The distinction between discovery and justification is ambiguous. This obscures the debate over a logic of discovery. For the debate presupposes the distinction. Real discoveries are well established. What is well established is justified. The proper distinctions are three: initial thinking, plausibility, and acceptability. Logic is not essential to initial thinking. We do not need good supporting reasons to initially think of an hypothesis. Initial thoughts need be neither plausible nor acceptable. Logic is essential, as Hanson noted, to both (...) plausibility and acceptability. An hypothesis needs good supporting reasons to be either plausible or acceptable. Such reasons need not be relative to the particular scientific theory undergoing test at the time. There is no fundamental difference between reasons relevant to plausibility and acceptability. The difference is one of degree. Acceptability requires more than plausibility. (shrink)

This third volume of Boston Studies in the Philosophy of Science contains papers which are based upon Colloquia from 1964 to 1966. In most cases, they have been substantially modified subsequent to presentation and discussion. Once again we publish work which goes beyond technical analysis of scientific theories and explanations in order to include philo sophical reflections upon the history of science and also upon the still problematic interactions between metaphysics and science. The philo sophical history of scientific ideas has (...) increasingly been recognized as part of the philosophy of science, and likewise the cultural context of the genesis of such ideas. There is no school or attitude to be taken as de fining the scope or criteria of our Colloquium, and so we seek to under stand both analytic and historical aspects of science. This volume, as the previous two, constitutes a substantial part of our final report to the U. S. National Science Foundation, which has continued its support of the Boston Colloquium for the Philosophy of Science by a grant to Boston University. That report will be concluded by a subse quent volume of these Studies. It is a pleasure to record our thanks to the Foundation for its confidence and funds. We dedicate this book to the memory of Norwood Russell Hanson. During this academic year of 1966-67, this beloved and distinguished American philosopher participated in our Colloquium, and he did so before. (shrink)

We have been discussing some of the fundamental features of the classical calculus of probability. The equiprobability of rival events was seen to be a major assumption of the calculus. Moreover, it is an assumption which the pure mathematician need not bother to justify. He need only present his formal system as follows.

Many thinkers believe that the next transformational change in human organisation will be the onset of human-level artificial intelligence, and that the most likely method of achieving this will come through brain emulations or "ems": the ability to scan human brains and program their connections into ever faster computers. Taking this as his starting point, Hanson describes what a world dominated by these ems will be like.

Many people accept, at least implicitly, what I call the asymmetry claim: the view that moral realism is more defensible than aesthetic realism. This article challenges the asymmetry claim. I argue that it is surprisingly hard to find points of contrast between the two domains that could justify their very different treatment with respect to realism. I consider five potentially promising ways to do this, and I argue that all of them fail. If I am right, those who accept the (...) asymmetry claim have a significant burden of proof. (shrink)

In the first section, I consider what several logicians say informally about the notion of logical consequence. There is significant variation among these accounts, they are sometimes poorly explained, and some of them are clearly at odds with the usual technical definition. In the second section, I first argue that a certain kind of informal account—one that includes elements of necessity, generality, and apriority—is approximately correct. Next I refine this account and consider several important questions about it, including the appropriate (...) characterization of necessity, the criterion for selecting logical constants, and the exact role of apriority. I argue, among other things, that there is no need to recognize a special logical sense of necessity and that the selection of terms to serve as logical constants is ultimately a pragmatic matter. In the third section, I consider whether the informal account I have presented and defended is adequately represented by the usual technical definition. I show that it is, and provably so, for certain limited ways of selecting logical constants. In the general case, however, there seems to be no way to be sure that the technical and informal accounts coincide. (shrink)

