Leibniz: Metaphysics

In this article I interpret resilience and evolution in view of the philosophy of Leibniz. First, I discuss resilience as a substance’s or a monad’s “quantity of essence” — its “degree of perfection” — which I express as the quality of the Whole with respect to the sum of the qualities of the Parts. Then I discuss evolution, which I interpret here as the autopoietic Principle that sets Itself in motion and creates all reality, including Itself. This Principle may be (...) considered as a sort of ante-litteram metaphysical Darwinian Selection. My interpretations provide a different formulation for questions such as “why natural evolution evolves?” and “why is this the best of all possible worlds?” In this article I also provide a geometrical interpretation of a key aspect behind the “divine mathematics” of the autopoietic Principle. (shrink)

As far as treatments of causation are concerned, the pre-Kantian 18th century German context has long been dismissed as a period of uniform and unrepentant Leibnizian dogmatism. While there is no question that discussions of issues relating to causation in this period inevitably took Leibniz as their point of departure, it is certainly not the case that the resulting positions were in most cases dogmatically, or in some cases even recognizably, Leibnizian. Instead, German theorists explored a range of positions regarding (...) the nature of causal powers, the appropriate systems to explain the observed agreement between the states of substances, and the ground of free actions, or so I will argue in this chapter. Focusing on these three issues, I will here sketch the development of the debates relating to causation and trace the evolution of positions among the philosophers within the so-called Leibnizian-Wolffian philosophy as well as among its many opponents. (shrink)

Leibniz often refers to the Principle of Sufficient Reason (PSR) as something like a first principle. In some texts, however, he attempts to give positive arguments in its favor. I examine two such arguments, and find them wanting. The first argument has two defects. First, it is question-begging; and second, when the question-begging step is excised, the principle one can in fact derive is highly counter-intuitive. The second argument is valid, but has the defect of only reaching a nearly trivial (...) conclusion. (shrink)

This essay proposes a new interpretation of a central, and yet overlooked, argument Leibniz offers against Descartes’s power-free ontology of the corporeal world. Appealing to considerations about the successiveness of motion, Leibniz attempts to show that the reality of motion requires force. It is often assumed that the argument is driven by concerns inspired by Zeno. Against such a reading, this essay contends that Leibniz’s argument is instead best understood against the background of an Aristotelian view of the priority of (...) real being over time. The essay also shows how this alternative interpretation can help to shed new light on the difference between Leibnizian forces and Aristotelian powers, as well as on Leibniz’s famous claim that accounting for force leads us beyond the mechanistic corporeal realm. (shrink)

Leibniz was a philosopher of principles: the principles of Contradiction, of Sufficient Reason, of Identity of Indiscernibles, of Plenitude, of the Best, and of Continuity are among the most famous Leibnizian principles. In this article I shall focus on the first three principles; I shall discuss various formulations of the principles (sect. 1), what it means for these theses to have the status of principles or axioms in Leibniz’s philosophy (sect. 2), the fundamental character of the Principles of Contradiction and (...) Sufficient Reason (sect. 3), some attempts to demonstrate the Principles of Contradiction and Sufficient Reason (sect. 4), and one attempt to demonstrate the Principle of Identity of Indiscernibles (sect. 5). The main results of the chapter are summarized in a short conclusion (sect. 6). (shrink)

According to the Principle of Sufficient Reason (henceforth ‘PSR’), everything has an explanation or sufficient reason. This paper addresses three questions. First, how continuous is the contemporary notion of grounding with the notion of sufficient reason endorsed by Spinoza, Leibniz, and other rationalists? In particular, does a PSR formulated in terms of ground retain the intuitive pull and power of the PSR endorsed by the rationalists? Second, to what extent can the PSR avoid the formidable traditional objections levelled against it (...) if it is formulated in terms of ground? And finally, how might historical discussion of the PSR shed light on the contemporary notion of grounding? (shrink)

