In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:A Treatise on Efficacy: Between Western and Chinese ThinkingJeremy E. HenkelA Treatise on Efficacy: Between Western and Chinese Thinking. By François Jullien, translated by Janet Lloyd. Honolulu: University of Hawai'i Press, 2004. Pp. x + 202. $22.00.In A Treatise on Efficacy: Between Western and Chinese Thinking François Jullien argues that the different ways Chinese and Western thinkers have dealt with warfare and diplomacy reflect important differences (...) in how the two cultures understand human action in the world. When Chinese texts such as the Sunzi and the Guiguzi are set up as counterpoints to the Europeans Clausewitz and Machiavelli, Jullien argues that the Aristotelian inheritance of the latter pair is shown to be the cause of their inability to provide clean theories with the consistent predictive power they desired. Chinese strategists, by contrast, meet with no such limitations in the realm of human interaction. The basic difference between Western and Chinese thought that Jullien seeks to demonstrate is that "one constructs a model that is then projected onto the situation, which implies that the situation is momentarily 'frozen.' The other relies on the situation as on a disposition that is known to be constantly evolving" (p. 189; italics in original).Jullien's regular use of the generic terms "Western" and "Chinese" in constructing his comparison will likely give many comparative philosophers pause. But this [End Page 347] need not be a source of worry, as he is careful not to essentialize the two world-views. While he is pointing out patterns and tendencies in the thinking of Europe and China, he is not positing an essential incommensurable difference between them. Rather, he is pointing out that "what remains underdeveloped in the one context is more developed in the other" (p. 145). He goes on to say, "The purpose of our foray into China is not to imagine-let alone fabricate-other 'mentalities'.... It is simply to make use of other possible sources of intelligibility" (ibid.).Jullien begins by showing that Western thought regards human action as something that imposes itself on the world in order to bring about a predetermined goal. This is a natural consequence of the belief that the world is created: belief in creation implies something existing outside that creation, thus an intention behind that creation, and thus a transcendent norm toward which things within that creation aim. This two-leveled ontology of creator and creation yields a distinction between theory and practice, wherein practice always aims-and ultimately fails-at implementing an ideal that is established by theory. This worldview has led to demonstrable success in the sciences but meets with frequent frustration in the arena of human interaction. This limitation has been recognized by strategists in the West but has never been successfully resolved.Aristotle was the first to identify and try to resolve this problem. He posited phronesis as the skill that enables an individual to apply a model to the world successfully. For Aristotle such successful action consists of first identifying one's desired end and then reasoning back to one's present situation in order to establish the best means to achieve that end. Jullien's analysis shows that Clausewitz was working with the same model more than two thousand years later. Clausewitz believed that earlier attempts at creating a general theory of warfare had failed to achieve their goal-namely, to provide a model of warfare that a general could use to ensure victory-because the opponent's actions are unpredictable. The system that the military strategist is dealing with, then, is not mechanistic, and consequently plans are easily frustrated by ever-changing circumstances. But Clausewitz was unable to conceive of strategy as based on anything other than plans.For Clausewitz, warfare is composed of distinct engagements, separate moments in time where an army seeks to impose a plan on the world. Seeing warfare as composed of distinct moments means that time is an opponent, for time brings with it change and uncertainty and thus a greater chance that one's plans will be frustrated. Opportunity, then, is something unexpected-a chance happening at a specific moment that can be taken advantage of only... (shrink)

The first collection of Leibniz's key writings on the binary system, newly translated, with many previously unpublished in any language. -/- The polymath Gottfried Wilhelm Leibniz (1646–1716) is known for his independent invention of the calculus in 1675. Another major—although less studied—mathematical contribution by Leibniz is his invention of binary arithmetic, the representational basis for today's digital computing. This book offers the first collection of Leibniz's most important writings on the binary system, all newly translated by the authors with many (...) previously unpublished in any language. Taken together, these thirty-two texts tell the story of binary as Leibniz conceived it, from his first youthful writings on the subject to the mature development and publication of the binary system. -/- As befits a scholarly edition, Strickland and Lewis have not only returned to Leibniz's original manuscripts in preparing their translations, but also provided full critical apparatus. In addition to extensive annotations, each text is accompanied by a detailed introductory “headnote” that explains the context and content. Additional mathematical commentaries offer readers deep dives into Leibniz's mathematical thinking. The texts are prefaced by a lengthy and detailed introductory essay, in which Strickland and Lewis trace Leibniz's development of binary, place it in its historical context, and chart its posthumous influence, most notably on shaping our own computer age. (shrink)

