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This paper analyses the abstractionist account of quantity championed by Leibniz, especially in the 1680s. Leibniz introduced the notion of quantity in an indirect way, via an abstraction principle. In the first part of the paper, I identify the context in which this approach arose in light of Leibniz's criticism of his earlier dream of an ‘alphabet of human thought’. Recognising the impossibility of such a project led him to realise that, when dealing with terms referring to abstract objects, we (...) |
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In this paper, I will try to look at Leibniz from the topos of Indian philosophy. François Jullien called such a strategy “dépayser la pensée” – to withdraw an idea from its familiar environment and to see it through the lens of a different culture. “Read Confucius to better understand Plato.” I am referring to Indian philosophy, especially to some Buddhist systems, in order to highlight certain aspects of Leibniz’s mode of thinking, that I define as “atomistic approach”. |
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Thomas Hobbes was, rather famously, a nominalist. The core of that nominalism is the belief that the only universal things are universal names: there are no universal objects, or universal ideas. This paper looks at what Hobbes's views about universal names were, how they evolved over time, and how Hobbes argued for them. The remainder of the paper considers two objections to Hobbes's view: a criticism made by several of Hobbes's contemporaries, that Hobbes's view could not account for people saying (...) |
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In this paper I will discuss the doctrine of substance which emerges from Leibniz’s unpublished early memoir De affectibus of 1679. The memoir marks a new stage in Leibniz’s views of the mind. The motivation for this change can be found in Leibniz’s rejection of the Cartesian theory of passion and action in the 1670s. His early Aristotelianism and some features of Cartesianism persisted to which Leibniz added influences from Hobbes and Spinoza. His nascent dynamical concept of substance is seemingly (...) $50.27 new (collection) View on Amazon.com Direct download (2 more)  1 citation |
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Los experimentos mentales son dispositivos epistémicos de la imaginación, o de análisis de problemas filosóficos, que recorren las fronteras de aquella, desde el sillón. Dichas fronteras tocan dilemas perennes de la filosofía: cuestiones de la metafísica, como el tiempo, el espacio y la realidad, el problema de la libertad y el determinismo, la naturaleza de la mente, la identidad personal, los argumentos acerca del significado, las posibilidades, fuentes y condiciones del conocimiento, las relaciones entre discurso y lógica, la ética, cuestiones (...) |
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The distinction between the mental operations of abstraction and exclusion is recognized as playing an important role in many of Descartes’ metaphysical arguments, at least after 1640. In this paper I first show that Descartes describes the distinction between abstraction and exclusion in the early Rules for the Direction of the Mind, in substantially the same way he does in the 1640s. Second, I show that Descartes makes the test for exclusion a major component of the method proposed in the (...) |
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This article introduces three princesses: Princess Elizabeth of Bohemia (1618-1680); her sister, Princess Sophie who became the Electress of Hanover (1630-1714); and Sophie's daughter, Sophie Charlotte, who became the first Queen of Prussia (1668-1705). After summarizing their common family background, the article presents, for each in turn, her biography and a discussion of her relation to philosophy. In each case their philosophical involvement stems from their friendships with the leading philosophers of their day; Princess Elizabeth was a friend of Descartes (...) |
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I thank Tiago Sousa for his thoughtful comments on Young (2020, 2021). I am grateful for the opportunity to revisit Kant’s thoughts on music, which I think I un. |
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I argue that Émilie Du Châtelet breaks with Christian Wolff regarding the scope and epistemological content of the principle of sufficient reason, despite his influence on her basic ontology and their agreement that the principle of sufficient reason has foundational importance. These differences have decisive consequences for the ways in which Du Châtelet and Wolff conceive of science. |
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This paper examines the Leibnizian influence in Deleuze's theory of the spatium. Leibniz's critique of Cartesian extension and Newtonian space leads him to a conception of space in terms of internal determination and internal difference. Space is thus understood as a structure of individual relations internal to substances. Making some Nietzschean corrections to Leibniz, Deleuze understands the spatium in terms of individuating differences instead of individual relations. Leibnizian space is thus transformed into a genetic space producing both extension (quantity) and (...) |
