This essay develops our meta-logical interpretation of Leibniz’s formal theory of contingency by taking up two additional issues not fully addressed in our earlier efforts. The first issue concerns the relationship between Leibniz’s formal theory of contingency and his views on species and essentialism. The second issue concerns the relationship between Leibniz’s formal theory of contingency and the modal status of the actual world.

Śrīgupta, a Buddhist philosopher in the Middle Way tradition, was born in Bengal in present-day India in the seventh century. He is best known for his Introduction to Reality with its accompanying auto-commentary,1 in which he presents the first Middle Way iteration of the influential "neither-one-nor-many argument."2 This antifoundationalist line of reasoning sets out to prove that nothing enjoys ontologically independent being.Gottfried Wilhelm Leibniz was born some one thousand years later, in the city of Leipzig, situated on the outskirts of (...) European learning and thought. He is best known today for having co-invented the infinitesimal calculus, for his... (shrink)

In this paper I argue that the hoary theological doctrine of divine concurrence poses no deep threat to Leibniz’s views on theodicy and creaturely activity even as those views have been traditionally understood. The first three sections examine respectively Leibniz’s views on creation, conservation and concurrence, with an eye towards showing their sys­tematic compatibility with Leibniz’s theodicy and metaphysics. The fourth section takes up remaining worries arising from the bridging principle that conservation is a continued or continuous creation, and argues (...) that they can be allayed once two readings of the prin­ciple are distinguished. What emerges from the discussion as a whole is, I hope, a clearer picture of Leibniz’s views on the nature of monadic causation, his understanding of the relationship between divine and creaturely activity, and his position with respect to later medieval and early modern debates over secondary causation. (shrink)

This paper aims to offer a sympathetic reading of Berkeley’s often maligned account of human agency. The first section briefly revisits three options concerning the relationship between human and divine agency available to theistically minded philosophers in the medieval and early modern eras. The second argues that, of those three views, only the position of concurrentism is consistent with Berkeley’s texts. The third section explores Berkeley’s reasons for adopting concurrentism by highlighting three motivating considerations drawn from his larger philosophical system. (...) Finally, the fourth section attempts to flesh out Berkeley’s understanding of human activity by looking at how we might understand his claim that “we move our legs ourselves” in light of his commitments to idealism and concurrentism. (shrink)

This essay examines one of the cornerstones of Leibniz's defense of teleology within the order of nature. The first section explores Leibniz's contributions to the study of geometrical optics, and argues that his "Most Determined Path Principle" or "MDPP" allows him to bring to the fore philosophical issues concerning the legitimacy of teleological explanations by addressing two technical objections raised by Cartesians to non-mechanistic derivations of the laws of optics. The second section argues that, by drawing on laws such as (...) the MDPP, Leibniz is able to introduce a thin notion of teleology that gives him the resources to respond to the most pressing charges of his day against teleological explanations within natural philosophy. Finally, the third section argues that contemporary philosophers have been overly hasty in their dismissal of Leibniz's account of natural teleology, and indeed that their own generally thin conceptions of teleology have left them with few well-motivated resources for resisting his elegant position. (shrink)

"This book introduces Gottfried Wilhelm Leibniz's Principle of Optimality and argues that it plays a central role his physics and philosophy, with profound implications for both. Each chapter begins with an introduction to one of Leibniz's ground-breaking studies in natural philosophy, paying special attention to the role of optimal form in those investigations. Each chapter then goes on to explore the philosophical implications of optimal form for Leibniz's broader philosophical system. Individual chapters include discussions of Leibniz's understanding of teleology, the (...) nature of bodies, laws of nature, and free will. The final chapter explores the legacy of Leibniz's physics in light of his work on optimal form"--. (shrink)

This paper offers a non-traditional account of what was really at stake in debates over the legitimacy of teleology and teleological explanations in the later medieval and early modern periods. It is divided into four main sections. The first section highlights two defining features of ancient and early medieval views on teleology, namely, that teleological explanations are on a par (or better) with efficient causal explanations, and that the objective goodness of outcomes may explain their coming about. The second section (...) argues that it was the first thesis – the thesis of explanatory parity –that came under attack by mainstream philosophers in the later medieval and early modern traditions, rather than teleology per se. The third section argues similarly that it was the second thesis – the thesis of explanatory goodness – that was the object of Spinoza’s critique of final causes, rather than teleology itself. Finally, the fourth section argues that Leibniz’s claim to be a champion of traditional teleology rests on his willingness to defend both the theses of explanatory parity and goodness against the very charges that led to their demise. The essay concludes by contrasting the narrative offered here with Don Garrett’s recent account according to which “it is not Leibniz but Spinoza who holds the position on teleology and teleological explanation nearest to that of Aristotle” (312). (shrink)

