We present integral equations for the scattering amplitudes of three scalar particles, using the Faddeev channel decomposition, which can be readily extended to any finite number of particles of any helicity. The solution of these equations, which have been demonstrated to be calculable, provide a nonperturbative way of obtaining relativistic scattering amplitudes for any finite number of particles that are Lorentz invariant, unitary, cluster decomposable and reduce unambiguously in the nonrelativistic limit to the nonrelativistic Faddeev equations. The aim of this (...) program is to develop equations which explicitly depend upon physically observable input variables, and do not require “renormalization” or “dressing” of these parameters to connect them to the boundary states. As a unitary, cluster decomposible, multichannel theory, physical systems whose constituents are confined can be readily described. (shrink)

Far from being unwelcome or impossible in a mathematical setting, indeterminacy in various forms can be seen as playing an important role in driving mathematical research forward by providing “sources of newness” in the sense of Hutter and Farías :434–449, 2017). I argue here that mathematical coincidences, phenomena recently under discussion in the philosophy of mathematics, are usefully seen as inducers of indeterminacy and as put to work in guiding mathematical research. I suggest that to call a pair of mathematical (...) facts a coincidence is roughly to suggest that the investigation of connections between these facts isn’t worthwhile. To say of this pair, “That’s no coincidence!” is to suggest just the opposite. I further argue that this perspective on mathematical coincidence, which pays special attention to what mathematical coincidences do, may provide us with a better view of what mathematical coincidences are than extant accounts. I close by reflecting on how understanding mathematical coincidences as generating indeterminacy accords with a conception of mathematical research as ultimately aiming to reduce indeterminacy and complexity to triviality as proposed in Rota Indiscrete thoughts, Birkhäuser, 1997). (shrink)

Original and penetrating, this book investigates of the notion of inference from signs, which played a central role in ancient philosophical and scientific method. It examines an important chapter in ancient epistemology: the debates about the nature of evidence and of the inferences based on it--or signs and sign-inferences as they were called in antiquity. As the first comprehensive treatment of this topic, it fills an important gap in the histories of science and philosophy.

When William James spoke about belief to the philosophy clubs of Yale and Brown in 1896, he forewarned his audience of the nature of his comments by describing them as a “sermon on justification by faith” (James 13), titling the talk “The Will to Believe.” Although there is disagreement about the substance of James’s remarks, it is fairly innocuous to assert that James thought they were appropriate because of the prevalence of the “logical spirit” of many (...) of those who practiced academic philosophy that led them to the conclusion that religious faith was untenable. Aware of his audience, James presents his view on the permissibility of religious faith on the terms and grounds familiar to professional philosophers. .. (shrink)

No other volume has this scope. Students in bioethics, public and international health, and ethics will find this book particularly useful.

Face perception plays a central role in social communication and is, arguably, one of the most sophisticated visual perceptual skills in humans. The organization of neural systems for face perception has stimulated intense debate. This article presents an updated model of distributed human neural systems for face perception. It opens up with a discussion of the Core System for visual analysis of faces with an emphasis on the distinction between perception of invariant features for identity recognition and changeable features for (...) recognition of facial gestures such as expression and eye gaze. The study analyses the roles of systems for the representation of emotion, for person knowledge, and for action understanding in face recognition and perception of expression and gaze. It presents systems that are of particular relevance for social communication and that are illustrative of how distributed systems are engaged by face perception. It concludes with a discussion of modularity and distributed processing in neural representation. (shrink)

Additional theorizing about mathematical practice is needed in order to ground appeals to truly useful notions of the virtues in mathematics. This paper aims to contribute to this theorizing, first, by characterizing mathematical practice as being epistemic and “objectual” in the sense of Knorr Cetina The practice turn in contemporary theory, Routledge, London, 2001). Then, it elaborates a MacIntyrean framework for extracting conceptions of the virtues related to mathematical practice so understood. Finally, it makes the case that Wittgenstein’s methodology for (...) examining mathematics and its practice is the most appropriate one to use for the actual investigation of mathematical practice within this MacIntyrean framework. At each stage of thinking through mathematical practice by these means, places where new virtue-theoretic questions are opened up for investigation are noted and briefly explored. (shrink)

