguish between persons and non-persons, and criteria of particular personhood, which distinguish between one person and another. I examine some of the consequences for ethics, including the rights to (...) life, self-determination, and treatment. There may be circumstances in medicine where we have to judge the value of a patient's life in order to decide what medical treatment, if any, to provide, and although it may be emotionally difficult and politically dangerous, one relevant factor is what degree of personhood that individual has. (shrink)

This paper argues that the doctrines of determinism and supervenience, while logically independent, are importantly linked in physical mechanics—and quite interestingly so. For it is possible to formulate classical mechanics in such a way as to take advantage of the existence of mathematical devices that represent the advance of time—and which are such as to inspire confidence in the truth of determinism—in order to prevent violation of supervenience. It is also possible to formulate classical mechanics-and to do so in an (...) observationally equivalent, and thus equally empirically respectable, way—such that violations of supervenience are (on the one hand) routine, and (on the other hand) necessary for achieving complete descriptions of the motions of mechanical systems—necessary, therefore, for achieving a deterministic mechanical theory. Two such formulations—only one of which preserves supervenience universally—will conceive of mechanical law in quite different ways. What's more, they will not admit of being extended to treat thermodynamical questions in the same way. Thus we will find that supervenience is a contingent matter, in the following rather surprising and philosophically interesting way: we cannot in mechanics separate our decisions to conceive of physical law in certain ways from our decisions to treat macroscopic quantities in certain ways. (shrink)

In this paper, we take a fresh look at three Popperian concepts: riskiness, falsifiability, and truthlikeness of scientific hypotheses or theories. First, we make explicit the dimensions that underlie the notion of riskiness. Secondly, we examine if and how degrees of falsifiability can be defined, and how they are related to various dimensions of the concept of riskiness as well as the experimental context. Thirdly, we consider the relation of riskiness to truthlikeness. Throughout, we pay special attention to probabilistic (...) theories and we offer a tentative, quantitative account of verisimilitude for probabilistic theories. (shrink)

According to a suggestion by Williamson, outright belief comes in degrees: one has a high/low degree of belief iff one is willing to rely on the content of one’s belief in high/low-stakes practical reasoning. This paper develops an epistemic norm for degrees of outright belief so construed. Starting from the assumption that outright belief aims at knowledge, it is argued that degrees of belief aim at various levels of strong knowledge, that is, knowledge which satisfies particularly high (...) epistemic standards. This account is contrasted with and shown to be superior to an alternative proposal according to which higher degrees of outright belief aim at higher-order knowledge. In an “Appendix”, it is indicated that the logic of degrees of outright belief is closely linked to ranking theory. (shrink)

In spite of successful tests, the standard cosmological model, the $$\varLambda$$ CDM model, possesses the most problematic concept: the initial singularity, also known as the big bang. In this paper—by adopting the Kantian difference between to think of an object and to cognize an object—it is proposed a degree of scientificity using fuzzy sets. Thus, the notion of initial singularity will not be conceived of as a scientific issue because it does not belong to the fuzzy set of what is (...) known. Indeed, the problematic concept of singularity is some sort of what Kant called the noumenon, but science, on the other hand, is constructed in the phenomenon. By applying the fuzzy degree of scientificity in cosmological models, one concludes that cosmologies with a contraction phase before the current expansion phase are potentially more scientific than the standard model. At the end of this article, it is shown that Kant’s first antinomy of pure reason indicates a limit to our cosmological models. (shrink)

the rise of analytic philosophy early in the 20th century, specifically, with Russell's 1905 article "On Denoting", for in 1904 and earlier years he and G.E. Moore held a sort of Meinongian theory of degrees of existence (subsistence and existence are distinguished, with existence being a higher..

ABSTRACT Against the maximizing conception of practical rationality, Michael Slote has argued that rationality does not always require choosing what is most rational. Instead, it can sometimes be rational to do something that is less-than-fully rational. In this paper, I will argue that maximizers have a ready response to Slote’s position. Roy Sorensen has argued that ‘rational’ is an absolute term, suggesting that it is not possible to be rational without being completely rational. Sorensen’s view is confirmed by the (...) fact that, by the lights of contemporary linguistics, ‘rational’ is an absolute gradable adjective. Because ‘rational’ is an absolute gradable adjective, being rational requires being at the top of the scale of rationality, making anyone who is not fully rational positively irrational. Contra Slote, the only way to be rational enough is to be maximally rational. (shrink)

