A correction to this paper has been published: https://doi.org/10.1007/s10912-021-09698-y.

Contemporary health care often lacks generosity of spirit, even when treatment is most efficient. Too many patients are left unhappy with how they are treated, and too many medical professionals feel estranged from the calling that drew them to medicine. Arthur W. Frank tells the stories of ill people, doctors, and nurses who are restoring generosity to medicine--generosity toward others and to themselves. The Renewal of Generosity evokes medicine as the face-to-face encounter that comes before and after diagnostics, pharmaceuticals, (...) and surgeries. Frank calls upon the Roman emperor Marcus Aurelius, philosopher Emmanuel Levinas, and literary critic Mikhail Bakhtin to reflect on stories of ill people, doctors, and nurses who transform demoralized medicine into caring relationships. He presents their stories as a source of consolation for both ill and professional alike and as an impetus to changing medical systems. Frank shows how generosity is being renewed through dialogue that is more than the exchange of information. Dialogue is an ethic and an ideal for people on both sides of the medical encounter who want to offer more to those they meet and who want their own lives enriched in the process. The Renewal of Generosity views illness and medical work with grace and compassion, making an invaluable contribution to expanding our vision of suffering and healing. (shrink)

We obtain an equiconsistency for a weak form of universal indestructibility for strongness. The equiconsistency is relative to a cardinal weaker in consistency strength than a Woodin cardinal. Stewart Baldwin's notion of hyperstrong cardinal. We also briefly indicate how our methods are applicable to universal indestructibility for supercompactness and strong compactness.

One task of logic, Peirce held, is to classify arguments so as to determine the validity of each kind. His own classification is interesting because it includes a novel type of argument in addition to the two traditionally recognized types. It is the purpose of this paper to discuss what Peirce thought to be sufficiently distinctive about abduction to warrant calling it a new kind of argument. But since one finds in his writings on abduction a number of different views (...) it is first necessary to make a few remarks concerning the unity of Peirce's thought. (shrink)

Because statements like ‘This object is soluble in aqua regia’ involve the causal modalities, we call them causal dispositional statements. Now while this involvement has long been recognized, no thorough examination of its exact nature has ever been made. One purpose of this paper is to begin such an examination. In Sec. 2 we will suggest an analysis of causal dispositional statements, and in Sec. 3 we will discuss some philosophic issues to which this analysis is relevant.

If κ < λ are such that κ is indestructibly supercompact and λ is 2λ supercompact, it is known from [4] that {δ < κ | δ is a measurable cardinal which is not a limit of measurable cardinals and δ violates level by level equivalence between strong compactness and supercompactness}must be unbounded in κ. On the other hand, using a variant of the argument used to establish this fact, it is possible to prove that if κ < λ are (...) such that κ is indestructibly supercompact and λ is measurable, then {δ < κ | δ is a measurable cardinal which is not a limit of measurable cardinals and δ satisfies level by level equivalence between strong compactness and supercompactness}must be unbounded in κ. The two aforementioned phenomena, however, need not occur in a universe with an indestructibly supercompact cardinal and sufficiently few large cardinals. In particular, we show how to construct a model with an indestructibly supercompact cardinal κ in which if δ < κ is a measurable cardinal which is not a limit of measurable cardinals, then δ must satisfy level by level equivalence between strong compactness and supercompactness. We also, however, show how to construct a model with an indestructibly supercompact cardinal κ in which if δ < κ is a measurable cardinal which is not a limit of measurable cardinals, then δ must violate level by level equivalence between strong compactness and supercompactness. (shrink)

Can a supercompact cardinal κ be Laver indestructible when there is a level-by-level agreement between strong compactness and supercompactness? In this article, we show that if there is a sufficiently large cardinal above κ, then no, it cannot. Conversely, if one weakens the requirement either by demanding less indestructibility, such as requiring only indestructibility by stratified posets, or less level-by-level agreement, such as requiring it only on measure one sets, then yes, it can.

We show that the theories “ZFC \ There is a supercompact cardinal” and “ZFC \ There is a supercompact cardinal \ Level by level inequivalence between strong compactness and supercompactness holds” are equiconsistent.

