The technique of the normal ordering of non-commuting operators is an important tool in the solution of problems involving creation and annihilation operators in quantum physics, such as in many-body theory or quantum optics. We point out the inconsistencies in previous definitions of the two standard normal ordering procedures for such operators, and show how consistent definitions may be made.

This study aims to investigate the Pauline concept of ministry as delineated in 2 Corinthians 4:1–15 and its correlation with the prevalence of the religious celebrity syndrome within the Nigerian Church, with the objective of offering insights into addressing this phenomenon. In contemporary Nigerian Christianity, there has been a noticeable emergence of religious celebrities in Christian ministry who prioritise personal fame, material gain and sensationalism over the sincere and honest proclamation of the gospel of Jesus Christ. This trend raises concerns (...) about the deviation from the biblical model of ministry, as exemplified by the apostle Paul, and its implications for the spiritual health of the church and its impact on society. Through a critical exegesis of 2 Corinthians 4:1–15, this study delves into Paul’s understanding of ministry, focussing on themes such as integrity, humility, suffering, selfless sacrifice and the exaltation of Christ. Additionally, qualitative research methods, including interviews, surveys and case studies, were employed to examine the extent and effects of religious celebrity syndrome in the Nigerian Church. The analysis of 2 Corinthians 4:1–15 underscores Paul’s emphasis on the sacrificial nature of Christian ministry, wherein servants of God are called to embody humility and prioritise the proclamation of the gospel above personal gain or acclaim. Concurrently, the qualitative research reveals the pervasive influence of the religious celebrity syndrome in the Nigerian Church, leading to spiritual shallowness, moral compromise and a distorted view of Christianity and Christian ministry in particular within the church and the larger society. Based on the findings, it is recommended that the Nigerian Church reaffirm its commitment to the Pauline model of ministry by promoting humility, integrity and a Christ-centred focus among its leaders and congregants.Contribution: This study highlights the importance of aligning contemporary ministry practices in the Nigerian Church with the principles elucidated by Paul in 2 Corinthians 4:1–15. By embracing humility, integrity and a fervent devotion to Christ, the Church can effectively combat the religious celebrity syndrome within its fold and reclaim its role as a catalyst for societal change. (shrink)

This article examines the reason behind the charge to secrecy imposed by Jesus on the leper in Mark 1:40–45, in the context of African experience, the implications of the meaning conveyed and the challenges posed on the church and the gospel enterprise in Africa. The ministry of Jesus could have been a platform for conflicts, self-glorification, hero worship and exploitation. Jesus resisted the temptation in those directions. The charge to silence in African context reveals the virtue of silence which is (...) subsumed in integrity, modesty and character. It calls the attention of the followers of Jesus to the worthiness of emulating such a lifestyle as a pattern for service to God and humanity. The textual and historical exegetical methodology is adopted in this research. (shrink)

Treatment informed consent aims to preserve the autonomy of patients in the clinician – patient relationship so as to ensure valid consent. An acceptable method of evaluating understanding of consent information is by assessing the extent of recall by patients of the pieces information believed to have been passed across. When concerns are not satisfactorily addressed from the patients’ perspective, recall of consent information may be low. This study is a questionnaire – based cross – sectional interview of consecutive adult (...) surgical patients who could give their respective medical histories and who were booked for elective major surgical procedures over a period of 7 months in a tertiary health institution in southeastern Nigeria. Four to five days after a formal consent session, during ward admission, extent of recall of information on the nature of the disease condition or diagnosis, the nature of the planned procedure and the risks involved in the planned procedure were assessed and analyzed on the background of how satisfying the consent sessions were from individual patient’s perspective. Generally, the recall of nature of disease condition and nature of planned procedure is better than recall of risks involved in the planned procedure. More specifically however, recall in these 3 domains is significantly better among the patients that affirmed that their concerns were satisfactorily addressed. The findings from this study support that no effort should be spared in ensuring that the consent information are satisfying to the patients from the patients’ viewpoint. (shrink)

