Henry Sheffer’s 1908 Harvard Ph.D. thesis contains an interesting appendix on a central feature of the logical work of his thesis advisor, Josiah Royce. This is the claim in Royce’s 1905 article “The Relations of the Principles of Logic to the Foundations of Geometry” that an unsymmetric ordering relation can be defined on the single symmetric O-relation for which he gives postulates in that paper. Sheffer criticizes Royce’s specific definition from the point of view of the evolving twentieth century conception (...) of axiomatic method and also shows more generally that an unsymmetric1 order relation cannot be defined in the system of the 1905 paper based on the O-relation. In this article I wish to consider the nature.. (shrink)

In this chapter, I evaluate various conceptions of distance. Of the two most prominent, one takes distance relations to be intrinsic, the other extrinsic. I recommend pluralism: different conceptions can peacefully coexist as long as each holds sway over a distinct region of logical space. But when one asks which conception holds sway at the actual world, one conception stands out. It is the conception of distance embodied in differential geometry, what I call the Gaussian conception. On this conception, all (...) fundamental facts about distance are “local” facts.” But there is a problem: the Gaussian conception, notwithstanding its mathematical and physical credentials, appears metaphysically suspicious on Humean grounds. In the final section, I suggest that the Gaussian conception can be given a sound metaphysical footing in terms of non-standard analysis. (shrink)

In the recent literature on the nature of sound, there is an emerging consensus rejection of what might be thought of as the scientifically informed commonsense position: that sounds, whatever else they may be, must be entities that mediate between the source of the sound and the subject hearing it. This paper offers an argument for such "medial" theories of sound. This argument is intended to shift attention from the two considerations that have dominated the debate thus far: the relevant (...) scientific facts about audition and the spatial phenomenology of auditory experience. (shrink)

Phillip R. Sloan - Performing the Categories: Eighteenth-Century Generation Theory and the Biological Roots of Kant's A Priori - Journal of the History of Philosophy 40:2 Journal of the History of Philosophy 40.2 229-253 Preforming the Categories: Eighteenth-Century Generation Theory and the Biological Roots of Kant's A Priori Phillip R. Sloan Situating Kant's philosophical project in relation to the natural sciences of his day has been of concern to several scholars from both the history of science and the (...) history of philosophy. Historians of philosophy have displayed an expanded awareness of, and interest in, the importance of the scientific context of the period in which Kant carried out his "Copernican" revolution. Most commonly among philosophers, this interest has been analyzed in relation to Kant's concerns with the foundations of mechanics, matter theory, and the epistemology of Newtonian science, with the central text of interest being the Metaphysische Anfangsgründe. On the other hand, historians of philosophy and historians of science, interested in the issues of the third Critique and in the several papers of Kant dealing with biological and anthropological issues, have emphasized the unified nature of Kant's inquiries into the natural sciences, and the importance of his continued interest in the life and human sciences alongside his interests in the foundations of the physical sciences. The effort to understand the unity of Kant's.. (shrink)

Phillip Cary argues that Augustine invented or created the concept of self as an inner space--as space into which one can enter and in which one can find God. This concept of inwardness, says Cary, has worked its way deeply into the intellectual heritage of the West and many Western individuals have experienced themselves as inner selves. After surveying the idea of inwardness in Augustine's predecessors, Cary offers a re-examination of Augustine's own writings, making the controversial point that in (...) his early writings Augustine appears to hold that the human soul is quite literally divine. Cary goes on to contend that the crucial Book 7 of the Confessions is not a historical report of Augustine's "conversion" experience, but rather an explanation of his intellectual development over time. (shrink)

This paper is a critical study of Christians among the Virtues: Theological Conversations with Ancient and Modern Ethics by Stanley Hauerwas and Charles Pinches. It has four parts. First, I consider several possible responses to G. E. M. Anscombe’s famous challenge to modern moral philosophy in order to provide a framework in which the project of Hauerwas and Pinches can be located. Next I criticize their attempt to eliminate the realm of obligation from morality. Then I examine their treatment of (...) Martha Nussbaum’s work onAristotle in order to explore differences between secular and Christian appropriations of Aristotle. Finally, I discuss their views on the virtue of obedience and criticize their arguments against rival Kantian and divine command views. (shrink)

