Leibniz’s views on modality are among the most discussed by his interpreters. Although most of the discussion has focused on Leibniz’s analyses of modality, this essay explores Leibniz’s grounding of modality. Leibniz holds that possibilities and possibilia are grounded in the intellect of God. Although other early moderns agreed that modal truths are in some way dependent on God, there were sharp disagreements surrounding two distinct questions: (1) On what in God do modal truths and modal truth-makers depend? (2) What (...) is the manner(s) of dependence by which modal truths and modal truth-makers depend on God? Very roughly, Leibniz’s own answers are: (1) God’s intellect and (2) a form of ontological dependence. The essay first distinguishes Leibniz’s account from two nearby (and often misunderstood) alternatives found in Descartes and Spinoza. It then examines Leibniz’s theory in detail, showing how, on his account, God’s ideas provide both truth-makers for possibilities and necessities and an ontological foothold for those truth-makers, thereby explaining modal truths. Along the way, it suggests several refinements and possible amendments to Leibniz’s grounding thesis. It then defends Leibniz against a pair of recent objections by Robert Merrihew Adams and Andrew Chignell that invoke the early work of Kant. I conclude that whereas Leibniz’s alternative avoids collapsing into yet another form of Spinozism, the alternatives proposed by Adams, Chignell, and the early Kant do not. (shrink)

This paper explores a PSR-connected trail leading from theistic idealism to a form of substance monism. In particular, I argue that the same style of argument available for a Leibnizian form of metaphysical idealism actually leads beyond idealism to something closer to Spinozistic monism. This path begins with a set of theological commitments about the nature and perfection of God that were widely shared among leading early modern philosophers. From these commitments, there arises an interesting case for metaphysical idealism, roughly (...) the thesis that only minds and mind-dependent states actually exist. However, I contend, that same theistic reasoning also leads to an idealist form of substance monism, the view that God is the only actual substance and that almost everything else is merely an intentional object in God’s mind. (shrink)

Leibniz's well-known thesis that the actual world is just one among many possible worlds relies on the claim that some possibles are incompossible , meaning that they cannot belong to the same world. Notwithstanding its central role in Leibniz's philosophy, commentators have disagreed about how to understand the compossibility relation. We examine several influential interpretations and demonstrate their shortcomings. We then sketch a new reading, the cosmological interpretation, and argue that it accommodates two key conditions that any successful interpretation must (...) satisfy. (shrink)

Leibniz speaks, in a variety of contexts, of there being two realms—a "kingdom of power or efficient causes" and "a kingdom of wisdom or final causes." This essay explores an often overlooked application of Leibniz's famous "two realms doctrine." The first part turns to Leibniz's work in optics for the roots of his view that nature can be seen as being governed by two complete sets of equipotent laws, with one set corresponding to the efficient causal order of the world, (...) and the other to its teleological order. The second part offers an account of how this picture of lawful over-determination is to be reconciled with Leibniz's mature metaphysics. The third addresses a line of objection proposed by David Hirschmann to the effect that Leibniz's doctrine undermines his stated commitment to an efficient, broadly mechanical account of the natural world. Finally, the fourth part suggests that Leibniz's thinking about the harmony of final and efficient causes in connection with corporeal nature may help to shed light on his understanding of the teleological unfolding of monads as well. (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)

According to the standard view of his metaphysics, Leibniz endorses idealism: the thesis that the world is made up solely of minds or monads and their perceptual and appetitive states. Recently,this view has been challenged by some scholars, who argue that Leibniz can be seen as admitting corporeal substances, that is, animals or embodied souls, into his ontology, and that, therefore, it is false to attribute a strict idealism to him. Subtler accounts suggest that Leibniz begins his philosophical career as (...) an advocate of (some form of) the modern ‘mechanical’ philosophy and ends his career as an idealist, raising the issue when and why Leibniz adopts his monadological metaphysics. This article argues that, given a constellation of metaphysical, logical, and theological views, Leibniz is committed to the ontological primacy of mind or form even in his ‘middle years’. (shrink)

The article is a critical notice of Daniel Garber, Leibniz: Body, Substance, Monad. Garber presents a developmental reading of Leibniz's metaphysics that focuses on Leibniz's evolving analysis of body and force as the key to his account of substance. Garber claims that Leibniz shifts from an early theory of body to a theory of corporeal substance in his middle years, and only develops a theory of monads in his later writings—and that even then Leibniz looks not to abandon the scheme (...) of corporeal substances but to reconcile it with that of monads. The present article considers several challenges to Garber's interpretation, questioning, among other things, Garber's claims about development and Garber's account of Leibniz's primary arguments for the theory of monads. The article concludes that while crucial elements of the standard interpretation of Leibniz as an idealist can be defended against Garber's critique, the original traditional view that takes the theory of monads as the first and most fundamental principle of Leibniz's metaphysics is no longer sustainable. (shrink)