In 1973, Rittel and Webber coined the term ‘wicked problems’, which they viewed as pervasive in the context of social and policy planning.1 Wicked problems have 10 defining characteristics: they are not amenable to definitive formulation; it is not obvious when they have been solved; solutions are not true or false, but good or bad; there is no immediate, or ultimate, test of a solution; every implemented solution is consequential, it leaves traces that cannot be undone; there are no criteria (...) to prove that all potential solutions have been identified and considered; every wicked problem is essentially unique; every wicked problem can be considered to be a symptom of another problem; a wicked problem can be explained in numerous ways and the choice of explanation determines what will count as a solution and the actors are liable for the consequences of the actions they generate.1 One needs only a passing familiarity with the history of HIV prevention research, and with the intellectual traditions of research ethics, to appreciate that the perils and opportunities arising from proposals to conduct research with people who inject drugs in some of the most precarious social and political circumstances around the world and the challenges associated with implementing the findings satisfy Rittel's and Webber's criteria for ‘wicked problems’. HIV prevention research has contributed important new knowledge about the feasibility, efficacy or relative efficacy of various prevention strategies in a variety of contexts around the world. But the pathways and timelines for how this knowledge has contributed to improvements in public health practice and/or the establishment of policies that ensure unfettered access to appropriate healthcare services for PWID are less clear and decidedly non-linear. One account of the transition from trial to policy …. (shrink)

In 1973, Rittel and Webber coined the term ‘wicked problems’, which they viewed as pervasive in the context of social and policy planning. 1 Wicked problems have 10 defining characteristics: they are not amenable to definitive formulation; it is not obvious when they have been solved; solutions are not true or false, but good or bad; there is no immediate, or ultimate, test of a solution; every implemented solution is consequential, it leaves traces that cannot be undone; there are no (...) criteria to prove that all potential solutions have been identified and considered; every wicked problem is essentially unique; every wicked problem can be considered to be a symptom of another problem; a wicked problem can be explained in numerous ways and the choice of explanation determines what will count as a solution and the actors are liable... (shrink)

The rejection of a “characterless” moral self is central to some of Bernard Williams’ most important contributions to philosophy. By the time of Truth and Truthfulness, he works instead with a model of the self constituted and stabilized out of more primitive materials through deliberation and in concert with others that takes inspiration from Diderot. Although this view of the self raises some difficult questions, it serves as a useful starting point for thinking about the process of developing an authentic (...) moral point of view in the context of contemporary living. In what follows, I begin to fill out and extend this picture of the self and its related notion of authenticity by exploring some of the “technologies of the self” at play in Rachel Cusk’s recent work (primarily, the Outline trilogy, Coventry, Second Place, and “The Stuntman”) that ask us to rethink the possibility and importance of stability; seek a way of constituting oneself and one’s values outside the confining structures of traditional narrative (focusing instead on a framework that might be provided by the visual arts); and give a different role to the sort of internalized other Williams sees as being at work in the mechanisms of shame. (shrink)

James V. Schall presents, in a convincing and articulate manner, the revelational contribution to political philosophy, particularly that which comes out of the Roman Catholic tradition.