Brian Garrett constructs cases satisfying Andy Hamilton’s definition of weak q‐memory. This does not establish that a peculiar kind of memory is at least conceptually coherent. Any ‘apparent memory experiences’ that satisfy the definition turn out not to involve remembering anything at all. This conclusion follows if we accept, as both Hamilton and Garrett do, a variety of first‐person authority according to which memory judgements may be false, but not on the ground that someone other than the remembering subject had (...) the remembered experience. Garrett’s brain‐bisection illustration sounds convincing, but only because we retain the idea that the subjects created by implanting a hemisphere each in two different bodies are entitled to say that they remember experiences before the surgery in the ordinary sense. To that extent the illustration presents a case of ordinary memory, not q‐memory. (shrink)

The literary criticism of the Greeks and Romans furnishes some of the most baffling documents which have come down to us from antiquity. Nor could it be otherwise. Few elements of language can be at once so ephemeral and so elusive as the overtones of words used in aesthetic contexts; even in our own language it is only with a conscious effort that the appropriate overtones of words used by quite recent critics can be recalled. Such recall must be much (...) more difficult where the reader is concerned with a dead language; in the case of some terms it may well be virtually impossible; but where the ancient critic is discussing ethical criteria for literature, as Aristotle does in Poetics 13, the modern interpreter is in a somewhat better position, for ethical terms are used in wider contexts, contexts which involve action, and there is more opportunity for studying their usage and endeavouring to recapture their elusive overtones. (shrink)

We force and construct a model in which level by level equivalence between strong compactness and supercompactness holds, along with certain additional combinatorial properties. In particular, in this model, ♦ δ holds for every regular uncountable cardinal δ, and below the least supercompact cardinal κ, □ δ holds on a stationary subset of κ. There are no restrictions in our model on the structure of the class of supercompact cardinals.

If κ < λ are such that κ is a strong cardinal whose strongness is indestructible under κ -strategically closed forcing and λ is weakly compact, then we show thatA = {δ < κ | δ is a non-weakly compact Mahlo cardinal which reflects stationary sets}must be unbounded in κ. This phenomenon, however, need not occur in a universe with relatively few large cardinals. In particular, we show how to construct a model where no cardinal is supercompact up to a (...) Mahlo cardinal in which the least supercompact cardinal κ is also the least strongly compact cardinal, κ 's strongness is indestructible under κ -strategically closed forcing, κ 's supercompactness is indestructible under κ -directed closed forcing not adding any new subsets of κ, and δ is Mahlo and reflects stationary sets iff δ is weakly compact. In this model, no strong cardinal δ < κ is indestructible under δ -strategically closed forcing. It therefore follows that it is relatively consistent for the least strong cardinal κ whose strongness is indestructible under κ -strategically closed forcing to be the same as the least supercompact cardinal, which also has its supercompactness indestructible under κ -directed closed forcing not adding any new subsets of κ. (shrink)

A question of Woodin asks if κ is strongly compact and GCH holds below κ, then must GCH hold everywhere? One variant of this question asks if κ is strongly compact and GCH fails at every regular cardinal δ < κ, then must GCH fail at some regular cardinal δ ≥ κ? Another variant asks if it is possible for GCH to fail at every limit cardinal less than or equal to a strongly compact cardinal κ. We get a negative (...) answer to the first of these questions and positive answers to the second of these questions for a supercompact cardinal κ in the context of the absence of the full Axiom of Choice. (shrink)

We show relative to strong hypotheses that patterns of compact cardinals in the universe, where a compact cardinal is one which is either strongly compact or supercompact, can be virtually arbitrary. Specifically, we prove if V “ZFC + Ω is the least inaccessible limit of measurable limits of supercompact cardinals + ƒ : Ω → 2 is a function”, then there is a partial ordering P V so that for , There is a proper class of compact cardinals + If (...) ƒ = 0, then the αth compact cardinal is not supercompact + If ƒ = 1, then the αth compact cardinal is supercompact”. We then prove a generalized version of this theorem assuming κ is a supercompact limit of supercompact cardinals and ƒ : κ → 2 is a function, and we derive as corollaries of the generalized version of the theorem the consistency of the least measurable limit of supercompact cardinals being the same as the least measurable limit of nonsupercompact strongly compact cardinals and the consistency of the least supercompact cardinal being a limit of strongly compact cardinals. (shrink)

