In several of his writings from the 1680s, Leibniz presents an argument for the claim that there are no determinate or precise shapes in things, and states that shape contains something imaginary a...

No século XVII, vemos a emergência de uma nova abordagem geométrica às seções cônicas. Desenvolvida inicialmente por Girard Desargues e por Blaise Pascal, tal geometria é herdeira do método de representação pela perspectiva linear a aponta na direção da geometria projetiva do século XIX. Estudos recentes de J. Echeverría e de V. Debuiche iniciaram a discussão da recepção de tais trabalhos por Leibniz, assim como a relação deles com os trabalhos do próprio Leibniz em perspectiva e com a Geometria situs. (...) Este artigo percorre algumas questões associadas a estes domínios, assim como a importância do paradigma da perspectiva para a filosofia de Leibniz. (shrink)

Concerning Descartes and Kant, Michel Fichant and Jean Luc Marion claim that “when Kant thinks, Descartes still implicitly advances”. Yet, is a convergence among ontological theses (Heidegger) sufficient to nullify divergences among methodological grounds? To refuse the relationship of inherency "Descartes in Kant”, it is necessary to move from the standpoint of being to that of thinking, and observe in what sense words like “evidence” and “certainty”, once redefined by Kant, clarify the originality of the methodological problem of the Critique (...) of Pure Reason. (shrink)

This paper discusses some of C. S. Peirce’s insights about continuity in his attempt to grasp the concept of the mathematical continuum. After a discussion of his earlier notions which he called ‘Kanticity’ and ‘Aristotelicity’ we arrive at his later belief that a continuum is rather a system of potential points. In his mature views, Peirce grasps a continuum as “a whole range of possibilities” without points at all. In the sequel, we turn to take into account some of Leibniz’s (...) attempts to deal with continuity and the continuum and we compare Peirce and Leibniz’s approaches detecting certain impressive similarities and differences. (shrink)

In diesem Artikel geht es um die historische und konzeptuelle Entwicklung von Charles Bonnets (1720-1793) allgemeiner Systemtheorie organismischer Ordnung. Hierfür wird der Kontext von Bonnets Ansatz in Naturgeschichte und Philosophie rekonstruiert. Leitfaden zur Analyse von Bonnets Systemtheorie bildet das Problem der doppelten Verortung des Organischen: Zum einen unterscheiden sich organisierte Körper durch ihre Ordnungsform von allen nicht organisierten Körpern, und zum anderen reihen sie sich zusammen mit den nicht-organisierten Körpern in eine Stufenleiter der Wesen ein, die von den Elementen bis (...) zum Menschen reicht und Mineralien, Pflanzen und Tiere umfasst. Anhand dieser Problemstellung wird eine Interpretationsebene entwickelt, die es erlaubt, Bonnets Ansatz einer bestimmten Transformation zwischen klassischer Metaphysik und Naturgeschichte zuzuordnen. The article focuses on the historical and conceptual development of Charles Bonnet's (1720-1793) general system theory of organismic order. The context of Bonnet's work will be reconstructed in natural history and philosophy. The problem of the double position of organic bodies is central for the understanding of Bonnet's theory: On the one hand, organized bodies are different from all non-organized bodies, and on the other hand, organized and non-organized beings form a single scale of beings that reaches from the elements to minerals, plants, animals and humans. This problematic setting will be characterized as a specific transformation between classical metaphysics and natural history. (shrink)

