Brendle, J., H. Judah and S. Shelah, Combinatorial properties of Hechler forcing, Annals of Pure and Applied Logic 59 185–199. Using a notion of rank for Hechler forcing we show: assuming ωV1 = ωL1, there is no real in V[d] which is eventually different from the reals in L[ d], where d is Hechler over V; adding one Hechler real makes the invariants on the left-hand side of Cichoń's diagram equal ω1 and those on (...) the right-hand side equal 2ω and produces a maximal almost disjoint family of subsets of ω of size ω1; there is no perfect set of random reals over V in V[ r][ d], where r is random over V and d Hechler over V[r], thus answering a question of the first and second authors. (shrink)

We define a σ-ideal J D on the set of functions ω ω with the property that a real x ∈ ω ω is a Hechler real over V if and only if x omits all Borel sets in J D . In fact we define a topology D on ω ω related to Hechler forcing such that J D is the family of first category sets in D. We study cardinal invariants of the ideal J D.

We prove the following version of Hechler's classical theorem: For each partially ordered set (Q, ≤) with the property that every countable subset of Q has a strict upper bound in Q, there is a ccc forcing notion such that in the generic extension for each tall analytic P-ideal J (coded in the ground model) a cofinal subset of (J, ⊆*) is order isomorphic to (Q, ≤).

We prove the following theorem: For a partially ordered set Q such that every countable subset of Q has a strict upper bound, there is a forcing notion satisfying the countable chain condition such that, in the forcing extension, there is a basis of the null ideal of the real line which is order-isomorphic to Q with respect to set-inclusion. This is a variation of Hechler’s classical result in the theory of forcing. The corresponding theorem for (...) the meager ideal was established by Bartoszyński and Kada. (shrink)

We prove that the covering number of the Marczewski ideal is equal to ℵ1 in the extension with the iteration of Hechler forcing.

We give a proof of Hechler's theorem that any \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $\aleph_1$\end{document}-directed partial order can be embedded via a ccc forcing notion cofinally into \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $\omega^\omega$\end{document} ordered by eventual dominance. The proof relies on the standard forcing relation rather than the variant introduced by Hechler.

An ℵ1-Souslin tree is a complicated combinatorial object whose existence cannot be decided on the grounds of ZFC alone. But fifteen years after Tennenbaum and Jech independently devised notions of forcing for introducing such a tree, Shelah proved that already the simplest forcing notion—Cohen forcing—adds an ℵ1-Souslin tree. In this article, we identify a rather large class of notions of forcing that, assuming a GCH-type hypothesis, add a λ+-Souslin tree. This class includes Prikry, Magidor, and Radin (...) forcing. (shrink)

It is shown that cardinals below a real-valued measurable cardinal can be split into finitely many intervals so that the powers of cardinals from the same interval are the same. This generalizes a theorem of Prikry [9]. Suppose that the forcing with a κ-complete ideal over κ is isomorphic to the forcing of λ-Cohen or random reals. Then for some τ<κ, λτ2κ and λ2<κ implies that 2κ=2τ= cov. In particular, if 2κ<κ+ω, then λ=2κ. This answers a question from (...) [3]. If A0, A1,..., An,… are sets of reals, then there are disjoint sets B0, B1,..., Bn,… such that BnAn and μ*=μ* for every n<ω, where μ* is the Lebes gue outer measure. For finitely many sets the result is due to N. Lusin. Let be a σ-centered forcing notion and An ¦n<ω subsets of P witnessing this. If P, An's and the relation of compatibility are Borel, then P adds a Cohen real. The forcing with a κ-complete ideal over a set X, ¦X¦κ cannot be isomorphic to a Hechler real forcing. This result was claimed in [3], but the proof given there works only for X of cardinality κ. (shrink)

We extend some results of Adam Kolany to show that large sets of satisfiable sentences generally contain equally large subsets of mutually consistent sentences. In particular, this is always true for sets of uncountable cofinality, and remains true for sets of denumerable cofinality if we put appropriate bounding conditions on the sentences. The results apply to both the propositional and the predicate calculus. To obtain these results, we use delta sets for regular cardinals, and, for singular cardinals, a generalization of (...) delta sets. All of our results are theorems in ZFC. (shrink)

We argue that general social psychological mechanisms can account for prosocial behavior and cooperative norms without the need for punishing Big Gods. Moreover, prosocial religions often do not prevent conflict within their religious groups. Hence, we doubt whether Big Gods and prosocial religions are more effective than alternative identities in enhancing high-level cooperation.

