Coherentism maintains that coherent beliefs are more likely to be true than incoherent beliefs, and that coherent evidence provides more confirmation of a hypothesis when the evidence is made coherent by the explanation provided by that hypothesis. Although probabilistic models of credence ought to be well-suited to justifying such claims, negative results from Bayesian epistemology have suggested otherwise. In this essay we argue that the connection between coherence and confirmation should be understood as a relation mediated by the causal relationships (...) among the evidence and a hypothesis, and we offer a framework for doing so by fitting together probabilistic models of coherence, confirmation, and causation. We show that the causal structure among the evidence and hypothesis is sometimes enough to determine whether the coherence of the evidence boosts confirmation of the hypothesis, makes no difference to it, or even reduces it. We also show that, ceteris paribus, it is not the coherence of the evidence that boosts confirmation, but rather the ratio of the coherence of the evidence to the coherence of the evidence conditional on a hypothesis. (shrink)

Jim Joyce argues for two amendments to probabilism. The first is the doctrine that credences are rational, or not, in virtue of their accuracy or “closeness to the truth” (1998). The second is a shift from a numerically precise model of belief to an imprecise model represented by a set of probability functions (2010). We argue that both amendments cannot be satisfied simultaneously. To do so, we employ a (slightly-generalized) impossibility theorem of Seidenfeld, Schervish, and Kadane (2012), who show that (...) there is no strictly proper scoring rule for imprecise probabilities. -/- The question then is what should give way. Joyce, who is well aware of this no-go result, thinks that a quantifiability constraint on epistemic accuracy should be relaxed to accommodate imprecision. We argue instead that another Joycean assumption — called strict immodesty— should be rejected, and we prove a representation theorem that characterizes all “mildly” immodest measures of inaccuracy. (shrink)

The field of of imprecise probability has matured, in no small part because of Teddy Seidenfeld’s decades of original scholarship and essential contributions to building and sustaining the ISIPTA community. Although the basic idea behind imprecise probability is (at least) 150 years old, a mature mathematical theory has only taken full form in the last 30 years. Interest in imprecise probability during this period has also grown, but many of the ideas that the mature theory serves can be difficult to (...) apprehend to those new to the subject. Although these fundamental ideas are common knowledge in the ISIPTA community, they are expressed, when they are expressed at all, obliquely, over the course of years with students and colleagues. -/- A single essay cannot convey the store of common knowledge from any research community, let alone the ISIPTA community. But, this essay nevertheless is an attempt to guide those familiar with the basic Bayesian framework to appreciate some of the elegant and powerful ideas that underpin the contemporary theory of lower previsions, which is the theory that most people associate with the term ‘imprecise probabilities’. (shrink)

Dilation occurs when an interval probability estimate of some event E is properly included in the interval probability estimate of E conditional on every event F of some partition, which means that one’s initial estimate of E becomes less precise no matter how an experiment turns out. Critics maintain that dilation is a pathological feature of imprecise probability models, while others have thought the problem is with Bayesian updating. However, two points are often overlooked: (1) knowing that E is stochastically (...) independent of F (for all F in a partition of the underlying state space) is sufficient to avoid dilation, but (2) stochastic independence is not the only independence concept at play within imprecise probability models. In this paper we give a simple characterization of dilation formulated in terms of deviation from stochastic independence, propose a measure of dilation, and distinguish between proper and improper dilation. Through this we revisit the most sensational examples of dilation, which play up independence between dilator and dilatee, and find the sensationalism undermined by either fallacious reasoning with imprecise probabilities or improperly constructed imprecise probability models. (shrink)

Recent debate about the error theory has taken a ‘formal turn’. On the one hand, there are those who argue that the error theory should be rejected because of its difficulties in providing a convincing formal account of the logic and semantics of moral claims. On the other hand, there are those who claim that such formal objections fail, maintaining that arguments against the error theory must be of a substantive rather than a formal kind. In this paper, we argue (...) that formal objections to the error theory cannot be eschewed but must be met head-on. (shrink)

Epistemic decision theory (EDT) employs the mathematical tools of rational choice theory to justify epistemic norms, including probabilism, conditionalization, and the Principal Principle, among others. Practitioners of EDT endorse two theses: (1) epistemic value is distinct from subjective preference, and (2) belief and epistemic value can be numerically quantified. We argue the first thesis, which we call epistemic puritanism, undermines the second.