It is difficult to imagine mathematics without its symbolic language. It is especially difficult to imagine doing mathematics without using mathematical notation. Nevertheless, that is how mathematics was done for most of human history. It was only at the end of the sixteenth century that mathematicians began to develop systems of mathematical symbols . It is startling to consider how rapidly mathematical notation evolved. Viète is usually taken to have initiated this development with his Isagoge of 1591, and a recognisably (...) modern symbol system was available by the 1630s . In little more than a generation, mathematicians went from writing mathematics in natural language to manipulating symbols much as we do today. The manipulation of symbols became both a source of new mathematics and a mode of mathematical argument. This required profound conceptual changes in both mathematics and philosophy; antique conceptions of number, proof, language, and mathematics had to be replaced or at least suspended. Thus, the development of mathematical symbolism was sufficiently rapid and profound to justify the word ‘revolution’.Moreover, what began as a technical innovation in mathematics soon took on a wider philosophical significance. The last line of Viète's introduction reads ‘To solve every problem’. Viète presumably meant that his algebra would solve every mathematical problem . However, two generations after Descartes, the teenage Leibniz articulated the characteristically modern dream of a general algebra of thought . In this ‘universal characteristic’, conceptual errors would …. (shrink)

Leibniz consistently denies that unbaptized infants are condemned to hell in virtue of original sin. He is less than forthcoming, however, about where they go when they die. Scholars are divided on this issue. Some think that, according to Leibniz, they go to limbo, while others think that he is committed to the view that they go to heaven. The aim of this paper is to show that this scholarly attention is misguided and that Leibniz does not defend a position (...) regarding the fate of unbaptized infants. (shrink)

This article is an introduction to Herbart's monadology. It discusses the fundamental concepts of his monadology and its similarity to Leibniz's monadology. A final section discusses the vexed question of Herbart's realism. It is argued that Herbart is more a transcendental idealist than a realist.

New light is shed on Leibniz’s commitment to the metaphysical priority of the intensional interpretation of logic by considering the arithmetical and graphical representations of syllogistic inference that Leibniz studied. Crucial to understanding this connection is the idea that concepts can be intensionally represented in terms of properties of geometric extension, though significantly not the simple geometric property of part-whole inclusion. I go on to provide an explanation for how Leibniz could maintain the metaphysical priority of the intensional interpretation while (...) holding that logically the intensional and the extensional stand in strictly inverse relation to each other. (shrink)

In The Fold, Deleuze regards Raymond Ruyer as the most recent of Leibniz’s great disciples. This claim is not self-evident, since Ruyer often criticises Leibniz and stresses the divergence of his theory from Leibniz’s monadological metaphysics. Therefore, while Ruyer does not seem to regard himself as indebted to Leibniz, and as his psychobiology is not always reconcilable with Leibniz’s philosophy, it is necessary to explore what is at stake in Deleuze’s recognition of Ruyer as a Leibnizian thinker. This essay foregrounds (...) the tacit intertwining between Leibniz and Ruyer, which can, on the one hand, contribute to Leibniz’s scholarship and uncover the contemporaneity of his thought, and on the other hand, expose certain revealing Ruyerian moments in Deleuze’s immanent philosophy. (shrink)

In contrast with some recent theories of infinitesimals as non-Archimedean entities, Leibniz’s mature interpretation was fully in accord with the Archimedean Axiom: infinitesimals are fictions, whose treatment as entities incomparably smaller than finite quantities is justifiable wholly in terms of variable finite quantities that can be taken as small as desired, i.e. syncategorematically. In this paper I explain this syncategorematic interpretation, and how Leibniz used it to justify the calculus. I then compare it with the approach of Smooth Infinitesimal Analysis, (...) as propounded by John Bell. I find some salient differences, especially with regard to higher-order infinitesimals. I illustrate these differences by a consideration of how each approach might be applied to propositions of Newton’s Principia concerning the derivation of force laws for bodies orbiting in a circle and an ellipse. “If the Leibnizian calculus needs a rehabilitation because of too severe treatment by historians in the past half century, as Robinson suggests (1966, 250), I feel that the legitimate grounds for such a rehabilitation are to be found in the Leibnizian theory itself.”—(Bos 1974–1975, 82–83). (shrink)