Self-Interest before Adam Smith inquires into the foundations of economic theory. It is generally assumed that the birth of modern economic science, marked by the publication of The Wealth of Nations in 1776, was the triumph of the 'selfish hypothesis'. Yet, as a neo-Epicurean idea, this hypothesis had been a matter of controversy for over a century and Smith opposed it from a neo-Stoic point of view. But how can the Epicurean principles of orthodox economic theory be reconciled with the (...) Stoic principles of Adam Smith's philosophy? Pierre Force shows how Smith's theory refutes the 'selfish hypothesis' and integrates it at the same time. He also explains how Smith appropriated Rousseau's 'republican' critique of modern commercial society, and makes the case that the autonomy of economic science is an unintended consequence of Smith's 'republican' principles. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:166 HUME'S INTEREST IN NEWTON AND SCIENCE Many writers have been forced to examine — in their treatments of Hume's knowledge of and acquaintance with scientific theories of his day — the related questions of Hume's knowledge of and acquaintance with Isaac Newton and of the nature and extent of Newtonian influences upon Hume's thinking. Most have concluded that — in some sense — Hume was acquainted with and (...) influenced by Newton's thought in particular and scientific thought in general. The genesis of this paper is the recent point of view put forward by Peter Jones which challenges the many permutations of this almost ritualistic standard line by removing Hume entirely from the Newtonian and the scientific scenes of thought. Jones argues that Hume knew less about Newton and science, and needed to know less about Newton and 2 science, than he believes is required by the above interpretation. Indeed, Jones argues that Hume's fundamental assumptions, which, according to Jones, derive ultimately from a form of Ciceronian humanism, drive a "wedge" between Newton's thought and that of 3 Hume. Even Hume's introductory remarks in the Treatise about his universal "science of man" are, for Jones, a declaration of independence from the materialistic trend (as Jones sees it) of Newtonian 4 science and not, as so many commentators have maintained — however tenuously or strongly evidence for linkage of Hume's project with Newtonian or scientific thought. Jones baldly argues that Hume totally lacked interest in science in general and in Newton and Newtonian science in particular. Following J. H. Burton's observation that Hume's work is surprisingly free from the "opinions" of contemporary scientists, 167 Jones states there is no evidence that Hume ever studied science at the University of Edinburgh or that he "pursued" scientific studies of any formal sort. Regarding Newtonian scientific thought, he emphasizes the paucity of specifically Newtonian scientific textbooks in the early eighteenth century 7 which might have been available for Hume to study and argues that nowhere in Hume's writings is there evidence of precise and detailed knowledge of Newton's science beyond what is available in Q Chamber's Cyclopaedia. Jones acknowledges that, in the Introduction to the Treatise, Hume utilizes a "general version" of Newton's "Regulae Philosophandi" from the beginning of Book III of Newton's Principia. Nevertheless, in Jones' view, Hume's fundamentally humanistic orientation separates him completely from g any Newtonian influence. Finally, according to Jones, Hume does not betray the least bit of knowledge of Newton's mathematics and its role in Newton's experimental methodology. On this evidence Jones grounds his central claim of Hume's "total lack of interest in contemporary science." What references there are to Newton and to science in Hume's works Jones finds "traceable to essentially literary predecessors such as Fontenelle or Montesquieu, or to standard works of theologians ] 2 or free-thinkers." The absence of clearly direct references to what Jones feels are scientific works results both from Hume's "total lack of interest in science" and from his commitment to a form of Ciceronian humanism which is "inimical" to what Jones finds to be the obvious materialistic tendencies of 13 science in the early modern period. Jones' account of the Ciceronian and French contexts of Hume's thought is excellent. But his claim that Hume had no interest whatsoever in science 168 is simply too strong and finally forces us to view science in Hume's day as equivalent to science in our own time, a manifestly anachronistic point of view. Throughout this paper, my argument will be conditioned by my view that Hume's interest in science cannot be separated from his epistemology or his religious scepticism. Hume's interest in science was precisely that of a man of letters of the eighteenth century vitally engaged in determining the proper use of scientific methodology in establishing the limits of the secular science of man once it has 14 been freed from the fetters of theology. Hume's interest in theological and epistemological issues inevitably gave rise to a strong interest on his part in the science of his day and in Newton's contributions... (shrink)

