The paper offers a new account of Spinoza's conception of “substance”, the fundamental building block of reality. It shows that it can be demonstrated apriori within Spinoza's metaphysical framework that (i) contrary to Idealist readings, for Spinoza there can be no substance that is not determined or modified by some other entity produced by substance; and that (ii) there can be no substance (and hence no being) that is not a thinking substance.

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)

The Principle of Sufficient Reason is a powerful and controversial philosophical principle stipulating that everything must have a reason or cause. This simple demand for thoroughgoing intelligibility yields some of the boldest and most challenging theses in the history of metaphysics and epistemology. In this entry we begin with explaining the Principle, and then turn to the history of the debates around it. A section on recent discussions of the Principle will be added in the near future.

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)

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)

This work presents to dance and music scholarship the concept of competence, developed and deployed by Greimas, together with the semiotic concepts of counterpoint and harmony. I emphasize competence as a temporal process that requires sanction by an external entity and which corresponds to the level of surface narrative syntax within Greimas’s method of ‘generative trajectory’. To exemplify the application of the generative trajectory to dance, I present the case of the contrapunto de zapateo from Peru. In this step dance, (...) two or more dancers take turns and perform for an audience who claps and cheers for them and upon whom depends the appreciation of their competence. To better account for the complex relations between all actors of the contrapunto, I resort to the concept of semiotic counterpoint, which is first explained by means of input–output boxes, inspired by black box modeling in engineering. Counterpoint is also represented using equations, especially to address memory/retention and prediction/protention, with a subsequent discussion of its relevance and articulation to Greimas’s semiotics. Finally, I complement counterpoint with Leibniz’s definition of harmony and Spinoza’s principle of maximization of action, in order to account for different kinds of fluent interactions between dancers, arguing for its application not only to the contrapunto de zapateo, but also to dances such as Capoeira, breakdancing, and contact improvisation. (shrink)

Spinoza reasons about impossibilities on a regular basis. But he also says they're unthinkable and that reasoning is a mental process. How can he do this? The paper defends a linguistic account of counterpossible inferences in Spinoza's geometrical method.

This paper proposes a novel reading of Kant’s account of the dependence of possibility on God in the pre-Critical Beweisgrund. I argue that Kant has a theistic-potentialist conception of the way God grounds possibility, according to which God grounds possibility by his understanding and will. The reason is that Kant accepts what I call the Principle of Possible Existence: If something is possible, then it is possible that it exists. Furthermore, I explore the connection between causal powers and possibility, the (...) influence of Crusius on Kant, and the significance of the distinction between internal and external possibility. (shrink)

Kant’s postulate of possibility states that possible is whatever agrees with the formal conditions of experience. As has often been noted, this is a definition of real possibility. However, little attention has been paid to the relation of Kantian real possibility to the German philosophical tradition before him. I discuss three kinds of possibility present in this tradition – internal, external, and (Crusian) real possibility – and argue that Kant endorses internal and external possibility. Furthermore, I show, specifically with respect (...) to the concept of state (Zustand), that the three traditional conceptions are reminiscent of three conceptions of real possibility that Kant implicitly distinguishes. Lastly, I argue that, according to Kant, we need experience to prove real possibility (at least as regards the three conceptions of the real possibility of states) because otherwise we could not know whether the formal conditions of experience obtain. (shrink)

ABSTRACTMost of Spinoza’s arguments for God’s existence do not rely on any special feature of God, but instead on merely general features of substance. This raises the following worry: those arguments prove the existence of non-divine substances just as much as they prove God’s existence, and yet there is not enough room in Spinoza’s system for all these substances. I argue that Spinoza attempts to solve this problem by using a principle of plenitude to rule out the existence of other (...) substances and that the principle cannot be derived from the PSR, as many claim.Abbreviation: PSR: Principle of Sufficient Reason. (shrink)

Dentro de las tesis que definen la metafísica de Leibniz, destaca aquella según la cual las esencias encierran una pretensión a la existencia. Esta tesis ha despertado un singular interés entre los comentaristas de Leibniz, dando origen a un debate que enfrenta a aquellos que defienden una interpretación metafórica con aquellos que profesan una interpretación literal: si el primer grupo sostiene que tal pretensión ha de entenderse como una atribución metafórica en virtud de la cual las esencias, desprovistas de tal (...) característica, son susceptibles de alcanzar la existencia al ser actualizadas por Dios, para el segundo grupo, las esencias son portadoras en sí de tal característica, la que debe entenderse entonces como una cualidad real e inherente presente en ellas. A partir de un examen de diversos manuscritos de Leibniz, nuestro propósito es reivindicar una interpretación literal de la tesis de la pretensión de las esencias a la existencia, explicando por qué la interpretación metafórica, además de carecer de fundamento, entraña contradicciones. (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)