The theory of lower previsions is designed around the principles of coherence and sure-loss avoidance, thus steers clear of all the updating anomalies highlighted in Gong and Meng's "Judicious Judgment Meets Unsettling Updating: Dilation, Sure Loss, and Simpson's Paradox" except dilation. In fact, the traditional problem with the theory of imprecise probability is that coherent inference is too complicated rather than unsettling. Progress has been made simplifying coherent inference by demoting sets of probabilities from fundamental building blocks to secondary representations (...) that are derived or discarded as needed. (shrink)

The desirable gambles framework offers the most comprehensive foundations for the theory of lower pre- visions, which in turn affords the most general ac- count of imprecise probabilities. Nevertheless, for all its generality, the theory of lower previsions rests on the notion of linear utility. This commitment to linearity is clearest in the coherence axioms for sets of desirable gambles. This paper considers two routes to relaxing this commitment. The first preserves the additive structure of the desirable gambles framework and (...) the machinery for coherent inference but detaches the interpretation of desirability from the multiplicative scale invariance axiom. The second strays from the additive combination axiom to accommodate repeated gambles that return rewards by a non-stationary processes that is not necessarily additive. Unlike the first approach, which is a conservative amendment to the desirable gambles framework, the second is a rad- ical departure. Yet, common to both is a method for describing rewards called discounted utility. (shrink)

Analyzing geometric properties of high-dimensional loss functions, such as local curvature and the existence of other optima around a certain point in loss space, can help provide a better understanding of the interplay between neural network structure, implementation attributes, and learning performance. In this work, we combine concepts from high-dimensional probability and differential geometry to study how curvature properties in lower-dimensional loss representations depend on those in the original loss space. We show that saddle points in the original space are (...) rarely correctly identified as such in expected lower-dimensional representations if random projections are used. The principal curvature in the expected lower-dimensional representation is proportional to the mean curvature in the original loss space. Hence, the mean curvature in the original loss space determines if saddle points appear, on average, as either minima, maxima, or almost flat regions. We use the connection between expected curvature in random projections and mean curvature in the original space (i.e., the normalized Hessian trace) to compute Hutchinson-type trace estimates without calculating Hessian-vector products as in the original Hutchinson method. Because random projections are not suitable to correctly identify saddle information, we propose to study projections along dominant Hessian directions that are associated with the largest and smallest principal curvatures. We connect our findings to the ongoing debate on loss landscape flatness and generalizability. Finally, for different common image classifiers and a function approximator, we show and compare random and Hessian projections of loss landscapes with up to about 7×10^6 parameters. (shrink)

A characterization result of dilation in terms of positive and negative association admits an extremal counterexample, which we present together with a minor repair of the result. Dilation may be asymmetric whereas covariation itself is symmetric. Dilation is still characterized in terms of positive and negative covariation, however, once the event to be dilated has been specified.

Information-based epistemology maintains that ‘being informed’ is an independent cognitive state that cannot be reduced to knowledge or to belief, and the modal logic KTB has been proposed as a model. But what distinguishes the KTB analysis of ‘being informed’, the Brouwersche schema (B), is precisely its downfall, for no logic of information should include (B) and, more generally, no epistemic logic should include (B), either.

The purpose of this paper is to show that if one adopts conditional probabilities as the primitive concept of probability, one must deal with the fact that even in very ordinary circumstances at least some probability values may be imprecise, and that some probability questions may fail to have numerically precise answers.

A sound and complete axiomatization of two tabloid blogs is presented, Leiter Logic (KB) and Deontic Leiter Logic (KDB), the latter of which can be extended to Shame Game Logic for multiple agents. The (B) schema describes the mechanism behind this class of tabloids, and illustrates the perils of interpreting a provability operator as an epistemic modal. To mark this difference, and to avoid sullying Brouwer's good name, the (B) schema for epistemic modals should be called the Blog Schema.

