Since the work of Gödel and Cohen, which showed that Hilbert's First Problem was independent of the usual assumptions of mathematics, there have been a myriad of independence results in many areas of mathematics. These results have led to the systematic study of several combinatorial principles that have proven effective at settling many of the important independent statements. Among the most prominent of these are the principles diamond and square discovered by Jensen. Simultaneously, attempts have been made to find suitable (...) natural strengthenings of ZFC, primarily by Large Cardinal or Reflection Axioms. These two directions have tension between them in that Jensen's principles, which tend to suggest a rather rigid mathematical universe, are at odds with reflection properties. A third development was the discovery by Shelah of "PCF Theory", a generalization of cardinal arithmetic that is largely determined inside ZFC. In this paper we consider interactions between these three theories in the context of singular cardinals, focusing on the various implications between square and scales, and on consistency results between relatively strong forms of square and stationary set reflection. (shrink)

Since the work of Gödel and Cohen, which showed that Hilbert's First Problem was independent of the usual assumptions of mathematics, there have been a myriad of independence results in many areas of mathematics. These results have led to the systematic study of several combinatorial principles that have proven effective at settling many of the important independent statements. Among the most prominent of these are the principles diamond and square discovered by Jensen. Simultaneously, attempts have been made to find suitable (...) natural strengthenings of ZFC, primarily by Large Cardinal or Reflection Axioms. These two directions have tension between them in that Jensen's principles, which tend to suggest a rather rigid mathematical universe, are at odds with reflection properties. A third development was the discovery by Shelah of "PCF Theory", a generalization of cardinal arithmetic that is largely determined inside ZFC. In this paper we consider interactions between these three theories in the context of singular cardinals, focusing on the various implications between square and scales, and on consistency results between relatively strong forms of square and stationary set reflection. (shrink)

It is obvious that ♦ implies the existence of an antichain of stationary sets of cardinality which is the largest possible cardinality. We show that the obvious antichain is not maximal and find a less obvious extension of it by ℵ2 more stationary sets.

We start by studying the relationship between two invariants isolated by Shelah, the sets of good and approachable points. As part of our study of these invariants, we prove a form of “singular cardinal compactness” for Jensen's square principle. We then study the relationship between internally approachable and tight structures, which parallels to a certain extent the relationship between good and approachable points. In particular we characterise the tight structures in terms of PCF theory and use our characterisation to prove (...) some covering results for tight structures, along with some results on tightness and stationary reflection. Finally, we prove some absoluteness theorems in PCF theory, deduce a covering theorem, and apply that theorem to the study of precipitous ideals. (shrink)

Three central combinatorial properties in set theory are the tree property, the approachability property and stationary reflection. We prove the mutual independence of these properties by showing that any of their eight Boolean combinations can be forced to hold at${\kappa ^{ + + }}$, assuming that$\kappa = {\kappa ^{ < \kappa }}$and there is a weakly compact cardinal aboveκ.If in additionκis supercompact then we can forceκto be${\aleph _\omega }$in the extension. The proofs combine the techniques of adding and then destroying (...) a nonreflecting stationary set or a${\kappa ^{ + + }}$-Souslin tree, variants of Mitchell’s forcing to obtain the tree property, together with the Prikry-collapse poset for turning a large cardinal into${\aleph _\omega }$. (shrink)

We give upper and lower bounds for the consistency strength of the failure of a combinatorial principle introduced by Jensen. "Square on singular cardinals".

