Epistemic closure has been a central issue in epistemology over the last forty years. According to versions of the relevant alternatives and subjunctivist theories of knowledge, epistemic closure can fail: an agent who knows some propositions can fail to know a logical consequence of those propositions, even if the agent explicitly believes the consequence (having “competently deduced” it from the known propositions). In this sense, the claim that epistemic closure can fail must be distinguished from the fact that agents do (...) not always believe, let alone know, the consequences of what they know—a fact that raises the “problem of logical omniscience” that has been central in epistemic logic. This paper, part I of II, is a study of epistemic closure from the perspective of epistemic logic. First, I introduce models for epistemic logic, based on Lewis’s models for counterfactuals, that correspond closely to the pictures of the relevant alternatives and subjunctivist theories of knowledge in epistemology. Second, I give an exact characterization of the closure properties of knowledge according to these theories, as formalized. Finally, I consider the relation between closure and higher-order knowledge. The philosophical repercussions of these results and results from part II, which prompt a reassessment of the issue of closure in epistemology, are discussed further in companion papers. As a contribution to modal logic, this paper demonstrates an alternative approach to proving modal completeness theorems, without the standard canonical model construction. By “modal decomposition” I obtain completeness and other results for two non-normal modal logics with respect to new semantics. One of these logics, dubbed the logic of ranked relevant alternatives, appears not to have been previously identified in the modal logic literature. More broadly, the paper presents epistemology as a rich area for logical study. (shrink)

According to the Relevant Alternatives (RA) Theory of knowledge, knowing that something is the case involves ruling out (only) the relevant alternatives. The conception of knowledge in epistemic logic also involves the elimination of possibilities, but without an explicit distinction, among the possibilities consistent with an agent’s information, between those relevant possibilities that an agent must rule out in order to know and those remote, far-fetched or otherwise irrelevant possibilities. In this article, I propose formalizations of two versions of the (...) RA theory. Doing so clarifies a famous debate in epistemology, pitting Fred Dretske against David Lewis, about whether the RA theorist should accept the principle that knowledge is closed under known implication, familiar as the K axiom in epistemic logic. Dretske’s case against closure under known implication leads to a study of other closure principles, while Lewis’s defense of closure by appeal to the claimed context sensitivity of knowledge attributions leads to a study of the dynamics of context. Having followed the first lead at length in other work, here I focus more on the second, especially on logical issues associated with developing a dynamic epistemic logic of context change over models for the RA theory. (shrink)

We introduce a relational semantics based on poset products, and provide sufficient conditions guaranteeing its soundness and completeness for various substructural logics. We also demonstrate that our relational semantics unifies and generalizes two semantics already appearing in the literature: Aguzzoli, Bianchi, and Marra’s temporal flow semantics for Hájek’s basic logic, and Lewis-Smith, Oliva, and Robinson’s semantics for intuitionistic Łukasiewicz logic. As a consequence of our general theory, we recover the soundness and completeness results of these prior studies in a (...) uniform fashion, and extend them to infinitely-many other substructural logics. (shrink)

This essay continues Kafka’s tale of a human being who metamorphoses into a beetle. The tale is developed in the light of some recent theory about personal identity and rational choice, particularly Robert Nozick’s Closest-Continuer theory and Mark Johnston’s Relativism about the self. These are potentially complementary conceptions of relativity about the self, Nozick’s focusing on the individual’s ‘metric’ as a criterion of personal continuity, Johnston’s on social standards. When the individually authentic determination about ‘closeness’ coincides with the community’s standards (...) for continuity, the two accounts are complementary. The tale concludes with reference to applying the concept of personal identity for branching selves in the Many-Worlds Interpretation of quantum mechanics. Application of the concept of personal identity in an MWI context implies that there is a bad end in store for us all, as David Lewis argued in his last essay. (shrink)