Reviewing works by James Alison, Alistair McFadyen, Andrew Sung Park, Ted Peters, and Solomon Schimmel, the author suggests that the status and function of the discourse/doctrine of sin highlight tensions between theology and ethics in ways that suggest the character, limits, and promise of religious ethics. This literature commends attention to sin-talk because it helps religious ethicists to render more adequately the dynamics of human agency, sociality, and culture and because it raises questions about the nature and task of (...) theology, faith, and morality. Yet these volumes also indicate that religious ethics should pay more attention to particular sins. (shrink)

Divorce amongst married couples is a disturbing phenomenon amongst the Yoruba people of southern Nigeria. Unfortunately, the church in Yoruba land, which has focused much of its teachings on financial prosperity, has started facing the consequences of these lopsided teachings. Using a phenomenological approach, this study argues that the lack of sexual satisfaction, poverty, activities of fake pastors, infidelity and lies from any of the partners are the major causes of increasing divorce rates amongst Yoruba Christians. Existing literature has not (...) adequately addressed the issue of divorce amongst Yoruba Christians. This study explores the growing divorce rates from the lens of Yoruba Christians and how it impacts on the family, children and the church at large. As part of this recommendation, church leadership should start organising marriage seminars for married couples where they are taught a nonviolent approach to conflict resolution in the family.Contribution: This study indicates that the activities of some churches and their leaders indirectly support divorce, and the consequence is mostly felt by the children. This study argues that divorce is not supported by the church in Yoruba land. The study implicated practical theology. (shrink)

It is widely believed that such old-fashioned questions have been rendered absurd by the materialism of modern empirical science, but some seemingly 'magical' properties of quantum mechanics have brought them back into serious discussion in some circles. I will examine the possibility of making miracles using well-established principles of quantum mechanics--in particular, the possibility that quantum theory allows for the most desirable ' miracle ' of all: immortality.

Machine generated contents note: -- Part I -- 1. Portrait of the psychiatrist as a young man 1927-1960 -- 2. Portrait of the psychiatrist as an intellectual. Laing's early, notebooks, personal library, essays, papers, and talks -- 3. Laing and psychiatric theory -- 4. Laing and existential-phenomenology -- 5. Laing and Religion -- 6. Laing and the Arts -- Part II -- 7. Laing in the Army -- 8. Gartnavel Hospital and the 'Rumpus Room' -- 9. Individual patients at Gartnavel (...) -- 10. Laing at the Southern General Hospital -- 11. Laing in London -- 12. The Divided Self. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:110 HISTORY OF PHILOSOPHY History of Aesthetics, Vol. I. Ancient Aesthetics. By Wladyslaw Tatarkiewicz. Ed. J. Harrell. Trans. Adam and Ann Czerniawski. (The Hague-Paris: Mouton and Warszawa: PWN-Polish Scientific Publishers, 1970. Pp. vii-352.) History of Aesthetics, Vol. II. Medieval Aesthetics. By WladySlaw Tatarkiewicz. Ed. C. Barrett. Trans. R. M. Montgomery. (The Hague-Paris: Mouton and Warszawa: PWN-Polish Scientific Publishers, 1970. Pp. vii-315.) These two volumes of Tatarkiewicz' monumental history of (...) aesthetics, the third volume (to 1700) of which is now being prepared for press, have been reviewed already in the major aesthetic journals in Europe and America following their publication in Polish. Since Polish is not one of my languages, I can say nothing about the adequacy of the (rather obscured) translators and their work. The editors of both volumes have done their difficult work thoroughly, though the usual inconsistencies of spelling and such creep in. British spellings of judgement, centre, and colour, for example, appear in one part of a volume, while center, color, and judgment appear in another part. These are rare and not at all irksome details. On p. 220 of volume I, Aristotle has become a Stagiryte (sic). If the editors and translators actually re-checked all of those Greek, Polish and English texts--to say nothing of the Latin--they have earned a very large debt indeed. Again, my selective ignorance eliminates me from assessment. Tatarkiewicz' historical writing is surgical and Lacon-like. His major achievement lies in refraining from philosophical animadversions and for sticking strictly to his topic, no matter how tempting the theoretic distractions. Actually one expects a history of aesthetics to find the locus of aesthetic theory in the usual systematic frameworks of outstanding philosophers, but again Tatarkiewicz knows better than to try to provide these settings. His device is to stay exactly with the texts of authors, and to provide as much evidence for his statements as a printed work will allow. His scholarship is truly prodigious, and the work will live as reference for a long time to come. But it is more than a reference. There are some remarkable novelties included that bear mention. First of all, Tatarkiewicz' opening analysis of what must be included in a history of aesthetics is penetrating and convincing. In addition to the major "dualities" of aesthetics (beauty-art, subjective-objective aesthetics, psychological-sociological aesthetics, descriptive-prescriptive aesthetics, etc.) he simply accepts the necessity to find evidence of aesthetic history among statements by artists, among the inexplicit and inarticulate art works, in the vox populi and cultural actions of people. Thus the "evidence" he adduces will often displease the theoretical purist. Next, one is impressed by the great antiquity of some key issues that are being avidly pursued today. What is impressive is not that they are being repeated now, but that modern writers so rarely recognize (or acknowledge) their historical sources---or seem to care to. A careful study of this history might do much to reduce the growing volume in aesthetics----or at least to change the direction of emphasis significantly. One is surprised to note which figures emerge as of first rate importance in the history of aesthetics, important for different reasons. These figures stand out: Democritus, Plotinus, Aristotle, Vitruvius, the Pseudo-Dionysius, Johannes Scotus Erigena, to select only a few. The first Polish philosopher, Vitelo, anticipates much modern psychologizing in advancing the work of Alhazen. Ockham, not so surprising, contributes major advances, as do Augustine and Aquinas. BOOK REVIEWS 111 One fascinating item is the author's extensive account of the most violent and extended controversy in the history of aesthetics---the veneration of images and the disputes between the Iconoclasts and the Iconophiles. This sometimes physical battle raged for over 100 years! The Byzantine society, obviously, took art seriously. Tatarkiewicz' great labor is an object lesson in historiography and bibliographic technique. At one and the same time it demonstrates how much of value remains to be discovered by careful adherence to the detail of scholarship, while it also displays how much fruitful scholarship depends upon a brilliant and profoundly informed mind. Such a work, in short, could only have descended from a fully mature... (shrink)