Composition as identity, as I understand it, is a theory of the composite structure of reality. The theory’s underlying logic is irreducibly plural; its fundamental primitive is a generalized identity relation that takes either plural or singular arguments. Strong versions of the theory that incorporate a generalized version of the indiscernibility of identicals are incompatible with the framework of plural logic, and should be rejected. Weak versions of the theory that are based on the idea that composition is merely analogous (...) to identity are too weak to be interesting, lacking in metaphysical consequence. I defend a moderate version according to which composition is a kind of identity, and argue that the difference is metaphysically substantial, not merely terminological. I then consider whether the notion of generalized identity, though fundamental, can be elucidated in modal terms by reverse engineering Hume’s Dictum. Unfortunately, for realists about possible worlds, such as myself,... (shrink)

It follows from Humean principles of plenitude, I argue, that island universes are possible: physical reality might have 'absolutely isolated' parts. This makes trouble for Lewis's modal realism; but the realist has a way out. First, accept absolute actuality, which is defensible, I argue, on independent grounds. Second, revise the standard analysis of modality: modal operators are 'plural', not 'individual', quantifiers over possible worlds. This solves the problem of island universes and confers three additional benefits: an 'unqualified' principle of compossibility (...) can be accepted; the possibility of nothing can be accommodated; and the identity of indiscernible worlds can be decisively refuted. (shrink)

I am a realist of a metaphysical stripe. I believe in an immense realm of "modal" and "abstract" entities, of entities that are neither part of, nor stand in any causal relation to, the actual, concrete world. For starters: I believe in possible worlds and individuals; in propositions, properties, and relations (both abundantly and sparsely conceived); in mathematical objects and structures; and in sets (or classes) of whatever I believe in. Call these sorts of entity, and the reality they comprise, (...) metaphysical. In contrast, call the actual, concrete entities, and the reality they comprise, physical. Physical and metaphysical reality together comprise all that there is. In this paper, it is not my aim to defend realism about any particular metaphysical sort of entity. Rather, I ask quite generally whether and how any brand of realism about metaphysical sorts of entity could be justified? (shrink)

In this chapter, I survey what I call Lewisian approaches to modality: approaches that analyze modality in terms of concrete possible worlds and their parts. I take the following four theses to be characteristic of Lewisian approaches to modality. (1) There is no primitive modality. (2) There exists a plurality of concrete possible worlds. (3) Actuality is an indexical concept. (4) Modality de re is to be analyzed in terms of counterparts, not transworld identity. After an introductory section in which (...) I motivate analyzing modality in terms of possible worlds, I devote one section to each of these four theses. For each thesis, I take Lewis’s interpretation and defense as my starting point. I then consider and endorse alternative ways of accepting the thesis, some of which disagree substantially with Lewis’s interpretation or defense. There is more than one way to be a Lewisian about modality. (shrink)

Through a critique of Karl Rahner and an exegesis of John of Damascus, the article argues that there is no difference in essential logic between Greek and Latin Trinitarianism. In particular, both traditions establish an epistemic gap between the doctrine of the immanent Trinity and the doctrine of the economic Trinity, which (contrary to prevailing theological opinion) is well-placed, but does not imply that the inner self of the Trivine God remains hidden and unknown in the economy of salvation.

By means of a comprehensive and penetrating examination of the main elements of Epicurean ethics, Phillip Mitsis forces us to reevaluate this widely misunderstood figure in the history of philosophy.

