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)

Table of Contents: Chapter 1: Wolff and the Refinement of the Mathematical Method / Chapter 2: Wolff’s Emendation of Ontology / Chapter 3: Soul, World, and God: Wolff’s Metaphysics / Chapter 4: The Abuse of Philosophy: Pietism and the Metaphysics of Freedom / Chapter 5: Women and the Wolffian Philosophy / Chapter 6: Reason beyond Proof: Debating the Use and Limits of the PSR / Chapter 7: The Paradoxes of Sensation from Wolff to Amo / Chapter 8: The Fate of (...) the Soul: G. F. Meier on Immortality / Chapter 9: Moses Mendelssohn and Spinoza’s Ghost . (shrink)

Leibniz argues against Descartes’s conception of material substance based on considerations of unity. I examine a key premise of Leibniz’s argument, what I call the Plurality Thesis—the claim that matter (i.e. extension alone) is a plurality of parts. More specifically, I engage an objection to the Plurality Thesis stemming from what I call Material Monism—the claim that the physical world is a single material substance. I argue that Leibniz can productively engage this objection based on his view that matter is (...) discrete. The discreteness of matter provides two aspects of support for the Plurality Thesis. First, it indicates that the parts of matter do not share boundaries and are, therefore, independent in an important sense. Second, it indicates that the parts of matter are determinate and are, therefore, ontologically prior to the wholes they compose. (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)

Leibniz thinks that every created substance is causally active, and yet causally independent of every other: none can cause changes in any but itself. This is not controversial. But Leibniz also thinks that every created substance is existentially independent of every other: it is metaphysically possible for any to exist with or without any other. This is controversial. I argue that, given a mainstream reading of Leibniz’s essentialism, if one accepts the former, uncontroversial interpretation concerning causal independence, then one ought (...) also to accept the latter, controversial one concerning existential independence. This is a new way to defend the ‘existential independence’ interpretation. Moreover, this defense provides a new approach for defending the broadly ‘non-logical’ interpretive camp in the longstanding debate over Leibniz’s views on incompossibility, against perhaps the strongest objection leveled by advocates of the opposing broadly ‘logical’ interpretation. (shrink)

In Leibniz’s New Essays stands out, within many important topics, his doctrine of innate ideas, which supposes the division between sense knowledge and innate knowledge and implies the distinction between truths of reason and truths of fact. That doctrine is particularly relevant for Leibniz’s philosophy, but implicitly entails the epistemological difference between belief, on one hand, and certainty, on the other. In this paper I outline, according to my interpretation, how Leibniz explains that humans can have certainty about innate ideas. (...) This topic is important because if Leibniz demonstrates the possibility of having certainty of those ideas, then, it is feasible to believe in its existence. However, if his explanation is unsatisfactory his metaphysical doctrine would be seriously weakened and, at the same time, both skepticism and Locke’s empiricist doctrine would be reinforced. (shrink)

This paper reconsiders Leibniz’s conception of the nature of possible things and offers a novel interpretation of the actualization of possible substances. This requires analyzing a largely neglected notion, the reality of individual essences. Thus far scholars have tended to construe essences as representational items in God’s intellect. We acknowledge that finite essences have being in the divine intellect but insist that they are also grounded in the infinite essence of God, as limitations of it. Indeed, we show that it (...) is critical to understand that this dependence on God’s essence is prior to the dependence on God through divine ideas. Here it is crucial to distinguish questions concerning the ontological status of essences from questions concerning their reality. This yields a fresh view of Leibniz’s theory of creation, which takes seriously his claim that the same thing is first a mere possibility but after creation an actually existent substance. (shrink)