A notion of finitary inductively presented (f.i.p.) logic is proposed here, which includes all syntactically described logics (formal systems)met in practice. A f.i.p. theory FS0 is set up which is universal for all f.i.p. logics; though formulated as a theory of functions and classes of expressions, FS0 is a conservative extension of PRA. The aims of this work are (i)conceptual, (ii)pedagogical and (iii)practical. The system FS0 serves under (i)and (ii)as a theoretical framework for the formalization of metamathematics. The general approach (...) may be used under (iii)for the computer implementation of logics. In all cases, the work aims to make the details manageable in a natural and direct way. (shrink)

Philosophers have long suspected that thought and discourse about what we ought to do differ in some fundamental way from statements about what is. But the difference has proved elusive, in part because the two kinds of statement look alike. Focusing on judgments that express decisions--judgments about what is to be done, all things considered--Allan Gibbard offers a compelling argument for reconsidering, and reconfiguring, the distinctions between normative and descriptive discourse--between questions of "ought" and "is." Gibbard considers how our (...) actions, and our realities, emerge from the thousands of questions and decisions we form for ourselves. The result is a book that investigates the very nature of the questions we ask ourselves when we ask how we should live, and that clarifies the concept of "ought" by understanding the patterns of normative concepts involved in beliefs and decisions. An original and elegant work of metaethics, this book brings a new clarity and rigor to the discussion of these tangled issues, and will significantly alter the long-standing debate over "objectivity" and "factuality" in ethics. Table of Contents: I. Preliminaries 1. Introduction: A Possibility Proof 2. Intuitionism as Template: Emending Moore II. The Thing to Do 3. Planning and Ruling Out: The "Frege-Geach" Problem 4. Judgment, Disagreement, Negation 5. Supervenience and Constitution 6. Character and Import III. Normative Concepts 7. Ordinary Oughts: Meaning and Motivation 8. Normative Kinds: Patterns of Engagement 9. What to Say about the Thing to Do: The Expressivistic Turn and What it Gains Us IV. Knowing What to Do 10. Explaining with Plans 11. Knowing What to Do 12. Ideal Response Concepts 13. Deep Vindication and Practical Confidence 14. Impasse and Dissent References Index This is a remarkable book. It takes up a central and much-discussed problem - the difference between normative thought and "descriptive" thought. It develops a compelling response to that problem with ramifications for much else in philosophy. But perhaps most importantly, it brings new clarity and rigor to the discussion of these tangled issues. It will take some time to come to terms with the details of Gibbard's discussion. It is absolutely clear, however, that the book will reconfigure the debate over objectivity and "factuality" in ethics. --Gideon Rosen, Professor of Philosophy, Princeton University Gibbard,/author> writes elegantly, and the theory he develops is innovative, philosophically sophisticated, and challenging. Gibbard defends his theory vigorously and with admirable intellectual honesty. --David Copp, Professor of Philosophy, Bowling Green State University. (shrink)