According to David Lewis, many de re modal predications – that is, sentences such as ‘John McCain could have won the 2008 U.S. Presidential election’ and ‘Dwight could receive a promotion’ – are inconstant insofar as their truth values can vary alongside changes in our interests. In this paper, I argue that previous accounts of this inconstancy, such as those offered by Lewis and Harold Noonan, are inadequate. Linguistic data, I claim – specifically, agreement and disagreement data – (...) tell against these views and in favor of a new, more radical approach. My goal in this paper is to present such data in an effort to offer some initial motivation for this new approach. (shrink)

In "A Problem in Possible-World Semantics," David Kaplan presented a consistent and intelligible modal principle that cannot be validated by any possible world frame (in the terminology of modal logic, any neighborhood frame). However, Kaplan's problem is tempered by the fact that his principle is stated in a language with propositional quantification, so possible world semantics for the basic modal language without propositional quantifiers is not directly affected, and the fact that on careful inspection his principle does not target the (...) world part of possible world semantics—the atomicity of the algebra of propositions—but rather the idea of propositional quantification over a complete Boolean algebra of propositions. By contrast, in this paper we present a simple and intelligible modal principle, without propositional quantifiers, that cannot be validated by any possible world frame precisely because of their assumption of atomicity (i.e., the principle also cannot be validated by any atomic Boolean algebra expansion). It follows from a theorem of David Lewis that our logic is as simple as possible in terms of modal nesting depth (two). We prove the consistency of the logic using a generalization of possible world semantics known as possibility semantics. We also prove the completeness of the logic (and two other relevant logics) with respect to possibility semantics. Finally, we observe that the logic we identify naturally arises in the study of Peano Arithmetic. (shrink)

Following Wesley Hohfeld's pioneering analyses, which demonstrated that the concept of ownership conflated a variety of distinct legal relations, a deflationary regarding those relations as essentially unconnected held sway for much of the subsequent century. In recent decades, this theory has been thought too diffuse; it seems counterintuitive to insist, for instance, that rights of possession and alienation over a property are associated only contingently. Accordingly, scholars such as James Penner and James Harris have advanced theories that revive the (...) concept of ownership, identifying some instances of property as and regarding others as conceptually subsidiary. I propose a new interpretation of the bundle theory, based on David Lewis's idea of among physical particles. I critically examine the major antibundle positions, arguing that their criticisms result from confusion about the claims of the bundle theory, which remains the best account of property rights available. (shrink)

This volume presents a selection of the most influential recent discussions of the crucial metaphysical question: What is it for one event to cause another? The subject of causation bears on many topics, such as time, explanation, mental states, the laws of nature, and the philosophy of science. Contributors include J.L Mackie, Michael Scriven, Jaegwon Kim, G.E.M. Anscombe, G.H. von Wright, C.J. Ducasse, Wesley C. Salmon, David Lewis, Paul Horwich, Jonathan Bennett, Ernest Sosa, and Michael Tooley.

In The Untamed God (2003), Jay Wesley Richards defends what he calls “theological essentialism,” which affirms God’s essential perfections but also recognizes contingent properties in God. This idea places Richards’s view in the vicinity of Charles Hartshorne’s dipolar theism. However, Richards argues that Hartshorne’s modal theory suffers from the defects that it abandons the principle ab esse ad posse, makes nonsense of our counter-factual discourse, and can only be expressed by C. I. Lewis’s S4, although for certain purposes (...) Hartshorne needs the stronger S5. Richards, however, fails to realize that Hartshorne’s theory involves two concepts of necessity—necessity as what is common to every possible world-state and necessity as it pertains to the unalterability of the past. While questions remain about Hartshorne’s theory, Richards’s arguments against it are unsuccessful. Most importantly, Richards uncritically accepts the concept of possible worlds as a basis for his critique, but Hartshorne’s arguments cast doubt on the coherence of this idea. Possible worlds provide anything but a firm foundation on which to make sense of either theological essentialism or Hartshorne’s panentheistic dipolar theism. (shrink)

