The paper argues that the moral philosophy of Thomas Hobbes is unified by a complex conception of reason that imposes consistency norms of both rationality and reasonableness. Hobbes’s conceptions of rightness as reciprocity, and moral goodness as sociability belong to an original and attractive moral theory that is neither teleological nor classically deontological, nor as interpreters have variously argued, subjectivist, contractarian, egoist, or dependent on divine command.

The focus of this paper is a suite of Latin papers from 1685, some of which are still unpublished, in which Leibniz writes in the guise of a Catholic in order to defend Catholicism and counter Protestant objections, and this despite him being a lifelong Lutheran. After providing an overview of these writings (which I refer to as Leibniz’s “Catholic” writings) and the grounds for dating them to May–June 1685, I consider their purpose, arguing against the claim that they were (...) intended to support Church reunion and suggesting instead that they were apologetic in nature, intended as a reactivation or reimagining of Leibniz’s earlier “Catholic Demonstrations” project. I identify the patron Leibniz had in mind for these writings as Landgrave Ernst von Hessen-Rheinfels and support this by a detailed comparison of the “Catholic” writings with the Leibniz-Landgrave correspondence and the Landgrave’s still-unpublished essays. This reveals that the Protestant arguments Leibniz uses in the “Catholic” writings are the very ones that he himself used when writing to the Landgrave, and that the responses Leibniz gives to these arguments are the very ones that the Landgrave used. I also consider the context of the writings, suggesting they were crafted during a period of personal uncertainty for Leibniz and possibly aimed at securing a position under the Landgrave. (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)

When natural selection theory was presented, much active philosophical debate, in which Darwin himself participated, centered on its hypothetical nature, its explanatory power, and Darwin's methodology. Upon first examination, Darwin's support of his theory seems to consist of a set of claims pertaining to various aspects of explanatory success. I analyze the support of his method and theory given in the Origin of Species and private correspondence, and conclude that an interpretation focusing on the explanatory strengths of natural selection theory (...) accurately reflects neither Darwin's own self-consciously held views, nor the nature of his support. Darwin's methodological and philosophical arguments were at once consistently empiricist and more sophisticated than such interpretations credit to him. (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)

This paper is concerned with Leibniz’s Egypt Plan, written in 1671 and 1672, when Leibniz was in the service of the Elector of Mainz. One of the aims of this paper is to offer a more balanced and plausible reading of the religious benefits of war that Leibniz outlines in his Egypt plan.

In 1753, the Berlin Academy announced that the focus of the prize essay contest of 1755 would be optimism, with entrants required (among other things) ‘to put forward arguments that will be thought most fitting to confirm or destroy this system’. In line with these instructions, entrants submitted essays that were either pro- or anti-optimism. This was to the dismay of one of the judges of the contest, André-Pierre Le Guay de Prémontval (1716–1764), who had, by his own admission, surreptitiously (...) attempted to influence the entrants by sketching out a ‘middle point’ between the polarized pro- and anti-optimist positions in a series of books published between 1754 and 1755, namely Thoughts on Freedom, The Diogenes of d’Alembert, and On Chance under the Rule of Providence. The aim of this essay is to elucidate and historically contextualize Prémontval’s highly original ‘middle point’, as outlined implicitly in the aforementioned books and much more explicitly in a series of essays published after the essay contest had concluded. (shrink)

This paper is concerned with Leibniz’s Egypt Plan, written in 1671 and 1672, when Leibniz was in the service of the Elector of Mainz. One of the aims of this paper is to offer a more balanced and plausible reading of the religious benefits of war that Leibniz outlines in his Egypt plan.

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)

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)

Recent philosophical attention to climate models has highlighted their weaknesses and uncertainties. Here I address the ways that models gain support through observational data. I review examples of model fit, variety of evidence, and independent support for aspects of the models, contrasting my analysis with that of other philosophers. I also investigate model robustness, which often emerges when comparing climate models simulating the same time period or set of conditions. Starting from Michael Weisberg’s analysis of robustness, I conclude that his (...) approach involves a version of reasoning from variety of evidence, enabling this robustness to be a confirmatory virtue.. (shrink)