Families play an essential role in deceased organ procurement. As the person cannot directly communicate his or her wishes regarding donation, the family is often the only source of information regarding consent or refusal. We provide a systematic description and analysis of the different roles the family can play, and actions the family can take, in the organ procurement process across different jurisdictions and consent systems. First, families can inform or update healthcare professionals about a person’s donation wishes. Second, families (...) can authorize organ procurement in the absence of deceased’s preferences and the default is not to remove organs, and oppose donation where there is no evidence of preference but the default is to presume consent; in both cases, the decision could be based on their own wishes or what they think the deceased would have wanted. Finally, families can overrule the known wishes of the deceased, which can mean preventing donation, or permitting donation when the deceased refused it. We propose a schema of 4 levels on which to map these possible family roles: no role, witness, surrogate, and full decisional authority. We conclude by mapping different jurisdictions onto this schema to provide a more comprehensive understanding of the consent system for organ donation and some important nuances about the role of families. This classificatory model aims to account for the majority of the world’s consent systems. It provides conceptual and methodological guidance that can be useful to researchers, professionals, and policymakers involved in organ procurement. (shrink)

This chapter examines the pioneering work of Gottfried Wilhelm Leibniz (1646-1716) on various number systems, in particular binary, which he independently invented in the mid-to-late 1670s, and hexadecimal, which he invented in 1679. The chapter begins with the oft-debated question of who may have influenced Leibniz’s invention of binary, though as none of the proposed candidates is plausible I suggest a different hypothesis, that Leibniz initially developed binary notation as a tool to assist his investigations in mathematical problems that were (...) exercising him at the time, namely those concerning the divisibility of composite numbers, primality, and perfect numbers. The chapter then explores Leibniz’s development of binary, his little-known work on binary fractions and expansions, his use of binary as a symbol for creation in his philosophical-theology, and his response to the suggestion that there was a correlation between binary numeration and the hexagrams of the ancient Chinese divinatory text, the Yijing. The chapter then focuses on Leibniz’s work on other number systems, in particular his invention and exploration of hexadecimal as well as his work on duodecimal. The chapter concludes by revealing a hitherto unknown practical application of binary that Leibniz devised in the last year of his life. (shrink)

A fresh translation and in-depth commentary of Leibniz's seminal text, the Monadology. -/- Written in 1714, the Monadology is widely considered to be the classic statement of Leibniz's mature philosophy. In the space of 90 numbered paragraphs, totalling little more than 6000 words, Leibniz outlines - and argues for - the core features of his philosophical system. Although rightly regarded as a masterpiece, it is also a very condensed work that generations of students have struggled to understand. -/- Lloyd (...) Strickland presents a new translation of the Monadology, alongside key parts of the Theodicy, and an in-depth, section-by-section commentary that explains in detail not just what Leibniz is saying in the text but also why he says it. The sharp focus on the various arguments and other justifications Leibniz puts forward makes possible a deeper and more sympathetic understanding of his doctrines. (shrink)

In 1682, Leibniz published an essay containing his solution to the classic problem of squaring the circle: the alternating converg-ing series that now bears his name. Yet his attempts to disseminate his quadrature results began seven years earlier and included four distinct approaches: the conventional (journal article), the grand (treatise), the impostrous (pseudepigraphia), and the extravagant (medals). This paper examines Leibniz’s various attempts to disseminate his series formula. By examining oft-ignored writings, as well as unpublished manuscripts, this paper answers the (...) question of how one of the greatest mathematicians sought to introduce his first great geometrical discovery to the world. (shrink)