MEDIEVAL LOGICS LAMBERT MARIE DE RIJK (ed.), Die mittelalterlichen Traktate De mod0 opponendiet respondendi, Einleitung und Ausgabe der einschlagigen Texte. (Beitrage zur Geschichte der Philosophie und Theologie des Mittelalters, Neue Folge Band 17.) Miinster: Aschendorff, 1980. 379 pp. No price stated. THE SEVENTEENTH CENTURY MARTA FATTORI, Lessico del Novum Organum di Francesco Bacone. Rome: Edizioni dell'Ateneo 1980. Two volumes, il + 543, 520 pp. Lire 65.000. VIVIAN SALMON, The study of language in 17th century England. (Amsterdam Studies in the Theory (...) and History of Linguistic Science, Series 111: Studies in theHistory of Linguistics, Volume 17.) Amsterdam: John Benjamins B.V., 1979.x + 218 pp. Dfl. 65. Theoria cum Praxi. Zum Verhaltnis von Theorie und Praxis im 17. und 18. Jahrhundert. (Akten des 111. Internationalen Leibnizkongress, Hannover, 12. bis 17.November 1977, Band 111: Logik, Erkenntnistheorie, Wissenschaftstheorie, Metaphysik, Theologie.) Wiesbaden: Franz Steiner Verlag, 1980. vii + 269 pp. DM 48. CLASSICAL AND NON-CLASSICAL LOGICS MICHAEL CLARK, The place of syllogistic in logical theory. Nottingham: University of Nottingham Press, 1980. ix + 151 pp. £3.00. A.F. PARKER-RHODES, The theory of indistinguishables. Dordrecht, Boston and London: D. Reidel Publishing Company, 1981. xvii + 216 pp. Dfl.90.00/$39.50. NICHOLAS RESCHER and ROBERT BRANDOM, The logic of inconsistency. Oxford:Basil Blackwell, 1980. x + 174 pp. f 11.50. MISCELLANEOUS J. ZELENY, The logic of Marx. Translated from the German by T. Carver. Oxford: Basil Blackwell, 1980. xcii + 247 pp. £12.50. FELIX KAUFMANN, The infinite in mathematics. Edited by Brian McGuinness. Introduction by E. Nagel. Translation from the German by Paul Foulkes. Dordrecht: Reidel, 1978. xvii + 235 pp. Dfl 85/$39.50 (cloth); Dfl 45/$19.95 (paper). PAMELA MCCORDUCK, Machines who think. San Francisco: W.H. Freeman and Company, 1979. xiv + 275 pp. $14.95. J. MITTELSTRASS (ed.), Enzyklopadie Philosophie und Wissenschaftstheorie Bd. 1 : A-G. Mannheim, Wien, Ziirich: Bibliographisches Institut, 1980. 835 pp. DM 128. (shrink)

We attempt to make a connection between the sequences of measures used to define Radin forcing and the coherent sequences of extenders which are the basis of modern inner model theory. We show that in certain circumstances we can read off sequences of measures as defined by Radin from coherent sequences of extenders, and that we can define Radin forcing directly from a coherent extender sequence and a sequence of ordinals; this generalises Mitchell's construction of Radin forcing from a coherent (...) sequence of measures. (shrink)

We force and construct a model in which level by level equivalence between strong compactness and supercompactness holds, along with a strong form of diamond and a version of square consistent with supercompactness. This generalises a result due to the first author. There are no restrictions in our model on the structure of the class of supercompact cardinals.

We prove some results related to the problem of blowing up the power set of the least measurable cardinal. Our forcing results improve those of [1] by using the optimal hypothesis.

Variabilism is the view that proper names (like pronouns) are semantically represented as variables. Referential names, like referential pronouns, are assigned their referents by a contextual variable assignment (Kaplan 1989). The reference parameter (like the world of evaluation) may also be shifted by operators in the representation language. Indeed verbs that create hyperintensional contexts, like ‘think’, are treated as operators that simultaneously shift the world and assignment parameters. By contrast, metaphysical modal operators shift the world of assessment only. Names, being (...) variables, refer rigidly in the latter merely intensional contexts, but may vary their reference in hyperintensional contexts. This conforms to the intuition that the content of attitude ascriptions encapsulates referential uncertainty. Furthermore, names in hyperintensional contexts are ambiguous between de re* and de dicto* interpretations. This fact is used to account for asymmetric mistaken identity attributions (for example, Biron thinks Katherine is Rosaline, but he doesn’t think Rosaline is Katherine). -/- The variable theory compares favourably with its alternatives, including Millianism and descriptivism. Millians cannot account for the behaviour of names in hyperintensional contexts, while descriptivists cannot generate a necessary contrast between intensional and hyperintensional contexts. No other theory can capture the facts pertaining to the existentially bound use of names. (shrink)