In some lottery situations, the probability that your ticket's a loser can get very close to 1. Suppose, for instance, that yours is one of 20 million tickets, only one of which is a winner. Still, it seems that (1) You don't know yours is a loser and (2) You're in no position to flat-out assert that your ticket is a loser. "It's probably a loser," "It's all but certain that it's a loser," or even, "It's quite certain that it's (...) a loser" seem quite alright to say, but, it seems, you're in no position to declare simply, "It's a loser." (1) and (2) are closely related phenomena. In fact, I'll take it as a working hypothesis that the reason "It's a loser" is unassertable is that (a) You don't seem to know that your ticket's a loser, and (b) In flat-out asserting some proposition, you represent yourself as knowing it.1 This working hypothesis will enable me to address these two phenomena together, moving back and forth freely between them. I leave it to those who reject the hypothesis to sort out those considerations which properly apply to the issue of knowledge from those germane to that of assertability. Things are quite different when you report the results of last night's basketball game. Suppose your only source is your morning newspaper, which did not carry a story about the 1 game, but simply listed the score, "Knicks 83, at Bulls 95," under "Yesterday's Results." Now, it doesn't happen very frequently, but, as we all should suspect, newspapers do misreport scores from time to time. On several occasions, my paper has transposed a result, attributing to each team the score of its opponent. In fact, that your paper's got the present result wrong seems quite a bit more probable than that you've won the lottery of the above paragraph. Still, when asked, "Did the Bulls win yesterday?", "Probably" and "In all likelihood" seem quite unnecessary. "Yes, they did," seems just fine.. (shrink)

The emphasis on the limitations of objectivity, in specific guises and networks, has been a continuing theme of contemporary analytic philosophy for the past few decades. The popular sport of baiting feminist philosophers — into pointing to what's left out of objective knowledge, or into describing what methods, exactly, they would offer to replace the powerful objective methods grounding scientific knowledge — embodies a blatant double standard which has the effect of constantly putting feminist epistemologists on the defensive, on the (...) fringes, on the run.This strategy can only work if objectivity is transparent, simple, stable, and clear in its meaning. It most certainly is not. In fact, taking objectivity as a sort of beautiful primitive, self-evident in its value, and all-powerful in its revelatory power, requires careless philosophy, and the best workers in metaphysics, epistemology, and philosophy of science have made reworked definitions of objectivity absolutely central to their own projects. In fact, classic feminist concerns with exploring the impact of sex and gender on knowledge, understanding, and other relations between human beings and the rest of the world fall squarely within the sort of human and social settings thatare already considered central in most current analytic metaphysics, epistemology, and philosophy of science. I argue that the burden of proof is clearly on those who wish toreject the centrality and relevance of sex and gender to our most fundamental philosophical work on knowledge and reality. (shrink)

At the end of 1671 and start of 1672, while in the service of the Archbishop and Elector of Mainz, Leibniz composed his Egypt Plan, which sought to persuade Louis XIV to invade Egypt. Scholars have generally supposed that Leibniz’s rationale for devising the plan was to divert Louis from his intended war with Holland. Little attention has been paid to the religious benefits that Leibniz identified in the plan, and those who do acknowledge them are often quick to downplay (...) them. This tendency to downplay or even dismiss the religious benefits Leibniz claimed of the Egypt Plan is undermotivated and stems from a very superficial reading of the documents that together comprise it. In this paper I argue that we should take seriously Leibniz’s claim that a French invasion of Egypt would bring religious benefits, and that he saw them as important and intrinsically desirable inasmuch as he came to believe that the execution of the plan would lead to the flowering of co-operation and brotherhood among Christians in a show of inter-denominational koinonia, that is, fellowship with other Christians in the participation of shared goals. (shrink)

The “Discourse on Metaphysics” is widely considered to be Leibniz’s most important philosophical work from his so-called “middle period”. Written early in 1686, when Leibniz was 39 years old, it consolidates a number of philosophical ideas that he had developed and sketched out in the years beforehand in a host of short private essays, fragments, and letters. This chapter guides the reader through the key themes of the “Discourse”, such as God’s choice of the best, the nature of substance, final (...) causes, and the relationship between soul and body. The essay concludes with a consideration of what prompted Leibniz to write the “Discourse”; I suggest that the “Discourse” is likely to have been conceived as an attempt to reach supporters of Descartes and Malebranche, not only to challenge key tenets of their respective philosophies but also to present a viable alternative. (shrink)