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Why does Deleuze rely so heavily on Spinoza and Leibniz? At first glance, his critique of representation and the traditional ‘image of thought’ seems to oppose him to rationalism. However, Deleuze says that when the ‘cry of rationalism’ is pursued until the end, rationalism becomes ‘delirious’. In such a state, it undermines the model of representation. This delirium is found in Spinoza and Leibniz's critique of generality and their conflation of essence and existence, through which they ruin the traditional mediation (...) |
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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 (...) |
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For centuries, philosophers of time have produced texts containing words and pictures. Although some historians study visual representations of time, I have not found any history of philosophy on pictures of time within texts. This paper argues that studying such pictures can be rewarding. I will make this case by studying pictures of time in the works of Leibniz, Arthur Eddington and C. D. Broad, and argue they play subtle roles. Further, I will argue that historians of philosophy more widely (...) No categories |
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For centuries, philosophers of time have produced texts containing words and pictures. Although some historians study visual representations of time, I have not found any history of philosophy on pictures of time within texts. This paper argues that studying such pictures can be rewarding. I will make this case by studying pictures of time in the works of Leibniz, Arthur Eddington and C. D. Broad, and argue they play subtle roles. Further, I will argue that historians of philosophy more widely (...) No categories |
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Leibniz studies is a distinctive kind of joy. The seventeenth-century polymath made remarkable impacts in a wide-ranging number of domains and their subdomains. The attempt to study one domain in d... |
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The aggregate EIRP of an N-element antenna array is proportional to N 2. This observation illustrates an effective approach for providing deep space networks with very powerful uplinks. The increased aggregate EIRP can be employed in a number of ways, including improved emergency communications, reaching farther into deep space, increased uplink data rates, and the flexibility of simultaneously providing more than one uplink beam with the array. Furthermore, potential for cost savings also exists since the array can be formed using (...) |
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I propose a novel compatibilist interpretation of Leibniz’s mature views concerning what is metaphysically basic. Drawing on a compatibilist reading of Aristotle on primary substance in the Categories and Metaphysics Z, I argue that Leibniz is working with two complementary ways of being metaphysically basic—one applying to immaterial monads, the other to corporeal substances. Although corporeal substances derive their status as basic from their dominant monads, they are nevertheless fully real, unified, and genuinely capable of acting. This perspective respects Leibniz’s (...) |
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I propose a novel compatibilist interpretation of Leibniz’s mature views concerning what is metaphysically basic. Drawing on a compatibilist reading of Aristotle on primary substance in the Categories and Metaphysics Z, I argue that Leibniz is working with two complementary ways of being metaphysically basic—one applying to immaterial monads, the other to corporeal substances. Although corporeal substances derive their status as basic from their dominant monads, they are nevertheless fully real, unified, and genuinely capable of acting. This perspective respects Leibniz’s (...) |
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At the end of 1671 and start of 1672, while in the service of the Archbishop and Elector of Mainz, Leibniz composed his Egypt Plan, which sought to persuade Louis XIV to invade Egypt. Scholars have generally supposed that Leibniz’s rationale for devising the plan was to divert Louis from his intended war with Holland. Little attention has been paid to the religious benefits that Leibniz identified in the plan, and those who do acknowledge them are often quick to downplay (...) |
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Difference and Repetition might be said to have brought about a Deleuzian Revolution in philosophy comparable to Kant’s Copernican Revolution. Kant had denounced the three great terminal points of traditional metaphysics – self, world and God – as transcendent illusions, and Deleuze pushes Kant’s revolution to its limit by positing a transcendental field that excludes the coherence of the self, world and God in favour of an immanent and differential plane of impersonal individuations and pre-individual singularities. In the process, he (...) |
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This paper explains the discipline of somaesthetics, which emerges from pragmatism's concern with enhancing embodied experience and reconstructing the aesthetic in ways that make it more central to key philosophical concerns of knowledge, ethics, and politics. I then examine Beauvoir's complex treatment of the body in The Second Sex, assessing both her arguments that could support the pragmatic approach of somaes-thetics but also those that challenge its bodily focus as a danger for feminism. |