Traditionally, logic has been the dominant formal method within philosophy. Are logical methods still dominant today, or have the types of formal methods used in philosophy changed in recent times? To address this question, we coded a sample of philosophy papers from the late 2000s and from the late 2010s for the formal methods they used. The results indicate that the proportion of papers using logical methods remained more or less constant over that time period but the proportion of papers (...) using probabilistic methods was approximately three times higher in the late 2010s than it was in the late 2000s. Further analyses explored this change by looking more closely at specific methods, specific levels of technical engagement, and specific subdisciplines within philosophy. These analyses indicate that the increasing proportion of papers using probabilistic methods was pervasive, not confined to particular probabilistic methods, levels of sophistication, or subdisciplines. (shrink)

In this paper, I explain the curious role played by the Argument from Absolute Terms in Peter Unger's book Ignorance, I provide a critical presentation of the argument, and I consider some outstanding issues and the argument’s contemporary significance.

The purpose of this article is to explore the close link between technology and death in the philosophical writings of Lewis Mumford. Mumford famously argued that throughout the history of western civilization we find intertwined two competing forms of technics; the democratic biotechnic form and the authoritarian monotechnic form. The former technics were said to be strongly compatible with an organic form of life while the latter were said to be allied to a mechanical power complex. What is perhaps less (...) well known is the extent to which Mumford characterizes the authoritarian technical form as being a technics of death. This article will argue that the connection between death and technics is a key theme in Mumford’s philosophy of technology. In addition to elaborating this theme and detailing how it informs Mumford’s other positions on the nature of technology, this article will also argue that Mumford’s theory of a technics of death bears witness, both implicitly and explicitly, to the influence of Sigmund Freud’s theory of the death instinct. Freud’s account of the death instinct will be outlined briefly and its influence on Mumford’s writings will be explained. Death, in Mumford’s technological writings, has a generally negative function and serves to warn humanity of the perilous course that its technological civilization is set upon. However it also has a positive function in that it encourages man to transcend its biological existence in acts of creativity and purpose. Death, in this positive sense, serves the purpose of life whereas, in the negative sense, it hinders it. The role of death, in both aspects, will be explored and related to Mumford’s overall perspective on technics and life. It is argued that Mumford’s philosophy of technology cannot be fully understood without an awareness of his views on death and its role in the life of technological society. (shrink)

The Nicomachean Ethics is generally thought to be a “dialectical” work, aimed at resolving aporia in a set of endoxa, which it takes as its starting-point. I argue that Aristotle’s aim in the treatise is, rather, to produce definitions of key ethical terms, and that his starting-points are limited to evaluative and discriminative judgments of a certain sort, which are demanded by the nature of the discipline and are not endoxa. I discuss also how the definitions are reached (focusing on (...) the cases of the virtues of character) and the roles that aporiai do play in the process. (shrink)

Abstract This paper argues that the concept of authenticity has evolved since the time of Adorno’s critique in The Jargon of Authenticity, and that an analysis of tourism offers a way of grasping the altered status of the concept of authenticity and its current ideological function in the contemporary capitalist system. It is suggested that authenticity no longer refers to an existential state, but instead to a purchased experiential moment. This paper traces the alterations in the understanding of existential authenticity (...) from its origins in existential phenomenology to its current status as a key concept in tourism research. It suggests that, while Adorno’s critique of authenticity has become somewhat outdated due to changes in the social relations of modern capitalism, its central argument still holds true, in that contemporary notions of authenticity still play an ideological role in securing the socio-economic status quo by both expressing and concealing the sense of alienation caused by social relations under capitalism. (shrink)

Technological determinism, as a position on the nature and effects of technology/technologies can be divided into optimistic and critical forms. The optimistic variety, of which contemporary cyber-utopianism is an instance, holds that the development of technology shapes or at least facilitates ameliorative alterations in society. The critical variety, on the other hand, tends to problematise or condemn the positive narrative of technological impact on human existence. Whilst the optimistic form still retains some academic credibility, especially concerning digital technologies, the critical (...) variety tends to be viewed as reductionist, essentialist and pessimistic. Furthermore, the fact that many of its leading proponents base their critiques on the analysis of industrial technology, reinforces the impression that critical technological determinism is outdated. I argue that focussing on the specific forms of technology analysed by classic technological determinists is to miss the key point of their arguments. Critical determinism warns that with the increasing integration of technology into everyday life, we run the risk of idealising technological organisation and making sociotechnical relations a model for all social relations. Drawing upon Rendueles’s (2017) analysis of the sociophobic tendencies of the online public sphere, I argue for the continuing relevance of so-called ‘Classic’ technological determinism. The danger posed by the ubiquity of the internet on this account is not that it possesses some innate quality that imposes a particular social pattern on humanity, but that the way in which we interact in cyberspace becomes the norm for social relations outside the cybersphere. (shrink)