The field of neuroimaging has reached a watershed. Brain imaging research has been the source of many advances in cognitive neuroscience and cognitive science over the last decade, but recent critiques and emerging trends are raising foundational issues of methodology, measurement, and theory. Indeed, concerns over interpretation of brain maps have created serious controversies in social neuroscience, and, more important, point to a larger set of issues that lie at the heart of the entire brain mapping enterprise. In this volume, (...) leading scholars -- neuroimagers and philosophers of mind -- reexamine these central issues and explore current controversies that have arisen in cognitive science, cognitive neuroscience, computer science, and signal processing. The contributors address both statistical and dynamical analysis and modeling of neuroimaging data and interpretation, discussing localization, modularity, and neuroimagers' tacit assumptions about how these two phenomena are related; controversies over correlation of fMRI data and social attributions ; and the standard inferential design approach in neuroimaging. Finally, the contributors take a more philosophical perspective, considering the nature of measurement in brain imaging, and offer a framework for novel neuroimaging data structures. Contributors: William Bechtel, Bharat Biswal, Matthew Brett, Martin Bunzl, Max Coltheart, Karl J. Friston, Joy J. Geng, Clark Glymour, Kalanit Grill-Spector, Stephen José Hanson, Trevor Harley, Gilbert Harman, James V. Haxby, Rik N. Henson, Nancy Kanwisher, Colin Klein, Richard Loosemore, Sébastien Meriaux, Chris Mole, Jeanette A. Mumford, Russell A. Poldrack, Jean-Baptiste Poline, Richard C. Richardson, Alexis Roche, Adina L. Roskies, Pia Rotshtein, Rebecca Saxe, Philipp Sterzer, Bertrand Thirion, Edward Vul The hardcover edition does not include a dust jacket. (shrink)

It has become increasingly common for philosophers to make use of the concept of artistic value, and, further, to distinguish artistic value from aesthetic value. In a recent paper, ‘The Myth of (Non-Aesthetic) Artistic Value’, Dominic Lopes takes issue with this, presenting a kind of corrective to current philosophical practice regarding the use of the concept of artistic value. Here I am concerned to defend current practice against Lopes's attack. I argue that there is some unclarity as to what aspect (...) of this practice Lopes is objecting to, and I distinguish three kinds of objection that he could be read as making. I argue that none of these is adequately supported by Lopes's arguments, and that the corresponding three aspects of current philosophical practice are on firmer footing than Lopes's paper suggests. A new, plausible characterisation of artistic value will emerge from this discussion. (shrink)

What is addiction? Why do some people become addicted while others do not? Is the addict rational? In this book, Craig Hanson attempts to answer these questions and more. Using insights from the beginnings of philosophy to contemporary behavioral economics, Hanson attempts to assess the variety of ways in which we can and cannot, understand addiction. Special consideration is given to a challenging (and controversial) proposal dubbed "hyperbolic discounting." Hanson proposes some modifications to the hyperbolic discounting view (...) that permit it to explain not only addiction, but also a variety of psychological maladies, such as self-deception. (shrink)

Can artworks be morally good or bad? Many philosophers have thought so. Does this moral goodness or badness bear on how good or bad a work isas art?This is very much a live debate.Autonomistsargue that moral value is not relevant to artistic value;interactionistsargue that it is. In this paper, I argue that the debate between interactionists and autonomists has been conducted unfairly: all parties to the debate have tacitly accepted a set of constraints which prejudices the issue against the interactionist. (...) I identify two demands which are routinely placed on arguments seeking to establish interaction and argue that they are, in fact, mutually conflicting.There are two upshots. First, in light of this, it is unsurprising that arguments for interaction have failed to meet with everybody’s satisfaction. The constraints are such that no argument can meet them. Second, recognizing this helps us uncover a new, promising, but hitherto overlooked strategy for establishing artistic-ethical interaction. (shrink)

Debates over health care have focused for so long on economics that the proper goals for medicine seem to be taken for granted; yet problems in health care stem as much from a lack of agreement about the goals and priorities of medicine as from the way systems function. This book asks basic questions about the purposes and ends of medicine and shows that the answers have practical implications for future health care delivery, medical research, and the education of medical (...) students. The Hastings Center coordinated teams of physicians, nurses, public health experts, philosophers, theologians, politicians, health care administrators, social workers, and lawyers in fourteen countries to explore these issues. In this volume, they articulate four basic goals of medicine — prevention of disease, relief of suffering, care of the ill, and avoidance of premature death — and examine them in light of the cultural, political, and economic pressures under which medicine functions. In reporting these findings, the contributors touch on a wide range of diverse issues such as genetic technology, Chinese medicine, care of the elderly, and prevention and public health. The Goals of Medicine clearly demonstrates the importance of clarifying the purposes of medicine before attempting to change the economic and organizational systems. It warns that without such examination, any reform efforts may be fruitless. (shrink)