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: This paper explains the discipline of somaesthetics, which emerges from pragmatism's concern with enhancing embodied experience and reconstructing the aesthetic in ways that make it more central to key philosophical concerns of knowledge, ethics, and politics. I then examine Beauvoir's complex treatment of the body in The Second Sex, assessing both her arguments that could support the pragmatic approach of somaesthetics but also those that challenge its bodily focus as a danger for feminism. |
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In this article, I consider a number of arguments that assume that beings who have immortal souls occupy a special position in the sphere of moral concern. First, I place these arguments in their historical and cultural contexts. Next, I formulate several conditions of adequacy that all such arguments must satisfy. Subsequently, I distinguish two different general kinds of such arguments: Inclusionary arguments attempt to use the immortality of soul as a criterion for either including someone into a sphere of (...) |
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I discuss an argument for the monistic idea that the cosmos is the one and only fundamental thing, drawing on the idea that the cosmos is the one and only thing that evolves by the fundamental laws. |
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Descartes notoriously characterizes substance in two ways: first, as an ultimate subject of properties ; second, as an independent entity. The characterizations have appeared to many to diverge on the definition as well as the scope of the notion of substance. For it is often thought that the ultimate subject of properties need not—and, in some cases, cannot—be independent. Drawing on a suite of historical, textual, and philosophical considerations, this essay argues for an interpretation that reconciles Descartes's two characterizations. It (...) |
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I examine two claims that arise in Brown’s account of inertial motion. Brown claims there is something objectionable about the way in which the motions of free particles in Newtonian theory and special relativity are coordinated. Brown also claims that since a geodesic principle can be derived in Einsteinian gravitation, the objectionable feature is explained away. I argue that there is nothing objectionable about inertia and that while the theorems that motivate Brown’s second claim can be said to figure in (...) |
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I propose that we interpret Kant’s argument from incongruent counterparts in the 1768 article ‘Concerning the Ultimate Ground of the Differentiation of Directions in Space’ in light of a theory of dynamic absolute space that he accepted throughout the 1750s and 1760s. This force-based or material conception of space was not an unusual interpretation of the Newtonian notion of absolute space. Nevertheless, commentators have continually argued that Kant’s argument is an utter failure that shifts from the metaphysics of space to (...) |
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In the Monadology Leibniz has us imagine a thinking machine the size of a mill in order to show that matter can’t think. The argument is often thought to rely on the unity of consciousness and the notion of simplicity. Leibniz himself did not see matters this way. For him the argument relies on the view that the qualities of a substance must be intimately connected to its nature by being modifications, limitations of its nature. Leibniz thinks perception is not (...) |
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The topic of disinterested love became fashionable in 1697 due to the famous amour pur dispute between Fénelon (1651-1715) and Bossuet (1627-1704). It soon attracted the attention of Electress Sophie of Hanover (1630-1714) and she asked for an opinion about the dispute from her trusted friend and correspondent, the Hanoverian councilor Gottfried Wilhelm Leibniz (1646-1716). This gave Leibniz an opportunity to present his views on the matter, which he had developed earlier in his career (for example, in Elementa juris naturalis (...) |
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This paper explains the discipline of somaesthetics, which emerges from pragmatism's concern with enhancing embodied experience and reconstructing the aesthetic in ways that make it more central to key philosophical concerns of knowledge, ethics, and politics. I then examine Beauvoir's complex treatment of the body in The Second Sex, assessing both her arguments that could support the pragmatic approach of somaesthetics but also those that challenge its bodily focus as a danger for feminism. |
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Descartes croyait que le monde étendu ne se terminait pas par une borne, mais pourquoi? Après avoir expliqué la position de Descartes au §1, en suggérant que sa conception de l’étendue indéfinie de l’univers devrait être entendue comme actuelle, mais syncatégorématique, nous nous penchons sur son argument dans le §2 : toute postulation d’une surface extérieure au monde sera autodestructrice, parce que la simple contemplation d’une telle borne nous conduira à reconnaître l’existence d’une étendue allant au-delà. Au §3, nous identifions (...) |