L-shaped distributions are not rare and are probably far more prevalent than is generally realized. They are highly conducive to nonrobustness of normality-assuming statistical tests, and they strongly resist transformation to normality. The thinner the tail of the distribution, the more unlikely it is that its L-shapedness will be detected by inspecting a sample drawn from it. Yet, as the tail of an L-shaped distribution becomes increasingly shallow, its skewness and kurtosis depart increasingly from their “normal-distribution” values, and the distribution (...) becomes increasingly conducive to drastic nonrobustness. Worse, a fairly common type of experimental situation in psychological research produces shallow-tailed L-shaped distributions. (shrink)

For each of the N-values 2, 4, 8, 16, 32, 64, 128, 256, 512, and 1,024, 50,000 samples of size N were drawn from an L-shaped population, and for each sample the Z and t statistics were calculated. The resulting distributions of 50,000 Z or t values at each sample size were then used to study the robustness of left-tailed, right-tailed, and two-tailed Z and t tests at α levels of.05,.01, and.001 (and, for Z only,.0001). The actually obtained proportion, ρ, (...) of Type I errors was often far greater or far smaller than the nominal proportion, α. Furthermore, although α is the expected value of ρ at infinite N, no N-value below 512 ever brought the deviation of p from α to within 10% of α for any t tests or one-tailed Z tests. (shrink)

An episode of social conflict between Russian and Estonian "mnemonic communities" is used as a framework for exploring issues of collective memory. In order to understand the strong Russian reaction to the Estonian decision to move a memorial statue, it is argued that the notion of "deep memory" is needed, a notion that is, in turn, grounded in the construct of a "narrative template." The particular narrative template examined is the Russian "Expulsion of Foreign Enemies" plot line. The call for (...) recognizing a distinction between abstract narrative templates, on the one hand, and "specific narratives," on the other is viewed as applying to a wide range of cases where mnemonic communities seem to exist in implacable opposition. In such cases deep memory and the narrative templates around which it is organized are set forth as strong underlying conservative forces that resist change in collective memory at a deep level. It is suggested that debates grounded in formal history may help overcome this resistance to change but that such efforts will be limited as long as the forces of deep collective memory are not recognized. (shrink)

The robustness of the classical tests on means (Z, t, and F) and variances (chi square and F) was investigated by obtaining 30,000 (or, sometimes, 10,000 or 150,000) values of the test statistic under assumption-violating conditions and comparing the actual proportion of Type I errors with the proportion expected when all assumptions are met. The sampling and testing conditions investigated were: population shape (L-shape or bell-shape), relative population variance (1 or 4), sample size (8, 16, or 24), nominal significance level (...) (.05,.01, or.001), and location of rejection region (left-tailed, right-tailed, or two-tailed). All tests on means were nonrobust under most of the investigated conditions, and one was nonrobust under all of them. Both tests on variances were extremely nonrobust under virtually all conditions. The worst nonrobustness of the one- and two-independent-sample Z and t tests rivaled or exceeded that of the notoriously nonrobust chi-square and F tests on variances. (shrink)

The alleged robustness of Z, t, and F tests against nonnormality and, when sample sizes are equal, of t and F tests against heterogeneity as well was investigated in a large-scale sampling study under conditions realistic to experimentation and testing in the behavioral sciences. Factors varied were: population shape (L or bell), σ1/σ2 (1/2, 1, or 2), size N of smallest sample (2, 4, 8, 16, 32, 64, 128, 256, 512, or 1,024), N1/N2 (1/3,1/2,1, 2, or 3), α (.05,.01, or.001), (...) and test tailedness (left, right, or two). In about 25% of the situations investigated, the test failed to meet a very lax criterion for robustness at every examined N value less than 100, and in 8% at every value less than 1,000; no test met the criterion in all of the situations studied before N=512. Robustness was strongly influenced by all of the factors investigated, and interactions among the influencing factors were often strong and complex. (shrink)

Sociologists of religion have recently focused on the growth of religious individualism in Western societies. Whether seen as a new religious trend or as a cultural correlate to the general weakening of civic organizations in the contemporary era, it is often presented as the growing tendency in religious life. It is also frequently presented in a positive light. This article explores a different alternative. Based on the work of Herbert Marcuse, it asks whether religious individualism heightens or undercuts the possibility (...) of opposition to the status quo. Marcuse’s underlying argument implies that when religion becomes a lifestyle choice, it becomes just another consumer good—one that encourages a one-dimensional “happy consciousness” that lacks the depth to support true social critique. In this view, religious individualism undercuts human emancipation. (shrink)