The advance of mechanism in science and philosophy in the 17th century created a great interest to machines or automata. Leibniz was no exception - in an early memoir Drôle de pensée he wrote admiringly about a machine that could walk on water, exhibited in Paris. The idea of automatic processing in general had a large role in his thought, as can be seen, for example, in his invention of the binary code and the so-called Calculemus!-model for solving controversies. In (...) metaphysics, the idea of an automata was expressed most clearly in the 1695 article New System of the Nature of Substances and their Communication, and the ensuing correspondence with, among others, Foucher, Bayle, Lamy, Jaquelot and Masham. In the article Leibniz discusses the soul as a spiritual machine in the context of pre-established harmony, arguing that God can "give to a substance at the outset a nature or internal force which could produce in it an orderly way (as in spiritual or formal automaton; but a free one, in the case of a substance which is endowed with a share of reason) everything that is going to happen to it, that is to say, all the appearances or expressions it is going to have, and all without the help of any created thing." The basic idea of Leibniz's spiritual machine is that the soul or entelechy is an autonomous and spontaneous unity, consisting of internal active force and producing its own perceptions (both confused and distinct). It is a self-moving machine, driven by its perceptions and appetites, but it follows (without being conscious of it) a lawful series or programme created by God. The entelechy remains the same despite undergoing an infinite number of changes. To Foucher he explained that each state of the individual substance is a consequence of its preceding one, "as if there were only God and the substance in the world". Despite this, the spiritual machine is related not only to God, but through the pre-established harmony to bodies or natural machines. However, as it is not dependent on them, the spiritual machine is superiot to natural machines. In this paper I concentrate on three moral themes related to the spiritual machine: moral deliberation, moral identity and the goal of moral action. All these themes are more or less implicit in the New System, but are discussed in more detail in the ensuing correspondence after the publication of the article. Finally, the themes are given an extended discussion especially in the second book of New Essays on Human Understanding (1704, published 1765), written partly at the same time as some of the correspondence and unpublished related material. I will first give an overview of Leibniz's position concerning the spiritual machine or automaton in the New System and then go on to explore the three moral themes one by one, as they feature in the subsequent correspondence and in the New Essays. I will show that the three topics are essential to the function of the spiritual machine – to Sophie Charlotte Leibniz wrote: "...let us say that everything in bodies happens mechanically, or in accordance with laws of motion, and that everything in the soul happens morally, or in accordance with perceived good or evil." There are many texts that anticipate the views in the New System (notably the unpublished memoir De Affectibus of 1679) and Leibniz continued to discuss its themes later on (in addition to correpondence, for example, in Theodicy of 1710 and Monadology and Principles of Nature and Grace of 1714). Here I focus on the short-term development of Leibniz's views on the topic (around 1695-1705), but I argue that his basic view of the spiritual machine did not change much after finishing the dialogue with Locke in 1704. (shrink)

I argue for a novel interpretation of Leibniz’s conception of the kind of contingency that matters for freedom, which I label ‘agential contingency.’ In brief, an agent is free to the extent that she determines herself to do what she judges to be the best of several considered options that she could have brought about had she concluded that these options were best. I use this novel interpretation to make sense of Leibniz’s doctrine that the reasons that explain free actions (...) are merely inclining and not necessitating. (shrink)

La traduction latine du livre de Maïmonide Moreh Nevukhim | Guide des égarés, a été l'ouvrage juif le plus influent des derniers millénaires (Di Segni, 2019 ; Rubio, 2006 ; Wohlman, 1988, 1995 ; Kohler, 2017). Elle marqua le début de la scolastique, fille du judaïsme élevée par des penseurs juifs, selon l'historien Heinrich Graetz (Geschichte der Juden, L. 6, Leipzig 1861, p. xii). Imprimée par la première presse mécanique de Gutenberg, son influence en Occident s'étendit jusqu'au Vème concile du (...) Latran (1512-1517) « où les savants furent encouragés à lever les difficultés qui semblaient diviser l'ensemble de la théologie et de la philosophie — (Leibniz, Théodicée, 11 ) ». Pendant des siècles, le Guide a révolutionné le programme d'instruction scolaire en réintégrant dans le domaine de la foi les lois de la pensée (dont la quatrième est devenue le principe de la raison suffisante de Leibniz). Cette collection complète de notes qui expose les idées du Guide fournit tous les passages sélectionnés et réécrits par Leibniz. Cette première traduction complète bilingue annotée des manuscrits originaux en latin sert de porte d'entrée à la foi conforme à la Raison. -/- « L'excellent livre du Rabbin Moïse Maïmonide, le Guide des égarés, est plus philosophique que je ne l'avais imaginé et mérite une lecture attentive. L'auteur, distingué par son intelligence en philosophie, était versé dans les mathématiques, l'art médical, et aussi dans la connaissance de Saintes Écritures. » — G. W. LEIBNIZ, 1685, Anthologie de Leibniz du Guide de Maïmonide, Chapitre III. (shrink)