Leibniz accepts causal independence, the claim that no created substance can causally interact with any other. And Leibniz needs causal independence to be true, since his well-known pre-established harmony is premised upon it. So, what is Leibniz’s argument for causal independence? Sometimes he claims that causal interaction between substances is superfluous. Sometimes he claims that it would require the transfer of accidents, and that this is impossible. But when Leibniz finds himself under sustained pressure to defend causal independence, those are (...) not the reasons that he marshals in its defense. Instead, deep into his long correspondence with Burchard de Volder, he gives a different sort of argument, one that has gone nearly unnoticed by commentators and has not yet been properly understood. In part, this is because the argument develops slowly over four years of correspondence. It emerges in early 1704, but it is formulated tersely and appears murky unless understood in light of Leibniz and De Volder’s tangled exchanges. There Leibniz argues that, on his distinctive ontology of an infinity of created substances, no two created substances could possibly causally interact, for roughly the same reasons that some Cartesians like De Volder deny interaction between minds and bodies on their substance dualist ontology. In this paper I draw out this lost argument, explain it and the metaphysics on which Leibniz builds it, and untangle Leibniz and De Volder’s exchanges concerning causation from which this argument results. (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)

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)

The Russian philosopher Nikolai Onufrievich Lossky adhered to an evolutionary metaphysics of reincarnation according to which the world is constituted of immortal souls or monads, which he calls ‘substantival agents.’ These substantival agents can evolve or devolve depending on the goodness or badness of their behavior. Such evolution requires the possibility for monads to reincarnate into the bodies of creatures of a higher or of a lower level on the scala perfectionis. According to this theory, a substantival agent can evolve (...) by being gradually reincarnated multiple times through a sort of process of metamorphosis from the level of the most elementary particles all the way up to the level of human beings or even higher. In ‘Ученiе Лейбница о перевоплощенiи какъ метаморфозѣ’, Lossky argues that the works of Leibniz contain scattered elements of such a systematic evolutionary doctrine of reincarnation as metamorphosis and he attempts to reconstitute this doctrine. The present article is intended as an historical introduction to the translation of Lossky’s ‘Leibniz’s Doctrine of Reincarnation as Metamorphosis.’. (shrink)

The ancient doctrine of the eternal return of the same embodies a thoroughgoing rejection of the hope that the future world will be better than the present. For this reason, it might seem surprising that Leibniz constructs an argument for a version of the doctrine. He concludes in one text that in the far distant future he himself ‘would be living in a city called Hannover located on the Leine river, occupied with the history of Brunswick, and writing letters to (...) the same friends with the same meaning.’ However, his argument concludes not that the future will be absolutely identical to the present, but rather that any finite description of the present and future worlds would be identical. In this way, the argument leaves room for the promise of a different and better future—even if it is one that could not be recognized by us as such. (shrink)

Leibniz describes the problem of the composition of the continuum as one of the two famous labyrinths of the human mind. The problem is in brief that matter and motion appear to be continuous and thus would seem to be composed of an infinity of spatial or temporal points, which is absurd. Leibniz's strategy for escaping from this labyrinth involves distinguishing the realm of the real or actual from that of the ideal. In the former there is composition from parts (...) but no continuity: everything is discrete, even though divided to infinity. In the latter there is genuine continuity but no composition, the whole being prior to the parts. Since the two realms are disjoint, there is... (shrink)

This volume tells the story of the legacy and impact of the great German polymath Gottfried Wilhelm Leibniz (1646-1716). Leibniz made significant contributions to many areas, including philosophy, mathematics, political and social theory, theology, and various sciences. The essays in this volume explores the effects of Leibniz’s profound insights on subsequent generations of thinkers by tracing the ways in which his ideas have been defended and developed in the three centuries since his death. Each of the 11 essays is concerned (...) with Leibniz’s legacy and impact in a particular area, and between them they show not just the depth of Leibniz’s talents but also the extent to which he shaped the various domains to which he contributed, and in some cases continues to shape them today. With essays written by experts such as Nicholas Jolley, Pauline Phemister, and Philip Beeley, this volume is essential reading not just for students of Leibniz but also for those who wish to understand the game-changing impact made by one of history’s true universal geniuses. (shrink)