Recent years have seen increasing attacks on the "deontological" conception (or as we call it, the guidance conception) of epistemic justification, the view that epistemology offers advice to knowers in forming beliefs responsibly. Critics challenge an important presupposition of the guidance conception: doxastic voluntarism, the view that we choose our beliefs. We assume that epistemic guidance is indispensable, and seek to answer objections to doxastic voluntarism, most prominently William Alston's. We contend that Alston falsely assumes that choice of belief requires (...) the assent to a specific propositional content. We argue that beliefs can be chosen under descriptions which do not specify their propositional content, but instead specify the mental actions by which they are formed and maintained. We argue that these actions partially constitute the beliefs and that is it in virtue of resulting from and being partially constituted by such actions that the beliefs are subject to epistemic appraisal,. (shrink)

The debate between instrumentalist and technological determinist positions on the nature of technology characterised the early history of the philosophy of technology. In recent years however technological determinism has ceased to be viewed as a credible philosophical position within the field. This paper uses Merleau-Ponty’s phenomenology to reconsider the technological determinist outlook in phenomenological terms as an experiential response to the encounter with the phenomenon of modern technology. Recasting the instrumentalist-determinist debate in a phenomenological manner enables one to reconcile the (...) apparent dualism of the instrumentalist and determinist positions through Merleau-Ponty’s ontology of the flesh. This ontology has recently been used to ground accounts of virtual embodiment. We argue that in addition to explaining away the classical form of technological determinism, it can also phenomenologically ground a novel understanding of technological determinism. Namely, a technological determinism of virtual embodiment. (shrink)

This makes three main interpretative points about the progression from perception to universals described in 'Posterior Analytics' II.19: (1) The noun "'aisthesis'" as used in the chapter may refer not to the act of perceiving but to perceptual contents retained in memory. (2) An 'empeiria' (experience) should be understood as a capacity to generate expectations about new members of an unconceptualized kind based on memories of other members of the kind. (3) The famous rout analogy is a metaphor for the (...) perfection of such a capacity into a concept that can underwrite demonstrative knowledge (rather than mere expectation). (shrink)

Haack classifies Spengler’s views on the end of science as what she terms annihilationist in that he forecasts the absolute termination of scientific activity as opposed to its completion or culmination. She also argues that in addition to his externalist argument that Western science, as cultural product, cannot survive the demise of Western Culture, Spengler also puts forward an internalist argument that science, regardless of the imminent demise of Western Culture, is in terminal decline as evidenced by its diminishing returns. (...) I argue against Haack that Spengler’s argument for the diminishing returns of modern science is in fact an externalist one, in that he locates the sources of science’s current decline outside the discipline of science itself, attributing them to a change in cultural attitude towards scientific endeavours. I further argue that Spengler’s prediction of the imminent end of science was directed specifically at pure science, and that he in fact held that applied science would continue to develop. I also take issue with Haack’s suggestion that Spengler’s views on science were outmoded at the time that he wrote them. (shrink)

_Theurgy and the Soul_ is a study of Iamblichus of Syria, whose teachings set the final form of pagan spirituality prior to the Christianization of the Roman Empire. Gregory Shaw focuses on the theory and practice of theurgy, the most controversial and significant aspect of Iamblichus's Platonism. Theurgy literally means "divine action." Unlike previous Platonists who stressed the elevated status of the human soul, Iamblichus taught that the soul descended completely into the body and thereby required the performance of (...) theurgic rites—revealed by the gods—to unite the soul with the One. Iamblichus was once considered one of the great philosophers whose views on the soul and the importance of ritual profoundly influenced subsequent Platonists such as Proclus and Damascius. The Emperor Julian followed Iamblichus's teachings to guide the restoration of traditional pagan cults in his campaign against Christianity. Although Julian was unsuccessful, Iamblichus's ideas persisted well into the Middle Ages and beyond. His vision of a hierarchical cosmos united by divine ritual became the dominant world view for the entire medieval world and played an important role in the Renaissance Platonism of Marsilio Ficino. Even Ralph Waldo Emerson wrote that he expected a reading of Iamblichus to cause a "revival in the churches." But modern scholars have dismissed him, seeing theurgy as ritual magic or "manipulation of the gods." Shaw, however, shows that theurgy was a subtle and intellectually sophisticated attempt to apply Platonic and Pythagorean teachings to the full expression of human existence in the material world. (shrink)