Humeans have a problem with quantities. A core principle of any Humean account of modality is that fundamental entities can freely recombine. But determinate quantities, if fundamental, seem to violate this core principle: determinate quantities belonging to the same determinable necessarily exclude one another. Call this the problem of exclusion. Prominent Humeans have responded in various ways. Wittgenstein, when he resurfaced to philosophy, gave the problem of exclusion as a reason to abandon the logical atomism of the Tractatus with its (...) free recombination of elementary propositions. Armstrong promoted a mereological solution to the problem of exclusion; but his account fails in manifold ways to provide a general solution to the problem. Lewis studiously avoided committing to any one solution, trusting simply that, since Humeanism was true, there had to be some solution. Abandonment; failure; avoidance: we Humeans need to do better. -/- In this paper, I present what I take to be the best account of quantities, tailoring it where needed to meet Humean demands as well as my own prior commitment to quidditism, and my own comparativist inclinations. In short: determinables, not determinates, are the fundamental properties, and freely recombine; determinates arise from the instantiation of determinables in an enhanced world structure; determinate quantities may be local (in a sense to be explained), but they are not intrinsic. Is the account I end up with Humean? Not, unfortunately, as it stands: the problem of exclusion still rears its ugly head. After dismissing a failed attempt at a solution, I consider in the final section the two viable Humean options. One attributes the source of the necessary exclusions to conventional definition, the other attributes it to logic. The first is safe and familiar, but not a response I can accept given my other commitments. The second is more radical and less familiar; but I am convinced it is on the right track. I don’t have space to develop it much here, but I put it out for future research. (shrink)

This paper presents an argument against A D Smith’s Direct Realist theory of perception, which attempts to defend Direct Realism against the argument from illusion by appealing to conscious perceptual states that are structured by the perceptual constancies. Smith’s contention is that the immediate objects of perceptual awareness are characterised by these constancies, which removes any difficulty there may be in identifying them with the external, or normal, objects of awareness. It is here argued that Smith’s theory does not provide (...) an adequate defence of Direct Realism because it does not adequately deal with the difficulties posed by the possibility of perceptual illusion. It is argued that there remain possible illusory experiences where the immediate objects of awareness, which in Smith’s account are those characterised by perceptual constancies, cannot be identified with the external objects of awareness, contrary to Direct Realism. A further argument is offered to extend this conclusion to all non-illusory cases, by adapting an argument of Smith’s own for the generalising step of the Argument from Illusion. The result is that Smith’s theory does not provide an adequate Direct Realist account of the possibility of perceptual illusion. (shrink)

In this paper I would like to examine what I believe is an often misunderstood aspect of F.H. Bradley’s philosophy. Specifically, I want to consider Bradley’s views on the relation between perception and what he calls the “feeling base” of experience. Although Bradley’s doctrine of feeling is generally recognized as one of the most distinctive aspects of his thought, his theory of perception is, I believe, also unusual in that it views our perceptual experience as permeated by conceptual identities. As (...) we shall see, Bradley understands perception as essentially ideal. And when he uses this term to describe the contents of our ordinary perceptual awareness, Bradley wants to convey to us his belief that there is something about perception which bears the mark of thought. “Ideal” and “ideality” — terms which signal the presence of thought — are also used by Bradley to indicate that an experience is at least partially abstract and general. Thus when he calls perception ideal he is claiming — contrary to the received view — that perception does not present us with objects that are wholly determinate and particular. (shrink)

According to the Truthmaker Principle: every truth has a truthmaker. Attempts to come to grips with the Truthmaker Principle played a prominent role in Lewis’s metaphysical writings over the last fifteen years of his career. Although Lewis agreed that the truth of propositions must somehow be ontologically grounded, the Truthmaker Principle was too strong: it conflicted with two of Lewis’s most fundamental metaphysical assumptions, the uniqueness of composition and the Humean denial of necessary connections. Lewis endorsed instead a weaker principle: (...) Truth Supervenes on Being. But towards the end of his career, he changed course, noting that his critique of the Truthmaker Principle rested on essentialist assumptions that he, as a counterpart theorist, does not accept. Once freed from those assumptions, a counterpart theorist can accept the Truthmaker Principle after all without buying into unmereological composition and mysterious necessary connections. (shrink)