In this paper I argue that the hoary theological doctrine of divine concurrence poses no deep threat to Leibniz’s views on theodicy and creaturely activity even as those views have been traditionally understood. The first three sections examine respectively Leibniz’s views on creation, conservation and concurrence, with an eye towards showing their sys­tematic compatibility with Leibniz’s theodicy and metaphysics. The fourth section takes up remaining worries arising from the bridging principle that conservation is a continued or continuous creation, and argues (...) that they can be allayed once two readings of the prin­ciple are distinguished. What emerges from the discussion as a whole is, I hope, a clearer picture of Leibniz’s views on the nature of monadic causation, his understanding of the relationship between divine and creaturely activity, and his position with respect to later medieval and early modern debates over secondary causation. (shrink)

Leibniz speaks, in a variety of contexts, of there being two realms—a "kingdom of power or efficient causes" and "a kingdom of wisdom or final causes." This essay explores an often overlooked application of Leibniz's famous "two realms doctrine." The first part turns to Leibniz's work in optics for the roots of his view that nature can be seen as being governed by two complete sets of equipotent laws, with one set corresponding to the efficient causal order of the world, (...) and the other to its teleological order. The second part offers an account of how this picture of lawful over-determination is to be reconciled with Leibniz's mature metaphysics. The third addresses a line of objection proposed by David Hirschmann to the effect that Leibniz's doctrine undermines his stated commitment to an efficient, broadly mechanical account of the natural world. Finally, the fourth part suggests that Leibniz's thinking about the harmony of final and efficient causes in connection with corporeal nature may help to shed light on his understanding of the teleological unfolding of monads as well. (shrink)

entry for the Stanford Encyclopedia of Philosophy (SEP) This entry will attempt to provide a broad overview of the central themes of Leibniz’s philosophy of physics, as well as an introduction to some of the principal arguments and argumentative strategies he used to defend his positions. It tentatively includes sections entitled, The Historical Development of Leibniz’s Physics, Leibniz on Matter, Leibniz’s Dynamics, Leibniz on the Laws of Motion, Leibniz on Space and Time. A bibliography arranged by topic is also included. (...) A working draft is available here (comments, as always welcome): draft. (shrink)

In this essay, we explore a fresh avenue into mind-body dualism by considering a seemingly distant question posed by Frege: "Why is it absurd to suppose that Julius Caesar is a number?". The essay falls into three main parts. In the first, through an exploration of Frege’s Julius Caesar problem, we attempt to expose two maxims applicable to the mind-body problem. In the second part, we draw on those maxims in arguing that “full blown dualism” is preferable to more modest, (...) property-theoretic, versions. Finally, in the third part we close by suggesting that full blown dualism need not be spooky, resurrecting a broadly Lockean, rather than Cartesian, metaphysical picture. (shrink)

Leibniz’s mature philosophical understanding of the laws of nature emerges rather suddenly in the late 1670’s to early 1680’s and is signaled by his embrace of three central theses.1 The first, what I’ll call the thesis of Contingency, suggests that the laws of nature are not only contingent, but, in some sense, paradigmatically contingent; they are supposed to provide insight into the very nature of contingency as Leibniz comes to understand it. The second, what I’ll call the thesis of Providence, (...) suggests that the laws of nature provide a basis for a new argument from design by showing how reflection on God’s ends can be positively useful in the practice of natural philosophy. The third, what I’ll call thesis of .. (shrink)

This essay offers an alternative account of Leibniz’s views on substance and fundamental ontology. The proposal is driven by three main ideas. First, that Leibniz’s treatment should be understood against the backdrop of a traditional dispute over the paradigmatic nature substance as well as his own overarching conciliatory ambitions. Second, that Leibniz’s metaphysics is intended to support his conciliatory view that both traditional views of substance are tenable in at least their positive and philosophical respects. Third, that the relationship between (...) immaterial substances, corporeal substances, and ordinary bodies in Leibniz’s metaphysics is best understood as one of “material” constitution. The interpretation as a whole thus suggests that Leibniz needn’t be read as offering either an exclusive defense of corporeal substance realism, nor of immaterial substance idealism, nor as being deeply torn (at a time or over time) between two such views. He may instead be seen as offering a carefully presented, consistent, and sophisticated conciliatory account of substance. (shrink)