This article is concerned with two interrelated questions: what, if anything, distinguishes synthetic from natural organisms, and to what extent, if any, creating the former is of moral significance. These are ontological and ethical questions, respectively. As the title indicates, I address both from a broadly neo-Aristotelian perspective, i.e. a teleological philosophy of life and virtue ethics. For brevity’s sake, I shall not argue for either philosophical position at length, but instead hope to demonstrate their legitimacy through their explanatory power. (...) I firstly argue that synthetic organisms differ in kind from natural organisms and machines, and differ only by degree from genetically modified organisms. I then suggest that this is nevertheless sufficient to give us specific ethical reservations about synthetic biology: namely, that more than any other widely used biotechnology, it is characterised by a drive to mastery that stands opposed to due appreciation of the giftedness of life. (shrink)

Biographical sketch.--Miscellaneous papers and extracts from letters.--Lectures on logic.--Plato's conception of goodness and the good.--Index.

On June 17, 2015, white supremacist Dylann Roof marched into the Emanuel African Methodist Episcopal Church in Charleston, South Carolina, and massacred nine black people in prayer. He credited his radicalization to the Council for Conservative Citizens, which was, in his words, "his gateway into the world of white nationalism."1 When Roof's selfies began to circulate—brandishing Confederate battle flags and standing in front of Greenville, South Carolina's own Museum and Library of Confederate History—the Southern civic sphere stammered in response. Governor (...) Nikki Haley had promised in 2014 never to remove the Confederate flag at the South Carolina State House, but after Roof's massacre and his flag-waving pride... (shrink)

Lewis S. Feuer shows that the gestation of the hypotheses of original-minded scientists, such as Darwin, Einstein, or Bohr, is in large part a subconscious process. Scientists try to project upon the world structural laws that, beside fitting the given physical realities, will also realize their own emotional longings among alternative worldviews. Repeatedly, too, in examining the standpoints of philosophical figures ranging from Spinoza, Descartes, Kant, and Mill to contemporary figures such as Einstein, Lovejoy, and Hook, Feuer illumines how (...) sociological antipathies project themselves into scientific divergences. Feuer delves into the bearing of emotive beliefs such as pacifism, socialism, anti-Semitism, upon the formation of concurrent worldviews, often fixations of scientific belief, held with the same passion in science as in religion. (shrink)

In this paper I offer an 'integrating account' of singular causation, where the term 'integrating' refers to the following program for analysing causation. There are two intuitions about causation, both of which face serious counterexamples when used as the basis for an analysis of causation. The 'process' intuition, which says that causes and effects are linked by concrete processes, runs into trouble with cases of 'misconnections', where an event which serves to prevent another fails to do so on a particular (...) occasion and yet the two events are linked by causal processes. The chance raising intuition, according to which causes raise the chance of their effects, easily accounts for misconnections but faces the problem of chance lowering causes, a problem easily accounted for by the process approach. The integrating program attempts to provide an analysis of singular causation by synthesising the two insights, so as to solve both problems. In this paper I show that extant versions of the integrating program due to Eells, Lewis, and Menzies fail to account for the chance-lowering counterexample. I offer a new diagnosis of the chance lowering case, and use that as a basis for an integrating account of causation which does solve both cases. In doing so, I accept various assumptions of the integrating program, in particular that there are no other problems with these two approaches. As an example of the process account, I focus on the recent CQ theory of Wesley Salmon (1997). (shrink)

Eric Lewis - God and Reason in the Middle Ages - Journal of the History of Philosophy 40:3 Journal of the History of Philosophy 40.3 393-394 Book Review God and Reason in the Middle Ages Edward Grant. God and Reason in the Middle Ages. New York: Cambridge University Press, 2001. Pp. ix + 397. Cloth, $64.95. Paper, $22.95. History has not been kind to the vast era we call the "Middle Ages." The name designates an intellectual hiatus between the (...) philosophical and technical genius of ancient Greece and Rome and the "rebirth" of knowledge in the Renaissance. Edward Grant wants this to change. He suggests that we consider the period following the establishment of scholasticism until the sixteenth century the pinnacle of an "Age of Reason." In this vein, Grant's latest book is pure apologetics for the Middle Ages. Grant.. (shrink)