A framework of degrees of belief, or credences, is often advocated to model our uncertainty about how things are or will turn out. It has also been employed in relation to the kind of uncertainty or indefiniteness that arises due to vagueness, such as when we consider “a is F” in a case where a is borderline F. How should we understand degrees of belief when we take into account both these phenomena? Can the right kind of theory (...) of the semantics of vagueness help us answer this? Nicholas J.J. Smith defends a unified account, according to which “degree of belief is expected truth-value”; this builds on his Degree Theory of vagueness that offers an account of the semantics and logic of vagueness in terms of degrees of truth. I argue that his account fails. Degree theories of vagueness do not help us understand degrees of belief and, I argue, we shouldn’t expect a theory of vagueness to yield a detailed uniform story about this. The route from the semantics to psychological states needn’t be straightforward or uniform even before we attempt to combine vagueness with probabilistic uncertainty. (shrink)

The lecture starts by considering analytic philosophy as a tradition, and its global spread over recent years, of which Disputatio’s success is itself evidence. The costs and benefits of the role of English as the international language of analytic philosophy are briefly assessed. The spread of analytic philosophy is welcomed as the best hope for scientific philosophy, in a sense of ‘science’ on which mathematics, history, and philosophy can all count as sciences, though not as natural sciences. Arguably, experimental philosophy (...) provides no plausible alternative methodology for philosophy, only a way of psychologizing it. However, it serves a useful purpose by highlighting the inadequacy of current methods for detecting errors in judgments on possible cases, which may result from reliance on possibly universal but imperfectly reliable cognitive heuristics. The problem is exacerbated by analytic philosophers’ tendency to regard increased flexibility in a theoretical framework as progress, where natural scientists would treat it as methodologically vicious profligacy with degrees of freedom. The result is a familiar type of bad science, overfitting theory to uncritically accepted data. The recent ‘hyperintensional revolution’ may be an example of such overfitting, it is suggested. The lecture ends with a call for a more miserly attitude to degrees of freedom. (shrink)

Let W be a recursively enumerable vector space over a recursive ordered field. We show the Turing equivalence of the following sets: the set of all tuples of vectors in W which are linearly dependent; the set of all tuples of vectors in W whose convex closures contain the zero vector; and the set of all pairs of tuples in W such that the convex closure of X intersects the convex closure of Y. We also form the analogous sets consisting (...) of tuples with given numbers of elements, and prove similar results on the Turing equivalence of these. (shrink)

What is the relationship between degrees of belief and binary beliefs? Can the latter be expressed as a function of the former—a so-called “belief-binarization rule”—without running into difficulties such as the lottery paradox? We show that this problem can be usefully analyzed from the perspective of judgment-aggregation theory. Although some formal similarities between belief binarization and judgment aggregation have been noted before, the connection between the two problems has not yet been studied in full generality. In this paper, we (...) seek to fill this gap. The paper is organized around a baseline impossibility theorem, which we use to map out the space of possible solutions to the belief-binarization problem. Our theorem shows that, except in limiting cases, there exists no belief-binarization rule satisfying four initially plausible desiderata. Surprisingly, this result is a direct corollary of the judgment-aggregation variant of Arrow’s classic impossibility theorem in social choice theory. (shrink)

_Distinguer pour unir, ou Les degrés du savoir_ was first published in 1932 by Jacques Maritain. In this new translation of _The Degrees of Knowledge_, Ralph McInerny attempts a more careful expression of Maritain's original masterpiece than previous translations. Maritain proposes a hierarchy of the forms of knowledge by discussing the degrees of rational and suprarational understanding. Nine appendices, some longer than the chapters of the book, advance Maritain's thought, often by taking on criticism of earlier editions of (...) the work. Rightly called Maritain's cardinal work, _The Degrees of Knowledge_ is a magnificent and sagacious achievement. Jacques Maritain's masterpiece proposes a hierarchy of forms of knowledge that culminate in mystical experience and wisdom, which is a gift of the Holy Ghost. Maritain argues that the intellectual life is meant to be complemented by the spiritual life and should culminate in sanctity. (shrink)

Let be an infinite computable structure, and let R be an additional computable relation on its domain A. The syntactic notion of formal hypersimplicity of R on , first introduced and studied by Hird, is analogous to the computability-theoretic notion of hypersimplicity of R on A, given the definability of certain effective sequences of relations on A. Assuming that R is formally hypersimple on , we give general sufficient conditions for the existence of a computable isomorphic copy of on whose (...) domain the image of R is hypersimple and of arbitrary nonzero computably enumerable Turing degree. (shrink)