1. Introduction. It is generally admitted that a large part of man's knowledge is based on inductive arguments. Hence any philosophical theory concerning the nature of inductive arguments constitutes an epistemological theory. Any such philosophical theory of induction must, if it is to be satisfactory, take adequate account of Hume's criticism of inductive arguments. One way of treating his criticism is to say that the validity of inductive arguments is in an important sense relative to some broad factual assumptions about (...) the general nature of the universe and that these general factual assumptions are presupposed in a certain way by the users of inductive arguments. Let us call any theory of this general type a postulate theory of induction. (shrink)

In my ideal academy of healing arts, students of all health-care professions would spend their first semester together, thinking only about suffering. No coursework on bodies, diseases, or basic science. No socialization into distinct professional identities. Just suffering from multiple perspectives: literary, philosophical, spiritual, historical, crosscultural. They would be led to ask what forms of suffering have been responded to in which ways, when, by whom. Whose suffering has been systematically ignored, and what finally led to the recognition of that (...) suffering? They would write about the unresolvable question of what aspects of suffering can be called universal, and what suffering might be local and... (shrink)

. From a proper class of supercompact cardinals, we force and obtain a model in which the proper classes of strongly compact and strong cardinals precisely coincide. In this model, it is the case that no strongly compact cardinal \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $\kappa$\end{document} is \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $2^\kappa = \kappa^+$\end{document} supercompact.

In this paper I synthesize a unified system out of Peirce's life work, and name it Peirce's Evolutionary Pragmatic Idealism. Peirce developed this philosophy in four stages: His 1868–69 theory that cognition is a continuous and infinite social semiotic process, in which Man is a sign. His Popular Science Monthly pragmatism and frequency theory of probabilistic induction. His 1891–93 cosmic evolutionism of Tychism, Synechism, and Agapism. Pragmaticism: The doctrine of real potentialities, and Peirce's pragmatic program for developing concrete reasonableness. Peirce's (...) evolutionary conception of the cosmos is pantheistic, and he constructed it to reconcile religion with Darwinian evolution. (shrink)

We show that for all natural numbers n, the theory “ZF + DC $_{\aleph_n}$ + $\aleph_{\omega}$ is a Rowbottom cardinal carrying a Rowbottom filter” has the same consistency strength as the theory “ZFC + There exists a measurable cardinal”. In addition, we show that the theory “ZF + $\aleph_{\omega_1}$ is an ω 2-Rowbottom cardinal carrying an ω 2-Rowbottom filter and ω 1 is regular” has the same consistency strength as the theory “ZFC + There exist ω 1 measurable cardinals”. We (...) also discuss some generalizations of these results. (shrink)

Narrative ethics holds that if you ask someone what goodness is, as a basis of action, most people will first appeal to various abstractions, each of which can be defined only by other abstractions that in turn require further definition. If you persist in asking what each of these abstractions actually means, eventually that person will have to tell you a story and expect you to recognize goodness in the story. Goodness and badness need stories to make them thinkable and (...) to translate them into individual and collective actions. Yet after more than two decades of considering the issue, I do not believe that a collection of stories can by itself guide actions in ways that are sufficient to respond to ethical troubles in institutional settings. The question will always remain open for me, but my present belief is that narrative bioethics is always hyphenated, in the sense that guidance from stories needs to be allied with other ethical guidance. Each side of the hyphen qualifies the other side. The hyphenation I will argue for in this essay is “narrative-deontology.”. (shrink)