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This is a survey of the concept of continuity. Efforts to explicate continuity have produced a plurality of philosophical conceptions of continuity that have provably distinct expressions within contemporary mathematics. I claim that there is a divide between the conceptions that treat the whole continuum as prior to its parts, and those conceptions that treat the parts of the continuum as prior to the whole. Along this divide, a tension emerges between those conceptions that favor philosophical idealizations of continuity and (...) |
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Descartes’ Rules for the direction of the mind presents us with a theory of knowledge in which imagination, considered as an “aid” for the intellect, plays a key role. This function of schematization, which strongly resembles key features of Proclus’ philosophy of mathematics, is in full accordance with Descartes’ mathematical practice in later works such as La Géométrie from 1637. Although due to its reliance on a form of geometric intuition, it may sound obsolete, I would like to show that (...) No categories |
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I thank the editors for inviting me to contribute to this issue on critical views of logic. Kant invented the critical philosophy. He fashioned its doctrines (Understanding versus Reason, synthetic... No categories |
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Leibniz is unclear about the nature of pleasure. In some texts, he describes pleasure as a perception of perfection, while in other texts he describes pleasure as being caused by a perception of perfection. In this article, I disambiguate two senses of “perception of perfection”, which clarifies Leibniz’s considered position. I argue that pleasure is a perception of an increase in a substance’s power which is caused by a substance’s knowledge of a perfection of the universe or God. This reading (...) |
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This paper provides a definitive answer, based on considerations derived from first-order logic, to the question regarding the status of elementary geometry, whether elementary geometry can be reduced to algebra. The answer we arrive at is negative, and is based on a series of structural questions that can be asked only inside the geometric formal theory, as well as the consideration of reverse geometry, which is the art of finding minimal axiom systems strong enough to prove certain geometrical theorems, given (...) |
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This paper argues that Spinoza held substances other than God to be inconceivable. It uses this claim to develop a novel response to the Problem of Other Substances, the problem of explaining why some of Spinoza’s proofs for God’s existence cannot be used to prove the existence of a non-divine substance instead. |
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The paper examines three essays that Leibniz wrote in 1688, immediately after the composition of the Discourse on Metaphysics, one of his most organic philosophical works. The main topics which emerge from these essays are: the relationship between substance and accidents; the nature of accidents; and, more generally, the nature of abstract entities. Given that accidents’ nature is that of changing, Leibniz sees how hard it is to give an account of the relationship between substance and accidents that does not (...) No categories |
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The focus of the following comments will be mainly on Mugnai's characterization of Leibniz's ‘mild nominalism’. Mugnai seems to suggest that Leibniz might have had in mind an ontological commitment view. My idea is that such a construal can be somewhat misleading, for Leibniz's ontological cautiousness seems to stem, in an utter Ockhamistic spirit, from more general considerations about theory building and theory choice. No categories |
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The focus of the following comments will be mainly on Mugnai's characterization of Leibniz's ‘mild nominalism’. Mugnai seems to suggest that Leibniz might have had in mind an ontological commitment view. My idea is that such a construal can be somewhat misleading, for Leibniz's ontological cautiousness seems to stem, in an utter Ockhamistic spirit, from more general considerations about theory building and theory choice. |
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The category of sympathy marks a number of basic divisions in early modern approaches to action explanations, whether for human agency or for change in the wider natural world. Some authors were critical of using sympathy to explain change. They call such principles “unintelligible” or assume they involve “mysterious” action at a distance. Others, including Margaret Cavendish, Anne Conway, and Gottfried Wilhelm Leibniz, appeal to sympathy to capture natural phenomena, or to supply a backbone to their metaphysics. Here I discuss (...) |
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This article offers a reconstruction of Derrida’s critique of Leibniz. It suggests that in attempting to fit Leibniz into his conception of the history of metaphysics and the all-embracing notion of logocentrism that underwrites it, Derrida presupposes two regimes of logocentrism: one subjective, the other theological. Subsumed into this second mode, Derrida casts Leibniz as a progenitor of structuralism and the new sciences and technologies of information in order to expose their logocentric foundations. However, in doing so, he ends up (...) |
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