Human interaction has two principle functions: building and maintaining relationships with others and exchanging information. The function of building and maintaining relationships with others relates to interpersonal coordination; this behavior pattern is expected to predict the outcome of social relationships, such as between therapists and patients. It is unclear, however, whether the exchange of information is associated with interpersonal coordination. In the present study, we tested a hypothesis of whether body movement synchrony occurs in a natural conversation and whether this (...) synchrony has a positive correlation with the degree of information exchange. Fifty participants were engaged in a conversation task; each had different roles in the conversation. We measured their body movements during this conversation using an optical motion capture system. Similar to methods that can be found in previous research, we calculated body movements and quantified their synchrony applying the methods previously reported that automatically quantified their body movements. Moreover, we determined the participants’ degree of information exchange concerning the conversation using a questionnaire. We observed that the body movement synchrony of pairs who talked with each other was significantly higher than that of pairs who did not talk with each other, and that this synchrony was positively associated with the degree of information exchange. These results suggest that body movement synchrony predicted information exchange. (shrink)

While some form of loss of control is often assumed to be a common feature of the diverse manifestations of addiction, it is far from clear how loss of control should be understood. In this paper, I put forward a concept of decrease in control in addiction that aims to fill this gap and thus provide a general framework for thinking about addictive behavior. The development of this account involves two main steps. First, I present a view of degrees (...) of control as the degree to which an agent would be responsive to potential or counterfactual sufficient reasons to do otherwise. Second, I sketch an account of the relevant control-undermining factors in addiction that is consonant with my proposed view of degrees of control. Being a high-level functional property, reasons-responsiveness is particularly well suited to frame an account of control-undermining factors that is doubly pluralistic: it encompasses the contribution of factors both internal and external to the agent, and it is consistent with various proposals as to the precise nature of the anomaly taking place in the psychology of addiction. (shrink)

ObjectivesTo simulate hemodynamic changes after extraluminal compression in pulsatile tinnitus patients with a prominent transverse-sigmoid sinus junction.MethodsOne patient-specific case was reconstructed based on computed tomography venography images of a PT patient. The compression degree served as a new index in this study. Cases with 10, 20, 30, 40, 50, 60, 70, 80, and 90% of the compression degree of the control subject were constructed. Steady-state computational fluid dynamics were assessed. The wall pressure distribution, wall maximum pressure and flow pattern of (...) the PTSJ were calculated to evaluate hemodynamic differences among all cases.ResultsWith increasing compression, the wall pressure at the compression point and downstream of the PTSJ decreased but increased upstream. When the compression degree exceeded 70%, the upstream pressure increased significantly. Above 50% compression, the blood flow pattern downstream of the sigmoid sinus tended to spiral, especially after 80% compression. Beyond 60% compression, the blood flow pattern under the compression axis became more medial.ConclusionMechanical compression of PTSJ changes wall pressure and blood flow patterns. The degree of compression should be carefully observed to avoid possible complications or reoccurrence. (shrink)

In VAGUENESS AND DEGREES OF TRUTH, Nicholas Smith develops a new theory of vagueness: fuzzy plurivaluationism. -/- A predicate is said to be VAGUE if there is no sharply defined boundary between the things to which it applies and the things to which it does not apply. For example, 'heavy' is vague in a way that 'weighs over 20 kilograms' is not. A great many predicates -- both in everyday talk, and in a wide array of theoretical vocabularies, from (...) law to psychology to engineering -- are vague. -/- Smith argues, based on a detailed account of the defining features of vagueness, that an accurate theory of vagueness must involve the idea that truth comes in degrees. The core idea of degrees of truth is that while some sentences are true and some are false, others possess intermediate truth values: they are truer than the false sentences, but not as true as the true ones. Degree-theoretic treatments of vagueness have been proposed in the past, but all have encountered significant objections. In light of these, Smith develops a new type of degree theory. Its innovations include a definition of logical consequence that allows the derivation of a classical consequence relation from the degree-theoretic semantics, a unified account of degrees of belief and their relationships with degrees of truth and subjective probabilities, and the incorporation of semantic indeterminacy -- the view that vague statements need not have unique meanings -- into the degree-theoretic framework. -/- As well as being essential reading for those working on vagueness, Smith's book provides an excellent entry-point for newcomers to the area -- both from elsewhere in philosophy, and from computer science, logic and engineering. It contains a thorough introduction to existing theories of vagueness and to the requisite logical background. (shrink)