Friendship is prominently mentioned, to be sure, in the great books, including very often the great books in political philosophy. In addition to Aristotle, whose treatise on friendship remains unsurpassed as a philosophic examination of this exalted topic, we recall Cicero's great essay De Amicitia, Plato's Phaedrus, plus numerous references in The Republic, The Laws, The Symposium, and many other central dialogues. The Gospel of John contains the great tractate on friendship at the Last Supper just before the Trial of (...) Christ, an intellectual association between politics and friendship that is itself cause of the deepest human reflection. The topic of friendship is most familiar to Augustine and Aquinas and later to Montaigne and Francis Bacon. In short, if we moderns and post-moderns might perhaps have difficulty in associating the notions of friendship and political philosophy, our intellectual tradition did not. (shrink)

In Roman Catholic Political Philosophy author James V. Schall tries to demonstrate that Roman Catholicism and political philosophy—-revelation and reason—are not contradictory. It is his contention that political philosophy, the primary focus of the book, asks certain questions about human purpose and destiny that it cannot, by itself, answer. Revelation is the natural complement to these important questions about God, human being, and the world. Schall manages to avoid polemicism or triumphalism as he shows that revelation and political thought (...) contribute to a fuller understanding of each other. (shrink)

v. 1. Thucydides through Machiavelli.--v. 2. Machiavelli through Marx.--v. 3. Marx through Marcuse.

The optimal-pessimal paradox (Bradley, 1975) has been criticized on bizarre grounds by Childs (1980). Assumptions that it never made were attributed to it and attacked. Empirical evidence for its existence (which occupied a large portion of the criticized article) was totally ignored, and it was treated as a mere theoretically based conjecture. Originally proposed solutions to the problems it presents were dismissed and replaced by ineffectual alternatives. In spite of Childs’ claim that “the paradox, although theoretically sound, is grounded upon (...) assumptions that are empirically untenable,” the paradox makes no such assumptions and is an empirical fact. (shrink)

Background: Olfactory cues directly link the environment to gene expression. Two types of olfactory cues, food odors and social odors, alter genetically predisposed hormone-mediated activity in the mammalian brain. Methods: The honeybee is a model organism for understanding the epigenetic link from food odors and social odors to neural networks of the mammalian brain, which ultimately determine human behavior. Results: Pertinent aspects that extend the honeybee model to human behavior include bottom-up followed by top-down gene, cell, tissue, organ, organ-system, and (...) organism reciprocity; neurophysiological effects of food odors and of sexually dimorphic, species-specific social odors; a model of motor function required for social selection that precedes sexual selection; and hormonal effects that link current neuroscience to social science affects on the development of animal behavior. Conclusion: As the psychological influence of food odors and social orders is examined in detail, the socioaffective nature of olfactory cues on the biologically based development of sexual preferences across all species that sexually reproduce becomes clearer Keywords: behavior; development; evolution; odors; food; social; sexual; epigenetic; olfaction; pheromones; hormones; environment; animal; affect; effect; neuroscience (Published: 15 March 2012) Citation: Socioaffective Neuroscience & Psychology 2012, 2 : 17338 - DOI: 10.3402/snp.v2i0.17338. (shrink)

Annalisa Coliva (Int J Study Skept 10(3–4):346–366, 2020) asks, “Are there mathematical hinges?” I argue here, against Coliva’s own conclusion, that there are. I further claim that this affirmative answer allows a case to be made for taking the concept of a hinge to be a useful and general-purpose tool for studying mathematical practice in its real complexity. Seeing how Wittgenstein can, and why he would, countenance mathematical hinges additionally gives us a deeper understanding of some of his latest thoughts (...) on mathematics. For example, a view of how mathematical hinges relate to Wittgenstein’s well-known river-bed analogy enables us to see how his way of thinking about mathematics can account nicely for a “dynamics of change” within mathematical research—something his philosophy of mathematics has been accused of missing (e.g., by Robert Ackermann (Wittgenstein’s city, The University of Massachusetts Press, Amherst, 1988) and Mark Wilson (Wandering significance: an essay on conceptual behavior, Oxford University Press, Oxford, 2006). Finally, the perspective on mathematical hinges ultimately arrived at will be seen to provide us with illuminating examples of how our conceptual choices and theories can be ungrounded but nevertheless the right ones (in a sense to be explained). (shrink)