In this paper I offer a fresh interpretation of Leibniz’s theory of space, in which I explain the connection of his relational theory to both his mathematical theory of analysis situs and his theory of substance. I argue that the elements of his mature theory are not bare bodies (as on a standard relationalist view) nor bare points (as on an absolutist view), but situations. Regarded as an accident of an individual body, a situation is the complex of its angles (...) and distances to other co-existing bodies, founded in the representation or state of the substance or substances contained in the body. The complex of all such mutually compatible situations of co-existing bodies constitutes an order of situations, or instantaneous space. Because these relations of situation change from one instant to another, space is an accidental whole that is continuously changing and becoming something different, and therefore a phenomenon. As Leibniz explains to Clarke, it can be represented mathematically by supposing some set of existents hypothetically (and counterfactually) to remain in a fixed mutual relation of situation, and gauging all subsequent situations in terms of transformations with respect to this initial set. Space conceived in terms of such allowable transformations is the subject of Analysis Situs. Finally, insofar as space is conceived in abstraction from any bodies that might individuate the situations, it encompasses all possible relations of situation. This abstract space, the order of all possible situations, is an abstract entity, and therefore ideal. (shrink)

This paper employs the revised conception of Leibniz emerging from recent research to reassess critically the ‘radical spiritual revolution’ which, according to Alexandre Koyré’s landmark book, From the closed world to the infinite universe was precipitated in the seventeenth century by the revolutions in physics, astronomy, and cosmology. While conceding that the cosmological revolution necessitated a reassessment of the place of value-concepts within cosmology, it argues that this reassessment did not entail a spiritual revolution of the kind assumed by Koyré, (...) in which ‘value-concepts, such as perfection, harmony, meaning and aim’ were shed from the conception of the structure of the universe altogether. On the contrary, thanks to his pioneering intuition of the distinction between physical and metaphysical levels of explanation, Leibniz saw with great clarity that a scientific explanation of the universe which rejected the ‘closed world’ typical of Aristotelian cosmology did not necessarily require the abandonment of key metaphysical doctrines underlying the Aristotelian conception of the universe. Indeed the canon of value-concepts mentioned by Koyré—meaning, aim, perfection and harmony—reads like a list of the most important concepts underlying the Leibnizian conception of the metaphysical structure of the universe. Moreover, Leibniz’s universe, far from being a universe without God—because, as Clarke insinuated, it does not need intervention from God—is a universe which in its deepest ontological fabric is interwoven with the presence of God.Author Keywords: Leibniz; Koyré; Clarke; Universe; Cosmology; Harmony. (shrink)

There’s a common line of reasoning which supposes that the phenomenal unity of conscious experience is grounded in a mind-like simple subject. To the contrary, Mādhyamika Buddhist philosophers like Śrīgupta (seventh–eighth century) argue that any kind of mental simple is incoherent and thus metaphysically impossible. Lacking any unifying principle, the phenomenal unity of conscious experience is instead an unfounded illusion. In this paper, I present an analysis of Śrīgupta’s "neither-one-nor-many argument" against mental simples and show how his line of reasoning (...) is driven by a set of implicit questions concerning the nature of and relation between consciousness and its intentional object. These questions not only set the agenda for centuries of intra-Buddhist debate on the topic, but they are also questions to which any defender of unified consciousness or a simple subject of experience arguably owes responses. (shrink)

This article argues that the Fourth and Fifth of John Toland's Letters to Serena are best understood as a creative confrontation of Spinoza and Leibniz ? one in which crucial aspects of Leibniz's thought are extracted from their original context and made to serve a purpose that is ultimately Spinozistic. Accordingly, it suggests that the critique of Spinoza that takes up so much of the fourth Letter, in particular, should be read as a means of `perfecting' Spinoza (via Leibniz), rather (...) than as the outright dismissal it might appear to be. In order to make its case, the article outlines: the supposed problems that Toland finds in Spinoza; what Toland takes from Leibniz, and what he discards, in order to solve these `problems'; and the imprint of Spinoza's naturalism on the eventual `solution' that Toland offers. The article concludes that, whatever the success of this `solution', Toland's speculative labours should still be treated as creative, perspicuous and intrinsically significant. (shrink)

We shall use Gödel’s Second Incompleteness Theorem to show that consistency is not possibility, and then argue that the argument does serious damage to some theories of modality where consistency plays a major but not exclusive role.