Throughout its brief history the philosophy of technology has been largely concerned with the debate over the nature of technology. Typically, technology has been viewed as being essentially another term for applied science, the practical application of scientific theory to the material world. In recent years philosophers and cultural critics have characterised technology in a far more problematic fashion, as an authoritarian power with the ability to bring about far-reaching cultural, political and ecological effects. Proponents of the former view are (...) often termed instrumentalists and those of the latter technological determinists. The debate between them revolves around the question of the fact/value distinction, namely whether technology can be deemed to be value-neutral. I argue that employing a phenomenological approach to technology grants us a fresh perspective on the instrumentalism-determinism debate. It enables us to recast the instrumentalist/determinist debate as a debate between technological idealism and materialism, and to ground the instrumentalist and determinist positions in different experiential relations to technology. It also gives us a better grasp of the function of the different critiques of technology, with idealists concerned primarily with the misapplication of technology as a form of knowledge, and materialists with the existential implications of concrete technological relations. (shrink)

This paper examines the interrelation between justice and mercy in Anselm’s prayers. Divine justice and human injustice seem to rightly cut off a human being from any assistance, grace, or reformation, since human beings has set themselves in a condition of injustice from which they cannot extricate themselves. Mercy then seems the only solution, but appears not only unjust, but also to trump divine justice, a position inconsistent with Anselm’s explicit statements. So then, how are justice and mercy rendered compatible, (...) even complementary with each other? Human beings are brought into integral roles for each other as intercessors within a divine economy of justice offering mercy within the scope of that very justice. Anselm’s rhetorically and dramatically structured prayers perform an educative as well as petitionary function in assisting the human being to locate, understand, and exert themselves within that divine economy of justice and mercy. (shrink)

In this essay I respond to three of the most forceful objections to the open view of the future. It is argued that a) open view advocates must deny bivalence; b) the open view offers no theodicy advantages over classical theism; and c) the open view can’t assure believers that God can work all things to the better. I argue that the first objection is premised on an inadequate assessment of future tensed propositions, the second is rooted in an inadequate (...) assessment of free will, and the third is grounded in an inadequate assessment of God’s intelligence. (shrink)

Ayn Rand is among the most outspoken, and important, intellectual voices in America, wrote Playboy Magazine in 1964. She is the author of what is perhaps the most fiercely damned and admired best seller of the decade, Atlas Shrugged. This chapter discusses some of the reasons for studying Rand and some of the challenges involved. It also discusses a few features of Rand's corpus and her life that should be borne in mind when studying her.

This book chapter represents one of the engagements between Catholic and Wesleyan philosophers at the 2008 Wesleyan Philosophy Society. The issue of what precisely "Wesleyan philosophy" would mean and comprise can be usefully illuminated by comparison with the positions and issues that were raised and discussed by Catholic scholars during the 1930s Christian philosophy debates in France, which included Etienne Gilson, Maurice Blondel, Jacques Maritain, and Gabriel Marcel. We also discuss how the thought on a contemporary Catholic philosopher Adriaan Peperzack, (...) specifically on affectivity, can be brought into comparison with that important theme in Wesleyan philosophy. (shrink)

In The Decline of the West Spengler puts forward a type of philosophical anthropology, an account of the structures of human experiential consciousness and a method of “physiognomic” analysis, which I argue has dimensions that can be understood as akin to existential phenomenology. Humanity, for Spengler, is witness to the creative flux of “Becoming” and constructs a world of phenomena bounded by death, underpinned by the two prime feelings of dread and longing and structured by the two forms of Destiny (...) (Time) and Direction (Space). Human existence, Spengler argues, is future-directed and open in the sense that there is a certain degree of freedom in the ways in which humanity can actualize its existential possibilities. In the course of elaborating the existential implications of this future-orientation, Spengler introduces the concept of care (Sorge), the fundamental experiential structure. (shrink)

According to Burri, a major reason why suicide is often irrational lies in the option value of life. Remaining alive is valuable because this allows for a larger menu of options, and the possibility of committing suicide in the future adds further value to the act of remaining alive now. In this note, I represent life as a trust game played by two selves – the young self and the old self – and I argue that the possibility to commit (...) suicide in the future can encourage committing suicide now, against what the theory of the option value of life predicts. (shrink)