One of the great American pragmatic philosophers alongside Peirce and Dewey, William James (1842–1910) delivered these eight lectures in Boston and New York in the winter of 1906–7. Though he credits Peirce with coining the term 'pragmatism', James highlights in his subtitle that this 'new name' describes a philosophical temperament as old as Socrates. The pragmatic approach, he says, takes a middle way between rationalism's airy principles and empiricism's hard facts. James' pragmatism is both a method of (...) interpreting ideas by their practical consequences and an epistemology which identifies truths according to their useful outcomes. Furnished with many examples, the lectures illustrate pragmatism's response to classic problems such as the question of free will versus determinism. Published in 1907, this work further develops James's approach to religion and morality, introduced in The Will to Believe (1897) and The Varieties of Religious Experience (1902), both reissued in this series. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:The Inner Citadel. The Meditations of Marcus AureliusJames KerPierre Hadot. The Inner Citadel. The Meditations of Marcus Aurelius. Translated by Michael Chase. Cambridge: Harvard University Press, 1998. Pp. xii + 351. Cloth, $45.00Marcus Aurelius has sometimes been viewed as a Stoic "half-way to Platonism," so overawed by the brevity of human life within the infinite procession of eternity that he "almost lost faith in his own existence" (J. (...) M. Rist). Hadot's book, however, in this excellent English translation (first published as La Citadelle Intérieure: Introduction aux "Pensées" de Marc Aurèle, Paris, 1992), argues not only that the Meditations are thoroughly Stoic in their doctrine, but that to call Marcus a Platonist (or a pessimist) is to misinterpret the techniques by which he seeks to live a Stoic life. For Hadot it is the teachings of the philosopher-slave Epictetus that explain the Meditations, and the bulk of the book is concerned with demonstrating that Marcus's writings are spiritual exercises by which the author seeks to instill in himself three basic Epictetan disciplines corresponding to the tripartite Stoic system of logic, physics, and ethics. Readers of Hadot's other works will already recognize his concern with the ancient conception of philosophy as a way of life [3]. This study aims to show how Marcus's self-therapy relates to specific elements of Stoic doctrine and to redefine our understanding of the Meditations as a literary work.The book begins by tracing Marcus's initiation into the philosophic life, with special emphasis on the role of statesman-philosopher Junius Rusticus, who introduced Marcus to the writings of his influential teacher, Epictetus. In Chapter Two Hadot approaches the text which we refer to as the Meditations and argues that they are better referred to as Marcus's "personal notes" (hypomnêmata): their characteristic features (discontinuity, repetition, self-address, and refined literary form) are due to their being the product of day-by-day exercises in which Marcus, focussed upon the definitiveness of the present moment, strove to keep the essential rules of life ever present in his mind. Marcus's constant repetition of familiar doctrine indicates that for him "the [End Page 116] essential thing was not to invent or to compose, but to influence himself and produce an effect upon himself" (244).Hadot is at pains in Chapter Three, however, to reveal that these exercises derive from the "highly rigorous conceptual system" which he calls "the true key to the Meditations," namely, a set of three dogmas that require (a) the regulation of judgment to assent only to what is objectively true; (b) the restriction of the desires to that which is in accordance with universal Nature and Destiny; and (c) the disciplining of one's impulse toward action to be just and altruistic, in agreement with one's human nature. According to Hadot, this systematic distinction between the disciplines of judgement, desire, and impulse, and the three dogmas on which they depend, is "a doctrine which is peculiar to Epictetus and which is not found in Stoicism prior to him" (70). Marcus, then, in organizing his spiritual exercises around these three disciplines, "was working with pre-existing materials" (52). Thus Chapter Five is dedicated entirely to explaining how the practical disciplines of judgment, desire, and impulse to action, which Hadot argues correspond respectively to logic, physics, and ethics, operate within "the Stoicism of Epictetus."There is a certain apparent tension generated by Hadot's argument concerning the Stoicism of Epictetus. Although he depicts him as a distinctive innovator, Hadot also states that Epictetus does not change the system of Zeno and Chrysippus but simply adds "color and tonality" (73)—a statement that allows him to classify both Epictetus and Marcus as authentic Stoics but thereby risks undermining his argument about Epictetus's distinctiveness. This real ambiguity could be explained by reference to the emphasis on originality in Stoicism, in which the embodiment of philosophy in each new Stoic establishes him as an independent authority. (As Seneca says to Lucilius, "Zeno said this. But what do you say?" Epistulae Morales 33.7.) Indeed Hadot illustrates how didactic procedures in particular were... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Adam Smith Reconsidered: History, Liberty, and the Foundations of Modern Politics by Paul SagarJames A. HarrisPaul Sagar. Adam Smith Reconsidered: History, Liberty, and the Foundations of Modern Politics. Princeton, NJ: Princeton University Press, 2022. Pp. xii + 229. Hardback, $37.00.Paul Sagar's invigorating book is a reconsideration of Adam Smith in the sense that it challenges much that is received wisdom in current scholarship. First and foremost, it rejects (...) the idea that Smith was preeminently a moral philosopher concerned with the threat to civic virtue posed by commercial society, and yet intent on giving commercial society a moral vindication nevertheless. Sagar—rightly, in my view—wants us to recognize Smith as having been a political thinker. Too much work on Smith still assumes that there is not much to say [End Page 323] about his political thought because he regarded all but the most minimal government as an obstacle to the proper functioning of markets. Smith is supposed to be a "classical liberal" bent on preserving as much natural liberty as possible in the face of government's relentless overextension of its powers of regulation. In Adam Smith's Politics: An Essay in Historiographic Revision (Cambridge: Cambridge University Press, 1978), Donald Winch rejected that approach to Smith in favor of a portrait of the author of The Theory of Moral Sentiments and The Wealth of Nations as an eighteenth-century thinker with an eighteenth-century thinker's concerns. Sagar's project is quite different. This is a book on Smith's political thought that does not once deploy the term 'Whig.' Sagar's Smith does not wholly float free of his historical situation—the questions he addresses are those posed by the end of feudalism and the advent of modernity—but situating him in the particular circumstances of Britain in the age of revolutions is not Sagar's concern. As Sagar sees it, the fundamental issues addressed by Smith's political thought concern the distinctive form taken by commercial society in the modern era. Smith, according to Sagar, held that all advanced societies are commercial societies. Commercial society as such needed no vindication. The question, rather, was what kind of commercial society a modern state wanted to be. That was a political question insofar as it was a question about the kind of freedom that mattered and about the kind of institutions needed to make that freedom a reality.Defined in maximally general terms, freedom for Smith was the absence of domination, where domination is understood as a lack of security in respect of one's physical safety and possessions. The condition of the poor and powerless had always been one of subjection to the will of the rich and powerful. What changed that, according to Smith, was implementation of the rule of law. This is in itself not a new reading of Smith, but what distinguishes Sagar's version of it is the care with which he examines both the place of the rule of law in Smith's historical account of the emergence of liberty in modern Europe and the precise nature of the connection between the rule of law and freedom. First, on Sagar's view, there needed to be a comprehensive picture of domination and slavery, which had been the normal condition of almost everyone for almost all of human history. Then there needed to be an explanation of how it was that, at one particular historical moment, domination was slowly but surely challenged by the emergence of law and law courts considered as independent of political power. In England, this was the story of the common law and of judges who held office for life, rather than at the pleasure of traditional possessors of power. It was the story of security in property, of the backing of property by law, and it was a largely urban story, of burghers who managed to enlist monarchs on their side in the battle against the barons. It was, in other words, in large part a medieval story, and one consequence is that there was more to say about the rise of liberty in the modern age than that it was caused inadvertently by... (shrink)