I suggest following Paul Feyerabend's own advice, and interpreting Feyerabend's work in light of the principles laid out by John Stuart Mill. A review of Mill's essay, On Liberty, emphasizes the importance Mill placed on open and critical discussion for the vitality and progress of various aspects of human life, including the pursuit of scientific knowledge. Many of Feyerabend's more unusual stances, I suggest, are best interpreted as attempts to play certain roles--especially the role of "defender of unpopular minority opinion"--that (...) are necessary to fulfilling Mill's conditions for rational exchange and optimal human development. (shrink)

A precise formulation of the structure of modern evolutionary theory has proved elusive. In this paper, I introduce and develop a formal approach to the structure of population genetics, evolutionary theory's most developed sub-theory. Under the semantic approach, used as a framework in this paper, presenting a theory consists in presenting a related family of models. I offer general guidelines and examples for the classification of population genetics models; the defining features of the models are taken to be their state (...) spaces, parameters, and laws. The suggestions regarding the various aspects of the characterization of population genetics models provide an outline for further detailed research. (shrink)

Mein Ziel in dieser Arbeit ist es zu bestimmen, in welchem Umfang Leibniz moderne Ansichten in drei Bereichen der Biologie vertreten hat, nämlich in der Frage zum Ursprung von Fossilien, zum Aussterben von Arten und zur Evolution von Arten. In neuerer Zeit haben Forscher behauptet, Leibniz hätte folgende Thesen akzeptiert: (1) Fossilien haben einen organischen Ursprung; (2) einige Arten sind ausgestorben; (3) einige Arten haben sich im Laufe der Zeit entwickelt. Anhand der Betrachtung einer Reihe von Leibniz' Schriften, eingeschlossen solche, (...) die vielfach übersehen wurden, zeige ich, dass diese Behauptungen falsch und dass Leibniz' tatsächliche Ansichten zu diesen Fragen wie folgt sind: (1) einige Fossilien haben einen organischen Ursprung; (2) während die Arten selbst nicht ausgestorben sind, sind es aber einige Unterarten; (3) während sich die Arten selbst nicht entwickelt haben, hat es Evolution innerhalb von Artengruppen gegeben. Diese Ansichten, so meine Argumentation, sind überhaupt nicht besonders „modern", und sie fielen mit Sicherheit nicht aus dem Rahmen des späten 17. und frühen 18. Jahrhunderts. (shrink)

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)

Although the historical reputation of Gottfried Wilhelm Leibniz (1646–1716) largely rests on his philosophical and mathematical work, it is widely known that he made important contributions to many of the emerging but still inchoate branches of natural science of his day. Among the many scientific papers Leibniz published during his lifetime are ones on the nascent science we now know as hydrology. While Leibniz’s other scientific work has become of increasing interest to scholars in recent years, his thinking about hydrology (...) has been neglected, despite being relatively broad in extent, including as it does papers on the ‘raising of vapours’ and the formation of ice, as well as the separation of salt and fresh water. That list can now be extended still further following the discovery of a previously unpublished letter of Leibniz’s on the causes of the devastating Lombardy flood of October and November 1705. This letter, which will be the focus of our paper, reveals the depth of Leibniz’s understanding of key hydrological processes. In it, he considers various mechanisms for the flood, such as heavy rains on high ground, underwater earthquakes, and a mountain collapse. Over the course of the paper we examine each of these mechanisms in depth, and show that Leibniz was in the vanguard of hydrological thinking. We also show that the letter contains one of the first scholarly attempts to apply aspects of the still-forming notion of the hydrological cycle to account for a flood event. (shrink)

Effects of perceived control and close alternative outcomes were examined. Subjects played a computer-simulated "wheel-of-fortune" game with another player in which two wheels spun simultaneously. Subjects had either control over spinning the wheel or control over which wheel would determine their outcome and which would determine the other player's outcome. Results showed that (a) subjects generated counterfactuals about the aspect of the game that they controlled, (b) the direction of these counterfactuals corresponded to the close outcome associated with the aspect (...) they controlled, and (c) close counterfactuals predicted affective responses to the outcome of the wheel spin. Cognitive and motivational implications of the influence of perceived control on counterfactual generation are discussed. (shrink)