The growing prominence of computers in contemporary life, often seemingly with minds of their own, invites rethinking the question of moral responsibility. If the moral responsibility for an act lies with the subject that carried it out, it follows that different concepts of the subject generate different views of moral responsibility. Some recent theorists have argued that actions are produced by composite, fluid subjects understood as extended agencies (cyborgs, actor networks). This view of the subject contrasts with methodological individualism: the (...) idea that actions are produced only by human individuals. This essay compares two views of responsibility: moral individualism (the ethical twin of methodological individualism), and joint responsibility (associated with extended agency theory). It develops a view of what joint responsibility might look like, and considers the advantages it might bring relative to moral individualism as well as the objections that are sure to be raised against it. (shrink)

Connectionist models provide a promising alternative to the traditional computational approach that has for several decades dominated cognitive science and artificial intelligence, although the nature of connectionist models and their relation to symbol processing remains controversial. Connectionist models can be characterized by three general computational features: distinct layers of interconnected units, recursive rules for updating the strengths of the connections during learning, and “simple” homogeneous computing elements. Using just these three features one can construct surprisingly elegant and powerful models of (...) memory, perception, motor control, categorization, and reasoning. What makes the connectionist approach unique is not its variety of representational possibilities or its departure from explicit rule-based models, or even its preoccupation with the brain metaphor. Rather, it is that connectionist models can be used to explore systematically the complex interaction between learning and representation, as we try to demonstrate through the analysis of several large networks. (shrink)

It is common to distinguish between attributive and predicative goodness. There are good reasons to think that artistic value is a kind of attributive goodness. Surprisingly, however, much debate in philosophical aesthetics has proceeded as though artistic value is a kind of predicative goodness. As I shall argue, recognising that artistic value is attributive goodness has important consequences for a number of debates in aesthetics.

There is a substantial literature on evolutionary debunking arguments (EDAs) in metaethics. According to these arguments, evolutionary explanations of our moral beliefs pose a significant problem for moral realism, specifically by committing the realist to an unattractive pessimism about the prospects of our having moral knowledge. In this paper, I argue that EDAs exploit an equivocation between two distinct readings of their central claim. One is plausibly true but has no epistemic relevance, and the other would have epistemic consequences for (...) realism, but is false. If I'm right, this undermines attempts to use evolutionary explanations to debunk belief in other domains too. (shrink)

Generic language (e.g., “tigers have stripes”) leads children to assume that the referenced category (e.g., tigers) is inductively informative and provides a causal explanation for the behavior of individual members. In two preregistered studies with 4- to 7-year-old children (N = 497), we considered the mechanisms underlying these effects by testing how correcting generics might affect the development of these beliefs about novel social and animal kinds (Study 1) and about gender (Study 2). Correcting generics by narrowing their scope to (...) a single individual limited beliefs that the referenced categories could explain what their members would be like while broadening the scope to a superordinate category (Study 2) uniquely limited endorsement of gender norms. Across both studies, correcting generics did not alter beliefs about feature heritability and had mixed effects on inductive inferences, suggesting that additional mechanisms (e.g., causal reasoning about shared features) contribute to the development of full-blown essentialist beliefs. These results help illuminate the mechanisms by which generics lead children to view categories as having rich inductive and causal potential; in particular, they suggest that children interpret generics as signals that speakers in their community view the referenced categories as meaningful kinds that support generalization. The findings also point the way to concrete suggestions for how adults can effectively correct problematic generics (e.g., gender stereotypes) that children may hear in daily life. (shrink)

The pace of scientific progress may be hindered by the tendency of our academic institutions to reward being popular rather than being right. A market-based alternative, where scientists can more formally 'stake their reputation', is presented here. It offers clear incentives to be careful and honest while contributing to a visible, self-consistent consensus on controversial scientific questions. In addition, it allows patrons to choose questions to be researched without choosing people or methods. The bulk of this paper is spent in (...) examining potential problems with the proposed approach. After this examination, the idea still seems to be plausible and worthy of further study. (shrink)

We investigate questions involving Aronszajn trees, square principles, and stationary reflection. We first consider two strengthenings of introduced by Brodsky and Rinot for the purpose of constructing κ‐Souslin trees. Answering a question of Rinot, we prove that the weaker of these strengthenings is compatible with stationary reflection at κ but the stronger is not. We then prove that, if μ is a singular cardinal, implies the existence of a special ‐tree with a cf(μ)‐ascent path, thus answering a question of Lücke.