In modernity, the distinction between nature and artifice disappears, so that machines made by men become privileged models for the explanation of natural bodies, as can be observed in Bacon, Descartes, Hobbes, among others. This new relationship between nature and artifice is correlated with the mechanization and refutation of finality in nature, insofar as the adoption of mechanics as a model of nature’s explanation is associated to the rejection of the use of final causes in physics and to the conception (...) that bodies are devoid of immanent principles of movement or of any incorporeal principle that predisposes them to a process of change teleologically structured and oriented. Leibniz also conceives nature as artifice and organic bodies as automata, but his conception of natural bodies as artificial machines goes even further, to the point of characterizing the natural beings as those which carry the character of artificial rather than the artificial things themselves. However, unlike Bacon, Descartes, and Hobbes, Leibniz uses the analogy of nature as a machine and deepens it precisely to argue that nature is teleologically structured and that the difference between the machines made by men and the natural (divine) ones lies in the fact that while those have a purely extrinsic finality, these have an immanent finality inscribed in each of their parts to infinity. (shrink)

The purpose of this essay is to make the case for a heterodox reading of Leibniz’s The Monadology (published 1720) through the lens of Professor John Wheeler’s hypothesis of the one-electron universe (proposed in 1940). My conjecture is this: That there exists in the knowable universe only one monad; that this monad traverses time in both directions, eventually criss-crossing the entire past and future history of the universe; and that this singular monad interacts with itself countless times, thereby filling the (...) universe with simultaneous appearances of itself. In the course of this article I will consider the possibility that our solitary monad is synonymous with Leibniz’s God, or if the monad in question is rather a created substance that is alone with God, a notion that gains some traction thanks to Leibniz’s admiration for the solipsism of Saint Teresa of Avila. I will also consider whether the one-monad hypothesis is consistent with Leibniz’s own views on harmony, simplicity and perfection. (shrink)

In his essay against Eberhard, Kant denies that there are innate concepts. Several scholars take Kant’s statement at face value. They claim that Kant did not endorse concept innatism, that the categories are not innate concepts, and that Kant’s views on innateness are significantly different from Leibniz’s. This paper takes issue with those claims. It argues that Kant’s views on the origin of the intellectual concepts are remarkably similar to Leibniz’s. Given two widespread notions of innateness, the dispositional notion and (...) the input/output notion, intellectual concepts are innate for Kant no less than for Leibniz. (shrink)

Not unlike many contemporary philosophers, Leibniz admitted the existence of temporary truths, true propositions that have not always been or will not always be true. In contrast with contemporary philosophers, though, Leibniz conceived of truth in terms of analytic containment: on his view, the truth of a predicative sentence consists in the analytic containment of the concept expressed by the predicate in the concept expressed by the subject. Given that analytic relations among concepts are eternal and unchanging, the problem arises (...) of explaining how Leibniz reconciled one commitment with the other: how can truth be temporary, if concept-containment is not? This paper presents a new approach to this problem, based on the idea that a concept can be consistent at one time and inconsistent at another. It is argued that, given a proper understanding of what it is for a concept to be consistent, this idea is not as problematic as it may seem at first, and is in fact implied by Leibniz’s general views about propositions, in conjunction with the thesis that some propositions are only temporarily true. (shrink)

In this paper, an interpretation of "necessity", inspired by a Leibnizian idea and based on the method of dialogical logic, is introduced. The semantic rules corresponding to such an account of necessity are developed, and then some peculiarities, and some potential advantages, of the introduced dialogical explanation, in comparison with the customary explanation offered by the possible worlds semantics, are briefly discussed.

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)

In this paper, I analyze a previously unpublished Leibniz text from the early 1700s. I give it the title “On Unities and Transmigration” since it contains an outline of his doctrine of unities and an examination of the doctrine of transmigration. The text is valuable because in it Leibniz considers three very specific versions of transmigration that he does not address elsewhere in his writings; these are where a soul is released by the destruction of its body and is then (...) free to pass into another body, where souls are exchanged without any destruction of bodies, and where human souls are exchanged, again without any destruction of bodies. I show that when tackling these three versions of transmigration in “On Unities and Transmigration,” Leibniz develops a series of objections that are not found anywhere else in his published writings, despite his lifelong opposition to the doctrine of transmigration. This paper is completed by two appendices, the first of which presents the previously unpublished “On Unities and Transmigration” text in full, in the original French, while the second presents its English translation. (shrink)