One of the most influential men of his time, philosopher, psychologist, educator, and author William James (1842-1910) helped lead the transition from a predominantly European-centered nineteenth-century philosophy to a new "pragmatic" American philosophy. Helping to pave the way was his seminal book Pragmatism (1907), in which he included a chapter on "Truth," an essay which provoked severe criticism. In response, he wrote the present work, an attempt to bring together all he had ever written on the theory of knowledge, (...) including an article on the function of cognition, later polemic and expository contributions, and some replies to previous criticism. The result was a full and definitive expression of the pragmatist "epistemology" from James' point of view. In the book, he urges the reader to "turn away from abstractions, verbal solutions, fixed principles, and pretended absolutes and look for concreteness and facts, action and power," arguing that "the ultimate test for us of what a truth means is the conduct it dictates or inspires." For students, scholars--anyone interested in William James or the history of American philosophical thought--this book offers an in-depth exposition of the influential ideas of one of the greatest American thinkers. Unabridged republication of the edition originally published by Longmans, Green and Co., New York and London, 1909. (shrink)

The Netherne Hospital in Surrey is perhaps the most prestigious site in the history of British art therapy, associated with the key figures Edward Adamson and Eric Cunningham Dax, whose pioneering work involved the setting-up of a large studio for psychiatric patients to create expressive paintings. What is little-known, however, is the work of the designated scientist for psychiatric research, Hungarian Jewish émigré Francis Reitman, who was charged with an overall scientific analysis of the artistic products of the studio. Schooled (...) in the biological psychiatric tradition of Ladislas J. Meduna in Budapest prior to his exile to the Maudsley Hospital in 1938 – and committed to treatments such as leucotomy and electro-convulsive therapy (ECT) – Reitman was an unusual candidate for research into the unconscious processes behind art and psychosis. Yet he authored two highly popular and widely reviewed books on his analyses of the abundant artistic output created by patients with schizophrenic diagnoses at the Netherne. In his Psychotic Art (1950) and Insanity, Art and Culture (1954), Reitman compared such schizophrenic images with those produced by artists under the influence of mescaline and examined the artistic output of patients having undergone leucotomy. This article draws on archival materials and Reitman’s original research publications in order to reconstruct his theory of schizophrenic art within the complex context of postwar British psychiatry, negotiating as he did between biologically reductive understandings of Freudian and Jungian psychoanalytic categories, and ultimately synthesizing concepts from both. It also analyses Reitman’s implicit theory of the therapeutic mechanism of art in the treatment of psychiatric patients. (shrink)

This paper explores the type of stakeholder engagement currently being undertaken by many organisations as part of social and ethical accounting, auditing and reporting (SEAAR) processes. Specifically, the paper seeks to determine the extent to which current corporate practice iteratively promotes stakeholder participation in collaboratively designing accountability programmes, or whether it merely is a new term for canvassing stakeholder opinions. Arnstein’s Ladder of Citizen Participation is used as a conceptual model for positioning contemporary methods of stakeholder dialogue. The findings from (...) interviews with representatives from twenty‐nine UK and transnational organisations actively engaged in stakeholder dialogue are presented. This paper concludes that contemporary organisations seem to be seeking to engage with stakeholders in partnerships, yet their attempts still fall short of what Arnstein called Citizen Control, the level of achievement that non‐governmental organisations would like stakeholder engagement to attain. (shrink)

Wait, what? I've been fired?” I repeated, in the middle of morning rounds in the neonatal intensive care unit. Finally, the nurse who was taking care of our patient, Angela, responded, “Her parents fired you last night. They've already called Patient Relations. They want a new doctor.” My heart sank. Only days into my block of service time as the attending physician in the NICU and I was fired, axed, canned, rejected by a family. How could this have happened? On (...) my first day of service, I had introduced myself to Angela's parents, and I had then met with them daily to review results and the plan and to answer their questions. I thought we had connected well. I thought I had done everything right. I thought they trusted me to care for their daughter. (shrink)