Among scientific realists and anti-realists, there is a well-known, perennial dispute about the reality and knowability of unobservable objects. This dispute is also present among structural realists, who all agree that science gives us genuine knowledge of structure at the unobservable level (however that structure may be understood). Ontic structural realists reduce or eliminate the ontological role of objects, while epistemic structural realists argue that objects do or might exist but are unknowable. In part because ontic structural realism has some (...) evidence from quantum mechanics and the consequent underdetermination of the metaphysics of objects in its favor, the majority of contemporary structural realists adopt that view. In contrast, I argue that epistemic structural realism is a highly compelling view, particularly in the form that remains agnostic about unobservable objects. This view can remain consistent with the empirical data from quantum mechanics, can give a satisfactory account of the metaphysics of structure, and can distinguish itself from other extant versions of realism. I provide two arguments in favor of agnosticism about objects, the first of which argues that suspending belief is consistent with the impetus of naturalized metaphysics, and the second of which argues that agnosticism about objects is a rational response to reflection on the limits and aims of science. Thus, I show that agnostic epistemic structural realism is a defensible and compelling view in the philosophy of science that demands more attention in the literature. (shrink)

The Acquaintance Principle has been the subject of extensive debate in philosophical aesthetics. In one of the most recent developments, it has become popular to claim that some works of conceptual art are counterexamples to it. It is further claimed that this is a genuinely new problem in the sense that it is a problem even for versions of the Acquaintance Principle modified to deal with previous objections. I argue that this is essentially correct; however, the claim as it stands (...) needs some work. I draw attention to, and defend, two assumptions on which the claim rests but which have so far gone unrecognized. I also address an objection that has recently been made to the claim and threatens to raise further complications for it. In doing this, we arrive at a fuller, more robust version of the initial claim. (shrink)

This article argues that teaching medical and nursing students health care ethics in an interdisciplinary setting is beneficial for them. Doing so produces an education that is theoretically more consistent with the goals of health care ethics, can help to reduce moral stress and burnout, and can improve patient care. Based on a literature review, theoretical arguments and individual observation, this article will show that the benefits of interdisciplinary education, specifically in ethics, outweigh the difficulties many schools may have in (...) developing such courses. (shrink)

Humanity seems to have a bright future, i.e., a non-trivial chance of expanding to fill the universe with lasting life. But the fact that space near us seems dead now tells us that any given piece of dead matter faces an astronomically low chance of begating such a future. There thus exists a great filter between death and expanding lasting life, and humanity faces the ominous question: how far along this filter are we?

Attempts to model interstellar colonization may seem hopelessly compromised by uncertainties regarding the technologies and preferences of advanced civilizations. If light speed limits travel speeds, however, then a selection effect may eventually determine frontier behavior. Making weak assumptions about colonization technology, we use this selection effect to predict colonists’ behavior, including which oases they colonize, how long they stay there, how many seeds they then launch, how fast and far those seeds fly, and how behavior changes with increasing congestion. This (...) colonization model explains several astrophysical puzzles, predicting lone oases like ours, amid large quiet regions with vast unused resources. (shrink)

This article studies seriously actualistic quantified modal logics. A key component of the language is an abstraction operator by means of which predicates can be created out of complex formulas. This facilitates proof of a uniform substitution theorem: if a sentence is logically true, then any sentence that results from substituting a predicate abstract for each occurrence of a simple predicate abstract is also logically true. This solves a problem identified by Kripke early in the modern semantic study of quantified (...) modal logic. A tableau proof system is presented and proved sound and complete with respect to logical truth. The main focus is on seriously actualistic T, an extension of T, but the results established hold also for systems based on other propositional modal logics. Following Menzel it is shown that the formal language studied also supports an actualistic account of truth simpliciter. (shrink)

Response to ’African vital force and the permissibility of euthanasia’ Lougheed’s discussion of vital force in metaphysics in African thought and its implications for euthanasia is not only of interest for African philosophy, but also for bioethics within and outside of Africa. A debate exists as to whether or not there is, or should be, a uniquely African bioethics,1 but equally worthwhile is using the insights of African philosophy to develop bioethics generally speaking, whether African, Western or all-inclusive. The inclusion (...) of African philosophical thought into Western bioethical thought can expand the useful application of bioethical theories outside of the largely Western conceptual areas they now employ and can help resolve some of the challenges that Western bioethics has addressing justice and the moral value of community and family connections. However, the argument that vital force/vitalism is always incompatible with voluntary active euthanasia is an unhelpful inclusion of African thought into bioethics. The concern is not that Lougheed is mistaken; vitalism, understood as treating life as having the highest value, probably does make physician aid in dying by active euthanasia (or assisted suicide) always impermissible. The problem is that this is well-trodden ground in Western bioethics, which has been …. (shrink)