La traducción al latín de la obra de Maimónides Moreh Nevukhim | Guía para Perplejos, ha sido la obra judía más influyente en los últimos milenios (Di Segni, 2019; Rubio, 2006; Wohlman, 1988, 1995; Kohler, 2017). Ésta marcó el comienzo de la escolástica, «hija del judaísmo nutrida por pensadores judíos, » según el historiador Heinrich Graetz (Geschichte der Juden, L. 6, Leipzig 1861, p. xii). Impresa por la primera imprenta mecánica de Gutenberg, su influencia en Occidente se extendió hasta el (...) Quinto Concilio de Letrán (1512-1517) « donde se instó a los eruditos a eliminar las dificultades que parecían dividir el conjunto de la teología y la filosofía (Leibniz, Teodicea, 11 ). » Durante siglos, la Guía revolucionó el currículo de estudios de la instrucción escolar al reintegrar en el ámbito de la fe las leyes del pensamiento (la cuarta de las cuales se convirtió en el principio de la razón suficiente de Leibniz). La colección completa de las notas que exponen las ideas de la Guía incluye todos los pasajes seleccionados y reescritos por Leibniz. Esta primera traducción bilingüe completa y anotada de los manuscritos originales en latín sirve como una puerta de entrada a la fe conforme a la Razón. -/- « El excelente libro del rabino Moisés Maimónides, Guía para perplejos, es más filosófico de lo que había imaginado y merece una lectura atenta. El autor, distinguido por su inteligencia filosófica, fue versado en matemáticas, en el arte de la medicina, y también en el conocimiento de las Sagradas Escrituras. » — GW LEIBNIZ, 1685. Antología de Leibniz de la Guía de Maimónides, Capítulo III. (shrink)

Rosi Braidotti has recently argued that the emerging scholarship on posthumanism should employ what she calls nomadic thinking. Braidotti identifies Gilles Deleuze’s work on Spinoza as the genesis of posthumanist ontology, yet Deleuze’s claims about nomadic thinking or nomadology come from his work on Leibniz. I argue that for posthumanist thought to theorize subjectivity beyond the human, it must use nomadology to overcome ontology itself. To make my argument, I demonstrate that while Braidotti is correct about Spinoza’s influence on Deleuze, (...) his work on Leibniz is necessary to adequately conceptualize nomadology. I employ Deleuze and Guattari’s figure of the Thought-brain as a model for conceptualizing posthumanist subjectivity that they claim goes beyond the subject itself. (shrink)

This chapter explores the relationship between the views of Leibniz and Berkeley on the fundamental nature of the created universe. It argues that Leibniz concurs with Berkeley on three key points: that in the final analysis there are only perceivers and their contents (subjective idealism), that there are strictly speaking no material or corporeal substances, and that bodies or sensible things reduce to the contents of perceivers (phenomenalism). It then reconstructs his central argument for phenomenalism, which rests on his belief (...) in the infinite division of matter, his doctrine of the ideality of relations, and the traditional principle of the convertibility of being and unity. Finally, it explores Leibniz’s belief that a body having its being in one perceiver can be “founded” on other perceivers, and considers Berkeley’s reasons for opposing such a view. (shrink)