This article revisits what has often been called the of Voltaire's historical work. It looks at the methodological and philosophical reasons for Voltaire's deliberate focus on modern history as opposed to ancient history, his refusal to in judging the past, and his extreme selectiveness in determining the relevance of past events to world history. Voltaire's historical practice is put in the context of the quarrel of the ancients and the moderns, and considered in a tradition of universal history going back (...) to Bossuet and leading up to nineteenth-century German historicism. Paradoxically, Voltaire is a major figure in the history of historiography not in spite of his presentism (as Ernst Cassirer and Peter Gay have argued), but because of it. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Montaigne and the Coherence of EclecticismPierre ForceSince the publication of Pierre Hadot's essays on ancient philosophy by Arnold Davidson in 1995,2 Michel Foucault's late work on "the care of the self"3 has appeared in a new light. We now know that Hadot's work was familiar to Foucault as early as the 1950s.4 It is also clear that Foucault's notion of "techniques of the self" is very close to what (...) Hadot calls "spiritual exercises." At the same time, there are important differences between the views of these two philosophers, and Hadot has often expressed his regret that Foucault's untimely death prevented them from exploring these differences.5 One important point of disagreement was the status of eclecticism. In Foucault's interpretation of ancient philosophy, the "constitution of the self" implied a personal choice among disparate philosophical references: "Writing as a personal exercise done by the self and for the self, is an art of disparate truth."6 In a 1989 article Hadot argued from a historical point of view that, so far as Stoicism and Epicureanism were concerned, [End Page 523] eclecticism had no place in a mature practice of philosophy. Foucault's favorite example, Seneca's Letters to Lucilius, in which Stoic arguments were invoked along with Epicurean arguments, was a work for beginners. In a mature practice of Stoicism, one would stick to the arguments of the Stoic school, choose them for their coherence, and instead of trying to forge a spiritual identity for oneself through writing, one would "liberate oneself from one's individuality in order to raise oneself up to universality."7 Hadot added that "it is only in the New Academy—in the person of Cicero, for instance—that a personal choice is made according to what reason considers as most likely at a given moment."8 This discussion of Foucault may give the impression that Hadot was somewhat dismissive of eclecticism. Yet in a 2001 interview Hadot claimed that he had always admired Cicero's intellectual independence, and he proposed a reappraisal "of an attitude that has always had a bad reputation: eclecticism."9Something very similar is a stake in the work of Alexander Nehamas, as Lanier Anderson and Joshua Landy showed in their study of his Art of Living. In the conception of philosophy as a "way of life" (Hadot) or "care of the self" (Foucault) or "self-fashioning" (Nehamas), a central issue is the relationship between theoretical coherence and the coherence of the person who theorizes. Elaborating on Nehamas's chapter on Montaigne, Anderson and Landy argue that there is a move in Montaigne away from doctrinal coherence and towards a coherence of the self. As they put it, "the harmonious whole Montaigne commends [... ] is not a coherent body of fact or theory; it is the unified self of the theorizer."10 Anderson and Landy show that this brings up all kinds of difficulties: can this unified self be other than a fiction? If that is the case, how can philosophy be a way of life? Nehamas's answer is very much in the spirit of the late Foucault: there is a coherence of the self in Montaigne, and this coherence is the product of writing as a philosophical activity. The self is fashioned through writing.Because Montaigne writes in the ancient tradition of philosophy as a way of life, one may recall Hadot's suggestion that Foucault's notion of [End Page 524] "writing the self" is an intriguing but historically inaccurate description of ancient philosophical practice. But perhaps Hadot agrees with Foucault after all, since in his most recent interviews, he speaks favorably of eclecticism, a notion that is central to Foucault's analysis of self-fashioning through writing. The case of Montaigne is particularly interesting for these purposes, not only because the Essays seem to be the prototypical example of "writing the self," but also because eclecticism is both discussed and practiced throughout the Essays. I propose to take a fresh look at this issue by investigating the status of eclecticism in Montaigne's Essays. This must start with an examination of the philosophical tradition most closely associated with... (shrink)

The French philosopher and intellectual historian Pierre Hadot (1922-2010) is known primarily for his conception of philosophy as spiritual exercise, which was an essential reference for the later Foucault. An aspect of his work that has received less attention is a set of methodological reflections on intellectual history and on the relationship between philosophy and history. Hadot was trained initially as a philosopher and was interested in existentialism as well as in the convergence between philosophy and poetry. Yet he chose (...) to become a historian of philosophy and produced extensive philological work on neo-Platonism and ancient philosophy in general. He found a philosophical rationale for this shift in his encounter with Wittgenstein's philosophy in the mid-1950s (Hadot was one of Wittgenstein's earliest French readers and interpreters). For Hadot, ancient philosophy must be understood as a series of language games, and each language game must be situated within the concrete conditions in which it happened. The reference to Wittgenstein therefore supports a strongly contextualist and historicist stance. It also supports its exact opposite: presentist appropriations of ancient texts are entirely legitimate, and they are the only way ancient philosophy can be existentially meaningful to us. Hadot addresses the contradiction by embracing it fully and claiming that his own practice aims at a coincidence of opposites (a concept borrowed from the Heraclitean tradition). For Hadot the fullest and truest way of doing philosophy is to be a philosopher and a historian at the same time. (shrink)