There is, to all appearances, a philosophic hostility to fashionable dress. Studying this contempt, this paper examines likely sources in philosophy's suspicion of change; anxiety about surfaces and the inessential; failures in the face of death; and the philosophic disdain for, denial of, the human body and human passivity. If there are feminist concerns about fashion, they should be radically different from those of traditional philosophy. Whatever our ineluctable worries about desire and death, whatever our appropriate anger and impatience with (...) the merely superficial, whatever our genuine need to mark off the serious from the trivial, feminism may be a corrective therapy for philosophy's bad humor and self-deception, as these manifest themselves when the subject turns to beautiful clothes. (shrink)

What if we someday learn how to model small brain units, and so can "upload" ourselves into new computer brains? What if this happens before we learn how to make human-level artificial intelligences? The result could be a sharp transition to an upload-dominated world, with many dramatic consequences. In particular, fast and cheap replication may once again make Darwinian evolution of human values a powerful force in human history. With evolved values, most uploads would value life even when life is (...) hard or short, uploads would reproduce quickly, and wages would fall. But total wealth should rise, so we could all do better by accepting uploads, or at worse taxing them, rather than trying to delay or segregate them. (shrink)

Viale introduced covering matrices in his proof that SCH follows from PFA. In the course of the proof and subsequent work with Sharon, he isolated two reflection principles, CP and S, which, under certain circumstances, are satisfied by all covering matrices of a certain shape. Using square sequences, we construct covering matrices for which CP and S fail. This leads naturally to an investigation of square principles intermediate between □κ and □ for a regular cardinal κ. We provide a detailed (...) picture of the implications between these square principles. (shrink)

The current studies (N = 255, children ages 4–5 and adults) explore patterns of age‐related continuity and change in conceptual representations of social role categories (e.g., “scientist”). In Study 1, young children's judgments of category membership were shaped by both category labels and category‐normative traits, and the two were dissociable, indicating that even young children's conceptual representations for some social categories have a “dual character.” In Study 2, when labels and traits were contrasted, adults and children based their category‐based induction (...) decisions on category‐normative traits rather than labels. Study 3 confirmed that children reason based on category‐normative traits because they view them as an obligatory part of category membership. In contrast, adults in this study viewed the category‐normative traits as informative on their own (not only as a cue to obligations). Implications for continuity and change in representations of social role categories will be discussed. (shrink)

We continue our study of strongly unbounded colorings, this time focusing on subadditive maps. In Part I of this series, we showed that, for many pairs of infinite cardinals $\theta < \kappa $, the existence of a strongly unbounded coloring $c:[\kappa ]^2 \rightarrow \theta $ is a theorem of $\textsf{ZFC}$. Adding the requirement of subadditivity to a strongly unbounded coloring is a significant strengthening, though, and here we see that in many cases the existence of a subadditive strongly unbounded coloring (...) $c:[\kappa ]^2 \rightarrow \theta $ is independent of $\textsf{ZFC}$. We connect the existence of subadditive strongly unbounded colorings with a number of other infinitary combinatorial principles, including the narrow system property, the existence of $\kappa $ -Aronszajn trees with ascent paths, and square principles. In particular, we show that the existence of a closed, subadditive, strongly unbounded coloring $c:[\kappa ]^2 \rightarrow \theta $ is equivalent to a certain weak indexed square principle $\boxminus ^{\operatorname {\mathrm {ind}}}(\kappa, \theta )$. We conclude the paper with an application to the failure of the infinite productivity of $\kappa $ -stationarily layered posets, answering a question of Cox. (shrink)

Humans have slowly built more productive societies by slowly acquiring various kinds of capital, and by carefully matching them to each other. Because disruptions can disturb this careful matching, and discourage social coordination, large disruptions can cause a “social collapse,” i.e., a reduction in productivity out of proportion to the disruption. For many types of disasters, severity seems to follow a power law distribution. For some of types, such as wars and earthquakes, most of the expected harm is predicted to (...) occur in extreme events, which kill most people on Earth. So if we are willing to worry about any war or earthquake, we should worry especially about extreme versions. If individuals varied little in their resistance to such disruptions, events a little stronger than extreme ones would eliminate humanity, and our only hope would be to prevent such events. If individuals vary a lot in their resistance, however, then it may pay to increase the variance in such resistance, such as by creating special sanctuaries from which the few remaining humans could rebuild society. (shrink)

