Hume: Belief

When we see the way that the parts of the Appendix concerning belief hang together, we can understand how and why Hume moved from saying that belief is a vivid idea to saying that belief is a sui generis feeling. In the Appendix to the Treatise, Hume retracts his claim that perceptions with the same object only vary with respect to vivacity. In material in the appendix that he tells his reader to insert in Book 1, he explains his reasons: (...) the vivacity connected to belief is different in kind from that from the vivacity connected to poetry. Poetry can be more vivid, in its way, than belief. Since Hume’s main arguments for the thesis that beliefs are vivid ideas in the main body of the Treatise depend on the assumption that ideas with the same object only vary in vivacity, he owes us new arguments from his claim. He provides various arguments for a slightly revised thesis that belief is a particular sort of vivid idea at the beginning of the Appendix. (shrink)

In her book Experience Embodied, Anik Waldow challenges and reimagines the traditional interpretative approach to the concept of experience in the early modern period. Traditionally, commentators have emphasized early moderns' views on the first-person perspective and eschewed the relevance of our embodiment to their epistemological outlooks. My focus here is on Waldow's chapter on Hume, wherein she analyzes Hume's account of our capacity for reflective moral judgment, arguing that he understands it as natural despite the countless ways in which our (...) embodied social experiences impinge on it. After detailing Waldow's contributions, I clarify, corroborate, and criticize them. Since I contend that Waldow is broadly successful in her interpretative efforts, I suggest that she undermines the traditional interpretative approach to experience in the early modern period, but not in the sense that she moves us away from the epistemological towards other lenses. Rather, Waldow should be understood as showing that, at least in the case of Hume's metaethics, the epistemological is embodied, is social, and is both cognitive and sentimental. (shrink)

Nathan Sasser's ‘purely practical reading of Hume’s response to skepticism’ is so natural and compelling that it is almost surprising that his new monograph, Hume and the Demands of Philosophy, offers its first systematic defence. I praise the book's clarity and concision, and then raise concerns about omitted topics, especially concerning Hume's views on the practical value of sceptical philosophy.

Hume describes skeptical philosophy as having a variety of desirable effects. It can counteract dogmatism, produce just reasoning, and promote social cohesion. When discussing how skepticism may achieve these effects, Hume typically appeals to its effects on pride. I explain how, for Hume, skeptical philosophy acts on pride and how acting on pride produces the desirable effects. Understanding these mechanisms, I argue, sheds light on how, why, when, and for whom skeptical philosophy can be useful. It also illuminates the value (...) of skeptical philosophy for a humanistic education, giving us a reason to include Hume in curricula. (shrink)

Response to Don Baxter, Don Garrett and Jennifer Marusic regarding my book Imagined Causes: Hume's Conception of Objects; initially delivered at the 2016 Hume Conference in Sydney, Australia as part of the Author Meets Critics session.

Peter Fosl's new monograph offers a bold reading of Hume as a "radical," "coherent," and "hybrid" skeptic, who draws influence from both the Pyrrhonian and Academic skeptical traditions. I press some concerns about whether Fosl's reading of Hume can accommodate his scientific ambitions.

Hume is an experimental philosopher who attempts to understand why we think, feel, and act as we do. But how should we evaluate the adequacy of his proposals? This chapter examines Hume’s account from the perspective of interdisciplinary work in cognitive science.

The goal of this paper is show how an initially appealing objection to David Hume's account of judgment can only be put forward by philosophers who accept an account of judgment that has its own sizable share of problems. To demonstrate this, I situate the views of John Locke, David Hume, and Thomas Reid with respect to each other, so as to illustrate how the appealing objection is linked to unappealing features of Locke's account of judgment.