I present a puzzle – the “puzzle of aesthetic testimony” – along with a solution to it that appeals to the impossibility of testimonial understanding. I'll criticize this solution by defending the possibility of testimonial understanding, including testimonial aesthetic understanding.

Feferman, S. and G. Jäger, Systems of explicit mathematics with non-constructive μ-operator. Part I, Annals of Pure and Applied Logic 65 243-263. This paper is mainly concerned with the proof-theoretic analysis of systems of explicit mathematics with a non-constructive minimum operator. We start off from a basic theory BON of operators and numbers and add some principles of set and formula induction on the natural numbers as well as axioms for μ. The principal results then state: BON plus set induction (...) is proof-theoretically equivalent to Peano arithmetic PA; BON plus formula induction is proof-theoretically equivalent to the system <0 of second-order arithmetic. (shrink)

When I was a teenager growing up in Los Angeles in the early 1940s, my dream was to become a mathematical physicist: I was fascinated by the ideas of relativity theory and quantum mechanics, and I read popular expositions which, in those days, besides Einstein’s The Meaning of Relativity, was limited to books by the likes of Arthur S. Eddington and James Jeans. I breezed through the high-school mathematics courses (calculus was not then on offer, and my teachers barely understood (...) it), but did less well in physics, which I should have taken as a reality check. On the philosophical side I read a mixed bag of Bertrand Russell, John Dewey and Alfred Korzybski (the missionary for “General Semantics” in Science and Sanity, a mish-mash of the theory of types, non-. (shrink)

I will talk here about three problems that have bothered me for a number of years, during which time I have experimented with a variety of solutions and encouraged others to work on them. I have raised each of them separately both in full and in passing in various contexts, but thought it would be worthwhile on this occasion to bring them to your attention side by side. In this talk I will explain the problems, together with some things that (...) have been tried in the past and some new ideas for their solution. (shrink)

Seder ha-teshuvah -- Marpe la-nefesh -- Teshuvah me-ḥayim.