Agents are often assumed to have degrees of belief (“credences”) and also binary beliefs (“beliefs simpliciter”). How are these related to each other? A much-discussed answer asserts that it is rational to believe a proposition if and only if one has a high enough degree of belief in it. But this answer runs into the “lottery paradox”: the set of believed propositions may violate the key rationality conditions of consistency and deductive closure. In earlier work, we showed that this (...) problem generalizes: there exists no local function from degrees of belief to binary beliefs that satisfies some minimal conditions of rationality and non-triviality. “Locality” means that the binary belief in each proposition depends only on the degree of belief in that proposition, not on the degrees of belief in others. One might think that the impossibility can be avoided by dropping the assumption that binary beliefs are a function of degrees of belief. We prove that, even if we drop the “functionality” restriction, there still exists no local relation between degrees of belief and binary beliefs that satisfies some minimal conditions. Thus functionality is not the source of the impossibility; its source is the condition of locality. If there is any non-trivial relation between degrees of belief and binary beliefs at all, it must be a “holistic” one. We explore several concrete forms this “holistic” relation could take. (shrink)

How are attention and consciousness related? Can we learn what the contents of someone’s consciousness are if we know the targets of their attention? What can we learn about the contents of consciousness if we know the targets of attention? Although introspection might suggest that attention and consciousness are intimately connected, a good body of recent findings in cognitive psychology and cognitive neuroscience brings compelling reasons to believe that they are two separate and independent processes. This paper attempts to bring (...) attention and consciousness back together to make the study of attentional distributions an essential ingredient for the study of the contents of consciousness. My proposal has two main components. First, I introduce a framework for systematizing the relations between attention in its different forms and consciousness in its different forms. Although philosophers and cognitive scientists have repeatedly highlighted the importance of such systematization, most details are still to be worked out. Here I take an initial stab at this project based on the notion of degrees of informational enhancement. Second, I introduce the notion of vicarious attention to account for a kind of additional processing benefit that comes for free when attention is allocated to a target. I then propose that this kind of processing must also be considered when mapping attention targets into contents of consciousness. (shrink)

In discussing fundamentals of general-relativistic irreversible continuum thermodynamics, this theory is shown to be characterized by the feature that no thermodynamical degrees of freedom are ascribed to gravitation. However, accepting that black hole thermodynamics seems to oppose this harmlessness of gravitation one is called on to consider other approaches. Therefore, in brief some gravitational and thermodynamical alternatives are reviewed.

It has been argued that Kants actions. However, it would be uncompromising to allow for only two possibilities: either full responsibility or none. Moreover, in the Metaphysics of Morals Kant himself claims that there can be degrees of responsibility, depending on the magnitude of the obstacles that have to be overcome when acting. I will show that this claim is consistent with Kant’s theory as a whole and thereby make transparent how degrees of responsibility are possible for Kant. (...) The solution is based on the distinction between two senses of responsibility: taking oneself to be an accountable person is an all-or-nothing affair, whereas praise- or blameworthiness for a particular action can still be a matter of degree. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:September 24, 2010 (10:17 pm) C:\Users\Milt\Desktop\backup copy of Ken's G\WPData\TYPE3001\russell 30,1 032 red corrected.wpd 1 Just what exactly “separated by degree” means is a bone of contention among those playing the game. But it seems to me that if you have actually met a person Xz, then you have knowledge by acquaintance of X, whereas if you meet someone who met Xz you are separated from Xz by one (...) degree. Thus, I never met the jazz great Sun Ra, but my friend Warren Allen Smith (former head of a recording studio) worked with him on several of his albums, so I am one degree of separation from Sun Ra. russell: the Journal of Bertrand Russell Studies n.s. 30 (summer 2010): 63–7 The Bertrand Russell Research Centre, McMaster U. issn 0036-01631 eu d’sprit “SIX DEGREES OF BERTRAND RUSSELL” Timothy J. Madigan Philosophy / St. John Fisher College Rochester, ny 14618, usa [email protected] One of the most quoted phrases in current popular culture is “six degrees of separation”. It expresses the idea that any human being is connected with any other human being by a chain of at most six acquaintances.1 While there is much debate as to whether this is literally true, it is an interesting thoughtexperiment, as well as the basis for many fun parlour games. One of these is entitled “Six Degrees of Kevin Bacon”, in which Wlm fans try to connect the aforementioned actor with any other movie star in as few links as possible. I have been thinking of launching a similar parlour game called “Six Degrees of Bertrand Russell”, in which any Wgure from the past 200 years or so could be connected with Bertie in as few steps as possible. Why Bertie rather than, say, Ludwig Wittgenstein (who after all had a stated interest in games)? For two reasons: Wrst, Russell lived to the ripe old age of 97, and thus had the time to interact with a wide variety of people; and secondly he was for most of that long life a celebrity, who rubbed elbows with all manner of individuals, many of whom were either celebrities themselves at the time or came to be celebrated later. As is often pointed out, Russell’s list of acquaintances stretched from Lenin (V.yI.) to Lennon (zJohn), from the Bloomsbury Group to the Doomsday Prophets, from William Gladstone to Harold Wilson. Russell’s grandfather, LordJohn Russell, had as a young man visited Napoleon on the island of Elba and shaken his hand. When I shake the hand of Honorary Russell Archivist Ken Blackwell, September 24, 2010 (10:17 pm) C:\Users\Milt\Desktop\backup copy of Ken's G\WPData\TYPE3001\russell 30,1 032 red corrected.wpd 64 timothy j. madigan 2 Other historical writings by Russell are discussed in Kenneth R. Stunkel, “Bertrand Russell’s Writings and ReXections on History”, Russellz 21 (2001): 129–53. who met Bertie, I often think that I am only three degrees of separation from shaking Napoleon’s hand as well. And as for Napoleonz—zwell, who knows where that hand had been? Given this strong connection to history, it is not surprising that Russell himself would write an essay entitled “How to Read and Understand History”.2 In his Autobiographyz and other works such as Portraits from Memory, Russell made it quite clear that his aristocratic and privileged background gave him access to many of the most important movers and shakers in twentieth-century politics, literature, and academia, areas in which he himself excelled. He was aware that, unlike many of his fellow philosophers, who were known only to a small coterie of fellow deep thinkers, he was an historic Wgure, one who could interact on a personal level with cabinet ministers, Nobel prize-winners in all Welds, press lords, movie stars, presidents and premiers. During the Cuban Missile Crisis, for instance, many concerned individuals tried to reach Kennedy and Khrushchev to give them advice, but Russell was one of the few outsiders whose letters actually got through, as he no doubt knew they would. For all of his concern with... (shrink)