In standard belief models, priors are always common knowledge. This prevents such models from representing agents’ probabilistic beliefs about the origins of their priors. By embedding standard models in a larger standard model, however, pre-priors can describe such beliefs. When an agent’s prior and pre-prior are mutually consistent, he must believe that his prior would only have been different in situations where relevant event chances were different, but that variations in other agents’ priors are otherwise completely unrelated to which events (...) are how likely. Due to this, Bayesians who agree enough about the origins of their priors must have the same priors. (shrink)

1. The philosophical version of the primary-secondary distinction concerns (a) the 'real' properties of matter, (b) the epistemology of sensation, and (c) a contrast challenged by Berkely as illusory. The scientific version of the primary-secondary distinction concerns (a') the physical properties of matter, (b') a contrast essential within the history of atomism, and (c') a contrast challenged by 20th century microphysics as de facto untenable. 2. The primary-secondary distinction within physics can be interpreted in two ways: a. it can refer (...) to content; e.g. 'Matter has the properties of mass, shape, density... etc. -- it only appears to have the properties of warmth, fragrance, etc.' Or, b. it can refer to form; e.g. 'Whatever properties our best theories accord to primary matter, e.g., electrons, these are by definition primary. All other properties of, e.g., macromatter, are derivative.' Concerning 2.a., this interpretation is simply false when 17th, 18th, or 19th century values for the property-variables are introduced. Concerning 2.b., this either uninformative or misleading. It is uninformative when it constitutes no more than a decision to use the word 'primary' as an umbrella-word for all the properties contemporary micro-physics accords to fundamental material particles, whatever these may be. It is misleading when it turns on an implicit contrast between certain properties particles may be said to have when 'harnessed' to a detector, and certain other properties these particles have when free and unharnessed to any detector. This contrast does not exist. Quantum-theoretic information is always about particles-and-their-detectors-in-combination. Dissolve this combination and you destroy any possible knowledge of the particle. Hence the notion of 'completely objectifiable properties of particles' is in principle unsound. (shrink)

Human behavior regarding medicine seems strange; assumptions and models that seem workable in other areas seem less so in medicine. Perhaps we need to rethink the basics. Toward this end, I have collected many puzzling stylized facts about behavior regarding medicine, and have sought a small number of simple assumptions which might together account for as many puzzles as possible.

The biotechnology industry's intellectual property claims contribute to a subtle but not insignificant encroachment of commodification within health care. Drawing on the conceptual framework of Margaret Jane Radin, I argue that patent claims on human biological materials may commodify that with which our personhood and individuality is intertwined but that such commodification is broad and incomplete. Patents on nonhuman biological organisms contribute to a more materialistic understanding of them but do not significantly change our relationship to them. The systemic effects (...) of biotechnology's commodification within health care are various and may compromise the goal of good health. The morally problematic aspects of patent claims entail certain obligations to inhibit commodification from becoming more egregious, but on balance, those aspects are currently insufficient to justify denying the benefits the patent system promotes. (shrink)

Motivated by a characterization of weakly compact cardinals due to Todorcevic, we introduce a new cardinal characteristic, the C-sequence number, which can be seen as a measure of the compactness of a regular uncountable cardinal. We prove a number of ZFC and independence results about the C-sequence number and its relationship with large cardinals, stationary reflection, and square principles. We then introduce and study the more general C-sequence spectrum and uncover some tight connections between the C-sequence spectrum and the strong (...) coloring principle U(. . .), introduced in Part I of this series. (shrink)

We explore approximate categoricity in the context of distortion systems, introduced in our previous paper (Hanson in Math Logic Q 69(4):482–507, 2023), which are a mild generalization of perturbation systems, introduced by Yaacov (J Math Logic 08(02):225–249, 2008). We extend Ben Yaacov’s Ryll-Nardzewski style characterization of separably approximately categorical theories from the context of perturbation systems to that of distortion systems. We also make progress towards an analog of Morley’s theorem for inseparable approximate categoricity, showing that if there is (...) some uncountable cardinal $$\kappa $$ such that every model of size $$\kappa $$ is ‘approximately saturated,’ in the appropriate sense, then the same is true for all uncountable cardinalities. Finally we present some examples of these phenomena and highlight an apparent interaction between ordinary separable categoricity and inseparable approximate categoricity. (shrink)