In lieu of an abstract, here is a brief excerpt of the content:Robert C. Solomon IN DEFENSE OF SENTIMENTALITY "A sentimentalist is simply one who desires to have the luxury of an emotion without paying for it." —Oscar Wilde, De Profundis. 66TA That's Wrong with Sentimentality?"1 That tide of Mark JefV V ferson's 1983 Mindessay already indicates a great deal notonly about the gist of his article but about a century-old prejudice that has been devastating to ethics and literature (...) alike. According to that prejudice, it goes without saying that there is something wrong with it, even if it is difficult to put one's finger on it. To be called "sentimental" is to be ridiculed, or dismissed. Sentimentality is a weakness, it suggests hypocrisy. Or, perhaps it is the fact that sentimental people are so... so embarrassing. (How awkward it is talking or sitting next to someone weeping or gushing, when one is dry-eyed and somber.) Or, perhaps it is the well-confirmed fact that sentimentalists have such poor taste, and sentimental literature is, above all, literature that is cheap, superficial, and manipulative—in other words, verbal kitsch. Such mawkish literature jerks tears from otherwise sensible readers, and sentimentalists are those who actually enjoy that humiliating experience. Perhaps that is why Oscar Wilde thought that sentimentalists were really cynics ("Sentimentality is merely the bank holiday of cynicism").2 Or, perhaps what bothers us is what bothered Michael Tanner, that sentimental people indulge themselves in their feelings instead of doing what should be done.3 It is often said that the problem is that sentimentality and sentimental literature alike give us a false view of the world, distort our thinking and substitute a "saccharine" portrait of the world in place ofwhat we all know to be the horrible realities. Moreover, as Jefferson more than merely suggests, the "simple-minded sympathies " ofsentimentality might actually promote fascism and racism. Mary Midgley similarly suggests that sentimentality leads to brutality.4 But Philosophy and Literature, © 1990, 14: 304-323 Robert C. Solomon305 even where sentimentality is a harmless diversion—a Daphne du Maurier novel on a sad Saturday afternoon—it seems to be all but agreed that sentimentality is no virtue even ifit is not, like cruelty and hypocrisy, intrinsically vicious. Something is wrong with sentimentality; the only question is, what is it that is wrong? In this essay, I will argue that there is nothing wrong with sentimentality. Of course, like any quasi-ethical category, it admits of unwarranted excesses and hypocritical abuses, and is prone to various pathological distortions. But the prejudice against sentimentality, I want to argue, is ill-founded and in fact is an extension ofthat all-too-familiar contempt for the passions in Western literature and philosophy. Our disdain for sentimentality is the rationalist's discomfort with any display of emotion, warranted as well as unwarranted, appropriate as well as inappropriate. It is as ifthe very word, "sentimentality," has been loaded with the connotations of "too much"—too much feeling and too litde common sense and rationality, as if these were opposed instead of mutually supportive. It is as if sentimentality and its sentiments are never warranted and always inappropriate. The word has come to be used as the name of a deficiency or a weakness if not, as some critics have written, a malaise. But I take sentimentality to be nothing more nor less than the "appeal to tender feelings," and though one can manipulate and abuse such feelings (including one's own), and though they can on occasion be misdirected or excessive, there is nothing wrong with them as such and hence nothing (in that respect) wrong with literature that provokes us, that "moves" us, to abstract affection or weeping. Sentimentality implies no deficiency in one's rational faculties and does not imply any inappropriateness, unwillingness, or lack of readiness to act. Sentimentality does not involve any distortion of the world and it does not impede but rather prepares and motivates us to react in "the real world." It is not an escape from reality or responsibility, but, quite to the contrary, provides the precondition for ethical engagement rather than an obstacle to it. Historically, I want to trace the fate of sentimentality to... (shrink)

In this paper, I defend the claim, made by G. E. M. Anscombe and J. L. Austin, that you can insult someone by refusing her testimony. I argue that refusing someone’s testimony can manifest doubt about her credibility, which in the relevant cases is offensive to her, given that she presupposed her credibility by telling what she did. I conclude by sketching three applications of my conclusion: to the issue of valuable false belief, to the issue of testimonial injustice, and (...) to the issue of skepticism about testimonial knowledge. (shrink)

Introduction; A.Hazlett Quantification, Naturalness, and Ontology; R.P.Cameron Two Problems of Composition in Collective Action; S.R.Chant Another Look at the Reality of Race, By Which I Mean Racef; J.Glasgow Bringing Things About; N.Judisch Interpretation: Its Scope and Limits; U.Kriegel Empirical Analyses of Causation; D.Kutach Brutal Individuation; A.Hazlett Ghosts in the World Machine? Humility and Its Alternatives; R.Langton& C.Robichaud Is Everything Relative? Anti-Realism, Truth, and Feminism; M.Mikkola Minimalism and Modality: The Nature of Mathematical Objects; K.Miller Are There Fundamental Intrinsic Properties?; A.Ney On (...) the Very Idea of an Ecosystem; J.Odenbaugh The Prince of Wales Problem for Counterfactual Theories of Causation; C.Sartorio Index. (shrink)