The main objective of the paper is to give initial answers to three important questions. Why did Leibniz visit Spinoza? Why did his preparation for this meeting include a modification of the ontological proof of God? What is the philosophical result of the meeting and what do possible worlds have to do with it? In order to provide answers, three closely related manuscripts by Leibniz from November 1676 have been compared and the slow conceptual change of his philosophical apparatus has (...) been analyzed. The last of these manuscripts was presented and read in front of Spinoza. Around that time Leibniz abandoned the idea of plurality of worlds (cf. Tschirnhaus) and instead proposed the idea of possible worlds, thus introducing possibility into the (onto/theo)logical structure itself in order to avoid the “precipice” of Spinoza’s necessity. What is interesting, however, is how exactly this conceptual change occurred at the end of 1676 and what its philosophical and methodological implications are. (shrink)

Leibniz claims that God acts in the best possible way, and that this includes creating exactly one world. But worlds are aggregates, and aggregates have a low degree of reality or metaphysical perfection, perhaps none at all. This is Leibniz’s tendency toward acosmism, or the view that there this no such thing as creation-as-a-whole. Many interpreters reconcile Leibniz’s acosmist tendency with the high value of worlds by proposing that God sums the value of each substance created, so that the best (...) world is just the world with the most substances. I call this way of determining the value of a world the Additive Theory of Value (ATV), and argue that it leads to the current and insoluble form of the problem of incompossibility. To avoid the problem, I read “possible worlds” in “God chooses the best of all possible worlds” as referring to God’s ideas of worlds. These ideas, though built up from essences, are themselves unities and so well suited to be the value bearers that Leibniz’s theodicy requires. They have their own value, thanks to their unity, and that unity is not preserved when more essences are added. (shrink)

One of Leibniz’s more unusual philosophical projects is his presentation (in a series of unpublished drafts) of an argument for the conclusion that a time will necessarily come when “nothing would happen that had not happened before." Leibniz’s presentations of the argument for such a cyclical cosmology are all too brief, and his discussion of its implications is obscure. Moreover, the conclusion itself seems to be at odds with the main thrust of Leibniz’s own metaphysics. Despite this, we can discern (...) a serious and important point to Leibniz’s consideration of the doctrine, namely in what it suggests about the proper boundary between metaphysics and theology, on the one hand, and ordinary history (whether human or natural), on the other. And we can get a better sense of Leibniz purpose in the essays by considering them in the context of Leibniz's response to Thomas Burnet's "Telluris theoria sacra" (1681-89). Leibniz praises Burnet's history of earth for presenting a harmony between the principles of nature and grace, a harmony absent in the cosmogonies of Descartes and the Newtonians. But Leibniz also complains that Burnet misconceives the boundary between natural explanation and reflections on divine wisdom. And Leibniz's essays on cyclical cosmology suggest the alternative to Burnet's account: a natural history of the earth and its inhabitants should be radically autonomous from, even if ultimately harmonious with, theological principles. (shrink)

Leibniz's World-Apart Doctrine states that every created substance is independent of everything except God. Commentators have connected the independence of substance asserted by World-Apart to a variety of important aspects of Leibniz's modal metaphysics, including his theory of compossibility and his notion of a possible world (including what possible worlds there are). But what sort of independence is at stake in World-Apart? I argue that there is not a single sense of "independence" at stake, but at least three: what I (...) call "causal", "phenomenal", and "ontological" independence. Further, I distinguish two versions of each type of independence: what I call "basic" and "strict" versions. I argue that only basic versions can be legitimately attributed to Leibniz. In light of this result, I conclude, pace previous commentators, that World-Apart has little impact on Leibniz's modal metaphysics. (shrink)

According to Leibniz, there is no death in the sense that the human being or animal is destroyed completely. This is due to his metaphysical pluralism which would suffer if the number of substances decreased. While animals transform into other animals after “death”, human beings are rewarded or punished of their behavior in this life. This paper presents a comprehensive account of how Leibniz thought the “death” to take place and discusses his often unclear views on the life after death. (...) I will also present a new, naturalistic reading of Leibniz’s views on afterlife. (shrink)