Hermann Grassmann's Ausdehnungslehre of 1844 and his Lehrbuch der Arithmetik of 1861 are landmark works in mathematics; the former not only developed new mathematical fields but also both contributed to the setting of modern standards of rigor. Their very modernity, however, may obscure features of Grassmann's view of the foundations of mathematics that were not adopted since. Grassmann gave a key role to the learning of mathematics that affected his method of presentation, including his emphasis on making initial assumptions explicit. (...) In order to better understand this less well-known aspect of his work it will help to examine why some commentators have overlooked his theme of unifying logic, pedagogy and foundations, while others have recognised it. (shrink)

Philosophers think that there is something fishy about moral deference. The most common explanation of this fishiness is that moral deference doesn’t yield the epistemic states necessary for certain moral achievements. First, I argue that this explanation overgeneralizes. It entails that using many intuitively kosher belief-formation methods should be off-putting. Second, I argue that moral deference is sometimes superior to these other methods because it puts one in a better position to gain the relevant moral achievements.

This essay summarizes representative work in treatments of wisdom in Psychology and the neurosciences. It concludes with suggestions for how this work might cohere with and be enriched by engaging the work of Michael Polanyi.

First published in 1969, The Elusive Mind argues that the mental processes are of a quite different nature from physical ones and belong to an entity which is elusive in the sense that it can only be known, in the first instance, by each person in his own case in the course of having any kind of experience. This 'elusive' self is much involved with the body in any conditions we know, but it could also survive the dissolution of the (...) body. The views of thinkers like Ryle, Hampshire, Malcolm, Feigl, and Ayer are subjected to an exceptionally close and critical scrutiny. In presenting these views, the author offers us the substance of the first series of Gifford Lectures he delivered in the University of Edinburgh; and, in what he says on such topics as dreaming; mysticism; and the 'I-Thou' relation and on Christian Theology. This book will be an essential read for scholars and researchers of philosophy, philosophy of mind, ethics, and religion. (shrink)

Le systeme cartesien est enracine dans la metaphysique qui s'impose avant (non plus apres: meta) la physique. Pourtant, Descartes decouvre avec Beeckman la physico-mathematique, qui applique une methode mathematique a toute la nature. Optique, dioptrique et meteores occupent ses annees parisiennes. Aux Pays-Bas, il consacre neuf mois au commencement de la metaphysique, mais l'abandonne quand il apprend l'existence de faux soleils. Leur explication lui fait elargir la science a l'ensemble du Monde a partir de la lumiere. Il fera connaitre sa (...) methode dans le Discours, avec un resume de sa metaphysique. Comment Descartes avait-il ete incite a demontrer que l'existence de Dieu est plus certaine que les mathematiques? Quels furent les themes nouveaux des Meditations? Alors, l'arbre de la philosophie va deployer ses branches, jusqu'a ce dernier fruit, la generosite. Seule la mort interrompt La Recherche de la Verite, son principal bien en cette vie. (shrink)

The object of this paper is partly to plead a cause, partly to proclaim a grievance. The last domain of ancient Greek life to attract the serious attention and study of modern scholars has been that of Greek Religion; and the exposition of it has revealed its many vital points of contact with the moral and spiritual energy and the artistic and poetic monuments of the ancient Hellenic race. An enthusiastic votary of this study might venture to hope that some (...) general acquaintance with its facts and ideas would henceforth be recognized as belonging to the general curriculum of Hellenic culture. But any one merely interested in the good workmanship of the classical commentary ought at least to insist that something more than a general acquaintance with this subject should be regarded by those who set themselves to edit certain portions of the Greek classics as an essential preliminary and as a necessary part of their scholarly equipment. The authors to whom this rule specially applies are Hesiod, Pindar and the Attic Dramatists. A satisfying commentary on Hesiod is still a desideratum; and for such an achievement a long apprenticeship in anthropology and religious studies would be a necessity. (shrink)