The following paper attempts to explore, criticizeand develop Thomas Kuhn's mostmature – and surprisingly neglected – view ofincommensurability. More specifically, itfocuses on (1) undermining an influential picture ofscientific kinds that lies at the heartof Kuhn's understanding of taxonomic incommensurability;(2) sketching an alternativepicture of scientific kinds that takes advantage ofKuhn's partially developed theory ofdisciplinary matrices; and (3) using these two resultsto motivate revisions to Kuhn'stheory of taxonomic incompatibility, as well as, tothe purported bridge betweentaxonomic incompatibility and some of the traditionalproblems associated (...) withincommensurability. (shrink)

Confronting the threat of a Spinozistic necessitarianism, Leibniz insists that not all possible substances are compossible—that they can't all be instantiated together—and thus that not all possible worlds are compossible—that they can't all be instantiated together. While it is easy to appreciate Leibniz's reasons for embracing this view, it has proven difficult to see how his doctrine of incompossibility might be reconciled with the broader commitments of his larger philosophical system. This essay develops, in four sections, a novel solution to (...) the "puzzle of incompossibility." The first section frames the difficulty more carefully and briefly argues that the two dominant strategies developed by Leibniz's commentators fail to solve it fully insofar as they require simply abandoning one or another of its motivating commitments. The second and third sections show how Leibniz's guiding analogy of a geometrical packing or tiling problem may be applied to solve the puzzle of incompossibility in the context of finite and infinite worlds composed of extended corporeal substances. Finally, the fourth section shows how the strategy of Leibniz's packing analogy might be applied even in the context of a thoroughly idealist metaphysics in which the only true substances are nonextended, mindlike "monads." The essay concludes by drawing some connections between Leibniz's thinking about the puzzle of incompossibility and the development of his views concerning the status of corporeal substances and extended bodies. CiteULike Connotea Del.icio.us Digg Reddit Technorati What's this? (shrink)

This essay offers an account of the relationship between extended Leibnizian bodies and unextended Leibnizian monads, an account that shows why Leibniz was right to see intimate, explanatory connections between his studies in physics and his mature metaphysics. The first section sets the stage by introducing a case study from Leibniz's technical work on the strength of extended, rigid beams. The second section draws on that case study to introduce a model for understanding Leibniz's views on the relationship between derivative (...) and primitive forces. The third section draws on Leibniz's understanding of the relationship between derivative and primitive forces in order to shed light, in turn, on his understanding of the relationship between extended, material bodies and unextended, immaterial monads. The fourth section responds to a likely objection by arguing that Leibniz's monads may, in a perfectly reasonable sense, be spatially located. (shrink)

This essay attempts to provide a sympathetic reading of Hume’s often tangled discussion of memory in the Treatise. It divides into three main sections. The first section isolates three puzzles in Hume’s account of memory. The second section attempts to show how those puzzles arise as a result of Hume’s understandable failure to recognize a necessary connection between memory and causation. Finally, the third section looks at how the reading of Hume’s account of memory offered in the first two sections (...) fits into the larger context of his work by considering the roles he assigns to memory in his famous account of personal identity. (shrink)

In a stimulating recent paper, “Violations of the Principle of Sufficient Reason (in Leibniz and Spinoza),” Michael Della Rocca argues that rationalists face a daunting dilemma: either abandon the Principle of Sufficient Reason or embrace a radical, Parmenidian-style monism. The present paper argues that neither historical nor contemporary rationalists need be afraid of Della Rocca’s dilemma. The second section reconstructs Della Rocca’s argument in five steps. The third section argues that Leibniz’s treatment of relations undermines one of those steps in (...) particular and thus provides him—as well as contemporary rationalists—with a way out. The fourth section argues that a similar way out is available to Spinoza, and that it’s a better way out than either of the two options Della Rocca offers on Spinoza’s behalf. The essay concludes with an historically-minded suggestion for those eager to revitalize the once-again popular notion of grounding. (shrink)

Comments on Roger Ariew’s “Descartes and Leibniz as Readers of Suarez," presented at Franscico Suarez, S.J.: Last Medieval or First Early Modern?, London, Ontario, University of Western Ontario, September 2008.