People may have open minds on whether a life-extending drug or technology is going to be developed before their sixties and may strongly desire that development. Do they therefore hope that it occurs? Do they hope for it in the substantive sense of “pinning their hopes” on the development? No, they do not. Hoping for a prospect in that sense certainly presupposes having an open mind on whether it will occur and having a desire for its occurrence. But, more crucially, (...) it means investing the prospect with a characteristic, galvanizing, and orientating role: it involves setting aside doubts about the possible nonoccurrence of the prospect and acting accordingly. This article offers a characterization of hope in that substantive sense and argues both that it can be rational and that it is ubiquitous. (shrink)

Research teams have used extra-uterine systems to support premature fetal lambs and to bring them to maturation in a way not previously possible. The researchers have called attention to possible implications of these systems for sustaining premature human fetuses in a similar way. Some commentators have pointed out that perfecting these systems for human fetuses might alter a standard expectation in abortion practices: that the termination of a pregnancy also entails the death of the fetus. With Biobags, it might be (...) possible, some argue, that no woman has the right to expect that outcome if the technology is able to sustain fetal lifeafteran abortion. In order to protect the expectation that the termination of a pregnancy always entails the death of the fetus, Elizabeth Romanis has argued that fetuses sustained in Biobags have a status different than otherwise ‘born’ children. In support of that view, she argues that these ‘gestatelings’ are incapable of independent life. This argument involves a misunderstanding of the gestational support involved, as well as a misapprehension of neonatology practice. Here, we argue that any human fetus sustained in a Biobag would be as ‘independent’ as any other premature infant, and just as ‘born’. Neonatologists would seem to have certain presumptive moral responsibilities toward any human fetus gestating in a Biobag. It remains a separate question whether the perfection and widespread application of Biobags for premature human beings would or should alter the expectation that ending a pregnancy also entails fetal death. (shrink)

These original essays explore the philosophical implications of Newton's work.

Was Plato a Pythagorean? Plato's students and earliest critics thought so, but scholars since the nineteenth century have been more skeptical. With this probing study, Phillip Sidney Horky argues that a specific type of Pythagorean philosophy, called "mathematical" Pythagoreanism, exercised a decisive influence on fundamental aspects of Plato's philosophy. The progenitor of mathematical Pythagoreanism was the infamous Pythagorean heretic and political revolutionary Hippasus of Metapontum, a student of Pythagoras who is credited with experiments in harmonics that led to innovations (...) in mathematics. The innovations of Hippasus and other mathematical Pythagoreans, including Empedocles of Agrigentum, Epicharmus of Syracuse, Philolaus of Croton, and Archytas of Tarentum, presented philosophers like Plato with novel ways to reconcile empirical knowledge with abstract mathematical theories. Plato and Pythagoreanism demonstrates how mathematical Pythagoreanism established many of the fundamental philosophical questions Plato dealt with in his central dialogues, including Cratylus, Phaedo, Republic, Timaeus, and Philebus. In the process, it also illuminates the historical significance of the mathematical Pythagoreans, a group whose influence on the development of philosophical and scientific methods has been obscured since late antiquity. The picture that results is one in which Plato inherits mathematical Pythagorean method only to transform it into a powerful philosophical argument about the essential relationships between the cosmos and the human being. (shrink)

This volume contains eighteen papers, three with new postscripts, that were written over the past 35 years. Five of the papers have not been previously published. Together they provide a comprehensive account of modal reality—the realm of possible worlds—from a Humean perspective, with excursions into neighboring topics in metaphysics. Part 1 sketches an account of reality as a whole, both the mathematical and the modal, defending a form of plenitudinous realism: every consistent proposition is true of some portion of reality. (...) Part 2 presents and defends a realist theory of concrete possible worlds with an absolute ontological distinction between the actual and the merely possible. Part 3 presents and defends a Humean account of modal plenitude, formulating and endorsing principles of recombination, of plenitude of possible structures, and of plenitude of alien contents. Part 4 applies the Humean account to truthmaking, mereology, spacetime, and quantities. I argue that holding fast to Humean strictures leads to views that differ in radical ways from those put forth by contemporary metaphysicians. (shrink)

Terrorism, torture, and the problems of evil -- Diabolical evil, searching for Satan -- Philosophies of evil -- Communities of fear -- The enemy within -- Bad seeds -- The character of evil -- Facing the Holocaust -- Twenty-first-century mythologies.

