Las filosofías de Wolff y Baumgarten han sido tradicionalmente evaluadas como una mera sistematización de las doctrinas de Leibniz, carente de toda originalidad. Se revisa esta opinión, concentrándose en el problema específico de la interacción de las sustancias naturales. Se muestra que ellos no siguen a Leibniz con el mismo grado de cercanía en algunos de los principios centrales de la teoría de la armonía preestablecida. Se problematiza así el uso de la etiqueta "leibnizianismo" como referida a un cuerpo homogéneo (...) e indiferenciado de doctrinas. The philosophies of Wolff and Baumgarten have been traditionally evaluated as mere systematizations of the doctrines of Leibniz, and, therefore, as lacking all originality. The paper revises that opinion, focusing on the specific problem of the interaction of natural substances, in order to show that they do not follow Leibniz as closely with respect to some of the central principles of pre-established harmony. It also questions the use of "Leibnizianism" as a label to refer to a homogeneous and undifferentiated body of doctrines. As filosofias de Wolff e Baumgarten têm sido tradicionalmente avaliadas como uma mera sistematização das doutrinas de Leibniz, carente de toda originalidade. Neste artigo, revisa-se essa opinião concentrando-se no problema específico da interação das substâncias naturais. Mostra-se que eles não seguem Leibniz com o mesmo grau de aproximação em alguns dos princípios centrais da teoria da harmonia preestabelecida. Problematiza-se, assim, o uso da etiqueta "leibnizianismo" como referência a um corpo homogêneo e indiferenciado de doutrinas. (shrink)

Time is one of the most enigmatic notions philosophers have ever dealt with. Once subjected to close examination, almost any feature usually ascribed to time, leads to a plethora of fundamental and hard to resolve questions. Just as philosophers of the eighteenth-century attempted to take account of revolutionary developments in the physical sciences in understanding space, life, and a host of other fundamental aspects of nature (see Jones, Gaukroger, and Smith in this volume) they also engaged in fundamental and fruitful (...) controversies about the nature of time spurred by Newton and others (see Schliesser and Schabas in this volume). In this article, I will attempt to trace the general outlines of these controversies. Special attention will be given to a question that was central for many eighteenth century philosophers and is somewhat less prominent in contemporary, twenty-first century, debates on the nature of time, i.e., whether time can be reduced to, grounded by, or explained through other more basic elements. The concept of time is commonly discussed – both in eighteenth and twenty first century philosophy – in analogy to space. Here I will attempt to focus on time and address the analogies to space only when relevant. This attitude is motivated both by the need to provide as detailed an account as possible of time in the allocated textual space, and by the various dissimilarities between space and time. While space and time can be fruitfully compared and contrasted, the use of metaphors taken from one domain to clarify features belonging to the other domain has the real potential of leading us astray by unconsciously and seamlessly taking metaphorical language in a literal sense. In the first part of this essay, I will discuss the famous debate between Newton, Leibniz and Clarke on the nature of space and time. The second part will address Hume’s understanding of time and the relation between time and causation. In the third and final part, I will discuss Kant’s views on the relation between time and causality, place them in the context of his predecessors, and then examine Salomon Maimon’s attempt to revive the Leibnizian program of reducing time to concepts, within the framework of Kantian philosophy, broadly conceived. (shrink)

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The famous philosopher Leibniz (1646-1716) was also active in the (cultural) politics of his time. His interest in forming scientific societies never waned and his efforts led to the founding of the Berlin Academy of Sciences. He also played a part in the founding of the Dresden Academy of Science and the St. Petersburg Academy of Science. Though Leibniz's models for the scientific society were the Royal Society and the Royal Science Academy of France, his pansophistic vision of scientific cooperation (...) sometimes took on utopian dimensions. In this paper, I will present Leibniz's ideas of scientific cooperation as a kind of religious activity and discuss his various schemes for the founding of such scientific societies. (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)

The infinitesimal methods commonly used in the 17th and 18th centuries to solve analytical problems had a great deal of elegance and intuitive appeal. But the notion of infinitesimal itself was flawed by contradictions. These arose as a result of attempting to representchange in terms ofstatic conceptions. Now, one may regard infinitesimals as the residual traces of change after the process of change has been terminated. The difficulty was that these residual traces could not logically coexist with the static quantities (...) traditionally employed by mathematics. The solution to this difficulty, as it turns out, is to regard these quantities asalso being subject to (a form of) change, for then they will have the same nature as the infinitesimals representing the residual traces of change, and will become,ipso facto, compatible with these latter.In fact, the category-theoretic models which realize the Principle of Infinitesimal Linearity may themselves be regarded as representations of a general concept of variation (cf. Bell (1986)). While the static set-theoretical models represent change or motion by making a detour through the actual (but static) infinite, the varying category-theoretic models enable such change to be representeddirectly, thus permitting the introduction of geometric infinitesimals and, as we have attempted to demonstrate in this paper, the virtually complete incorporation of the methods of the early calculus.It is surely a remarkable — even an ironic — fact that the contradiction between the flux of the objective world and the stasis of mathematical entities has found its resolution in category theory, a branch of mathematics commonly, and, as one now sees, mistakenly, regarded as the summit of gratuitous abstraction. (shrink)