This essay argues that, with his much-maligned “infinite analysis” theory of contingency, Leibniz is onto something deep and important – a tangle of issues that wouldn’t be sorted out properly for centuries to come, and then only by some of the greatest minds of the twentieth century. The first two sections place Leibniz’s theory in its proper historical context and draw a distinction between Leibniz’s logical and meta-logical discoveries. The third section argues that Leibniz’s logical insights initially make his “infinite (...) analysis” theory of contingency more rather than less perplexing. The last two sections argue that Leibniz’s meta-logical insights, however, point the way towards a better appreciation of (what we should regard as) his formal theory of contingency, and its correlative, his formal theory of necessity. (shrink)

Comments on Sukjae Lee's "Berkeley on the Activity of Spirits," presented at Eastern Division Meeting of the American Philosophical Association, Baltimore, MD, December 2007.

The Dioptrique, often translated as the Optics or, more literally, as the Dioptrics is one of Descartes’ earliest works. Likely begun in the mid to late 1620’s, Descartes refers to it by name in a letter to Mersenne of 25 November 1630 III, 29). Its subject matter partially overlaps with Descartes’ more foundational project The World or Treatise on Light in which he offers a general mechanistic account of the universe including the formation, transmission, and reception of light. Although Galileo’s (...) condemnation by the Church prompted Descartes to abandon, in 1633, his plans for publishing The World, he continued in the ensuing years to vigorously pursue a number of scientific projects, including projects related to his work in optics. He was eventually persuaded to publish three essays highlighting some of his discoveries together with an introductory essay concerning “the method for rightly directing one’s reason and searching for truth in the sciences” . As one of those essays, Descartes’ Dioptrics finally appeared in print together with the Discourse on Method, the Meteorology and the Geometry in the summer of 1637 in a French language edition. It was republished in a Latin edition in 1644. The subject matter of the Dioptrics may be thought of as covering three main topics and is formally divided by Descartes into ten chapters or “discourses”. The first main topic concerns the nature of light and the laws of optics. In the first discourse, Descartes invites his readers to. (shrink)

In his Kant and the Claims of Knowledge, Paul Guyer offers an influential reading of Kant’s famous “Refutation of Idealism.” Guyer’s reading has been widely praised as Kantian exegesis but less favorably received as an anti-skeptical line of argument worthy of contemporary interest. In this paper, I focus on defending the general thrust of Guyer’s reading as a response to Cartesian skepticism. The paper falls into two sections. The first section constructs Guyer’s central argument in three steps and gives it (...) a quasi-formal presentation. That presentation reveals the principal obstacle to the argument’s being convincing to a contemporary audience, namely, its apparent reliance on Kant’s prohibition against psychological laws governing mental states. The second section constructs a lemma in defense of Guyer’s general line of attack. In effect, it suggests that that line does not depend on a metaphysical ban on psychological laws, but only on the modest premise that according to the Cartesian’s concept of knowledge such laws cannot justify claims about the temporal order of the self. (shrink)

Comments on Andy Egan’s "Second-Order Predication and the Metaphysics of Properties," presented at California State University Long Beach, CA 2003.

In his rich and engaging essay, Professor Garber asks most centrally, “…what was the relation between Leibniz’s metaphysical project as set out in the so-called ‘Monadologie’ and the more theological project in the Essais de Théodicée?” His answer is, in short, that there isn’t much of a relationship between these two great works. Furthermore, he takes this result to be evidence of Leibniz’s not being a systematic philosopher in the spirit of Descartes or Spinoza. In these brief comments, I revisit (...) Garber’s two central questions in turn and offer some moderating resistance to both of his conclusions. (shrink)

Daniel Garber’s Leibniz: Body, Substance and Monad . When I first entered graduate school Dan’s previous book Descartes’s Metaphysical Physics had recently appeared, and it made a huge and lasting impression on me. All of a sudden I saw Descartes’s project in a much different, more intriguing light. This Garber fella had managed to open up a new area of Descartes’s thought to me, to tease out with great care his philosophical arguments, and to situate both in a broader historical (...) context in which they seemed to me at least much more at home. In short, Dan’s Descartes’s book is one of the main reasons why I work on Leibniz. And now we have his rich, learned, and provocative book on Leibniz to wrestle with. I am certain that it will similarly inspire another generation of early modern scholars as well – hopefully they won’t all be moved to work on Kant! (shrink)