This compelling reevaluation of the relationship between logic and knowledge affirms the key role that the notion of judgement must play in such a review. The commentary repatriates the concept of judgement in the discussion, banished in recent times by the logical positivism of Wittgenstein, Hilbert and Schlick, and the Platonism of Bolzano. The volume commences with the insights of Swedish philosopher Per Martin-Löf, the father of constructive type theory, for whom logic is a demonstrative science in which judgement is (...) a settled feature of the landscape. His paper opens the first of four sections that examine, in turn, historical philosophical assessments of judgement and reason; their place in early modern philosophy; the notion of judgement and logical theory in Wolff, Kant and Neo-Kantians like Windelband; their development in the Husserlian phenomenological paradigm; and the work of Bolzano, Russell and Frege. The papers, whose authors include Per Martin-Löf, Göran Sundholm, Michael Della Rocca and Robin Rollinger, represent a finely judged editorial selection highlighting work on philosophers exercised by the question of whether or not an epistemic notion of judgement has a role to play in logic. The volume will be of profound interest to students and academicians for its application of historical developments in philosophy to the solution of vexatious contemporary issues in the foundation of logic. ​. (shrink)

Ranging from Alan Turing’s seminal 1936 paper to the latest work on Kolmogorov complexity and linear logic, this comprehensive new work clarifies the relationship between computability on the one hand and constructivity on the other. The authors argue that even though constructivists have largely shed Brouwer’s solipsistic attitude to logic, there remain points of disagreement to this day. Focusing on the growing pains computability experienced as it was forced to address the demands of rapidly expanding applications, the content maps the (...) developments following Turing’s ground-breaking linkage of computation and the machine, the resulting birth of complexity theory, the innovations of Kolmogorov complexity and resolving the dissonances between proof theoretical semantics and canonical proof feasibility. Finally, it explores one of the most fundamental questions concerning the interface between constructivity and computability: whether the theory of recursive functions is needed for a rigorous development of constructive mathematics. This volume contributes to the unity of science by overcoming disunities rather than offering an overarching framework. It posits that computability’s adoption of a classical, ontological point of view kept these imperatives separated. In studying the relationship between the two, it is a vital step forward in overcoming the disagreements and misunderstandings which stand in the way of a unifying view of logic. (shrink)

By the middle of the seventeenth century we that find that algebra is able to offer proofs in its own right. That is, by that time algebraic argument had achieved the status of proof. How did this transformation come about?

ABSTRACTLate Enlightenment German materialism has hardly attracted any scholarly attention in the past, in spite of the fact that there were quite a few exponents of it. In this paper, I identify the philosophically most important ones and examine to what extent they were connected with each other. In fact, there are local concentrations of materialists at universities and academic circles in Göttingen, Halle, and Gießen. I then discuss the spectrum of materialist positions held by them, from empiricist naturalism in (...) the case of Michael Hißmann to emergentism and Spinozism in the case of Karl von Knoblauch. Finally, I examine how German materialists conceived of the nature of soul and its immortality. It turns out that most of them were mortalists, with the exception of August Wilhelm Hupel, and some of them also endorsed Socinianism. (shrink)