Spinoza’s own words seem to commit him to necessitarianism. Nonetheless attempts have been made to make room for contingency in Spinozism. Two impressive arguments of this kind are Curley 1969 and Newlands 2010. Both these arguments appeal to Spinoza’s claim that all finite things are locked in an infinite nexus of causal relations. The question central to this paper is whether contingency can indeed be derived from an infinity of causal ancestors. The goal of the paper is twofold. First, I (...) aim to present an alternative reading of the relation between infinity and Spinoza’s concept of contingency. On my reading, while the infinity of the causal ancestry of finite things does not ground any objective metaphysical contingency on their part, it is a condition which must obtain if they are to appear as contingent. Second, I aim to challenge the derivations of contingency from infinity mentioned above. I will do so by targeting Curley’s assumption that propositions rather than things are the main bearers of modality. On Newlands’ interpretation, the conceivability of things as either contingent or necessary makes the world more perfect than it would otherwise have been. By drawing upon Spinoza’s analysis of “negative” properties, I question whether beliefs about contingency contribute to the perfection of the world in virtue of truly attributing the property of objective contingency to things. (shrink)

This essay critically examines a widely held assumption in interpreting Leibniz's modal metaphysics: that whatever is necessarily actual is necessary. I argue that Leibniz rejected this axiom for principled reasons having to do with his views on the grounding of metaphysical modalities in divine power and intellect (but not divine will). I also argue that if we read him in light of this rejection, his per se possibility theory becomes (contrary to its reception in the literature) quite successful in addressing (...) the problem of necessitarianism. (shrink)

Metaphysics and ethics are two distinct fields in academic philosophy. The object of metaphysics is what is, while the object of ethics is what ought to be. Necessitarianism is a modal doctrine that appears to obliterate this neat distinction. For it is commonly assumed that ought (at least under normal circumstances) implies can. But if necessitarianism is true then I can only do what I actually do. Hence what I ought to do becomes limited to what I in fact do. (...) This is one widespread way of construing the danger that necessitarianism poses for ethics. There is, however, another way in which this collapse of what is with what ought to be can be construed. One could think of what is as already being what ought to be, of the two being one. On this picture, everything that is, is already valuable. In this thesis I explore the theory that being is intrinsically valuable. I do so by investigating the philosophy of perfection present in the works of the early modern rationalist Spinoza. For in his philosophy of perfection, I argue, we find being and value to be perfectly aligned. Hence, my reading challenges a widespread interpretation, according to which (ontological) perfection is divested of normativity in Spinozism. The position that all being is intrinsically valuable since it is perfect may be thought to be incompatible with human perfectionism. For what room can there be for human progress toward an ideal of perfection if all that exists, is necessarily perfect? The goal of the thesis is to respond to this question by providing a systematic interpretation of the metaphysics of human perfectibility in Spinoza’s philosophy. In order to achieve this goal, I undertake two tasks. First, I examine Spinoza’s multi-faceted philosophy of perfection. I distinguish between ontological and teleological perfection. Moreover, I argue that since Spinoza maintains that everything is perfect to the extent that it is, perfection shoulders the role of a transcendental within his system. In order to highlight the normative significance of transcendental perfection, I compare Spinoza’s thought with the transcendental theory of the good in Thomas Aquinas. In addition, I distinguish between ontological and speculative perfection. Speculative perfection is conscious awareness of ontological perfection. Second, I show how infinity plays an essential role in Spinoza’s ethics by indicating how we, by availing ourselves of this notion, are able to acquire a perspective on reality from which its ontological perfection may be discovered. On this basis, I am able to demonstrate the (relatively understudied) ethical and soteriological importance of Spinoza’s conception of infinity. I argue that it is because (a) Spinoza’s ideal of human perfection is speculative, and because (b) one will be able to establish the (ontological) perfection of things by deducing it from the divine essence only when one considers this essence absolutely infinite, that (c) the absolute infinity of the divine essence plays a significant role in Spinoza’s account of human perfection as consisting in conscious awareness of the value of all being. (shrink)