In his Treatise of Human Nature, Hume defines a belief as "a lively idea related to or associated with a present impression".1 He offers variations on this definition throughout the work, writing, for instance, that "belief is a more vivid and intense conception of an idea, proceeding from its relation to a present impression" and that his "general position" is "that an opinion or belief is nothing but a strong and lively idea deriv'd from a present impression related to it". (...) Lest his readers misunderstand, Hume endeavours to clarify these notions of "vivacity" and "liveliness" by appealing to a cluster of other notions, such... (shrink)

Reid’s dilemma concludes that, whether the idea associated with a denied proposition is lively or faint, Hume is committed to saying that it is either believed or merely conceived. In neither case would there be denial. If so, then Hume cannot give an adequate account of denial. I consider and reject Powell’s suggestion that Hume could have advanced a “Content Contrary” account of denial that avoids Reid’s dilemma. However, not only would a Humean Content Contrary account be viciously circular, textual (...) evidence suggests that Hume did not hold such an account. I then argue that Govier’s distinction between force and vivacity cannot help Hume. Not only did Hume fail to recognize this distinction, we can advance a variant of Reid’s dilemma even if we distinguish force from vivacity. (shrink)

In this paper, I examine three mutually inconsistent claims that are commonly attributed to Hume: all beliefs are involuntary; some beliefs are subject to normative appraisal; and that ‘Ought implies Can’. I examine the textual support for such ascription, and the options for dealing with the puzzle posed by their inconsistency. In what follows I will put forward some evidence that Hume maintains each of the three positions outlined above. I then examine what I call the ‘prior voluntary action’ solution. (...) I argue that this position in any form fails to account for synchronic rationality. I then raise more specific objections depending on how we disambiguate the position, which can be read as either granting beliefs derivative voluntariness, or as denying their normative significance; the former version is inconsistent with Hume’s treatment of natural abilities, while the latter falls to a regress given Hume’s thesis regarding the inability of actions and passions to be subject to epistemic normativity. I then propose to reject instead for two reasons: first, the weakness of textual support for such an ascription; secondly, Hume’s explicit recognition of the irrelevance of involuntariness to normative evaluation in the moral case. (shrink)

There is a tradition perhaps as old as philosophy itself which sees the rationality of man – and in particular, the rationality of the philosopher - as both his essential and his redeeming characteristic; it can not unfairly be said that the discipline of philosophy at least is characterised by its dependence on reason. In this context, the philosophy of David Hume presents something of a stark challenge: Although interpretations vary as to the extent and nature of his scepticism, one (...) of the themes of his work is the limits and imperfections of human reason and the sceptical concerns this engenders. On Hume's system, reason is not the overlord of the imagination but at least in part subordinate to it, and can discover little or nothing without recourse to experience. -/- My aim here is to pinpoint the true nature of Hume's scepticism regarding reason, drawing chiefly on the Treatise but also to a lesser extent the Enquiry. After a brief overview of his project in the Treatise in section 1, I go on to give an account of Hume's conception of reason or the understanding, and the epistemological distinction between demonstrative and probable reasoning, in section 2. In section 3 I examine Hume's famous argument concerning induction, arguing that to read Hume as a sceptic regarding inference is a mistake and that to say induction is grounded in principles of the imagination is not to say that it is therefore irrational. In section 4 I examine the argument of Treatise 1.4.1, 'Of scepticism with regard to reason', and in section 5 the 'dangerous dilemma' to which it leads Hume in 1.4.7, arguing that whilst his treatment of the issues it raises is somewhat unsatisfactory in this section of the Treatise a better solution can be fashioned by appealing to a distinction between the general and the trivial properties of the imagination drawn elsewhere in both the Treatise and the Enquiry. Then in section 6 I conclude by offering my own attempt at characterising the extent of Hume's scepticism regarding reason, arguing that his “mitigated” scepticism is a scepticism about knowledge but not about belief, and that its chief aim is to ensure that we philosophise only on those subjects which are suitable for enquiry given the limits and frailties of our faculties; the “reflections of common life, methodized and corrected” (Enquiry 12.25, p.208) rather than “divinity” or “school metaphysics” (Enquiry 12.34, p.211). (shrink)

This chapter overviews Hume’s thoughts on the nature and role of imagining and focusses primarily on three important distinctions that Hume draws among our conscious mental episodes: (i) between impressions and ideas; (ii) between ideas of the memory and ideas of the imagination; and (iii), among the ideas of the imagination, between ideas of the judgement and ideas of the fancy. In addition, the chapter considers Hume’s views on the imagination as a faculty of producing ideas, as well as on (...) the part that imagining plays in the acquisition of modal knowledge and in the comprehension of, and resistance to, false or fictional opinions. (shrink)

