This essay examines the metaphysical foundation of Leibniz’s theory of space against the backdrop of the subtantivalism/relationism debate and at the ontological level of material bodies and properties. As will be demonstrated, the details of Leibniz’ theory defy a straightforward categorization employing the standard relationism often attributed to his views. Rather, a more careful analysis of his metaphysical doctrines related to bodies and space will reveal the importance of a host of concepts, such as the foundational role of God, the (...) holism of both geometry and the material world’s interconnections, and the viability and adequacy of a property theory in characterizing his natural philosophy of space. (shrink)

Gottfried Wilhelm Leibniz (1646–1716) was one of the great thinkers of the seventeenth and eighteenth centuries and is known as the last “universal genius”. He made deep and important contributions to the fields of metaphysics, epistemology, logic, philosophy of religion, as well as mathematics, physics, geology, jurisprudence, and history. Even the eighteenth century French atheist and materialist Denis Diderot, whose views could not have stood in greater opposition to those of Leibniz, could not help being awed by his achievement, writing (...) in his Encyclopedia, “Perhaps never has a man read as much, studied as much, meditated more, and written more than Leibniz… What he has composed on the world, God, nature, and the soul is of the most sublime eloquence. If his ideas had been expressed with the flair of Plato, the philosopher of Leipzig would cede nothing to the philosopher of Athens.” (Vol. 9, p. 379) Indeed, Diderot's mood was almost despairing in a remark from another piece, which also has a great deal of truth in it: “When one compares the talents one has with those of a Leibniz, one is tempted to throw away one's books and go die quietly in the dark of some forgotten corner.” More than a century later, Gottlob Frege, who fortunately did not cast his books away in despair, expressed similar admiration, declaring that “in his writings, Leibniz threw out such a profusion of seeds of ideas that in this respect he is virtually in a class of his own.” (“Boole's logical Calculus and the Concept script” in Posthumous Writings , p. 9) The aim of this entry is primarily to introduce Leibniz's life and summarize and explicate his views in the realms of metaphysics, epistemology, philosophical theology, and natural philosophy. (shrink)

Concepts of mutual interdependence, process, creative advance, and God occupy key areas in the philosophy of Alfred North Whitehead. Process metaphysics lays emphasis on a naturalism of rigorous rational and empirical methodology with far-reaching implications. Process thinkers have compared Whiteheadian thought to Buddhism, Christianity, and many other religions. However, African religious beliefs have yet to be considered in this area of study. Based on the gap in the literature, this article attempts to reconcile such seemingly different spheres. First, I offer (...) an account of Whitehead's process metaphysics regarding the concepts mentioned above. Second, I argue that nonconventional sources of African philosophy offer conceptual understandings of philosophies of African groups and their place in the metaphysical debate. Third, I discuss these key areas of process thought in Anlo traditional pragmatic philosophy. I illustrate their like-mindedness with process metaphysics through language, religious rites, and historical accounts. I conclude that, although process philosophy overlaps in prominent areas with Anlo belief systems, questions regarding the causal nature of God distinguish the Anlo conception of divinity from that of process philosophy. (shrink)

In the second part of this essay, I aim to show that Leibniz, in asserting that bodies are aggregates of substances, wants to affirm something about bodies insofar as they exist a parte rei or in reality: in reality a body is not a being, but a multitude of beings or substances. And this, on my view, is precisely what leads Leibniz to assert that bodies are phenomena: since a body is not in reality a being, but many beings, it (...) follows that a body, conceived as a being, is something that exists only objectively in the soul. That is, a body, conceived as a single thing, is not something real, but an imaginary being, a creature of the mind, a phenomenon. (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)

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

This essay develops a interpretation of Leibniz’ theory of motion that strives to integrate his metaphysics of force with his doctrine of the equivalence of hypotheses, but which also supports a realist, as opposed to a fully idealist, interpretation of his natural philosophy. Overall, the modern approaches to Leibniz’ physics that rely on a fixed spacetime backdrop, classical mechanical constructions, or absolute speed, will be revealed as deficient, whereas a more adequate interpretation will be advanced that draws inspiration from an (...) invariantist conception of reality and recent non-classical theories of physics. (shrink)

I argue for three main claims about Leibniz. (1) He views representation as a kind of structural correspondence between the representing thing and its target. (2) The primary sense in which he considers a perception or representation distinct, as opposed to confused, concerns the degree to which its structure is explicit or consciously accessible. (3) This is also the sense in which he takes concepts or ideas to be distinct.