In this paper I argue that inconsistencies in scientific theories may arise from the type of causality relation they—tacitly or explicitly—embody. All these seemingly different causality relations can be subsumed under a general strategy developed to defeat the paradoxes which inevitably occur in our experience of the real. With respect to this, scientific theories are just a subclass of the larger class of metaphysical theories, construed as theories that attempt to explain a (part of) the world consistently. All metaphysical theories (...) share a common structural backbone specificially designed to defeat paradoxes, their often wildly diverging ontological claims notwithstanding. This common structure shapes the procedures which govern the invention of ideas in the context of such theories, by codifying some onto-logical a priori assumptions regarding the consistency of reality into its bare conceptual framework. Causality plays a key rôle here, because it implies conservation of identity, itself a far from simple notion. It imposes strong demands on the universalising power of the theories concerned. These demands are often met by the introduction of a metalevel which encompasses the notions of ‘system’ and ‘lawful behaviour’. In classical mechanics, the division between universal and particular leaves its traces in the separate treatment of cinematics and dynamics. The fundamental backbone’s specific gestalt thus functions as a theory’s individual signature and paves the way to a comparative historical approach towards their study. An important part of my paper therefore explores the strong connections between paradoxes as they appear and are dealt with in ancient philosophy and their re-appearance in early modern natural philosophy and science. This analysis is applied to the mechanical theories of Newton and Leibniz, with some surprising results. (shrink)

Contrary to the prevailing scholarly view, this article claims that the example of the first modern author to extensively discuss the art of exoteric-esoteric writing provides decisive evidence that writing on more than one layer was not a device all modern authors had recourse to solely in order to avoid political, social, or religious persecution. By means of an analysis of the genealogy of the thought of this author, John Toland, the article shows that an ulterior reason for practicing the (...) art of careful writing may be found in an attempt to avoid both classical superstition and public atheism. And by way of a discussion of the key concept Toland employed in order to make such an attempt successful, the concept of ‘pantheism,’ the article concludes that the relationship between faith and reason in modern times is not as straightforward and uncomplicated as it usually appears. (shrink)

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 (...) the input/output notion, intellectual concepts are innate for Kant no less than for Leibniz. (shrink)

Leibniz had a well-known argument against the existence of infinite wholes that is based on the part-whole axiom: the whole is greater than the part. The refutation of this argument by Russell and others is equally well known. In this note, I argue (against positions recently defended by Arthur, Breger, and Brown) for the following three claims: (1) Leibniz himself had all the means to devise and accept this refutation; (2) This refutation does not presuppose the consistency of Cantorian set (...) theory; (3) This refutation does not cast doubt on the part-whole axiom. Hence, should there be an obstacle to Gödel's wish to integrate Cantorian set theory within Leibniz' philosophy, it will not be this famous argument of Leibniz'. (shrink)

The article is a translator’s commentary to the Ukrainian translation of E. Husserl’s Cartesian Meditations. The task of this article is twofold: On the one hand, to reveal the historical context of the writing and publishing of Cartesian Meditations, on the other hand, to outline the strategic and terminological aspects of the Ukrainian translation of this work. The first part of the article is devoted to the history of creation of the text of Cartesian Meditations. In particular, the author answers (...) the question of why the German text of Cartesian Meditations was not published until 1950, almost twenty years after the French translation of the book was released. The historico-philosophical investigation conducted in the article shows that Husserl considered the publication of Cartesian Meditations as an opportunity to systematically present his phenomenological philosophy and, eventually, recognized the impossibility of embracing the complexity of his doctrine within this work. The difficulty of this systematic presentation led to the enhancement of the role of Husserl’s assistant, Eigen Fink, in the editing of Cartesian Meditations and, ultimately, to the creation of Fink’s Sixth Meditation. The latter, as the author of the article demonstrates, puts previous developments in the phenomenology of static and genetic types into a new theoretical perspective, mainly by introducing the method of constructive phenomenology. In the second part of the article, the author offers one of the possible strategies for translating Husserlian texts that consists in structural simplification and stylistic improvement of the text. This strategy is proposed to be implemented by using simpler grammatical structures, by supplementing the text with translator’s comments, as well as by consistent usage of the Ukrainian phenomenological terminology. During the analysis of the terminological discourse of contemporary Ukrainian phenomenology, the author revises some of the established Ukrainian translations, such as the translation of the phenomenological terms Ausschaltung and Zeitbewusstsein and introduces the translation of new terms, such as Vergemeinschaftung, Person, reell and ideell. (shrink)