Metaphor has a double life. It can be described as a directional process in which a stable, familiar base domain provides inferential structure to a less clearly specified target. But metaphor is also described as a process of finding commonalities, an inherently symmetric process. In this second view, both concepts may be altered by the metaphorical comparison. Whereas most theories of metaphor capture one of these aspects, we offer a model based on structure-mapping that captures both sides of metaphor processing. (...) This predicts (a) an initial processing stage of symmetric alignment; and (b) a later directional phase in which inferences are projected to the target. To test these claims, we collected comprehensibility judgments for forward (e.g., “A rumor is a virus”) and reversed (“A virus is a rumor”) metaphors at early and late stages of processing, using a deadline procedure. We found an advantage for the forward direction late in processing, but no directional preference early in processing. Implications for metaphor theory are discussed. (shrink)

From Nietzsche to the present, the Western philosophical tradition has been dominated by a secular thinking that has dismissed discussion of God as largely irrelevant. In recent years however, the issue of theology has returned to spark some of the most controversial debates within contemporary philosophy. Discussions of theology by key contemporary philosophers such as Derrida and Levinas have placed religion at centre stage. _Post-Secular Philosophy_ is one of the first volumes to consider how God has been approached by modern (...) philosophers and consider the links between theology and postmodern thought. Fifteen accessible essays present a clear and compelling picture of how key thinkers including Descartes, Nietzsche, Freud, Wittgenstein, Heidegger and Derrida have made God a central part of their thinking. Each philosopher and how they have approached and criticised theology is placed in a clear historical context. Placing the collection in context with Phillip Blond's outstanding introduction, _Post-Secular Philosophy_ presents a fascinating discussion of the alternatives to the relativism and nihilism that dominate Western thinking. (shrink)

In this paper I argue that the theory that holes are immaterial objects faces an objection that has traditionally been thought to be the principal difficulty with its main rival, which construes holes as material parts of material objects. Consequently, one of the principal advantages of identifying holes with immaterial objects is illusory: its apparent ease of accounting for truths about number of holes. I argue that in spite of this we should not think of holes as material parts of (...) material objects. This is because the theory that holes are properties does not face the same difficulties as either of these theories that construe holes as objects of some sort. (shrink)

The most commonly heard proposals for reducing possible worlds to language succumb to a simple cardinality argument: it can be shown that there are more possible worlds than there are linguistic entities provided by the proposal. In this paper, I show how the standard proposals can be generalized in a natural way so as to make better use of the resources available to them, and thereby circumvent the cardinality argument. Once it is seen just what the limitations are on these (...) more general proposals, it can be clearly seen where the real difficulty lies with any attempt to reduce possible worlds to language. Roughly, the difficulty is this: no actual language could have the descriptive resources needed to represent all the ways things might have been. I conclude by arguing that this same difficulty spells doom for any nominalist or conceptualist proposal for reducing possible worlds. (shrink)

In a series of articles and books published in the 1970s, David Hull (1935–2010) and Michael Ruse (1940–) proposed interpretations of the relation between nineteenth-century British philosophy of science, on the one hand, and the views and methods of Charles Darwin, on the other, that were incompatible or at least in strong interpretive tension with one another. According to Hull, John Herschel’s and William Whewell’s philosophies of science were logically incompatible with Darwin’s revolutionary theory. According to Ruse, however, Darwin discovered (...) and developed his theory through direct adherence to those philosophies. Here, I reconstruct Hull’s and Ruse’s interpretations of the Herschel-Whewell-Darwin relationship and then, drawing on Hull’s and Ruse’s published record and archival correspondence in the years 1968–76—particularly regarding reduction, laws, and species—I offer an explanation for their differences, namely, their different orientations to logical empiricism. (shrink)