One of the most original contributions to the optimism debate of the eighteenth century was put forward by the maverick French Enlightenment thinker, André-Pierre Le Guay de Prémontval, in an essay entitled “General misunderstanding on the question of optimism”. This essay, which seeks to develop a “middle point” between the polarized pro- and anti-optimist positions that characterized the optimism debate, prefigures the development of process or neoclassical theism in important ways. The essay is presented here in English for the first (...) time, along with an analysis of the essay itself and of the context in which it was written. (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)

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)

Quassim Cassam has argued that psychological and epistemological analyses of conspiracy theories threaten to overlook the political nature of such theories. According to Cassam, conspiracy theories are a form of political propaganda. I develop a limited critique of Cassam's analysis.This paper advances two core theses. First, acceptance of conspiracy theories requires a rejection of epistemic authority that renders conspiracy theorists susceptible to co-option by certain political programs while insulating such programs from criticism. I argue that the contrarian nature of conspiracy (...) theories partially accounts for the prominence of such theories in populist movements.Second, the contrarian nature of conspiracy theories partially accounts for their attractiveness, especially among those to whom populism already appeals. I argue that for those who resent what appears from their perspective as the shaping of the epistemic landscape by alien perspectives, conspiracy theorizing may facilitate the reassertion of epistemic autonomy. (shrink)

In early modern times it was not uncommon for thinkers to tease out from the nature of God various doctrines of substantial physical and metaphysical import. This approach was particularly fruitful in the so-called beast-machine controversy, which erupted following Descartes’ claim that animals are automata, that is, pure machines, without a spiritual, incorporeal soul. Over the course of this controversy, thinkers on both sides attempted to draw out important truths about the status of animals simply from the notion or attributes (...) of God. Automatists – led by Nicolas Malebranche and Antoine Dilly – developed six such arguments, appealing to divine justice, providence, economy, glory (twice) and wisdom, while opponents to animal automatism developed two arguments, appealing to divine wisdom and goodness. In this article I shall examine the substance of all eight of these arguments, along with their origins, patronage, and variations, and the objections they elicited from opponents, with the aim of determining their suitability for use in contemporary debates about animal sentience and consciousness, and hence their relevance for contemporary philosophers. (shrink)

Existing analyses of disinformation tend to embrace the view that disinformation is intended or otherwise functions to mislead its audience, that is, to produce false beliefs. I argue that this view is doubly mistaken. First, while paradigmatic disinformation campaigns aim to produce false beliefs in an audience, disinformation may in some cases be intended only to prevent its audience from forming true beliefs. Second, purveyors of disinformation need not intend to have any effect at all on their audience’s beliefs, aiming (...) instead to manipulate an audience’s behavior through alteration of sub-doxastic states. Ultimately, I argue that attention to such non-paradigmatic forms of disinformation is essential to understanding the threat disinformation poses and why this threat is so difficult to counter. (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)

The conflation of two fundamentally distinct issues has generated serious confusion in the philosophical and biological literature concerning the units of selection. The question of how a unit of selection of defined, theoretically, is rarely distinguished from the question of how to determine the empirical accuracy of claims--either specific or general--concerning which unit(s) is undergoing selection processes. In this paper, I begin by refining a definition of the unit of selection, first presented in the philosophical literature by William Wimsatt, which (...) is grounded in the structure of natural selection models. I then explore the implications of this structural definition for empirical evaluation of claims about units of selection. I consider criticisms of this view presented by Elliott Sober--criticisms taken by some (for example, Mayo and Gilinsky 1987) to provide definitive damage to the structuralist account. I shall show that Sober has misinterpreted the structuralist views; he knocks down a straw man in order to motivate his own causal account. Furthermore, I shall argue, Sober's causal account is dependent on the structuralist account that he rejects. I conclude by indicating how the refined structural definition can clarify which sorts of empirical evidence could be brought to bear on a controversial case involving units of selection. (shrink)