This chapter is a work in applied metaphysics. Recent discussions of monism and metaphysical dependence are deployed to develop a view—the doctrine of divine priority (DDP)—that is a viable alternative to the doctrine of divine simplicity (DDS). DDS and the traditional motivation for it are discussed, then DDP is introduced by way of an analogy involving Jonathan Schaffer’s distinction between two forms of monism. It is argued that DDP is an alternative to DDS by showing that it is consistent with (...) the traditional motivation for the latter view, and argued that DDP is a viable alternative by showing that objections to its peculiar implications rest on assumptions that can reasonably be rejected. In the concluding section, the findings of the main discussion are summarized and DDP’s potential theological import is illustrated with a brief discussion of a possible solution to the Problem of the Trinity it affords. (shrink)

This paper argues that Oswald Spengler has an innovative philosophical position on the nature and interrelation of mathematics and science. It further argues that his position in many ways parallels that of Martin Heidegger. Both held that an appreciation of the mathematical nature of contemporary science was critical to a proper appreciation of science, technology and modernity. Both also held that the fundamental feature of modern science is its mathematical nature, and that the mathematical operates as a projection that establishes (...) in advance the manner in which an object will present itself. They also assert that modern science, mathematics and metaphysics all have their roots in the ‘mathematical’, whose essence is itself nothing numerical. (shrink)

In November 2022, OpenAI released ChatGPT, an incredibly sophisticated chatbot. Its capability is astonishing: as well as conversing with human interlocutors, it can answer questions about history, explain almost anything you might think to ask it, and write poetry. This level of achievement has provoked interest in questions about whether a chatbot might have something similar to human intelligence or even consciousness. Given that the function of a chatbot is to process linguistic input and produce linguistic output, we consider the (...) question whether a sophisticated chatbot might have inner speech. That is: Might it talk to itself, internally? We explored this via a conversation with ‘Playground’, a chatbot which is very similar to ChatGPT but more flexible in certain respects. We asked it questions which, plausibly, can only be answered if one first produces some inner speech. Here, we present our findings and discuss their philosophical significance. (shrink)

Earl Conee and Richard Feldman have recently argued that the evidential support relation should be understood in terms of explanatory coherence: roughly, one's evidence supports a proposition if and only if that proposition is part of the best available explanation of the evidence. Their thesis has been criticized through alleged counterexamples, perhaps the most important of which are cases where a subject has a justified belief about the future. Kevin McCain has defended the thesis against Byerly's counterexample. I argue that (...) McCain's defense is inadequate before pointing toward a more promising solution for explanationism. The Byerly–McCain exchange is important because it casts light on the difficult issues of the standards for justification and the nature of epistemic support. Furthermore, McCain's defense of explanationism about epistemic support represents an important recent development of the burgeoning explanationist program in epistemology and philosophy of science. (shrink)

In this paper I consider the prospects for a skeptical version of infallibilism. For the reasons given above, I think skeptical invariantism has a lot going for it. However, a satisfactory theory of knowledge must account for all of our desiderata, including that our ordinary knowledge attributions are appropriate. This last part will not be easy for the infallibilist invariantist. Indeed, I will argue that it is much more difficult than those sympathetic to skepticism have acknowledged, as there are serious (...) problems with regarding paradigmatic, typical knowledge attributions as loose talk, exaggerations, or otherwise practical uses of language. So, I do not think the pragmatic story that skeptical invariantism needs is one that works without a supplemental error theory of the sort left aside by purely pragmatic accounts of knowledge attributions. In its place, I will offer a compromise pragmatic and error view that I think delivers everything that skeptics can reasonably hope to get. (shrink)

English translation of Thomas Aquinas' Commentary on the Psalms, Psalm 8.

English translation of Thomas Aquinas' Commentary on the Psalms, Psalm 9.

English translation of Thomas Aquinas' Commentary on the Psalms, Psalm 11.

English translation of Thomas Aquinas' Commentary on the Psalms, Psalm 35.

English translation of Thomas Aquinas' Commentary on the Psalms, Psalm 51.

English translation of Thomas Aquinas' Commentary on the Psalms, Psalm 52.

English translation of Thomas Aquinas' Commentary on the Psalms, Psalm 53.

English translation of Thomas Aquinas' Commentary on the Psalms, Psalm 54.