Leibniz and Kant were heirs of a biblical theistic tradition which viewed miraculous activity in the world as both possible and actual. But both were also deep explanatory rationalists about the natural world: more committed than your average philosophical theologian to its thoroughgoing intelligibility. These dual sympathies—supernaturalist religion and empirical rationalism—generate a powerful tension across both philosophers’ systems, one that is most palpable in their accounts of empirical miracles—that is, events in nature that violate one or more of the natural (...) laws. The primary goal of this chapter is to exhibit their respective efforts to resolve this tension, and to show how Kant’s noumenal ignorance doctrine allows him to set aside some key difficulties that Leibniz’s model leaves unresolved. The chapter concludes with the unorthodox suggestion that both systems leave conceptual space for the idea that finite free beings, rather than just God, can produce empirical miracles. (shrink)

I discuss an objection by Margaret Wilson against Robert Brandom’s interpretation of Leibniz’s account of perceptual distinctness. According to Brandom, Leibniz holds that (i) the relative distinctness of a perception is a function of its inferentially articulated content and (ii) apperception, or awareness, is explicable in terms of degrees of perceptual distinctness. Wilson alleges that Brandom confuses ‘external deducibility’ from a perceptual state of a monad to the existence of properties in the world, with ‘internally accessible content’ for the monad (...) in that state. Drawing on Leibniz, I develop a response to Wilson on Brandom’s behalf. (shrink)

This paper addresses some issues of Leibniz’s metaphysics to show the relationship between religion, God, and the conception of eternal truths, and with that to reveal that Leibniz’s philosophy is a coherent and intertwined whole. His idea of religion is set out briefly, then his metaphysics is analyzed, in particular creation and what are the eternal truths. The paper ends with a commentary on some quotations from the New essays that make evident that these truths require the existence of God. (...) // Se abordan algunas cuestiones de la metafísica leibniziana para mostrar el vínculo entre la religión, Dios y la concepción de las verdades eternas, y con ello poner de manifiesto que la filosofía de Leibniz es un todo engarzado y coherente. Se expone sucintamente su idea de religión, se analiza su metafísica, en particular la creación y lo que son las verdades eternas, y finalmente se comentan algunas citas de los Nuevos ensayos que evidencian que dichas verdades exigen la existencia de Dios. (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)

Through the reconstruction of Leibniz's theory of the degrees of knowledge, this e-book investigates and explores the intrinsic relationship of imagination with space and time. The inquiry into this relationship defines the logic of imagination that characterizes both human and non-human animals, albeit differently, making them two different species of imaginative animals. -/- Lucia Oliveri explains how the emergence of language in human animals goes hand in hand with the emergence of thought and a different form of rationality constituted by (...) logical inferences based on identity and contradiction, principles that are out of reach of the imagination. The e-book concludes that the presence of innate principles in human animals transforms the way in which they sense-perceive the world, thereby constantly increasing the distinction between human and non-human animals. -/- Keywords: human and non-human animals, Leibniz and Locke on ideas, Leibniz on bodies, Leibniz on conceivability, Leibniz on degrees of knowledge, Leibniz on degrees of perception, Leibniz on innate ideas, Leibniz on modality, Leibniz on similarity and congruence, Leibniz on space and time, Leibniz’s philosophy of language, theory of types. (shrink)

This chapter offers an interpretation of Gottfried Wilhelm Leibniz’s idealism. Despite Leibniz’s frequent claim that the universe ultimately boils down to monads, he also sometimes appears to say that the world’s fundamental furniture includes extended, corporeal substances. Here, I examine Leibniz’s views about the relationship between monads and the material world, especially in connection with material bodies and corporeal substances.

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)

Este artículo examina el rol del concepto de simplicidad cognitiva en la perspectiva de Leibniz sobre las presunciones. El tratamiento de Leibniz acerca de la conexión entre simplicidad y presunción puede aportar algo significativo a los enfoques contemporáneos sobre la plausibilidad de las presunciones. Esto se explica porque, a diferencia de los enfoques contemporáneos centrados en el lado pragmático de la simplicidad cognitiva, Leibniz ha procurado basarla en aquello que ocurre con mayor facilidad en la realidad. El filósofo se apoya (...) en los trabajos de los primeros juristas modernos que recomiendan presumir lo que corresponde a la naturaleza humana. Además, da un giro novedoso a esta idea invocando la noción de facilidad, que fundamenta en el marco de su ontología de los “requisitos”. En la toma de decisiones políticas, el precepto de Leibniz es que se deberían formar presunciones a favor del curso de acción que tiene menos requisitos en comparación con otros cursos alternativos. Asimismo, su presunción en favor del carácter justo de una acción está estrechamente relacionada con su concepción de facilidad. El resultado de estas consideraciones conducirá a superar la dicotomía existente entre simplicidad cognitiva y simplicidad ontológica. (shrink)