Lawyers and judges cannot adequately address the nature of text, meaning, or interpretation without reference to the insights provided by linguists and philosophers of language. Exploring some of those insights, this article focuses upon what linguists and philosophers of language call “pragmatics.” Pragmatics examines the relations between words and users rather than the relations of words to words (syntax) or the relations of words to the world (semantics). In other words, pragmatics studies how language users actually use and interpret words (...) and other signs in communication. -/- Pragmatics recognizes that speaker meaning can differ from (and even contradict) linguistic meaning, including the literal meaning of text. In its proper context, for example, “Bob is indeed a good lawyer” can ironically mean just the opposite. Pragmatics also recognizes that relevant text is not a thing-in-itself that is simply given. Good lawyers look at such things as purpose and cohesion when determining relevant text. They do not simply take their opponent’s (or even their client’s) assertions of relevance. -/- Pragmatics also provides lawyers with a number of specific concepts and tools which are helpful in determining speaker meaning. For user convenience, this article attempts to set out in one place a number of such concepts and tools. These include: (1) types of cohesion that help determine relevant text, (2) types of context that help determine meaning, (3) pragmatic principles of construction such as principles of relevance and politeness, and (4) important pragmatic notions or devices such as anaphora, cataphora, ellipsis, deixis, presupposition, unstated premises, entailment, and implementives. -/- Finally, as a recurring example (among others) of pragmatics in action, this article examines from multiple perspectives textual issues raised in King v. Burwell, 576 U.S. __ (2015). -/- Keywords: Pragmatics, Semiotics, Interpretation, Textualism, Plain Meaning, King v. Burwell, Affordable Care Act, Text, Meaning, Speaker Meaning, Implicature. (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.

Building on findings that self-uncertainty motivates attempts to restore certainty about the self, particularly in ways that highlight one’s distinctiveness from others, we show that self-uncertainty, relative to uncertainty in general, increases creative generation among individualists. In Studies 1 to 3, high (but not low) individualists performed better on a creative generation task after being primed with self-uncertainty as opposed to general uncertainty. In Study 4, this effect emerged only among those who were told that the task measured creative as (...) opposed to analytical thinking, suggesting that the positive effects of self-uncertainty on performance are specific to tasks that bolster perceptions of uniqueness. In Study 5, self-uncertain individualists experienced a restoration of self-clarity after being induced to think about themselves as more (vs. less) creative. Implications for compensatory responses to self-uncertainty and factors that influence creativity are discussed. (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)

A reading of Feyerabend in Against Method, and a comparison of C.S. Peirce.

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)

This article reviews research on counterfactual, social, and temporal comparisons and proposes a Reflection and Evaluation Model (REM) as an organizing framework. At the heart of the model is the assertion that 2 psychologically distinct modes of mental simulation operate during comparative thinking: reflection, an experiential (“as if”) mode of thinking characterized by vividly simulating that information about the comparison standard is true of, or part of, the self; and evaluation, an evaluative mode of thinking characterized by the use of (...) information about the standard as a reference point against which to evaluate one’s present standing. Reflection occurs when information about the standard is included in one’s self-construal, and evaluation occurs when such information is excluded. The result of reflection is that standard–consistent cognitions about the self become highly accessible, thereby yielding affective assimilation; whereas the result of evaluation is that comparison information is used as a standard against which one’s present standing is evaluated, thereby yielding affective contrast. The resulting affect leads to either an increase or decrease in behavioral persistence as a function of the type of task with which one is engaged, and a combination of comparison-derived causal inferences and regulatory focus strategies direct one toward adopting specific future action plans. (shrink)

Early Confucians viewed their world in an anthropocentric way – man was an embodiment of the cosmos and embodied the virtues of benevolence and righteousness. By the early medieval period (220–589), though, Confucian tales of virtuous animals flourished, betraying that Confucian attitudes towards animals had changed: the moral boundaries between animals and humans were fluid and beasts could serve as exemplars for humans. One of the few early medieval Confucian thinkers who spoke at length about animals was He Chengtian 何承天 (...) (370–447), a famed historian, astronomer, classical scholar, musicologist, and numerologist. His view of what separates humans from animals emerges from letters and essays he wrote attacking Buddhism. To refute the idea that humans and animals are both sentient beings, he espoused the old belief that people had a privileged place in the universe because of their moral excellence. Moreover, even though there was a gap between sages and ordinary humans, the latter were still ethically superior to beasts. In addition, for him, meateating was both a natural and sacred activity. Ironically, man’s benevolence and righteousness are most visible in the humane ways that Confucians wanted people to hunt and fish. He Chengtian’s opposition to Buddhism thus seems to have pushed him to a more extreme view of animals than his contemporaries. Nevertheless, his attempt to refute the idea of karmic retribution through an example taken from the animal kingdom betrays that he saw humans and non-human animals on a more equal footing than he cared to admit. (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)

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)