In this paper, we consider what is commonly referred to as Leibniz’s argument for primitive concepts. After presenting and criticizing (in sections 1 and 2) one recent rather straightforward way of interpreting this argument, by Paul Lodge and Stephen Puryear, which takes the argument to be merely about the structure of concepts, we offer an alternative way of looking at the argument. We think it is best seen as being fundamentally about the relation between thought and reality. In order to (...) prepare the ground for our reconstruction (which we present in section 5), we have to introduce his view of ideas or concepts (section 3), as well as some metaphysical principles concerning reality-dependence (section 4). (shrink)

A few months before his death, Leibniz wrote to Des Bosses, My doctrine of composite substance seems to be the very doctrine of the Peripatetic school, except that their doctrine does not recognize monads. But I add them, with no detriment to the doctrine itself. You will hardly find another difference, even if you are bent on doing so.1 It is tempting to take Leibniz’s profession of Aristotelian orthodoxy as circumstantial: the entire correspondence he had with the Jesuit Father Bartholomew (...) Des Bosses is based on a project of reconciliation between his “system” and the dogmas of the Catholic Church, mediated by Aristotelian philosophy.2 But even so, this circumstantial... (shrink)

I argue that Leibniz's treatment of void or empty space in the appendix to his fourth letter to Clarke conflicts with the way he elsewhere treats (metaphysical) evil, insofar as he allows that God has created a world with the one kind of privation (evil), while insisting that God would not have created a world with the other kind of privation (void). I consider three respects in which the moral case might be thought to differ relevantly from the physical one, (...) and argue that none of them succeed in removing the inconsistency. Rather than denying the existence of void, Leibniz should have been led by his treatment of evil to realize that the arguments he deploys in this appendix are dubious, and that the principles to which he appeals do not rule out empty space any more than they rule out evil, darkness, cold, or any other privations. (shrink)

I argue that Leibniz's rejection of the hypothesis of thinking matter on grounds of unintelligibility conflicts with his position on sensible qualities such as color. In the former case, he argues that thought must be a modification of something immaterial because we cannot explain thought in mechanical terms. In the latter case, however, he (rightly) grants that we cannot explain sensible qualities in mechanical terms, that is, cannot explain why a certain complex mechanical quality gives rise to the appearance of (...) a certain sensible quality, even while insisting that sensible qualities are modifications of bodies. I argue that the two cases are analogous in the relevant respects, and that Leibniz's (plausible) position on sensible qualities should have thrown his Principle of Intelligibility into doubt. (shrink)

I propose a straightforward reconciliation of Leibniz’s conception of bodies as aggregates of simple substances (i.e., monads) with his doctrine that bodies are the phenomena of perceivers, without in the process saddling him with any equivocations. The reconciliation relies on the familiar idea that in Leibniz’s idiolect, an aggregate of Fs is that which immediately presupposes those Fs, or in other words, has those Fs as immediate requisites. But I take this idea in a new direction. Taking notice of the (...) fact that Leibniz speaks of three respects in which one thing may immediately presuppose others--i.e., with respect to its being, its existence, and its reality--I argue that a phenomenon having its being in one perceiving substance (monad) can plausibly be understood to presuppose other perceiving substances (monads) in two of these respects. Accordingly, good sense can be made of both the claim that a phenomenon in one monad is an aggregate of other monads (in Leibniz’s technical sense of 'aggregate') and the (equivalent) claim that the latter monads are constituents of the phenomenon (in his technical sense of 'constituent'). So understood, the two conceptions of body are perfectly compatible, just as Leibniz seems to think. (shrink)

I argue that Leibniz consistently subscribes to the view that phenomena (thus bodies) have their being in perceiving substances. I then argue that this mentalistic conception of phenomenon coheres with three of his doctrines of body: (1) that bodies presuppose the unities or simple substances on which they are founded; (2) that bodies are aggregates of those substances; and (3) that bodies derive or borrow their reality from their simple constituents.

will give an overview of the fascinating communication between G. W. Leibniz and Pierre Bayle on pre-established harmony and sudden change in the soul which started from Bayle’s footnote H to the article “Rorarius” in his Dictionnaire historique et critique (1697) and ended in 1706 with Bayle’s death. I will compare the views presented in the communication to Leibniz’s reflections on the soul in his partly concurrent Nouveaux essais sur l’entendement humain (1704) and argue that many topics in the communication (...) with Bayle are discussed with more details in Nouveaux essais. I also argue that the communication helped Leibniz to respond to Locke’s views concerning uneasiness in An Essay Concerning Human Understanding, II, xxi. Bayle himself, however, was not able to completely understand Leibniz’s views on spontaneity as he was unaware of the contents of the Nouveaux essais, especially the systematic role of petites perceptions in Leibniz’s philosophy of mind. I will also reflect on whether the controversy could have ended in agreement if it would have continued longer. (shrink)