Taking Pascal's appropriation of Montaigne as its main example, this article asks what it means to "say something new" in the sixteenth and seventeenth centuries. It argues that literary and philosophical innovation is best understood in reference to the rhetorical tradition, and it analyzes what "saying something new" means in terms of inventio, dispositio, elocutio, decorum, and ethos. Close attention is also paid to the relationship between economy and equity (in the rhetorical sense of these terms). For Pascal and Montaigne, (...) the "new" is desirable not for its own sake, but rather as an exercise for the soul. (shrink)

Dick Popkin and James Force have attended a number of recent conferences where it was apparent that much new and important research was being done in the fields of interpreting Newton's and Spinoza's contributions as biblical scholars and of the relationship between their biblical scholarship and other aspects of their particular philosophies. This collection represents the best current research in this area. It stands alone as the only work to bring together the best current work on these topics. Its primary (...) audience is specialised scholars of the thought of Newton and Spinoza as well as historians of the philosophical ideas of the late seventeenth and early eighteenth centuries. (shrink)

A CLOSE READING OF HUME’S ESSAY, "OF MIRACLES", REVEALS THAT HUME SPECIFICALLY AIMS HIS SCEPTICAL ARGUMENT AT THE PROOF OF CHRISTIAN REVELATION VIA FULFILLED PROPHETIC PREDICTIONS AS WELL AS AT MIRACLES. JOHNSON IS UNAWARE OF THIS FACT AND SO I CONCLUDE THAT HE HIMSELF HAD NOT READ THE ESSAY CLOSELY, THAT HE PROBABLY ONLY KNEW THE GENERAL OUTLINES OF THE ARGUMENT AT SECOND HAND THROUGH BOSWELL.

THE PURPOSE OF THE ARTICLE IS TO SUPPORT KEMP SMITH’S INTERPRETATION THAT PHILO, IN THE "DIALOGUES", SPEAKS FOR HUME "FROM START TO FINISH." THIS INTERPRETATION HAS RECENTLY BEEN QUESTIONED BY PROFESSOR JAMES NOXON WHO BELIEVES THAT PHILO IS A TRUE PYRRHONIAN SCEPTIC AND THEREFORE DOES NOT REPRESENT THE MITIGATED SCEPTICISM OF HUME. I SUPPORT KEMP SMITH’S INTERPRETATION BY SUGGESTING WHY PHILO SEEMS TO REVERSE HIMSELF AT THE END OF THE "DIALOGUES" AND TO ACCEPT THE DESIGN ARGUMENT AS SUPPORT FOR A (...) VAGUE SORT OF THEISM: HUME INTENDS PHILO’S ’REVERSAL’ TO APPEASE NOT THE RELIGIOUS ESTABLISHMENT WHICH HE DESPISES, BUT THE SCIENTIFIC ESTABLISHMENT WHICH HE RESPECTS. (shrink)

III. INTERPRÉTATION ET CONTRARIÉTÉS 1. Contrariétés et apologétique Le Père Garasse justifie l'existence de contradictions dans la Bible en comparant les Ecritures au corpus des textes législatifs, que les juristes ont souvent du mal à ...

Professor Margaret Jo Osler of the University of Calgary, an historian of early modern science and philosophy (and a member of the Board of Directors of the Journal of the History of Philosophy since 2002) died on September 15, 2010. Born on November 27, 1942, she proudly proclaimed herself to be a "red diaper baby" and particularly delighted in telling her right-wing friends how her middle name was her parents' homage to Stalin. An energetic scholar with a vibrant and positive (...) personality, Maggie, as everyone who worked with her came to call her, never considered retirement and was actively working right up to her diagnosis with pancreatic cancer in early July, 2010.After graduating from Swarthmore College in .. (shrink)

Ethics consultation has become an integral part of the fabric of U.S. health care delivery. This article summarizes the second edition of the Core Competencies for Health Care Ethics Consultation report of the American Society for Bioethics and Humanities. The core knowledge and skills competencies identified in the first edition of Core Competencies have been adopted by various ethics consultation services and education programs, providing evidence of their endorsement as health care ethics consultation (HCEC) standards. This revised report was prompted (...) by thinking in the field that has evolved since the original report. Patients, family members, and health care providers who encounter ethical questions or concerns that ethics consultants could help address deserve access to efficient, effective, and accountable HCEC services. All individuals providing such services should be held to the standards of competence and quality described in the revised report. (shrink)

This latest book, whose editors were among those who prepared the first two volumes, centers on Popkin's crucial role in bringing together scholars from around ...