Leibniz, it seems, wishes to reduce statements involving relations or extrinsic denominations to ones solely in terms of individual accidents or, respectively, intrinsic denominations. His reasons for this appear to be that relations are merely mental things (since they cannot be individual accidents) and that extrinsic denominations do not represent substances as they are on their own. Three interpretations of Leibniz''s reductionism may be distinguished: First, he allowed only monadic predicates in reducing statements (hard reductionism); second, he allowed also `implicitly (...) relational predicates'' such as `loves somebody'' (soft reductionism); third, he allowed also `explicitly relational predicates'' such as `loves Helen'' (nonreductionism). Hard reductionism is problematic with respect to Leibniz''s doctrines of universal expression and incompossibility (among other things). Nonreductionism, in turn, faces insurmountable problems with Leibniz''s doctrine of self-sufficiency and internal identification of substances, as well as with that of individual accidents. The remaining option, soft reductionism, standing between the other two interpretations, arguably avoids at least some of their problems. (shrink)

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 (...) helps clarify the nature of Leibnizian happiness. Happiness is a cognitive process (akin to a mood), constituted fundamentally out of pleasure, which is grounded in increases in a substance’s power. A rational substance will sustain its happiness so long as it is more powerful than it is weak, and it is engaging in activities that increase its power. (shrink)

While post-modernist assaults on modernity correctly expose the pretensions of modernity – including its constructs of meaning in history, its abnegation of mystery, and its lapses into scientism, historicism, and relativism – the philosopher and theologian Bernard Lonergan discerned progress as well as decline in recent intellectual history. In part this is because under contemporary conditions we can avoid the pretensions of modernity, since – in the wake of modern science and modern historical scholarship – we witness the differentiation of (...) interiority, which, properly understood as the discovery of the self, may be seen as leading to a new integration of the spiritual, the intellectual, the moral, and the historical. (shrink)

I examine several alleged grounds of the principle of sufficient reason in Leibniz’s philosophy. These include the nature of a requisite and a sufficient condition, the nature of truth, and the nature of harmony. I argue that Leibniz does not ground the PSR in any of these ways. Instead, he is committed to a value-based grounds of the PSR: God creates the best possible world, and the fact that the PSR obtains in this world contributes to it being the best. (...) I conclude by considering some objections to this way of grounding the PSR. (shrink)

Imaguire-Guido_On-the-ontology-of-relations.

Intuitively, an object is something that coheres internally and is largely independent of its environment. But what is the environment? Viewed at one scale, it surrounds and separates objects and differentiates them. Viewed at another scale, it is itself a collection of objects surrounded by environment. At all scales, we describe the world in terms of objects in an environment. I examine the nature of the environment and its role in mediating the object-subject relation. This dedicated analysis of the environment (...) provides a new perspective on the notion of objectivity. (shrink)

La filosofía de Wolff y Baumgarten ha sido tradicionalmente evaluada como nada más que una sistematización, carente de toda originalidad, de las doctrinas de Leibniz. El presente trabajo revisa esta opinión generaliza, concentrándose en el problema específico de la interacción de las sustancias naturales. Se muestra que Wolff y Baumgarten no siguen a Leibniz con el mismo grado de cercanía en relación a algunos de los principios centrales de la teoría armonía preestablecida y, con ello, se problematiza el uso de (...) la etiqueta “leibnizianismo” como referida a un cuerpo homogéneo e indiferenciado de doctrinas. (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)

Despite his commitment to freedom, Leibniz’ philosophy is also founded on pre-established harmony. Understanding the life of the individual as a spiritual automaton led Leibniz to refer to the puzzle of the way out of determinism as the Labyrinth of Freedom. Leibniz claimed that infinite complexity is the reason why it is impossible to prove a contingent truth. But by means of Leibniz’ calculus, it actually can be shown in a finite number of steps how to calculate a summation of (...) infinite parts. It appears that the analogy Leibniz drew between the mathematics of infinite series and the logic of contingent truths did more harm than good. A solution consistent with Leibniz’ perception of infinity is proposed. Alongside the existence of the aforementioned analogy, it is based on a disanalogy between the mathematics of infinite series and the logic of infinitely complex truths. This is a disanalogy that Leibniz had already used to solve the Labyrinth of Continuum which he declared more than once could, like the Labyrinth of Freedom, be solved by means of the nature of infinity. The solution of both labyrinths is based on the fictitiousness of the infinitesimal. (shrink)

La finalidad de este artículo es elucidar el sentido de la doctrina leibniziana de la exigencia de existencia y el combate de los posibles, situándola dentro del conjunto de la metafísica de Leibniz y mostrando su absoluta compatibilidad con la afirmación de la creación libre y voluntaria por parte de Dios. Se intentará explicar qué elementos de la afirmación de la ‘exigencia de existencia’ y el ‘combate de los posibles’ reflejan tesis estric- tamente metafísicas, y cuáles pueden considerarse recursos metafóricos. (...) En este contexto, se explicará qué papel que juega la voluntad divina antecedente en la fundamentación de la tendencia de los posibles a la existencia, y se intentará focalizar el papel específico de la ‘sabiduría’, como atributo divino, en la determinación y elección del mejor mundo posible. Finalmente, se extraerán algunas consecuencias del análisis anterior, en relación con la libertad divina en el acto creador. (shrink)

This article, focusing on the inclusion- in- notion principle in the philosophy of Leibniz and its reading by Gilles Deleuze, claims that Deleuzian approach in the philosophical critique of the philosophy of Leibniz leads to recreation of the concept of the fold and the subject of fold in Leibnizian thought. To achieve this goal, we initially provide an in-depth study of this principle and its related principles in his philosophy and place emphasis upon their ontological aspect. Then we organize Deleuze’s (...) reading of Leibniz’s philosophy around the inclusion-in-notion principle and picture the world of foldings as the outcome of such reading. We make an effort to clarify how the reading of this principle by Deleuze creates new possibilities in the philosophy of Leibniz and gives birth to the Leibnizian- Deleuzian subject of the fold. Therefore, in the last step, we study this Leibnizian- Deleuzian subject and its characteristics, which is the result of the inclusion- in- notion principle. (shrink)