Leave logic at the door and prepare to test your creative thinking skills with these 100 brand new lateral thinking puzzles. Each puzzle describes a situation which at first sounds odd or unlikely, and you have to work your way to the answer using creativity, imagination, and intuition. To cater for all ability levels, the 100 puzzles are arranged into Easy, Moderate, and Difficult categories, and a series of hints is provided for each puzzle to help you along if you (...) get stuck. As lateral thinking puzzles are fun, engaging, and make good icebreakers, they are a perennial favourite at dinner parties, break times, and social evenings. (shrink)

If business requires ethical solutions that are viable in the liminal landscape between concepts and corporate office, then business ethics and corporate social responsibility should offer tools that can survive the trek, that flourish in this well-traveled, but often unarticulated, environment. Indeed, feminist ethics produces, accesses, and engages such tools. However, work in BE and CSR consistently conflates feminist ethics and feminine ethics and care ethics. I offer clarification and invoke the analytic power of three feminist ethicists 'in action' whose (...) investigations into the "grey zones" of harms; identity and representational conventions; and "asymmetrical reciprocity" harmonize with business ethics' requirements. (shrink)

Leibniz’s lengthy theological treatise, Examen religionis christianae, has long puzzled scholars. Although a lifelong Lutheran who spurned many attempts to convert him to Catholicism, in the Examen Leibniz defends the Catholic position on a range of matters of controversy, from justification of the sinner to transubstantiation, from veneration of images to communion under both kinds. Inevitably, when finally published in 1819, the Examen quickly became the focus of a heated and sometimes ill-tempered debate about Leibniz’s true religious commitments. For many, (...) what was at stake was not simply the interpretation of a particular text but the very soul of Leibniz, that universal genius and ornament of Europe. The aim of this paper is to chart the various ways in which the earliest readers of the Examen responded to the text and sought to understand it. Such a study will enable us not only to see the varying and quite contrasting interpretations put forward for Leibniz’s motive for writing the Examen, some of which inform contemporary interpretations, but also give us the opportunity to take a deeper look at certain features of the text and the context in which it was written. (shrink)

Gottfried Wilhelm Leibniz (1646–1716) was a universal genius, making original contributions to law, mathematics, philosophy, politics, languages, and many areas of science, including what we would now call physics, biology, chemistry, and geology. By profession he was a court counselor, librarian, and historian, and thus much of his intellectual activity had to be fit around his professional duties. Leibniz’s fame and reputation among his contemporaries rested largely on his innovations in the field of mathematics, in particular his discovery of the (...) calculus in 1675. Another of his enduring mathematical contributions was his invention of binary arithmetic, though the significance of this was not recognized until the 20th century. These days, a good proportion of scholarly interest in Leibniz is focused on his philosophy. Among his signature philosophical doctrines are the pre-established harmony, the theory of monads, and the claim that ours is the best of all possible worlds, which forms the central plank of his theodicy. For Leibniz, philosophy was not the discovery of deep truths of interest only to other philosophers, but a practical discipline with the means to increase happiness and well-being. Philosophical truths, he believed, revealed the beauty and rational order of the universe, and the justice and wisdom of its creator, and accordingly could inspire contentment and peace of mind. Leibniz’s other intellectual projects were likewise geared toward the improvement of the human condition. He lobbied tirelessly for the establishment of scientific societies, devised measures to improve public health, and was actively engaged in projects to unite the churches and so end the religious strife that marred the Europe of his day. He was also engaged in politics for much of his career, and often took on a diplomatic role, sometimes officially and other times not. In the political sphere, Leibniz did not wield true power but was a man with influence, obtained in no small part by his cultivation of relationships with leaders and sovereigns both inside and outside Germany. The sheer range of Leibniz’s interests, projects, and activities can make him a difficult figure to study, and the vast quantity of his writings only compounds the problem (around fifty thousand of his writings survive). Nevertheless, even a sampling of Leibniz’s work is enough to get a sense of his vision, originality, and intellectual depth, and good secondary literature will only enhance this. The items in this bibliography were chosen with this in mind. (shrink)