This essay deals with the medical recipe as an epistemic genre that played an important role in the cross-cultural transmission of knowledge. The article first compares the development of the recipe as a textual form in Chinese and European premodern medical cultures. It then focuses on the use of recipes in the transmission of Chinese pharmacology to Europe in the second half of the seventeenth century. The main sources examined are the Chinese medicinal formulas translated—presumably—by the Jesuit Michael Boym and (...) published in Specimen Medicinae Sinicae (1682), a text that introduced Chinese pulse medicine to Europe. The article examines how the translator rendered the Chinese formulas into Latin for a European audience. Arguably, the translation was facilitated by the fact that the recipe as a distinct epistemic genre had developed, with strong parallels, in both Europe and China. Building on these parallels, the translator used the recipe as a shared textual format that would allow the transfer of knowledge between the two medical cultures. (shrink)

Given common priors, no agent can publicly estimate a non-zero sign for the difference between his estimate and another agent’s future estimate. Thus rational agents cannot publicly anticipate the direction in which other agents will disagree with them.  2002 Elsevier Science B.V. All rights reserved.

In practice, scoring rules elicit good probability estimates from individuals, while betting markets elicit good consensus estimates from groups. Market scoring rules combine these features, eliciting estimates from individuals or groups, with groups costing no more than individuals. Regarding a bet on one event given another event, only logarithmic versions preserve the probability of the given event. Logarithmic versions also preserve the conditional probabilities of other events, and so preserve conditional independence relations. Given logarithmic rules that elicit relative probabilities of (...) base event pairs, it costs no more to elicit estimates on all combinations of these base events. (shrink)

Engineers’ love of technology often gets in the way of their being useful. Consider Post-it Notes or, better yet, plain paper notepads. These probably seemed like trivial ideas, but they turned out to be terribly useful. Why? Because the marvel that is the human brain has a horrible short-term memory, which means that dumb-as-dirt memory aids can make people substantially smarter.

Consider two agents who want to be Bayesians with a common prior, but who cannot due to computational limitations. If these agents agree that their estimates are consistent with certain easy-to-compute consistency constraints, then they can agree to disagree about any random variable only if they also agree to disagree, to a similar degree and in a stronger sense, about an average error. Yet average error is a state-independent random variable, and one agent's estimate of it is also agreed to (...) be state-independent. Thus suggests that disagreements are not fundamentally due to differing information about the state of the world. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Elizabeth Hanson-Smith AUGUSTINE'S CONFESSIONS: THE CONCRETE REFERENT The chief problem facing critics who would consider the Confessions as both a literary work and a philosophical treatise remains the connection between the first nine books, the autobiography, and the last four, the metaphysical speculations on time, eternity, epistemology, and theology. A persistent desire to justify the work as an aesthetic whole has led critics on a search for thematic (...) and structural unity; they have been more successful in the former endeavor than in the latter. The interpretation of the work's plot as a peregrinatio animae, a pilgrimage of the soul, is now generally accepted as definitive; but attempts to find structural unity within that broad outline have not progressed beyond Marrou's characterization of the work as a "musical composition."1 His analogy to music has not been anchored to any concrete structural features of the Confessions and does not illuminate the connections between its content and its form. I shall attempt to prove that a unified structural model for the development of the soul in the Confessions does indeed exist and is outlined in Augustine's earlier discursive work, the De quantitate animae.2 The seven degrees or steps (gradus) of the soul's ascent to God, as sketched in the De quantitate, are deliberately fleshed out and translated into a mimetic, narrative version in the Confessions. Placing the two works side by side gives us a unique opportunity to examine a typically medieval literary form, the educative journey, in its relationship to its philosophical premises. Such a study reveals the inner formal unity of the literary work and, further, provides us with significant evidence for a re-examination of Augustine's Neo-Platonism, his supposed dualism, and his influence on later works, both literary and philosophical. In the Confessions we see one of the earliest Christian blendings of several models: first, the educative journey, the archetypal pattern familiar from the Odyssey, the Aeneid, and even The Golden Ass of Apuleius. Augustine's version, like later medieval cosmologies, also 176 Elizabeth Hanson-Smith1 77 includes a vision of the cosmic order and its relationship to human order, elements of significance in pagan philosophical works such as the Timaeus and the Dream of Scipio. But Augustine's journey also depends upon the Judeo-Christian conception of history as a series of figurae or types of the Messiah: the protagonist of the Christian educative journey joins thefigurae of the Biblical past. Christ's incarnation as Mansoul and his life on earth are the pattern of universal history from Fall to Apocalypse; Christ's life becomes a figurative pattern for the actions of Everyman.3 The Confessions is one of the earliest Christian works to apply this pattern in a narrative context. Augustine was also preoccupied with the Hexaemeron, the six days of creation and the seventh of rest. He views the exegesis of Genesis as an explanation of all subsequent life; the Ages of Man recapitulate the days of creation, as do the sacraments and the seven steps in the ascent of the soul. Thus, to the figurative pattern of Christ's "pilgrimage" from creating Logos to Incarnate God and finally to judge at the Second Coming, Augustine applies the schematic seven-fold ascent found in the De quantitate: the soul passes through the ascending steps of animation, sense, art, religion, tranquillity, initiation, and contemplation—each of which is figured by or patterned on a stage in Christ's life, as represented by the sacraments, and each of which, further, reflects a segment of universal history. The seven steps are not simply the movement of the individual soul, but the progress of Mansoul on its journey to Apocalypse. The stylistic differences between the two works—one an exposition written as Socratic dialogue, the other a metaphorical personal narrative —will no doubt give rise to differing interpretations; but one may, I think, object to certain details I suggest while still agreeing that the De quantitate provides the structuring model. Let me first define the major areas of difference between the two works. In the De quantitate, each of the levels or steps of the soul takes on a discrete, separate... (shrink)