It is known that every non-universal self-full degree in the structure of the degrees of computably enumerable equivalence relations (ceers) under computable reducibility has exactly one strong minimal cover. This leaves little room for embedding wide partial orders as initial segments using self-full degrees. We show that considerably more can be done by staying entirely inside the collection of non-self-full degrees. We show that the poset can be embedded as an initial segment of the degrees of (...) ceers with infinitely many classes. A further refinement of the proof shows that one can also embed the free distributive lattice generated by the lower semilattice as an initial segment of the degrees of ceers with infinitely many classes. (shrink)

In his latest book Mechanical Choices, Michael Moore provides an explication and defence of the idea that responsibility comes in degrees. His account takes as its point of departure the view that free action and free will consist in the holding of certain counterfactuals. In this paper, I argue that Moore’s view faces several familiar counterexamples, all of which serve to motivate Harry Frankfurt’s classic insight that whether and to what extent one is responsible for one’s action has more (...) to do with what actually caused that action than with what one could or couldn’t have done instead. I then go on to sketch an alternative approach to degrees of responsibility that takes seriously this insight. I’ll argue that Moore ought to be sympathetic to this approach, inasmuch as it combines two familiar Moorean ideas: the idea that causal contribution comes in degrees, and the idea that acting freely is compatible with, and indeed entails, the fact that one’s action was caused by prior states of affairs. (shrink)

A study of the structural perfection of icosahedral quasicrystalline grains of various alloys and Al-Cu-Fe), grown by different slow solidification techniques was performed using high-resolution diffraction, including recording rocking curves combined with X-ray topography and phase contrast radiography, at a third-generation synchrotron radiation source . For Al-Pd-Mn, additional coherent diffraction and diffuse scattering measurements were also carried out. After evaluating the potentialities of the techniques used, in the light of the criteria defined for crystals, it is shown that the structural (...) perfection of icosahedral quasicrystals is quite comparable with that of metallic crystals but is considerably influenced by either uniform phason strains which can destroy the quasiperiodic long-range order, or by long-wavelength phason fluctuations leading to diffuse scattering. The structural perfection was also found to be extremely variable across the as-grown quasicrystalline grains and to be dependent on the presence and characteristics of inhomogeneities often included in the quasicrystalline matrix. Regarding the grains that we used, it has been impossible to distinguish a clear influence of either the type of alloy or the growth method. It has, however, been noticed that Al-Pd-Mn and Al-Cu-Fe grains appeared less defective than Zn-Mg-RE grains and that the microstructure of these latter grains looks like that of crystals grown by the same technique. Annealing and mechanical polishing effects have also been analysed in the case of Al-Pd-Mn grains. It appeared that annealing improves the quasicrystalline lattice perfection by lowering phason strains insofar as no precipitates are nucleated. Mechanical polishing can introduce defects, located at the external surfaces, having the shape of bands. (shrink)