To explain why God is not the author of sin, despite grounding all features of the world, the early Leibniz marginalized the divine will and defined existence as harmony. These moves support each other. It is easier to nearly eliminate the divine will from creation if existence itself is something wholly intelligible, and easier to identify existence with an internal feature of the possibles if the divine will is not responsible for creation. Both moves, however, commit Leibniz to a necessitarianism (...) that is stronger than what prominent interpreters such as Robert Sleigh and Mogens Lærke have found in the early Leibniz, and stronger than the necessitarianism that threatens his later philosophy. I defend this reading of Leibniz and propose that some features of Leibniz’s later metaphysics, including his “striving possibles” doctrine, are an artifact of the effort to rescue the early theodicy from its unwelcome implications. (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)

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)

In this paper we inquire whether Leibniz’s metaphysics of the body has undergone a signifi cant change in the last twenty years of his life. Th is metaphysical conception seems incompatible with the late monadological conclusions. Yet, to explain the body in terms of monadic subordination makes soul and body inseparably united. Far from there being two incompatible ontologies in Leibniz’s late philosophy, we fi nd a seamless connection between what is monadic and what is organic: a single point of (...) view that includes the order of bodies and that of monadic substrates, and a system that accounts for all levels of reality. Ultimately, our topic is whether Leibniz was a realist metaphysician, an idealist one, or whether in the philosophy of his maturity he tried to reconcile the two tendencies. résUMé : Dans cette étude la question est de savoir si la vision de Leibniz sur la métaphysique du corps a subi un changement important dans les vingt dernières années de sa vie. Il s’agit là d’une conception métaphysique qui semble incompatible avec les conclusions monadologiques tardives. Pourtant, expliquer le corps en termes de subordination monadique, rend l’âme et le corps inséparablement unis. Loin d’être deux ontologies incompatibles dans la philosophie de maturité de Leibniz, on y trouve une connexion sans faille entre ce qui est monadique et ce qui est organique : un point de vue unique qui comprendrait l’ordre des corps et celui des substrats monadiques, un système qui rendrait compte de tous les niveaux de la réalité. Finalement, le sujet de discussion consiste à savoir si Leibniz a été un métaphysicien réaliste, un idéaliste, ou bien s’il a essayé de réconcilier les deux tendances dans sa philosophie de la maturité. (shrink)

Leibniz argues that there must be a fundamental level of simple substances because composites borrow their reality from their constituents and not all reality can be borrowed. I contend that the underlying logic of this ‘borrowed reality argument’ has been misunderstood, particularly the rationale for the key premise that not all reality can be borrowed. Contrary to what has been suggested, the rationale turns neither on the alleged viciousness of an unending regress of reality borrowers nor on the Principle of (...) Sufficient Reason, but on the idea that composites are phenomena and thus can be real only insofar as they have a foundation in substances, from which they directly ‘borrow’ their reality. The claim that composites are phenomena rests in turn on Leibniz's conceptualism about relations. So understood, what initially looked like a disappointingly simple argument for simples turns out to be a rather rich and sophisticated one. (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 “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)

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)

To escape from the labyrinth of the continuum, Leibniz maintains, we must think very differently about the nature of space, time, bodies, and substances; and in particular we must posit an infinity of simple substances or monads. The main aim of this historically rich and interpretively provocative book is to explain why Leibniz says such things by examining his purported solution and how he arrived at it. Each of the book’s seven chapters focuses on a different “Ariadnean thread” that supposedly (...) helped Leibniz find his way out of the labyrinth. They concern the themes of “composition, aggregation, atoms, forms, motion, substance, and continuation in existence” (6). (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)