This essay demonstrates the inadequacy of contemporary substantivalist and relationist interpretations of quantum gravity hypotheses via an historical investigation of the debate on the underlying ontology of space in the seventeenth century. Viewed in the proper context, there are crucial similarities between seventeenth century theories of space and contemporary work on the ontological foundations of spacetime theories, and these similarities challenge the utility of the substantival/relational dichotomy by revealing a host of underlying conceptual issues that do not naturally align with (...) that distinction. (shrink)

During the Italian Renaissance, artists and anatomists compared man to various mechanical devices, in an attempt to uncover knowledge about the structure and processes of the human body. In so doing, they drew on ancient Greek notions of instrumentality and proportion. During the early Scientific Revolution, the metaphor of Man the machine played a key role in the development of mechanistic philosophy. During the Enlightenment, it served views on materialism and atheism. By the nineteenth century, when the Industrial Revolution was (...) in full swing, a fundamental change in the relationship of man to machine had come about. Whereas, for Protagoras, man had been the measure of all things, now suddenly the machine was the standard by which the capacities and limits of man were judged. Man the machine was a key feature in the development of the totalitarian ideology of Communism. Moreover, for over a century now, the technocratic viewpoint has guided many technological innovations. Tracing a history of this metaphor, through Leonardo, Vesalius, Harvey, Descartes, Hobbes, Leibniz, La Mettrie, d'Holbach, Marx and Wells, places man's relationship with technology and his gradual loss of identity since the Renaissance in a new context. (shrink)

I argue Leibniz could not have been a dualist since his notion of matter is not defined by extension but by mentalistic "primitive passive force." So Leibniz was some kind of idealist. However, Leibniz was neither a phenomenal idealist like Berkeley nor a conceptualist idealist like Hegel. Instead, despite some suggestions in favor of the latter kind of idealism, Leibniz must be regarded as an idealist who admitted extraconceptual considerations irreducible to materialism.

Resumen En el presente trabajo analizo el concepto de cuerpo en los escritos maduros de Leibniz. En el marco del debate contemporáneo acerca del estatus de la sustancia corpórea examino el entramado de las tres nociones sobre las que se construye la metafísica leibniziana de los cuerpos, a saber, la de materia prima, la de cuerpo orgánico y la de extensión. En cada caso evalúo el estatus ontológico que Leibniz les reconoce así como el papel que cumplen en su metafísica.In (...) this paper I examine the concept of body in Leibniz’s mature writings. In the context of the contemporary debate on the status of the corporeal substance, I analyze the relation between the three notions from which he builds his metaphysics of bodies, namely, the primary matter, the organic body, and the extension. For each case I evaluate their ontological status and the role they play in his metaphysics. (shrink)

De acordo com o Princípio da Continuidade, adotado por Leibniz, toda mudança ocorre gradativamente, havendo sempre um grau intermediário entre dois estados quaisquer. Esse princípio parece ser, contudo, incompatível com a doutrina leibniziana acerca da natureza da autoconsciência, uma vez que Leibniz, ao menos prima facie, sustenta haver uma diferença de natureza – e não apenas de grau – entre percepções inconscientes e conscientes, fornecendo esta distinção a base para a diferenciação ontológica das mônadas entre puras enteléquias, almas e espíritos. (...) O objetivo principal do presente texto é sugerir uma forma de compatibilização do Princípio da Continuidade com a doutrina leibniziana da autoconsciência. (shrink)

This paper offers a fresh interpretation of Leibniz’s theory of relations. I argue that we should take seriously Leibniz’s idea of non-ideal relations inhering in one subject. Such single-inhering relations should not be understood in terms of non-relational, absolute properties, but in terms of perspectival relations. Through the notion of perspective, we can understand how a relation between two relata inheres in only one of those relata. For example, my perception of you involves my point of view. Therefore, it is (...) individual to me. My perception of you is not equal to your perception of me. However, it does relate me to you. Perspective can thus explain how relations only inhere in one subject while nevertheless really relating one thing to another. This leads to a novel understanding of the rejection of purely extrinsic denominations and the supposed isolation of substances. Published on 2023-03-22 10:43:18. (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)

According Leibniz's thesis of universal expression, each substance expresses the whole world, i.e. all other substances, or, as Leibniz frequently states, from any given complete individual notion (which includes, in internal terms, everything truly attributable to a substance) one can "deduce" or "infer" all truths about the whole world. On the other hand, in Leibniz's view each (created) substance is internally individuated, self-sufficient and independent of other (created) substances. What may be called Leibniz's expression problem is, how to reconcile these (...) views with each other, that is, how a substance that expresses the whole world, even in the sense that the whole world can be "inferred" from its complete individual notion, can be self-sufficient and internally individuated. The purpose of this paper is to give an exact account of this tricky problem of universal expression, an account that retains substances' self-sufficiency under the constraint that all truths about the whole world are to be obtained from complete individual notions. It will also be shown how the explication of universal expression to be given accounts for Leibniz's thesis of universal change, i.e. the view that any change in any substance is reflected as a real, internal change in each and every other substance. (shrink)