Protein‐carbohydrate interactions have been found to be important in many steps in lymphocyte recirculation and inflammatory responses. A family of carbohydrate‐binding proteins or lectins, termed selectins, has been discovered and shown to be involved directly in these processes. The three known selectins, termed L‐, E‐ and P‐selectins, have domains homologous to other Ca2+‐dependent (C‐type) lectins. L‐selectin is expressed constitutively on lymphocytes, E‐selectin is expressed by activated endothelial cells, and P‐selectin is expressed by activated platelets and endothelial cells. Here, we (...) class='Hi'>review the nature of the carbohydrate determinants in tissues recognized by these selectins. The expression of specific sialylated, fucosylated and sulfated carbohydrates in activated endothelium and high endothelial venules promotes interactions with L‐selectin on leukocyte surfaces. In contrast, E‐ and P‐selectins recognize specific carbohydrate determinants related to sialyl Lex antigen on neutrophil and monocyte surfaces. The discovery of the selectins has generated excitemient among glycoconjugate researchers that other carbohydrate‐binding proteins and their cognate ligands will be found to function in regulating many types of cellular interactions. (shrink)

The Scottish Common Sense School of philosophy emerged during the Scottish Enlightenment of the second half of the eighteenth century. The School’s principal proponents were Thomas Reid, James Oswald, James Beattie and Dugald Stewart. They believed that we are all naturally implanted with an array of common sense intuitions and these intuitions are in fact the foundation of truth. Their approach dominated philosophical thought in Great Britain and the United States until the mid nineteenth century. In recent years (...) philosophers have renewed their appreciation of the notion of common sense. In particular, discussions of common sense intuitions are integral to contemporary epistemological foundationalism. Scottish Common Sense Philosophy: Sources and Origins is a 5-volume collection of writings by and about philosophers in the eighteenth-century Scottish Common Sense School. The writings by Thomas Reid and Dugald Stewart are readily available in recent editions and facsimile reprints so this series focuses on less accessible and less well-known items. Oswald’s Appeal appears here in print for the first time in any form since 1772. Volume 2 is the first reset printing of Beattie’s Essay in over 100 years, and is the only edition to contain annotations that trace the major changes that he made to the text. Almost all of the responses in volumes 3 and 4 appear here in print for the first time since their original publication. These include reviews, pamphlets and excerpts from books. Also included is previously unpublished discussion of Beattie’s Essay by Dugald Stewart. The final volume is a bibliography of around 80 Scottish philosophers from the early eighteenth century to the close of the nineteenth century. Unlike the 1932 bibliography of Scottish philosophers offered by T. E. Jessop, which selectively presents only the philosophical writings by the various Scottish philosophers, this volume attempts to catalogue all of the writings by these philosophers in all of their editions. (shrink)

'IRS' is our term for the logical empiricist idea that the best way to understand the epistemic bearing of observational evidence on scientific theories is to model it in terms of Inferential Relations among Sentences representing the evidence, and sentences representing hypotheses the evidence is used to evaluate. Developing ideas from our earlier work, including 'Saving the Phenomena'(Phil Review 97, 1988, p.303-52 )we argue that the bearing of observational evidence on theory depends upon causal connections and error characteristics of (...) the processes by which data is produced and used to detect features of phenomena. Neither of these depends upon, or is greatly illuminated by a consideration of, formal relations among observation and theoretical sentences or propositions. By taking causal structures and error characteristics, you too can evade the IRS. In doing so, you can gain insight into Hempel’s raven paradox, theory loading, and other issues from the standard philosophical literature on confirmation theory. (shrink)

In 2004 Edouard Machery, Ron Mallon, Shaun Nichols and Stephen Stich published what has become one of the most widely discussed papers in experimental philosophy, in which they reported that East Asian and Western participants had different intuitions about the semantic reference of proper names. A flurry of criticisms of their work has emerged, and although various replications have been performed, many critics remain unconvinced. We review the current debate over Machery et al.’s (2004) results and take note of (...) which objections to their work have been satisfactorily answered and which ones still need to be addressed. We then report the results of studies that reveal significant cross-cultural and intra-cultural differences in semantic intuitions when we control for variables that critics allege have had a potentially distorting effect on Machery et al.’s findings. These variables include the epistemic perspective from which participants are supposed to understand the research materials, unintended anchoring effects of those materials, and pragmatic factors involved in the interpretation of speech acts within them. Our results confirm the robustness of the cross-cultural differences observed by Machery et al. and thereby strengthen the philosophical challenge they pose. (shrink)