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)

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 rigor and precision of Leibniz's "possible world" evolved into the concept of Turing machine, and with the birth of the first computer and the physical realization of Turing machine, human cognitive and intelligent activities were optimistically considered by cognitive scientists to be convertible into computational programs for simulation by machines. Cognitive science then formed the research agenda of "cognitive computationalism", and our Chinese scholars have responded to this general view that "the essence of cognition is computation" and that the (...) human brain and computers are merely formal systems for manipulating and processing symbols in their respective fields. Professor Hong Dingguo used the concepts of "manifest order" and "hidden order", Professor Jin Gulun used the philosophical categories of "constitutive theory" and "generative theory", and Liu Yuesheng used the concept of "cognition". Professor Hong Dingguo reinterpreted the relationship between the "real world" and the "possible world" by using the concepts of "manifest sequence" and "hidden sequence", Professor Jin Wulun used the philosophical categories of "composition theory" and "generation theory", and Professor Liu Yuesheng used the generalized information paradigm of "structural information" and "exchange information". "This provides a profound elucidation of the nature of cognitive logic and the process of human cognitive activities becoming symbols through coding and puts forward theoretical limits. The current theoretical dilemma and practical difficulty of cognitive science lies in the fact that it has developed algorithmic concepts in the Turing sense that can only model the explicitly sequential part of cognitive and intellectual activity, forming a constitutive atomic abstraction, or in our terms, classical "structural information", which cannot fully explain the inner mechanisms of human mental activity and its embodied flexibility, selectivity and self-emergence. Wu Xuemou's pan-system theory does not simply rely on logic and Turing machine algorithms, but models human intelligence by treating structural information as a complex large system composed of a collection of elements and a collection of relations (exchange information: five mutual eight chips), in order to break through the narrow path of seeking only the local consistency of the system as currently done; while Wang Dekui's exploration of the three-spin biological and physical path and Huang Zhanji's abandonment of the artificial means of logic to seek the large logical natural mechanisms and Mr. Zhou Liquan's proposal of a schema for successful communication using natural language on the basis of concepts such as context and implicit connotation ("Logic — A Theory of Correct Thinking and Successful Communication"), all reflect the milestones of Chinese scholars who seek to address the deeper issues of cognitive science. We believe that along this series of explorations, combined with new results in recent years in the fields of artificial life and evolutionary computation, a new research agenda in cognitive science will emerge. (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.

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 (1) where a soul is released by the destruction of its body and is (...) then free to pass into another body, (2) where souls are exchanged without any destruction of bodies, and (3) where human souls (minds) 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 (with all deletions indicated), while the second presents its English translation. (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)

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)

O que é a «harmonia universal»? Uma causa, um efeito, um estado-de-coisas? Como Leibniz escreve a este respeito numa carta a Magnus Wedderkopf, a última razão para o intelecto divino e, consequentemente, a vontade de Deus, é a harmonia. Porém, como razão última, nada existe para lá da própria harmonia. Segundo o raciocínio leibniziano, a harmonia pode assim ser perspetivada não só como um estado-de-coisas, mas também como causa da própria organização das coisas. Muito embora a harmonia possa ser perspetivada (...) de diferentes modos, que manifestam uma unidade entre si, o foco desta análise incide justamente sobre a possibilidade de «perceber», «percecionar», ou melhor, «compreender» a harmonia universal. (shrink)

O presente artigo incide sobre o conceito de expressão no âmbito do pensamento leibniziano, pretendendo, a partir da sua análise, expor a crítica que Fernando Gil lhe tece, nomeadamente no que diz respeito à ideia de “causalidade expressiva”. Passando por vários conceitos leibnizianos como “substância simples”, “força”, “apetição” ou “entre-expressão”, o que se pretende analisar é a reflexão de Fernando Gil relativamente àquilo que o autor considera “a aporia da expressão leibniziana”, e, ainda, a sua reabilitação da inteligibilidade expressiva como (...) pensamento do contínuo, onde inteligibilidade, beleza e simplicidade se implicam mutuamente. (shrink)