In writing papers, students confront two obstacles. First, they may not know what philosophical writing is, mistaking an extended statement of their opinion for a philosophy paper. Second, some students lack certain key writing skills and so have difficulty organizing and conveying their view on a philosophical issue. In addition to reading good philosophical works, students need practice writing, editing, and revising their work and so rough drafts become a key component in teaching philosophical writing. This paper outlines the traditional (...) procedure for rough drafts, highlights some difficulties with this approach, and then details an alternative approach that is advantageous in several ways. In addition, an example classroom handout is provided that introduces this alternative procedure. (shrink)

This book offers a historical introduction to fundamental questions in the philosophy of religion. It is divided into twenty-five chapters. The first chapter discusses the nature of piety drawing on Plato's Euthyphro. The next three chapters discuss the nature of evil, free will, foreknowledge, and sin in the context of Augustine's On Free Choice of Will. Chapter Five discusses Anslem's "ontological" argument for the existence of God. Chapter Six explores Ibn Sina's account of the nature of the soul and immortality. (...) The next two chapters explore the foundations of religious belief and mysticism in the company of al-Ghazali's The Rescuer from Error. Chapters nine through eleven discuss Aquinas's arguments for the existence of God as well as his account of God's impersonal and personal attributes. The twelfth chapter explores Marguerite Porete's account of mystical ascent as well as the doctrines of heaven and hell. Chapter Thirteen discusses Pascal's pragmatic argument for belief in the existence of God. Chapters Fourteen through Sixteen discuss Spinoza's understanding of God, our relationship to God, and the foundations of morality. Chapters Seventeen through Nineteen explore the argument from design, the existence of God, deism, and the problem of evil. Chapter Twenty investigates Mary Shepherd's defense of belief in miracles, while Chapter Twenty-One explores Mill's views on the utility of religion. Finally, chapters Twenty-Three through Twenty-Five explore the origins of modern morality and the relationship between religion and nihilism in the company of Nietzsche's On the Genealogy of Morality. (shrink)

This volume explores the intuitive yet puzzling concept of teleology as it has been treated by philosophers from the time of Plato and Aristotle to the present day. Philosophical discussions are enlivened and contextualized by reflections on the implications of teleology in medicine, art, poetry, and music.

Leibniz studies is a distinctive kind of joy. The seventeenth-century polymath made remarkable impacts in a wide-ranging number of domains and their subdomains. The attempt to study one domain in d...

Leibniz studies is a distinctive kind of joy. The seventeenth-century polymath made remarkable impacts in a wide-ranging number of domains and their subdomains. The attempt to study one domain in d...

R. M. Hare has argued for and defended a ‘two-level’, view of moral agency. He argues that moral agents ought to rely on the rules of ‘intuitive moral thinking’ for their ‘everyday’ moral judgments. When these rules conflict or when we do not have a rule at hand, we ought to ascend to the act-utilitarian,‘critical’ level of moral thinking. I argue that since the rules at the intuitive level of moral thinking necessarily conflict much more often than Hare supposes, and (...) since we often do not have ready-made rules for our moral judgments, we must necessarily use critical moral thinking very frequently. However, act-utilitarian judgements at this level will sharply conflict with our strongly held ‘intuitive’ moral convictions. I show that Hare’s attempt to balance these two aspects of moral judgment requires us to simultaneously adopt two conflicting sets of moral standards, and thus an attempt to inculcate such standards constitutes a ‘schizophrenic’ moral education. Finally, I briefly outline an alternative conception of moral education, based on Aristotelian phronesis. (shrink)

This paper focuses on an especially urgent challenge to the legitimacy of the common school ideal—a challenge that has hardly been addressed within contemporary debates within liberal philosophy of education. The challenge arises from claims to accommodation by queer people and queer communities—claims that are based on notions of queerness and queer identity that are seriously underrepresented within contemporary liberal political and educational theory. The paper articulates a liberal view of personal autonomy that is constituted by a conception of practical (...) reasoning rooted in thick communal experiences. It is argued that common schools concerned with equal concern for the autonomy of all children must attend to the specific communal requirements needed to developing the autonomous practical reasoning of queer children—requirements for what is termed a sense of ‘futurity’. Five practical recommendations for common schools are briefly outlined. The paper concludes with some reflections on the divergent and convergent interests of queer theory and liberalism, and considers some possibilities for a partial reconciliation of the two theoretical perspectives. (shrink)

Richard M. Gale Richard Gale was an American philosopher known for defending the A-theory of time against the B-theory. The A-theory implies, for example, that tensed predicates are not reducible to tenseless predicates. Gale also argued against the claim that negative truths are reducible to positive ones. He created a new modal version of … Continue reading Gale, Richard M. →.