Philosophical discussions of gentrification have tended to focus on residential displacement. However, the prevalence of residential displacement is fiercely contested, with many urban geographers regarding it as quite uncommon. This lends some urgency to the underexplored question of how one should evaluate other forms of gentrification. In this paper, I argue that one of the most important harms suffered by victims of displacement gentrification is loss of access to the goods conferred by membership in a thriving local community. Leveraging the (...) social scientific literature, I go on to argue that non-displacement gentrification also often damages local communities. One can hence extend existing philosophical critiques of displacement gentrification to argue that non-displacement gentrification likewise poses a threat to relational equality, and often violates certain basic occupancy rights. Focusing on the value that inheres in thriving local communities also suggests some new possibilities for critiquing gentrification. For instance, existing occupancy rights critiques focus on incumbent land users’ interests in stability. However, one can also argue in a Lockean mode that incumbent land users’ occupancy rights are at least partially grounded in their community having laboured together to create objects of value. An extension of Michael Walzer’s theory of justice to incorporate community goods as a separate ‘sphere’ might also have widespread appeal. Taken together, these arguments constitute a sustained and theoretically ecumenical case for the pro tanto moral objectionability of gentrification. (shrink)

As well as disagreeing about how much one should donate to charity, moral theories also disagree about where one should donate. In light of this disagreement, how should the morally uncertain philanthropist allocate her donations? In many cases, one intuitively attractive option is for the philanthropist to split her donations across all of the charities that are recommended by moral views in which she has positive credence, with each charity’s share being proportional to her credence in the moral theories that (...) recommend that particular charity. Despite the fact that something like this approach is already being used by real-world philanthropists to distribute billions of dollars of donations, it is not supported by any of the approaches to moral uncertainty that have been proposed thus-far in the philosophical literature. In this paper, we will develop a bargaining-based approach to moral uncertainty that honors the proportionality intuition in favor of splitting one’s donations. We also show how this bargaining-based approach has several further advantages over the best alternative proposals. (shrink)

** This piece was originally titled "Beyond Borders: Exploring Ubuntu as a Lived Philosophy" but was later retitled "African thought can rescue Western philosophy" by the publisher. ** -/- Western philosophy is often abstract and disconnected from the real ethical problems we face today. Emmanuel Chiwetalu Ossai and Lloyd Strickland argue that the African philosophy of ubuntu, with its emphasis on community, interconnectedness, and practical application of ethical principles, offers a compelling alternative.

This piece was originally titled "Racism, Chauvinism and Prejudice in the History of Philosophy" but was later retitled "How Western Philosophy Became Racist" by the publisher.

This paper is concerned with Leibniz's doctrine of “universal rational religion,” i.e. a religion derived from reason and hence accessible to all, Christians and non-Christians alike, by virtue of the universality of reason. In this paper I shall identify some of the key theological truths and doctrines that Leibniz believed could be reached via reason, and as such would be accessible to non-Christians. While Leibniz held that there were a number of theological truths and doctrines that were potentially available to (...) all, he also acknowledged that non-Christians had enjoyed very limited success in reaching them. I end the paper by identifying Leibniz’s explanation for this. (shrink)

The oft-told story of Leibniz’s doctrine of the best world, or optimism, is that it enjoyed a great deal of popularity in the eighteenth century until the massive earthquake that struck Lisbon on 1 November 1755 destroyed its support. Despite its long history, this story is nothing more than a commentators’ fiction that has become accepted wisdom not through sheer weight of evidence but through sheer frequency of repetition. In this paper we shall examine the reception of Leibniz’s doctrine of (...) the best world in the eighteenth century in order to get a clearer understanding of what its fate really was. As we shall see, while Leibniz’s doctrine did win a good number of adherents in the 1720s and 1730s, especially in Germany, support for it had largely dried up by the mid-1740s; moreover, while opponents of Leibniz’s doctrine were few and far between in the 1710s and 1720s, they became increasing vocal in the 1730s and afterwards, between them producing an array of objections that served to make Leibnizian optimism both philosophically and theologically toxic years before the Lisbon earthquake struck. (shrink)

In philosophical circles, Electress Sophie of Hanover (1630-1714) is known mainly as the friend, patron, and correspondent of Leibniz. While many scholars acknowledge Sophie's interest in philosophy, some also claim that Sophie dabbled in philosophy herself, but did not do so either seriously or competently. In this paper I show that such a view is incorrect, and that Sophie did make interesting philosophical contributions of her own, principally concerning the nature of mind and thought.