Kant’s Inferentialism draws on a wide range of sources to present a reading of Kant’s theory of mental representation as a direct response to the challenges issued by Hume in A Treatise of Human Nature. Kant rejects the conclusions that Hume draws on the grounds that these are predicated on Hume’s theory of mental representation, which Kant refutes by presenting objections to Hume’s treatment of representations of complex states of affairs and the nature of judgment. In its place, Kant combines (...) an account of concepts as rules of inference with a detailed account of perception and of the self as the locus of conceptual norms to form a complete theory of human experience as an essentially rule-governed enterprise aimed at producing a representation of the world as a system of objects necessarily connected to one another via causal laws. This interpretation of the historical dialectic enriches our understanding of both Hume and Kant and brings to bear Kant’s insights into mental representation on contemporary debates in philosophy of mind. Kant’s version of inferentialism is both resistant to objections to contemporary accounts that cast these as forms of linguistic idealism, and serves as a remedy to misplaced Humean scientism about representation. (shrink)

In this book, Schmitt claims that Hume, however implicitly, employs a fully-developed epistemology in the Treatise. In particular, Hume employs a “veritistic” epistemology, i.e. one that is grounded in truth, particularly, true beliefs. In some cases, these true beliefs are “certain,” are “infallible” (78) and are justified, as in the case of knowledge, i.e. demonstrations. In other cases, we acquire these beliefs through a reliable method, i.e. when they are produced by causal proofs. Such beliefs are also “certain” (69, 81) (...) and are (defeasibly) justified. Thus, although demonstrative knowledge and beliefs produced by causal proofs are produced by different psychological processes, and so, admit of specific kinds of “certainty,” they are nevertheless, both certain, and so, they share the same “epistemic status” (68-69). As a result, although it is clear that Hume makes a psychological distinction between demonstrations and causally produced beliefs (proofs) it may be argued that Hume does not make an epistemological distinction between knowledge (demonstrations) and causally produced beliefs (proofs). Thus, in regard to epistemic status, the latter are not necessarily inferior to the former. This has larger implications for Hume’s method; if we can say that he employs a method that invokes knowledge, or at least, beliefs that share the same epistemic status as knowledge, then Hume need not be entirely skeptical about the results of his method. Rather, the possession of true belief is Hume's ultimate goal. (380). (shrink)

In philosophical literature the issue of beliefs has been identified historically with David Hume and common sense. Beliefs are dynamic systems and its resignification is constant. Charles Sanders Pierce would interpret the fixation of beliefs, as those ones which are fixed by means of art, being this a method well-tuned with science. Truths established in beliefs are always probable and dependent on the degree of utility they have. The degree of utility is complemented with comprehension, explanations have multiple causes. En (...) la literatura filosófica el tema de las creencias se puede identificar históricamente con David Hume y el sentido común. Las creencias son sistemas dinámicos y su resignificación es constante. Charles Sanders Peirce interpretaría la fijación de las creencias en Hume, como aquella que se fija a través del arte, siendo ésta un método que se acomoda bien con el de la ciencia. Las verdades establecidas en las creencias son siempre probables y dependen del grado de utilidad que ellas presten. El grado de utilidad se complementa con la comprensión, las explicaciones son multicausales. (shrink)

David Hume fancied himself the Newton of the mind, aiming to reinvent the study of human mental life in the same way that Newton had revolutionized physics. And it was his view that the novel account of belief he proposed in his Treatise of Human Nature was one of that work’s central philosophical contributions. From the earliest responses to the Treatise forward, however, there was deep pessimism about the prospects for his account. It is easy to understand the source of (...) this pessimism: The constraints he employed in theorizing stem from his Newtonian ambitions. Constraints such as his copy principle and his decision to rely only on variations in “force and vivacity” for differentiating types of mental states severely limit his available explanatory resources. However, it is one thing to regard an account as untenable, and quite another to understand where it fails. In this paper, I focus on one long-standing objection to Hume’s account — the objection that Hume cannot offer an account of negative belief or denial — as presented by Hume’s contemporary Thomas Reid, as well as more recently by Barry Stroud, and defend Hume from this objection. I argue that Hume both should and does endorse an account of negative belief based in relations of contrariety between contents, rather than between mental activities, and survey the different options available to Hume for spelling out an account of contrary contents. (shrink)