Mystery and Imagination is intended to bridge the dangerous gap between the professional theologian and the ordinary Christian, to meet some of the misapprehensions and criticisms of Christianity current today, and to give positive aid to those who are not afraid to think about their faith. It is theology for those who are disillusioned but not hopeless. Through a lively discussion of some of the main themes of Christian belief--the concept of man, faith, atonement, the incarnation, revelation in history, tragedy--Professor (...) Hanson presents an account of the Christian faith which is constructive without being uncritical. In particular, his book will help those who are groping towards Christian belief, but who find unacceptable the form in which Christianity is conventionally presented. -Publisher. (shrink)

Arthur Diamond comments that "it is not clear how a donor distributes money through Hanson's market". Let me try again to be clear. Imagine David Levy were to seek funding for the regression he suggests in his comments, on the relative impact of sports versus science spending on aggregate productivity. Consider what might happen under three different funding institutions.

Russell Hanson discovers in the history of democratic rhetoric in the United States a series of essential contests" over the meaning of democracy that have occurred in periods of political and socio-economic change. Originally published in 1985. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The (...) goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. (shrink)

We give a formalism for approximate isomorphism in continuous logic simultaneously generalizing those of two papers by Ben Yaacov [2] and by Ben Yaacov, Doucha, Nies, and Tsankov [6], which are largely incompatible. With this we explicitly exhibit Scott sentences for the perturbation systems of the former paper, such as the Banach‐Mazur distance and the Lipschitz distance between metric spaces. Our formalism is simultaneously characterized syntactically by a mild generalization of perturbation systems and semantically by certain elementary classes of two‐sorted (...) structures that witness approximate isomorphism. As an application, we show that the theory of any ‐tree or ultrametric space of finite radius is stable, improving a result of Carlisle and Henson [8]. (shrink)

I agree fully that a “clearer picture of how vulnerability might manifest and how it can be accommodated, ideally without resorting to mere exclusion from research, is needed” (Friesen et al. 2023,...

: In Engelhardt's secular bioethics, moral obligations derive from contracts and agreements between rational persons, and no infants or children and few adolescents meet Engelhardt's requirements for being a rational person. This is a problem, as one cannot have any direct secular moral obligations toward nonpersons such as infants and adolescents. The Engelhardtian concepts of ownership, indenture, and social personhood, which are meant to allow the theory to accommodate children and adolescents adequately, fail to give an Engelhardtian any actual means (...) of determining the right action to take in difficult cases, even on his or her own terms. Thus, the theory is incapable of determining the morally correct action to take in cases involving children and therefore is unhelpful in dealing with moral questions involving children. (shrink)