Deception, like coercion, can invalidate the moral force of consent. In the sexual domain, when someone is deceived about some feature of their partner, knowledge of which would be dispositive of their decision to have sex – a dealbreaker – the moral validity of their consent is undermined. I argue that in order to determine whether someone has discharged their duties of disclosure in the sexual domain, we should ask whether, upon receiving a token of consent to sex, they have (...) a justified belief that their partner would consent to the sexual encounter given all the features that it has. I argue that whether an agent has a justified belief in this proposition is a function of the agent’s body of evidence and which alternatives uneliminated. (shrink)

This paper examines the fortunes of non-European philosophies in histories of philosophy written by European and American philosophers from the 17th century to the present day. It charts the shift from inclusive histories of philosophy, which included non-European philosophies, to exclusive histories of philosophy, which excluded and/or marginalized non-European philosophies, at the end of the 18th century. This shift was motivated by racial Eurocentrism, which cast a long shadow over histories of philosophy written during the 19th and 20th centuries. The (...) paper also considers recent attempts to produce a more inclusive history of philosophy. By examining the history of the inclusion and exclusion of non-European philosophies in histories of philosophy, this paper seeks to challenge the assumption that philosophy began and has been practised exclusively by European or western thinkers. (shrink)

This paper examines visual representation from a distinctive, interdisciplinary perspective that draws on ethics, visual studies and critical race theory. Suggests ways to clarify complex issues of representational ethics in marketing communications and marketing representations, suggesting an analysis that makes identity creation central to societal marketing concerns. Analyzes representations of the exotic Other in disparate marketing campaigns, drawing upon tourist promotions, advertisements, and mundane objects in material culture. Moreover, music is an important force in marketing communication: visual representations in music (...) promotions are also explored as data for inquiry. Offers an alternative to phenomenologically based approaches in marketing and consumer research scholarship that use consumer responses to generate data. Contributes additional insight into societal marketing and places global marketing processes within the intersection of ethics, aesthetics and representation. (shrink)

We make character trait attributions to predict and explain others’ behaviour. How should we understand character trait attribution in context across the domains of philosophy, folk psychology, developmental psychology, and evolutionary psychology? For example, how does trait attribution relate to our ability to attribute mental states to others, to ‘mindread’? This thesis uses philosophical methods and empirical data to argue for character trait attribution as a practice dependent upon our ability to mindread, which develops as a product of natural selection (...) acting on culture instead of genes. This analysis carves out trait attribution’s distinct place within an emerging complex and mature scholarship on pluralistic social cognition. (shrink)

Leibniz wished that his Theodicy (1710) would have as great and as wide an impact as possible, and to further this end we find him in his correspondence with Caroline often expressing his desire that the book be translated into English. Despite his wishes, and Caroline’s efforts, this was not to happen in his lifetime (indeed, it did not happen until 1951, almost 250 years after Leibniz’s death). But even though the Theodicy did not make quite the impact in England (...) that Leibniz had hoped it would, it did draw some attention from the English intelligentsia. In this paper I shall focus on two responses to the Theodicy that were made in England in the years immediately following its publication. First, I shall consider the response of Michel de la Roche and his efforts to promote the book to an English audience in 1711 (efforts which only came to Leibniz’s attention much later, in 1713). De la Roche’s response was broadly positive, though his admiration for the Theodicy was tempered by his belief that Leibniz had struggled – unsuccessfully – to reconcile free will with divine foreknowledge. Second, I shall consider the largely negative response of George Smalridge, the Bishop of Bristol, who delivered his verdict on the book in a letter to Sophie written in 1714. Leibniz subsequently wrote a point-by-point rebuttal of (most of) Smalridge’s criticisms in a letter to Caroline, conceding only one very minor point to the Bishop. As we shall see, some of the points of substance raised by de la Roche and Smalridge have loomed over the Theodicy ever since. (shrink)