In this Part II, I investigate different approaches to the question of what makes imagining different from belief. I find that the sentiment-based approach of David Hume falls short, as does the teleological approach, once advocated by David Velleman. I then consider whether the inferential properties of beliefs and imaginings may differ. Beliefs, I claim, exhibit an anti-symmetric inferential governance over imaginings: they are the background that makes inference from one imagining to the other possible; the reverse is not true, (...) and this allows us to distinguish the two attitudes. I then go on to consider the action theory of imagining and the role that imaginings play in generating emotion. (shrink)

What is the source of normativity in Hume’s account of causal reasoning? In virtue of what are causal beliefs justified for Hume? To answer these questions, the literature appeals, almost invariably, to custom or some feature thereof. I argue, in contrast, that causal beliefs are justified for Hume because they issue from experience. Although he denies experience the title of justifying reason, for Hume experience has normative authority. I offer an interpretation of the source and nature of the normativity of (...) experience in causal reasoning. I argue that the senses and memory have a special, positive status within the mind in virtue of their force and vivacity, which, on my reading, Hume identifies with a sense of presentness and a strong effect on the mind. Hume dignifies the system of memory and the senses with the title of reality because of these features. Causal beliefs are dignified as “realities” because they issue from reality. However, because the imagination can sometimes enhance the force and vivacity of ideas without the help of experience, Hume appeals to coherence and general rules as well. (shrink)

This article shows that in 1.4.2.15-24 of the Treatise of Human Nature, Hume presents his own position on objects, which is to be distinguished from both the vulgar and philosophical conception of objects. Here, Hume argues that objects that are effectively imagined to have a “perfect identity” are imagined due to the constancy and coherence of our perceptions (what we may call ‘level 1 constancy and coherence’). In particular, we imagine that objects cause such perceptions, via what I call ‘indirect (...) causation.’ In virtue of imagining ideas of objects that have a perfect identity, our perceptions seem to be even more constant and coherent (what we may call ‘level 2 constancy and coherence’). Thus, in addition to seeing that Hume is presenting his own position on objects in this section of the Treatise, we see that he is working with a previously unrecognized kind of causation, i.e., indirect causation, and that he has two kinds of constancy and coherence in mind: level 1 and level 2. (shrink)

Vivacity, the “liveliness” of perceptions, is central to Hume’s epistemology. Hume equated belief with vivid ideas. Vivacity is a conscious quality so believable ideas are felt to be lively. Hume’s empiricism revolves around a phenomenological, inner epistemology. Through copying, Hume bases vivacity in impressions. Sensory vivacity also concerns liveliness or patterns of change. Through learnt skillful use, it tracks change specific to intentional sense-perceptual experience, Hume’s “coherent and constant” complex impressions. Copying, in turn, communicates the conscious skill of vivacity to (...) ideas where it becomes an indicator of believable ideas. Hume’s copying concerns then the causation of conscious skills required for the identification of empirically warranted structures. Copying allows Hume to combine a radically externalist empiricism with a portable phenomenological inner epistemology. (shrink)

This paper aims to clarify the program of Deleuze’s work on Hume’s philosophy. Also, I plan to make clear the operational meaning of Deleuze’s own hallmark regarding his approaches to philosophy. I start to follow Deleuze’s plot by engendering three functions of his interpretation of Hume’s Treatise that will be the area of three thematic chapters. The first tries to sort the polemical function of empiricism that is launched through Deleuze’s Hume; the second attempts to figure the domain of subjectivity (...) as the inventive function of the book; the third searches the creative function by describing the role of the institutional theory. (shrink)

The aim of the paper is to reassess Hume's handling of scepticism in its Pyrrhonian form. I argue that, contrary to what Hume declares, his own philosophy comes close to what Sextus Empiricus sets out as the essential moments of the Pyrrhonian , at least in one crucial respect: I contend that Hume's conception of belief is in line with precisely the type of doxastic state which Sextus ascribes to the Pyrrhonian sceptic as appropriate for ‘following appearances’. Then I show (...) that if such an affinity is established, Hume's attack against Pyrrhonism, launched in Enquiry XII, Part 2, is rendered toothless. (shrink)

Given Hume’s theory of belief and belief production it is no small task to explain how it is possible for a belief in a miracle to be produced. I argue that belief in a miracle cannot be produced through Hume’s standard causal mechanisms and that although education, passion, and testimony initially seem to be promising mechanisms for producing belief in a miracle, none of these is able to produce the belief in amiracle. I conclude by explaining how this poses a (...) problem for Hume’s theory of belief and I briefly investigate the alternatives available for solving this problem. (shrink)