For Plato order was a normative concept and a metaconcept with regard to the soul, the city-state, the universe and the Forms. In this thesis I use Plato's conception of order as a perspective from which to study these four things. By so doing, I not only establish the role of order in Plato's thought, but present certain aspects of his thought in a new light and solve some old problems in a new way.

There has been much discussion as to what, in Republic X, Plato took to be the true nature of the soul. My justification for extending the discussion is the continued popularity of the view that the true soul is incomposite. What I add to the discussion is a different perspective, one which sheds new light on the problem. Commentators have paid little or no attention to the role that order plays in this issue. By giving order its due, it becomes (...) apparent not only that Plato was not stating that the true soul was incomposite, but also that, as he almost certainly realized, such a view would be inconsistent with other claims made in the dialogue. (shrink)

A quarter-century ago, during a period when belief in the robustness of classical tests on means was practically a professional shibboleth, a series of large, carefully controlled, and well-validated experiments and sampling studies (supplemented and supported by extensive mathematical derivations) dramatically showed that highly publicized claims of robustness were insufficiently qualified and that extreme nonrobustness could occur under perfectly reasonable experimental and testing conditions. When these findings were published in technical reports, they tended either to be ignored or to be (...) so misrepresented and distorted by those who cited them as to make them appear to support, rather than question, the very claims of robustness they tended to refute. Attempts to publish these iconoclastic results in many of the most renowned professional journals were met with rejection based upon reviewer comments so illogical or fatuous as to be interpreted only as an indication of either contrived obstructionism or pathetic professional incompetence. Eventual acceptance by a few refereed journals could, in every case, be interpreted as a political-type fluke. (shrink)

ExcerptSOCRATES: But if I come to my end because of a deficiency in flattering oratory, I know that you'd see me bear my death with ease. For no one who isn't totally bereft of reason and courage is afraid to die; doing what's unjust is what he's afraid of. For of all evils, the ultimate is that of arriving in Hades with one's soul stuffed full of unjust actions. Plato, Gorgias, 523d–e1 SOCRATES: Maybe you [Callicles] think this account [eschatological myth] (...) is told as an old wives' tale, and you feel contempt for it. And it…. (shrink)

ExcerptThe twelve contributors to this collection of essays are all themselves members of what might be called the “Telos Family.” Each writer gives us some account of his or her relation to the journal, its origins, its direction, and its future. Many have also known Paul Piccone, Telos's dynamic founder. Piccone's death in 2004, as well as the subsequent direction of the journal, is noted by most of the volume's contributors. Every writer indicates a fondness for the journal, its flair, (...) its scope, and its willingness to discuss things that are too often bypassed or rejected in the professional academic…. (shrink)

A Georgetown professor’s look at the subjects one needs to study for a truly well-rounded education. A Student’s Guide to Liberal Learning is an inviting conversation with a learned scholar about the content of an authentic liberal arts education. It surveys ideas and books central to the tradition of humanistic education that has fundamentally shaped our country and our civilization. This accessible volume argues for an order and integration of knowledge so that meaning might be restored to the haphazard approach (...) to study currently dominating higher education. Freshly conveying the excitement of learning from the acknowledged masters of intellectual life, this guide is also an excellent blueprint for building one’s own library of books that matter. (shrink)

Noting the widespread concern about the quality of education in our schools, Schall examines what is taught and read (and not read) in these schools. He questions the fundamental premises in our culture which do not allow truth to be considered. Schall lists various important books to read, and why.