This chapter demonstrates that G.W. Leibniz and Michal Polanyi’s creative work in multiple fields of attention may serve a twenty first century in need of scholars willing to put daring and speculative imaginative inter–disciplinary risks in play. Such a cultural development would activate a general and cross–cultural sensibility that may salvage knowledge work, which is often predicated on property and power, for instead intellectual work that would serve the production of multiple truths that may enliven the world and inspire it.

No presente artigo, pretendemos oferecer uma análise da explication nominal de Leibniz do que é “ser uma substância individual” oferecida em Discurso de Metafísica §8, assim como uma concernindo o entendimento leibniziano do que sejam definições nominais em geral. O presente artigo será dividido em quatro partes: Em primeiro lugar, tentaremos argumentar contra uma interpretação tradicional e bem-estabelecida, embora não completamente incontroversa, da explication de Leibniz em Discurso de Metafísica §8. Em segundo lugar, tentaremos abordar o entendimento geral de Leibniz (...) de uma definição nominal, ao passo que argumentamos a favor da implicação mútua entre as duas definições disponíveis no corpus leibnitianum. Em terceiro lugar, pretendemos apresentar uma interpretação alternativa positiva da explication de Leibniz. Finalmente, tentaremos lidar com um aparente problema de tal interpretação concernindo ao comprometimento existencial presente na mesma por meio de uma análise do uso estrito por parte de Leibniz do termo “substância”. (shrink)

The main goal of this dissertation is to offer both an interpretation to the theory of singular representations as presented by Leibniz in his writings from the 1680’s, as well as a hypothesis of a criticism made by Kant to what we take to be the cornerstones of such a theory. These cornerstones consist in (i) the Principle of Identity of Indiscernibles (ii) the Doctrine of the Complete Notion of the Individual Substance (iii) the Intensional Definitions of the Truth Values. (...) Once the writings in which (ii) and (iii) are presented only began to be published in the XIX century, we argue in favor of the plausibility of such a hypothesis by means of logical arguments, which intend to show that Kant could have deduced (ii) and (iii) from Leibniz’ commitment to (i) as well as to the existence of a parfaite représentation of ordinary objects in the divine understanding, and historical arguments, which intend to show that Kant could have had access to both (ii) and (iii) and even ascribed these to Leibniz by means of Meier’s Auszug aus der Vernunftlehre and Wolff’s Philosophia Rationalis sive Logica. We will add to these, also textual arguments in order to show that there is in Kant’s philosophy not only a critique to (i), but also to (ii) e (iii), as well as an interpretation of what this criticism consists in. (shrink)

Leibniz’s main thesis regarding the nature of space is that space is relational. This means that space is not an independent object or existent in itself, but rather a set of relations between objects existing at the same time. The reality of space, therefore, is derived from objects and their relations. For Leibniz and his successors, this view of space was intimately connected with the understanding of the composite nature of material objects. The nature of the relation between space and (...) matter was crucial to the conceptualization of both space and matter. In this paper, I discuss Leibniz’s account of relational space and examine its novel elaborations by two of his successors, namely, the young Immanuel Kant and the Croat natural philosopher Roger Boscovich. Kant’s and Boscovich’s studies of Leibniz’s account lead them to original versions of the relational view of space. Thus, Leibniz’s relational space proved to be a philosophically fruitful notion, as it yielded bold and intriguing attempts to decipher the nature of space and was a key part in innovative scientific ideas. (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)