Meu objetivo neste artigo é destacar algumas das ideias centrais defendidas por Hume e, a fim de caracterizar a natureza de sua filosofia, contrapor duas interpretações frequentes de sua obra: a interpretação cética e interpretação naturalista. A fim de apontar as principais razões que estão por trás dessas duas interpretações que tentam apreender a natureza da filosofia de Hume, procuro abordar inicialmente alguns dos princípios centrais da teoria humeana e, em seguida, especialmente sua análise das inferências causais. No final, argumento (...) que o ceticismo e o naturalismo de Hume não são incompatíveis. Ao contrário, devem ser entendidos como duas faces de uma mesma filosofia. (shrink)

This article has as main objective, to present the problems on Hume’s version about believes and its interpretation. This has been of great importance not only on Humean philosophy, but also in the subsequent philosophical thinking due to the fact that his proposal is about the impossibility of reasoning on the matters of facts. Hence, the belief would supply the emptiness of reasoning, and it would fundament and be the motor of our actions in the absence of reasoning. The main (...) objective is to show belief not as a lived idea, as Hume presents it, but as a propositional attitude that moves us towards action. Therefore, belief can be understood as two different but closely related ways: as a propositional fact (we accept what we believe as true) and as a disposition to act. (shrink)

This volume will thus appeal to advanced students and scholars not just in the history of early modern philosophy but in epistemology and other core areas of ...

Philosophical theories about the nature of belief can be roughly classified into two groups: those that treat beliefs as occurrent mental states or episodes and those that treat beliefs as dispositions. David Hume's A Treatise of Human Nature seems to contain a classic example of an occurrence theory of belief as he defines 'belief' as 'a lively idea related to or associated with a present impression' (Treatise 1.3.7.5 96). This definition suggests that believing is an occurrent mental state, such as (...) judging, or thinking about something in a particular manner. However, a number of Hume's readers claim to find elements in his writings that are suggestive of a dispositional account of belief. Moreover, these elements are sometimes taken as signs of the inadequacy of Hume's account of belief and his dissatisfaction with it. This paper argues that Hume does hold an occurrence theory of belief, that he has deep-seated reasons for doing so, and that this theory of belief has greater explanatory power than its critics generally allow. I contend in particular that beliefs play an explanatory role in Hume's Science of Man that could not be played by dispositions, but requires that beliefs be introspectible occurrent mental states. Attention to the role of belief in explaining our actions, thoughts, emotional responses, and reasoning reveals that Hume is committed to treating beliefs as occurrent states. (shrink)

In this essay I endeavour to discern a possible foundation for Hume's underlying assumption that human minds are similar to each other. The aim of this is to provide a new approach towards A Treatise of Human Nature that links Books II and III with Hume's epistemological discussion in Book I by providing a detailed analysis of the structural parallels and differences between sympathy and causal reasoning. Against this background, the belief in other minds will turn out to pertain to (...) the class of natural beliefs which draw their legitimacy from Hume's attack on the metaphysical notion of reason. (shrink)

In part 1 of Enquiry 12, Hume presents a skeptical argument against belief in external existence. The argument involves a perceptual relativity argument that seems to conclude straightaway the double existence of objects and perceptions, where objects cause and resemble perceptions. In Treatise 1.4.2, Hume claimed that the belief in double existence arises from imaginative invention, not reasoning about perceptual relativity. I dissolve this tension by distinguishing the effects of natural instinct and showing that some ofthese effects supplement the Enquiry’s (...) perceptual relativity argument. The Enquiry’s skeptical argument thus reveals the fundamental involvement of natural instinct in any belief in external existence. (shrink)

This paper examines the role of the imagination in Hume's epistemology. Three specific powers of the imagination are identified – the imagistic, conceptual and productive – as well as three corresponding kinds of fictions based on the degree of belief contained in each class of ideas the imagination creates. These are generic fictions, real and mere fictions, and necessary fictions, respectively. Through these manifestations, it is emphasized, Hume presents the imagination both as the positive force behind human creativity and a (...) subversive presence that transforms experience while at once making it possible. (shrink)

The associationist interpretation of Hume's account of causal belief is criticized. The origin of this mistaken interpretation is explained. The difference between Hume's views in the Treatise of Human Nature and in An Enquiry concerning Human Understanding is examined.