This target article presents a new computational theory of explanatory coherence that applies to the acceptance and rejection of scientific hypotheses as well as to reasoning in everyday life, The theory consists of seven principles that establish relations of local coherence between a hypothesis and other propositions. A hypothesis coheres with propositions that it explains, or that explain it, or that participate with it in explaining other propositions, or that offer analogous explanations. Propositions are incoherent with each other if they (...) are contradictory, Propositions that describe the results of observation have a degree of acceptability on their own. An explanatory hypothesis is acccpted if it coheres better overall than its competitors. The power of the seven principles is shown by their implementation in a connectionist program called ECHO, which treats hypothesis evaluation as a constraint satisfaction problem. Inputs about the explanatory relations are used to create a network of units representing propositions, while coherende and incoherence relations are encoded by excitatory and inbihitory links. ECHO provides an algorithm for smoothly integrating theory evaluation based on considerations of explanatory breadth, simplicity, and analogy. It has been applied to such important scientific cases as Lovoisier's argument for oxygen against the phlogiston theory and Darwin's argument for evolution against creationism, and also to cases of legal reasoning. The theory of explanatory coherence has implications for artificial intelligence, psychology, and philosophy. (shrink)

: I argue that a response‐dependence account of a concept can yield metaphysical results, and not merely epistemological or semantical results, which has been a prevalent view in the literature on response‐dependence. In particular, I show how one can argue for a conferralist account of a certain property by arguing that the concept of the property is response‐dependent, if certain assumptions are made.

In philosophical circles, Electress Sophie of Hanover (1630-1714) is known mainly as the friend, patron, and correspondent of Leibniz. While many scholars acknowledge Sophie's interest in philosophy, some also claim that Sophie dabbled in philosophy herself, but did not do so either seriously or competently. In this paper I show that such a view is incorrect, and that Sophie did make interesting philosophical contributions of her own, principally concerning the nature of mind and thought.

Leibniz’s claim that this is the best of all possible worlds has been subject to numerous criticisms, both from his contemporaries and ours. In this paper I investigate a cluster of such criticisms based on the existence, abundance or character of worldly evil. As several Leibniz-inspired versions of optimism have been advanced in recent years, the aim of my investigation is to assess not just how Leibniz’s brand of optimism fares against these criticisms, but also whether optimism as a philosophy (...) has the resources to meet these challenges. I show that none of the criticisms considered has sufficient force to pose a threat to Leibniz’s version of optimism or to one modelled on it. (shrink)

Leibniz’s claim that this is the best of all possible worlds has been subject to numerous criticisms, both from his contemporaries and ours. In this paper I investigate a cluster of such criticisms based on the existence, abundance or character of worldly evil. As several Leibniz-inspired versions of optimism have been advanced in recent years, the aim of my investigation is to assess not just how Leibniz’s brand of optimism fares against these criticisms, but also whether optimism as a philosophy (...) has the resources to meet these challenges. I show that none of the criticisms considered has sufficient force to pose a threat to Leibniz’s version of optimism or to one modelled on it. (shrink)

This paper examines the origin, range and meaning of the Principle of Action and Reaction in Kant’s mechanics. On the received view, it is a version of Newton’s Third Law. I argue that Kant meant his principle as foundation for a Leibnizian mechanics. To find a ‘Newtonian’ law of action and reaction, we must look to Kant’s ‘dynamics,’ or theory of matter. I begin, in part I, by noting marked differences between Newton’s and Kant’s laws of action and reaction. I (...) argue that these are explainable by Kant’s allegiance to a Leibnizian mechanics. I show (in part II) that Leibniz too had a model of action and reaction, at odds with Newton’s. Then I reconstruct how Jakob Hermann and Christian Wolff received Leibniz’s model. I present (in Part III) Kant’s early law of action and reaction for mechanics. I show that he devised it so as to solve extant problems in the Hermann-Wolff account. I reconstruct Kant’s views on ‘mechanical’ action and reaction in the 1780s, and highlight strong continuities with his earlier, pre-Critical stance. I use these continuities, and Kant’s earlier engagement with post-Leibnizians, to explain the un-Newtonian features of his law of action and reaction. (shrink)