This paper explores the development of Leibniz’s metaphysics of the Incarnation in the context of his philosophy. In particular it asks to what extent Leibniz’s repeated endorsement of the traditional analogy between the union in humankind of soul (mind) and body, and the union in Christ of divine and human natures, could be accommodated by his more general metaphysical doctrines. Such an investigation highlights some of the deepest commitments in Leibniz’s theory of substance as well as detect in it some (...) unresolved tensions. The paper comes to the conclusion that puzzling points of Leibniz’s metaphysics of the Incarnation, rather than being problems specific to his theology, uncover tensions in his theory of substance as such – tensions converging on the vexed question of whether there can or cannot be genuine corporeal substances in Leibniz’s mature philosophy. (shrink)

This paper aims to show that a proper understanding of what Leibniz meant by “hypercategorematic infinite” sheds light on some fundamental aspects of his conceptions of God and of the relationship between God and created simple substances or monads. After revisiting Leibniz’s distinction between (i) syncategorematic infinite, (ii) categorematic infinite, and (iii) actual infinite, I examine his claim that the hypercategorematic infinite is “God himself” in conjunction with other key statements about God. I then discuss the issue of whether the (...) hypercategorematic infinite is a “whole”, comparing the four kinds of infinite outlined by Leibniz in 1706 with the three degrees of infinity outlined in 1676. In the last section, I discuss the relationship between the hypercategorematic infinite and created simple substances. I conclude that, for Leibniz, only a being beyond all determinations but eminently embracing all determinations can enjoy the pure positivity of what is truly infinite while constituting the ontological grounding of all things. (shrink)

This chapter discusses Gottfried Wilhelm Leibniz’s philosophical reflections on mind and body. It first considers Leibniz’s distinction between substance and aggregate, referring to the former as a being that must have true unity (what he calls unum per se) and to the latter as simply a collection of other beings. It then describes Leibniz’s extension of the term “substance” to monads and other things such as animals and living beings. It also examines Leibniz’s views about the union of mind and (...) body, whether mind and body interact, and how interaction is related to union. More specifically, it asks whether mind and body together constitute an unum per se and analyzes Leibniz’s account of the per se unity of mind-body composites. In addition, the chapter explores the problem of soul-body union as opposed to mind-body union and concludes by discussing Leibniz’s explanation of soul-body interaction using a system of pre-established harmony. (shrink)

This paper is a discussion of the treatment of Leibniz's conception of substance in Heidegger's The Metaphysical Foundations of Logic. I explain Heidegger's account, consider its relation to recent interpretations of Leibniz in the Anglophone secondary literature, and reflect on the ways in which Heidegger's methodology may illuminate what it is to read Leibniz and other figures in the history of philosophy.

In this paper I offer a discussion of chapter 3 of Adrian Moore’s The Evolution of Modern Metaphysics, which is titled “Leibniz: Metaphysics in the Service of Theodicy.” Here Moore discusses the philosophy of Leibniz and comes to a damning conclusion. My main aim is to suggest that such a conclusion might be a little premature. I begin by outlining Moore’s discussion of Leibniz and then raise some problems for the objections that Moore presents. I follow this by raising a (...) Moore-inspired problem of my own and offer a possible response. The response is based on a little-known essay of Leibniz’s called “Leibniz’s Philosophical Dream” and leads me to consider Leibniz’s deepest motivations for engaging in philosophical reflection. (shrink)

The purpose of this paper is to explain and discuss Leibniz’s main objections to the Molinist-Suárezian voluntarist (libertarian) conception of freedom, i.e., the conception involving the supposition of “freedom of indifference” of the will to make contrary choices in exactly the same circumstances. Leibniz’s main objections to the voluntarist conception are the following: (i) it violates the Principle of Sufficient Reason; (ii) it is based on a mistaken picture of the nature of the will.

Special issue of the Journal for Early Modern Studies (4.1., Spring 2005) Guest Editor: Lucian Petrescu. -/- .

In the Discourse on Metaphysics Leibniz put forward his famous complete-concept definition of substance. Sometimes this definition is glossed as stating that a substance is an entity with a concept so complete that it contains all its predicates, and it is thought that it follows directly from Leibniz’s theory of truth. Now, an adequate definition of substance should not apply to accidents. But, as I shall point out, if Leibniz’s theory of truth is correct then an accident is an entity (...) with a concept so complete that it contains all its predicates. The aim of this paper is to clarify Leibniz’s notion of substance in the Discourse with a view to explaining how that definition successfully distinguishes between substances and accidents. (shrink)