This article examined the warning against evil companions in Proverbs 1:8-19 and the role of the church in addressing the involvement of Tiv youths in crime in Benue State and its implications for actions. Wicked people were zealous in seducing others into the paths of destruction. Would young people shun temporal and eternal ruin? This was the reason for Solomon's instruction in Proverbs 1:8-19. He admonished his son with the caption 'hear,' which presented the son with a choice. However, (...) Solomon implored the child to refuse to take any step in destructive paths of evildoers. The persuasive nature of the pericope was important in addressing the growing crime rate amongst Tiv youths in Benue State. Most youths in Tiv communities were being enticed into joining criminal gangs, secret cults and rituals in order to make quick wealth. Unfortunately, the number of youths in these immoral acts such as YahooYahoo amongst Tiv youths kept on increasing in the midst of the growing number of churches in most Tiv societies. Rhetoric analysis was used as the methodology. As part of recommendations, parents should instruct, discipline and stop their children from engaging in acts that lead to death. The youths should also avoid evil companions to avoid falling into trouble.CONTRIBUTION: Youths are the leaders of tomorrow, which makes admonition to youths a necessity for the growth of the Tiv Society. Proverbs 1:8-19 provides roadmaps that Tiv leaders and the church could adopt in preserving morality among Tiv youths. (shrink)

In 1975, Colwyn Trevarthen first presented his groundbreaking explorations into the early origins of human intersubjectivity. His influential model dictates that, during intimate and playful spontaneous face-to-face protoconversations, the emotions of both the 2–3-month-old infant and mother are nonverbally communicated, perceived, mutually regulated, and intersubjectively shared. This primordial basic interpersonal interaction is expressed in synchronized rhythmic-turn-taking transactions that promote the intercoordination and awareness of positive brain states in both. In this work, I offer an interpersonal neurobiological model of Trevarthen’s intersubjective (...) protoconversations as rapid, reciprocal, bidirectional visual-facial, auditory-prosodic, and tactile-gestural right brain-to-right brain implicit nonverbal communications between the psychobiologically attuned mother and the developing infant. These co-constructed positive emotional interactions facilitate the experience-dependent maturation of the infant’s right brain, which is in an early critical period of growth. I then address the central role of interpersonal synchrony in intersubjectivity, expressed in a mutual alignment or coupling between the minds and bodies of the mother and infant in face-to-face protoconversations, as well as how these right brain-to-right brain emotional transmissions generate bioenergetic positively charged interbrain synchrony within the dyad. Following this, I offer recent brain laterality research on the essential functions of the right temporoparietal junction, a central node of the social brain, in face-to-face nonverbal communications. In the next section, I describe the ongoing development of the protoconversation over the 1st year and beyond, and the co-creation of a fundamental energy-dependent, growth-promoting social emotional matrix that facilitates the emergence of the highly adaptive human functions of mutual play and mutual love. In the final section, I discuss the clinical applications of this interpersonal neurobiological model of intersubjectivity, which has a long history in the psychotherapy literature. Toward that end, I offer very recent paradigm-shifting hyperscanning research that simultaneously measures both the patient and therapist during a psychotherapeutic interaction. Using the Trevarthen’s two-person intersubjective model, this research demonstrates changes in both brains of the therapeutic dyad and the critical role of nonverbal communications in an emotionally-focused psychotherapy session. These studies specifically document interbrain synchronization between the right temporoparietal junction of the patient and the right temporoparietal junction of the clinician, a right brain-to-right brain nonverbal communication system in the co-constructed therapeutic alliance. Lastly, I discuss the relationship between the affect communicating functions of the intersubjective motivational system and the affect regulating functions of the attachment motivational system. (shrink)

I met Dan Callahan in 1986—when I came to pitch him. Coming from a sleek office setting near Boston, I was intrigued by The Hastings Center's higgledy‐piggledy environment where so many smart people got to work in a relaxed, inviting atmosphere. I had noticed that the Center was producing a great deal of policy work on a wide range of topics but didn't seem to go further than publishing the highly valuable guidance developed under Dan Callahan's leadership. I ended my (...) pitch, “Look, Dan, where Hastings gets bored and wants to go on to the next topic, my group in Boston gets interested.” To my great pleasure, and despite his skepticism, Dan accepted the pitch. Beyond his generous responsiveness to unproven young people, Dan had many other virtues. For one, he was a boundary crosser. (shrink)