Who's afflicted? Early in Nicole Piemonte's book Afflicted: How Vulnerability Can Heal Medical Education and Practice, she quotes an email from a physician whose voice sets the problem and tone. He describes himself as someone “who has intended well” but then “nearly burned out because of the insidious process of physician formation that left me a mess at the threshold of the suffering of other human beings.” His confessional manifesto regrets “the sad things I have seen and done.” His narrative (...) then turns to redemption: “I was—pardon the sentiment—loved back into a good medical practice as a form of growing wisdom and care” (pp. x–xi). Afflicted is written for those who hear this voice speaking for many others. (shrink)

We construct a variety of inner models exhibiting features usually obtained by forcing over universes with large cardinals. For example, if there is a supercompact cardinal, then there is an inner model with a Laver indestructible supercompact cardinal. If there is a supercompact cardinal, then there is an inner model with a supercompact cardinal κ for which 2κ = κ+, another for which 2κ = κ++ and another in which the least strongly compact cardinal is supercompact. If there is a (...) strongly compact cardinal, then there is an inner model with a strongly compact cardinal, for which the measurable cardinals are bounded below it and another inner model W with a strongly compact cardinal κ, such that \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${H^{V}_{\kappa^+} \subseteq {\rm HOD}^W}$$\end{document}. Similar facts hold for supercompact, measurable and strongly Ramsey cardinals. If a cardinal is supercompact up to a weakly iterable cardinal, then there is an inner model of the Proper Forcing Axiom and another inner model with a supercompact cardinal in which GCH + V = HOD holds. Under the same hypothesis, there is an inner model with level by level equivalence between strong compactness and supercompactness, and indeed, another in which there is level by level inequivalence between strong compactness and supercompactness. If a cardinal is strongly compact up to a weakly iterable cardinal, then there is an inner model in which the least measurable cardinal is strongly compact. If there is a weakly iterable limit δ of <δ-supercompact cardinals, then there is an inner model with a proper class of Laver-indestructible supercompact cardinals. We describe three general proof methods, which can be used to prove many similar results. (shrink)

Increasingly, medicine is used to remodel, revise, and revamp as much as to heal and mend. It is tempting to say that people make merely personal choices about these new uses. But such choices have implications for everybody, and they ought to be made cautiously, slowly, and in a way that opens them to discussion.

In At the Will of the Body , Arthur Frank told the story of his own illnesses, heart attack and cancer. That book ended by describing the existence of a "remission society," whose members all live with some form of illness or disability. The Wounded Storyteller is their collective portrait. Ill people are more than victims of disease or patients of medicine they are wounded storytellers. People tell stories to make sense of their suffering when they turn their diseases (...) into stories, they find healing. Drawing on the work of authors such as Oliver Sacks, Anatole Broyard, Norman Cousins, and Audre Lorde, as well as from people he met during the years he spent among different illness groups, Frank recounts a stirring collection of illness stories, ranging from the well-known--Gilda Radner's battle with ovarian cancer--to the private testimonials of people with cancer, chronic fatigue syndrome, and disabilties. Their stories are more than accounts of personal suffering: they abound with moral choices and point to a social ethic. Frank identifies three basic narratives of illness in restitution, chaos, and quest. Restitution narratives anticipate getting well again and give prominence to the technology of cure. In chaos narratives, illness seems to stretch on forever, with no respite or redeeming insights. Quest narratives are about finding that insight as illness is transformed into a means for the ill person to become someone new. (shrink)

We construct a model for the level by level equivalence between strong compactness and supercompactness in which below the least supercompact cardinal κ, there is a stationary set of cardinals on which SCH fails. In this model, the structure of the class of supercompact cardinals can be arbitrary.

We construct models for the level by level equivalence between strong compactness and supercompactness in which for κ the least supercompact cardinal and δ ≤ κ any cardinal which is either a strong cardinal or a measurable limit of strong cardinals, 2δ > δ+ and δ is < 2δ supercompact. In these models, the structure of the class of supercompact cardinals can be arbitrary, and the size of the power set of κ can essentially be made as large as desired. (...) This extends and generalizes [5, Theorem 2] and [4, Theorem 4]. We also sketch how our techniques can be used to establish a weak indestructibility result. (shrink)