ABSTRACT Two models of the Aristotelian syllogistic in arithmetic of natural numbers are built as realizations of an old Leibniz idea. In the interpretation, called Scholastic, terms are replaced by integers greater than 1, and s.Ap is translated as “s is a divisor of p”, sIp as “g.c.d. > 1”. In the interpretation, called Leibnizian, terms are replaced by proper divisors of a special “Universe number” u < 1, and sAp is translated as “s is divisible by p”, sIp as (...) ‘l.c.m. < u”. Both interpretations are proved to be adequate to the Aristotelian syllogistic. They are extended to syllogistic including term negation and term conjunction as well. (shrink)

Many today agree that philosophy, as an academic discipline, must, for the sake of its very survival, become more inclusive of a wider range of perspectives, coming from a more diverse pool of philosophers. Yet there has been little serious reflection on how our very idea of what philosophy is might be preventing this change from taking place. In this essay I would like to consider the ways in which our ideas about philosophy's relation to tradition, and its relation to (...) other dimensions of human culture, influence efforts to promote greater diversity in the field. (shrink)

In a 1669 letter to his mentor Thomasius, Leibniz writes that "hardly any of the Cartesians have added anything to the discoveries of their master" insofar as they "have published only paraphrases of their leader."1 The book that is the focus of my remarks here—Roger Ariew's Descartes and the First Cartesians —shows that Leibniz was most certainly incorrect. In particular, Ariew draws attention to the fact that there was a concerted effort to present a new sort of Cartesianism that conforms (...) to the structure of the early modern French scholastic curriculum. Though this effort was inspired by Descartes's own attempt to present his views in this manner, the later "Cartesian scholasticism"... (shrink)

No presente artigo, pretendemos oferecer uma análise da explication nominal de Leibniz do que é “ser uma substância individual” oferecida em Discurso de Metafísica §8, assim como uma concernindo o entendimento leibniziano do que sejam definições nominais em geral. O presente artigo será dividido em quatro partes: Em primeiro lugar, tentaremos argumentar contra uma interpretação tradicional e bem-estabelecida, embora não completamente incontroversa, da explication de Leibniz em Discurso de Metafísica §8. Em segundo lugar, tentaremos abordar o entendimento geral de Leibniz (...) de uma definição nominal, ao passo que argumentamos a favor da implicação mútua entre as duas definições disponíveis no corpus leibnitianum. Em terceiro lugar, pretendemos apresentar uma interpretação alternativa positiva da explication de Leibniz. Finalmente, tentaremos lidar com um aparente problema de tal interpretação concernindo ao comprometimento existencial presente na mesma por meio de uma análise do uso estrito por parte de Leibniz do termo “substância”. (shrink)

Leibniz, como muchos de sus contemporáneos, establece algunas conexiones conceptuales entre la noción de espacio y la noción de tiempo. Al ser el concepto de tiempo mucho menos explorado por Leibniz que el concepto del espacio, esta analogía nos puede abrir algunos caminos de interpretación valiosos. Sin embargo, es importante hacer un análisis detallado sobre los límites de la analogía y las notas características que se pueden extrapolar entre estos dos términos, pues no existe entre ellos un paralelismo estricto. El (...) objetivo del presente artículo es señalar algunas notas esenciales del concepto leibniziano de tiempo a partir de su teoría del espacio. Para ello, se definirán las extrapolaciones válidas e inválidas entre estas dos nociones. Con ello se delineará una noción clara de tiempo, se mostrarán las posibles incongruencias que muestra este concepto respecto al sistema leibniziano y, finalmente, se ofrecerán algunas posibles vías de solución a estas inconsistencias. (shrink)