Most people not only think that it is possible for reasonable people to disagree, but that it is possible for people to recognize that they are parties to a reasonable disagreement. The aim of this paper is to explain how such mutually recognized reasonable disagreements are possible. I appeal to an which implies a form of relativism about reasonable belief, based on the idea that whether a belief is reasonable for a person can depend on the fact that she has (...) inherited a particular worldview from her community. (shrink)

Trust in the practice of rational deliberation is widespread and largely unquestioned. This paper uses recent work from business contexts to challenge the view that rational deliberation in a group improves decisions. Pressure to reach consensus can, in fact, lead to phenomena such as groupthink and to suppression of relevant data. Aggregation of individual decisions, rather than deliberation to a consensus, surprisingly, can produce better decisions than those of either group deliberation or individual expert judgment. I argue that dissent is (...) epistemically valuable, not because of the discussion it can provoke (Mill's and Longino's view about the benefit of dissent), but because dissenting positions often are associated with particular data or insights that would be lost in consensus formation. Social epistemologists can usefully pay attention to various methods of aggregation of individual opinion for their effectiveness at realizing epistemic goals. (shrink)

Calibration, the use of a surrogate signal to standardize an instrument, is an important strategy for the establishment of the validity of an experimental result. In this paper, I present several examples, typical of physics experiments, that illustrate the adequacy of the surrogate. In addition, I discuss several episodes in which the question of calibration is both difficult to answer and of paramount importance. These episodes include early attempts to detect gravity waves, the question of the existence of a 17–keV (...) neutrino, and the question of the existence of a Fifth Force in gravity. I argue that in these more complex cases, the adequacy of calibration, in an extended sense, was both considered and established. (shrink)

In addition to this being the centenary of Kurt Gödel’s birth, January marked 75 years since the publication (1931) of his stunning incompleteness theorems. Though widely known in one form or another by practicing mathematicians, and generally thought to say something fundamental about the limits and potentialities of mathematical knowledge, the actual importance of these results for mathematics is little understood. Nor is this an isolated example among famous results. For example, not long ago, Philip Davis wrote me about what (...) he calls The Paradox of Irrelevance: “There are many math problems that have achieved the cachet of tremendous significance, e.g. Fermat, 4 color, Kepler’s packing, Gödel, etc. Of Fermat, I have read: ‘the most famous math problem of all time.’ Of Gödel, I have read: ‘the most mathematically significant achievement of the 20th century.’ … Yet, these problems have engaged the attention of relatively few research mathematicians—even in pure math.” What accounts for this disconnect between fame and relevance? Before going into the question for Gödel’s theorems, it should be distinguished in one respect from the other examples mentioned, which in any case form quite a mixed bag. Namely, each of the Fermat, 4 color, and Kepler’s packing problems posed a stand-out challenge following extended efforts to settle them; meeting the challenge in each case required new ideas or approaches and intense work, obviously of different degrees. By contrast, Gödel’s theorems were simply unexpected, and their proofs, though requiring novel techniques, were not difficult on the scale of things. Setting that aside, my view of Gödel’s incompleteness theorems is that their relevance to mathematical logic (and its offspring in the theory of computation) is paramount; further, their philosophical relevance is significant, but in just what way is far from settled; and finally, their mathematical relevance outside of logic is very much unsubstantiated but is the object of ongoing, tantalizing efforts.. (shrink)

This contribution is derived from a more extensive 2018 PhD study in which the contested nature of the discourses on reconciliation is explored. It provides a conceptual analysis of how reconciliation is understood in the Kairos Document. Regarded as an outstanding example of a theological response to the problem of apartheid, what is often overlooked is the tension implicit in its approach which, in turn, has serious implications for how matters of social justice are understood and acted upon. Here, the (...) need for political, economic and cultural liberation is emphasised. It is assumed that social justice can only follow upon liberation, and that reconciliation is only possible on the basis of following justice. In this contribution, I contend that those who take this approach are confronted with the danger of self-secularisation, of reducing the Christian confession to nothing more than an example of religious affiliation that may be tolerated as long as its particular claims are not foregrounded. The obvious danger, as may be the case with the Kairos Document, is one of being socially relevant without having anything distinct to offer. This, in turn, has serious implications for how its history and significance are approached pedagogically. (shrink)