Our reluctance to demystify grief is a sign of the distinctive obligation and discomfort that people feel towards those who have died. These feelings, however, are instructive about the nature of grief. As a vehicle of a living person’s relation to the dead, grief is mysterious—and we are rightly reluctant to take that mystery away. But grief is not to be avoided by philosophy on that account. I defend a less Romantic view of grief, in which a grieving person’s experience (...) of “normal” grief: 1) is felt to require an objectively recognized loss; 2) is felt to be dedicated to that lost object; 3) seems to most people to be something that she ought to feel; and 4) probably ought not to be medicalized, nor consequently medicated. This view of grief affords an understanding and appreciation of this rather special and important emotion without reducing its mystery. (shrink)

Kevin Elliott’s A Tapestry of Values is a terrific book, chock full of valuable case studies and incisive analyses. It aims to be useful not only to students of philosophy of science and the other areas of science studies but also to practicing scientists, policymakers, and the public at large—a tall order. And it succeeds admirably for many of these folks. In my comments I suggest what it would need for the rest.

The impression we are often given by historians of philosophy is that the readiness of medieval philosophers to appeal to authorities, such as The Bible, the Church, and Aristotle, was not shared by many early modern philosophers, for whom there was a marked preference to look for illumination via experience, the exercise of reason, or a combination of the two. Although this may be accurate, broadly speaking, it is notable that, in spite of the waning enthusiasm for deferring to traditional (...) authorities, appeals to scripture remained commonplace in the work of early modern philosophers. In order to understand the philosophers of the early modern period, the philosophies they developed, and the debates they fought, we need to understand how they used scripture. This paper is intended to contribute to this desideratum by examining how scripture was used by those who engaged in a particular debate within natural philosophy, the so-called beast-machine controversy of the 17th and 18th centuries. (shrink)

Written in 1714, the “Monadology” is widely regarded as a classic statement of much of Leibniz’s mature philosophical system. In just 90 numbered paragraphs, Leibniz outlines—and argues for—the core features of his system, starting with his famous doctrine of monads (simple substances) and ending with the uplifting claim that God is concerned not only for the world as a whole but for the welfare of the virtuous in particular. This chapter begins by considering the circumstances of composition of the “Monadology” (...) and its publication history before offering a detailed analysis of the claims and arguments found therein; I suggest the text is best read as dealing with three distinct realms, the metaphysical (§§1–-60), the physical (§§61–-82), and lastly the moral (§§83–-90). The chapter concludes with a consideration of the fate and influence of this seminal text. (shrink)

One of the most pressing philosophical problems in early modern Europe concerned how the soul and body could form a unity, or, as many understood it, how these two substances could work together. It was widely believed that there were three (and only three) hypotheses regarding the union of soul and body: (1) physical influence, (2) occasionalism, and (3) pre-established harmony. However, in 1763, a fourth hypothesis was put forward by the French thinker André-Pierre Le Guay de Prémontval (1716–1764). Prémontval’s (...) hypothesis, given the grand name of “psychocracy” (i.e., the dominion or the rule of the soul), held that there was a real influence between soul and body, but that this was an immaterial kind of influence as opposed to the physical kind that had been entertained heretofore. Prémontval’s hypothesis is the focus of this paper. I shall begin by sketching out the details of Prémontval’s hypothesis (Section 1), then proceed to consider its claims to constitute a true fourth hypothesis distinct from the other three (Section 2), before closing by briefly considering two objections and the responses either that Prémontval himself made or that may be made on his behalf (Section 3). (shrink)

Daniel Kodaj has recently developed a pro-atheistic argument that he calls “the problem of religious evil.” This first premise of this argument is “belief in God causes evil.” Although this idea that belief in God causes evil is widely accepted, certainly in the secular West, it is sufficiently problematic as to be unsuitable as a basis for an argument for atheism, as Kodaj seeks to use it. In this paper I shall highlight the problems inherent in it in three ways: (...) by considering whether it is reasonable to say that “belief in God” causes evil; whether it is reasonable to say that belief in God “causes” evil; and whether it is reasonable to say that belief in God causes “evil.” In each case I will argue that it is problematic to make such claims, and accordingly I will conclude that the premise “belief in God causes evil” is unacceptable as it stands, and consequently is unable to ground Kodaj’s pro-atheistic argument. (shrink)