In recent decades, philosophers and theologians have become increasingly aware of the extent of animal pain and suffering, both past and present, and of the challenge this poses to God’s goodness and justice. As a result, a great deal of effort has been devoted to the discussion and development of animal theodicies, that is, theodicies that aim to offer morally sufficient reasons for animal pain and suffering that are in fact God’s reasons. In this paper, I ask whether there is (...) a need to go even further than this, by considering whether effort should be made to extend theodicy to include plants as well. Drawing upon ideas found in some recent animal theodicies as well as in the work of some environmental ethicists, I offer three arguments for supposing that plants should indeed fall within the purview of theodicy: the argument from non-flourishing as evil, the argument from moral considerability, and the argument from intrinsic value. I also consider a possible objection to each of these arguments. Having outlined and defended the aforementioned arguments for broadening theodicy to include plants as well as humans and animals, I conclude by considering what a plant theodicy might look like. (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)

As a lifelong Lutheran who resisted numerous attempts by Catholic acquaintances to convert him, one might reasonably expect Leibniz to have followedthe orthodox Lutheran line on disputed doctrinal issues, and thus held amongst other things that the doctrine of purgatory was false. Yet there is strong evidencethat Leibniz personally accepted the doctrine of purgatory. After examining this evidence, I determine how Leibniz sought to justify his endorsement of purgatory and explain how his endorsement sits alongside his frequent rehearsal of familiar (...) Protestant arguments against the doctrine. I then examine some of Leibniz’s other theological and philosophical commitments, including those on the afterlife, in order to tentatively tease out further details of the form of purgatory that wonhis approval. In considering these issues, I aim to make clear the extent to which Leibniz’s philosophical thinking underpins and shapes his theological beliefs. (shrink)

My contribution to this Symposium focuses on the links between sexuality and reproduction from the evolutionary point of view.' The relation between women's sexuality and reproduction is particularly importantb ecause of a vital intersectionb etweenp olitics and biology feminists have noticed, for more than a century, that women's identity is often defined in terms of her reproductive capacity. More recently, in the second wave of the feminist movement in the United States, debates about women'si dentityh ave explicitlyi ncludeds exuality;m uch (...) feminist argument in the late 1960's and early 1970's involved an attempt to separate out an autonomous female sexuality from women's reproductive functions. It is especially relevant, then, to examine biological arguments, particularlye volutionarya rgumentst, o see what they say about whether and how women's sexuality is related to reproduction. We shall find that many evolutionarya rgumentss eem to supportt he direct linkingo f female sexualitya nd reproductionY. et I will argue that this supporti s not well-groundedI. n fact, I think evolutionarye xplanationso f female sexuality exemplify how social beliefs and social agendas can influence very basic biological explanations of fundamental physiological processes. In this paper, I shall spend some time spelling out a few examples in which assumptions about the close link between reproduction and sexuality yield misleading results, then I shall conclude with a discussion of the consequences of this case study for issues in the philosophy of science. (shrink)

One of the most commonly-raised objections to the design argument is the so-called “who designed the designer?” objection, which charges that any designer invoked to explain complexity in the universe will feature complexity of its own, and thus require explanation in terms of design. There are two distinct versions of this objection in the contemporary literature, with it being couched in terms of: (1) Complexity of designer: a designer exhibits complexity, which calls for explanation in terms of design; (2) Complexity (...) of ideas: a designer’s ideas exhibit complexity, which calls for explanation in terms of design. To each of these versions of the objection there corresponds various responses from proponents of design. These proponents adopt a very particular strategy when crafting their responses: they argue that the objection can be neutralised simply by appealing to one or more of God’s attributes. In this paper I argue that this strategy is inapt, and unable to yield a successful response to either version of the objection. I also argue that a more promising way of tackling the objections is to identify their own peculiar weaknesses, for once these are exposed the objections cease to be a credible threat to the design hypothesis. (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)

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)

Leibniz’s claim that this is the best of all possible worlds has been subject to numerous criticisms, both from his contemporaries and ours. In this paper I investigate a cluster of such criticisms based on the existence, abundance or character of worldly evil. As several Leibniz-inspired versions of optimism have been advanced in recent years, the aim of my investigation is to assess not just how Leibniz’s brand of optimism fares against these criticisms, but also whether optimism as a philosophy (...) has the resources to meet these challenges. I show that none of the criticisms considered has sufficient force to pose a threat to Leibniz’s version of optimism or to one modelled on it. (shrink)