Propongo una comparación entre David Hume y las formas antiguas del escepticismo. Un molde histórico adecuado para comprender el escepticismo de Hume es la filosofía escéptica académica. Un análisis histórico revela que, de hecho, se encuentran algunas semejanzas importantes entre Hume y Carneades. ..

This chapter contains section titled: Hume's Theory of Belief Normativity Notes References Further reading.

This paper considers the claim that Hume washostile to religion and religious belief, andhoped for their demise. Part one examines hisapproach to belief, showing how commentatorstake him to see religious belief asnon-natural. Part two challenges thisconclusion by arguing, first, that Hume'sdistinction between natural and artificialvirtue allows the term ``natural'' to coverreligious belief as well; second, that Humehimself never denies religious belief isnatural, and, third, that he takes religion tobe a necessary part of any flourishing society. The target of Hume's critical (...) remarks onreligion, it is then emphasized, are forms of``false'' religion, which arise from thecorrupting influence of passion, hypocrisy,bigotry, enthusiasm, and superstition. Atbest, it is concluded, the claim that Hume washostile to religion requires qualification,while the view that he was in favor of itsactual demise is largely unwarranted. (shrink)

The main thesis of the dissertation is that Hume resolves his central concern with the problem of reason by arguing for a pragmatic conception of that notion. After a discussion of Hume's argument to the effect that the traditional conception of reason leads to unmitigated scepticism, I turn to Hume's account of belief. Vivacity is the distinguishing mark of a belief. That notion has two aspects: an intrinsic felt quality, and a causal connection to action. The former is part of (...) the descriptive account of belief and the latter accounts for the normative distinctions among beliefs. A belief is rationally warranted, if it leads to beneficial consequences. Both the descriptive-explanatory and the normative-evaluative accounts of belief rest on Hume's conception of the imagination. In the last chapter, it is argued that Malebranche significantly influenced Hume's conception of the imagination. (shrink)

Hume's Problem comprises two main projects: defending Hume's argument about induction against a dozen or so purported answers, and laying out a logic of induction that incorporates Hume's great insight in a formal theory. In this review, I will look at several instances of Howson's defense of Hume; then I will sketch the broad outlines of Howson's own "answer," the details of which are myriad and sometimes technical.

Hume's account of belief has been much reviled, especially considered as an account of what it is to assent to or judge a proposition to be true. In fact, given that he thinks that thoughts about existence can be composed of a single idea, and that relations are just complex ideas, it might be wondered whether he has an account of judgment at all. Nonetheless, Hume was extremely proud of his account of belief, discussing it at length in the Abstract, (...) and developing it in the Appendix. Furthermore, he claimed several times that his account was new. It was not just a new answer to an old question, but an answer to a new question as well. Why did Hume think he was raising, and answering, a new question? Is his answer really so appalling? Why did he define belief in terms of a relationship with a present impression? In this paper, I propose answers to these questions. The answers emerge by contrasting Hume with Locke. Locke thought that belief was a pale imitation of knowledge, and that the assent we give to propositions is constituted in the very same act as forming those propositions. Hume saw the problems such a theory faced concerning existential beliefs. By ceasing to treat existence as a predicate, Hume was confronted with the issue of what it was to judge something to be true, or to assent to something. This issue had to be solved independently of the question of what it was to conceive something, or understand the content of a proposition. Hume thought this problem was new. He should be looked at, not as giving a bad answer to an important question, but rather as being the first in the early modern period to recognize that there was an important question here to be answered. (shrink)

In Book I, III §9 of the Treatise, Hume makes the claim that “[all general] belief arises only from causation” (T 107). Following, he makes the even stronger claim that all general beliefs are to be thought of as beliefs in reality, and thus, all belief in reality is dependent on pre-established beliefs in both specific causal relations and the causal relation in general (T 108). In the first part of this paper, I explain Hume’s motivation behind both claims, while (...) in the second part, I argue that to some extent, Hume is correct; our belief in “reality”—a notion to be defined—is fundamentally dependent on a pre-established belief in the general notion of cause and effect and a cache of specific causal relations. Thus, epistemologically speaking, we must conclude that our notion of “reality” is intrinsically causal (note that this reading has been corrected/augmented in Rocknak 2013). (shrink)