This book presents new research into key areas of the work of German philosopher and mathematician Gottfried Wilhelm Leibniz (1646-1716). Reflecting various aspects of Leibniz's thought, this book offers a collection of original research arranged into four separate themes: Science, Metaphysics, Epistemology, and Religion and Theology. With in-depth articles by experts such as Maria Rosa Antognazza, Nicholas Jolley, Agustín Echavarría, Richard Arthur and Paul Lodge, this book is an invaluable resource not only for readers just beginning to discover Leibniz, but (...) also for scholars long familiar with his philosophy and eager to gain new perspectives on his work. (shrink)

Leibniz’s commitment to Christianity has been questioned for centuries; even today, some scholars claim that he was inclined towards deism or little more than a pagan metaphysician. Such an interpretation seems prima facie to be at odds with certain Christianized features of Leibniz's work, such as his decision to advance a solution to 'the Jehoshaphat problem', the problem of whether (or how) all the humans who have ever lived can simultaneously fit into the valley of Jehoshaphat. This problem has its (...) roots in both scripture and Christian tradition, and is therefore one that would not be of concern to a non-Christian. Leibniz treated the Jehoshaphat problem twice in his work (in 1711 and 1715); I examine both of these treatments in depth, and consider what conclusions should be drawn from them with regard to Leibniz’s commitment to Christianity. (shrink)

Much debate in contemporary metaphysics of time has centred on whether or not tense is essential to the understanding of a temporal reality. The rival positions in this debate are associated with two very different pictures of the relationship between time and existence. Those who argue for the dispensability of tense see the phenomenon of tense as an epistemological accretion which infects our perception of the world but is in no way essential to a complete description of reality. With respect (...) to existence, things past and future are supposed to be on an equal footing with things present. Thus the Quinean ‘time slice’ ontology, which sees the world as a four-dimensional entity in space-time, repudiates any ontological significance to the differences between past, present and future. For the Quinean, what differences we see between past, present and future existents pertain to our limited mode of access to reality. In a perception which grasped the world as it really is tense differences would have no place. In this respect the Quinean position resembles Spinoza's claim in the Ethics that in so far as the mind conceives a thing under the dictates of reason it is affected equally, whether the idea be of a thing future, past or present. (shrink)

From the early eighteenth century onward, primacy for the invention of binary numeration and arithmetic was almost universally credited to the German polymath Gottfried Wilhelm Leibniz (1646–1716). Then, in 1922, Frank Vigor Morley (1899–1980) noted that an unpublished manuscript of the English mathematician, astronomer, and alchemist Thomas Harriot (1560–1621) contained the numbers 1 to 8 in binary. Morley’s only comment was that this foray into binary was “certainly prior to the usual dates given for binary numeration”. Almost thirty years later, (...) John William Shirley (1908–1988) published reproductions of two of Harriot’s undated manuscript pages, which, he claimed, showed that Harriot had invented binary numeration “nearly a century before Leibniz’s time”. But while Shirley correctly asserted that Harriot had invented binary numeration, he made no attempt to explain how or when Harriot had done so. Curiously, few since Shirley’s time have attempted to answer these questions, despite their obvious importance. After all, Harriot was, as far as we know, the first to invent binary. Accordingly, answering the how and when questions about Harriot’s invention of binary is the aim of this short paper. (shrink)

The mathematical developments of the 19th century seemed to undermine Kant’s philosophy. Non-Euclidean geometries challenged Kant’s view that there is a spatial intuition rich enough to yield the truth of Euclidean geometry. Similarly, advancements in algebra challenged the view that temporal intuition provides a foundation for both it and arithmetic. Mathematics seemed increasingly detached from experience as well as its form; moreover, with advances in symbolic logic, mathematical inference also seemed independent of intuition. This paper considers various philosophical responses to (...) these changes, focusing on the idea of modifying Kant’s conception of intuition in order to accommodate the increasing abstractness of mathematics. It is argued that far from clinging to an outdated paradigm, programs based on new conceptions of intuition should be seen as motivated by important philosophical desiderata, such as the truth, apriority, distinctiveness and autonomy of mathematics. (shrink)