This article examines the rift in Leibniz’s conception of determinism after being rebuffed by the Parisian theologian Antoine Arnauld in their correspondence of 1686. As, in addition, his study of surds infracted his confidence in the “complete concept,” Leibniz embarked on a new, dynamic doctrine of substance or “law of the series.” In the literature, this strategy has been widely understood as “tweaking” the system to allow some self-assertion of free will. But as this article will show, it amounts to (...) a revolutionary conception that culminates in the unmasking of determinism as an insupportable, indeed incoherent doctrine. As all forms of determinism are profoundly entangled with human self-perception, the Leibnizian Kehre invites us to a new engagement with human freedom and autonomy and the disentanglement from a philosophical position for which neither a metaphysical nor an empirical proof can be given. (shrink)

This paper explores the theory of freedom that Emilie du Châtelet advances in her essay “On Freedom.” Using contemporary terminology, we can characterize this theory as a version of agent-causal compatibilism. More specifically, the theory has the following elements: (a) freedom consists in the power to act in accordance with one’s choices, (b) freedom requires the ability to suspend desires and master passions, (c) freedom requires a power of self-motion in the agent, and (d) freedom is compatible with moral necessity (...) but not with physical necessity. While these elements may at first appear disparate, the paper shows that they fit together quite well. The resulting theory is a surprising combination of doctrines that appear to be based on Samuel Clarke’s libertarian account of free will and doctrines that are reminiscent of the compatibilist accounts of John Locke, Anthony Collins, Gottfried Leibniz, and Thomas Hobbes. (shrink)

I demonstrate that the pre-Critical Kant is essentialist and intellectualist about the relational properties of substances. That is to say, God can choose whether or not to create a substance, and whether or not to connect this substance with other substances, so as to create a world: but God cannot choose what the nature of the relational properties is, once the substance is created and connected. The divine will is constrained by the essences of substances. Nonetheless, Kant considers that essences (...) depend upon God, in that they depend upon the divine intellect. I conclude by gesturing towards some possible implications of this interpretation, when considering the role that might be played by God – both historically and conceptually – in relation to the notion of ‘laws of nature’, and when understanding Kant's transcendental idealism and his Critical conception of freedom. (shrink)

In this paper, I shall assess the ontological commitments of frame-based methods of knowledge representation. Frames decompose concepts into recursive attribute-value structures. The question is: are the attribute values in frames to be interpreted as universal properties or rather as tropes? I shall argue that universals realism and trope theory face similar complications as far as non-terminal values, i.e., values which refer to the determinable properties of objects, are concerned. It is suggested that these complications can be overcome if one (...) is prepared to adopt an ontology of structured complexes. Such an ontology, in turn, is indifferent as to whether attribute values are interpreted as universals or as tropes. (shrink)

Leibniz argues that God doesn't create everything possible because not all possible things are compossible, that is, compatible with each other. Much recent debate has focused on Leibniz's conception of compossibility. One important aspect of this debate, which has not been examined directly, is the distinction between possible worlds and possible creations: the notion of possible world is more robust than simply whatever God can create. Many commentators have relied on this distinction without a clear formulation of it. I develop (...) the distinction between possible worlds and possible creations by looking at how Leibniz characterizes what God is capable of creating. I argue that possible creations must be both logically consistent and determinate. Possible creations differ from possible worlds insofar as possible creations fail to be either maximal or harmonious. I conclude, therefore, that focusing on the notion of determinateness offers a new approach to answering the question why doesn't God create everything possible? (shrink)

Leibniz claims that for every possible substance S there is an individual concept that includes predicates describing everything that will ever happen to S, if S existed. Many commentators have thought that this leads Leibniz to think that all properties are had essentially, and thus that it is not metaphysically possible for substances to be otherwise than the way their individual concept has them as being. I argue against this common way of reading Leibniz’s views on the metaphysics of modality. (...) I develop a model in which individual concepts are innocent; that is, individual concepts are divine ideas that permit God to know everything that will ever happen to all possible substances, if created, but these individual concepts neither require that all properties are had essentially nor require that it is metaphysically necessary for substances to be the way their individual concepts have them as being. (shrink)

This paper offers a metaphysical explanation of the identity and distinctness of concrete objects. It is tempting to try to distinguish concrete objects on the basis of their possessing different qualitative features, where qualitative features are ones that do not involve identity. Yet, this criterion for object identity faces counterexamples: distinct objects can share all of their qualitative features. This paper suggests that in order to distinguish concrete objects we need to look not only at which properties and relations objects (...) instantiate but also how they instantiate these properties and relations. I propose that objects are identical when they stand in certain qualitative relations in virtue of their existence. And concrete objects are distinct when they do not stand in the same kinds of relations to one another in virtue of their existence. (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)

Two arguments are offered here for postulating individual essences of concrete individuals on top of their sortal essences. One is the explanatory gap argument, the other draws on the analogy with the individual essences of events presupposed in single causal explanations. These arguments support qualitative individual essences with explanatory goals as opposed to hybrid impure relational essences accounting for origin and numerical identity. It is highlighted why origin properties as parts of impure relational essences do not yield genuine de re (...) constructions. The distinction between the two types of individual essences is traced back to the ambiguity of the very notion of individuation. (shrink)

I explain Kant’s critique of Leibniz’s rejection of real opposition in the Amphiboly in the context of Kant’s pre-Critical writings on vis viva and negative magnitudes and his Metaphysical Foundations of Natural Science. Properly contextualized in terms of the vis viva controversy, I argue, Kant’s arguments against Leibniz succeed, even though they are laden with theoretical inconsistencies and operate under false physical premises.