In this volume, Lloyd Strickland makes the key philosophical writings of maverick Enlightenment philosopher André-Pierre Le Guay de Prémontval available in English for the first time. His writings contain many provocative ideas and arguments, and anticipate modern developments such as open theism, process theology, and animal theodicy.

We sley Salmon, in his influential and detailed book, Four Decades of Scientific Explanation, argues that the pragmatic approach to scientific explanation, “construed as the claim that scientific explanation can be explicated entirely in pragmatic terms” (1989, 185) is inadequate. The specific inadequacy ascribed to a pragmatic account is that objective relevance relations cannot be incorporated into such an account. Salmon relies on the arguments given in Kitcher and Salmon (1987) to ground this objection. He also suggests that Peter Railton’s (...) concepts of the ideal explanatory text and explanatory information (Railton 1981) can provide what the pragmatic approach lacks. This suggestion is not a conclusion of course; we read it as the promotion of part of a research program aimed at forging a greater consensus on scientific explanation-an admirable goal. However, we do not see the pragmatic approach as inadequate. We will show that a synthetic account inspired by Salmon’s adaptation of Railton would be equivalent to van Fraassen’s pragmatic account in three respects: accepting or rejecting requests for explanation; the practice of giving scientific explanations; and the evaluation of the goodness of explanations. We include all three under the general rubric of explanatory “practice.” Admittedly these are not the only three features by which an account of explanation might be evaluated. Roughly, we mean to show that a synthetic account cannot do a better job of accounting for the scientific practices which are of importance to the constructive empiricist, and therefore no argument can be presented to the constructive empiricist to convince her that by her own standards the synthetic account is superior. (shrink)

A question that has been largely overlooked by philosophers of religion is how God would be able to effect a rational choice between two worlds of unsurpassable goodness. To answer this question, I draw a parallel with the paradigm cases of indifferent choice, including Buridan's ass, and argue that such cases can be satisfactorily resolved provided that the protagonists employ what Otto Neurath calls an ‘auxiliary motive’. I supply rational grounds for the employment of such a motive, and then argue (...) against the views of Leibniz and Nicholas Rescher to show that this solution would also work for God. (shrink)

One of the more exotic and mysterious features of Leibniz’s later philosophical writings is the harmony between the kingdom of nature and the kingdom of grace. In this paper I show that this harmony is not a single doctrine, but rather a compilation of two doctrines, namely (1) that the order of nature makes possible the rewards and punishments of rational souls, and (2) that the rewards and punishments of rational souls are administered naturally. I argue that the harmony is (...) best considered as Leibniz’s distinctive collation, development, and rebranding of these doctrines, which were not themselves unique to Leibniz, nor uncommon in the seventeenth century. There follows a detailed examination of various concrete examples of the harmony in operation, from which I show that it is essentially the culmination of Leibniz’s lifelong thinking about divine justice. (shrink)

The present discussion takes up an issue raised in Section 5 of Ross Brady and Penelope Rush’s paper ‘Four Basic Logical Issues’ concerning the (claimed) triviality – in the sense of automatic availability – of soundness and completeness results for a logic in a metalanguage employing at least as much logical vocabulary as the object logic, where the metalogical behaviour of the common logical vocabulary is as in the object logic. We shall see – in Propositions 4.5–4.7 – that this (...) triviality claim faces difficulties in the face of Halldén incompleteness, for essentially the same reasons that Halldén thought this phenomenon raised seman- tic difficulties for the modal logics of C. I. Lewis exhibiting it. To counter any inclination to dismiss the phenomenon as providing at best a marginal range of counterexamples to the triviality claim, a Postscript assembles some reminders of the extent of – and the varied considerations favouring – Halldén incompleteness. (shrink)