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 (...) should always consider them within the true sentences in which they occur. In the second part, I describe this approach in detail. This allows us to look at some key concepts of Leibniz's theory of quantity. In particular, I raise the problem of the relationship between the two sides of the abstraction principle: how should we think of the relation between the claim that a and b are equal, and the claim that the quantity of a is identical to the quantity of b? I argue that we can find a positive answer to this problem in Leibniz. (shrink)

Pese a que el concepto de _expresión_ es uno de los conceptos más centrales en la filosofía de Leibniz, el tratamiento que ha recibido mayoritariamente dentro de la literatura especializada sigue siendo escaso, parcializado e insuficiente. Es parcializado, puesto que se lo suele interpretar bien en calve _solo _metafísica, dejando sin demarcar el tipo particular de la relación expresiva; o bien desde el _mero_ análisis de la relación expresiva como isomórfica, dejando sin atender su contenido metafísico. No solo suelen dejarse (...) ambas tendencias recíprocamente fuera de consideración, sino que ninguna de las dos suele atender a un aspecto fundamental de la expresión: el cuerpo propio de la mónada como _lugar_ para su punto de vista expresivo. El presente trabajo ofrece una reconstrucción del concepto de expresión que reconcilia ambas clases de interpretación, atendiendo, a la vez, a la exigencia del cuerpo para la acción expresiva. (shrink)

La técnica artística de la perspectiva es el lugar del nacimiento de una idea cuyo potencial trascendió la esfera del arte: el punto de vista. En efecto, la idea de la construcción del plano visual a partir de un punto de vista determinado ocasiona la transformación del estatuto del objeto en el plano representativo, donde pasa de tener el carácter de la presencia o presentación, al de la construcción o re-presentación. No en vano la época cultural donde se produce el (...) surgimiento de la técnica pictórica de la perspectiva es la misma donde surge la idea del individuo como nuevo centro metafísico. El presente artículo persigue este doble surgimiento centrándose en los siguientes aspectos: una presentación técnica de la herramienta artística de la perspectiva; el ámbito cultural que favoreció la intersección entre perspectiva artística y metafísica, especialmente N. de Cusa; y la idea metafísica de la perspectiva en los escritos de G. W. Leibniz. La última parte del artículo plantea las dificultades y fortalezas que ocasiona la consideración de la mónada como punto de vista para una teoría de la sustancia y sus necesarias relaciones con los conceptos de expresión y armonía preestablecida. (shrink)

Leibniz afirma que el pensamiento humano se encuentra inevitablemente mediado por signos. Al mismo tiempo, considera que no tenemos acceso a las cosas sino por medio de las ideas y no tenemos acceso a las ideas sino por medio de los signos. De modo que sólo contamos con signos, algunos de ellos verdaderos, algunos falsos. Distinguir unos de otros constituye entonces la clave para alcanzar el conocimiento. El presente trabajo abordará la problemática del conocimiento “ciego” en Leibniz evaluando los recursos (...) a los que apela el filósofo con el fin de garantizar el conocimiento. (shrink)

In this article, I defend the thesis that Leibniz’s rational substances always have higher-order perceptions, even when they are, say, in a dreamless sleep. I argue that without this assumption, Leibniz’s conception of reflection would introduce discontinuities into his philosophy of mind which (given his Principle of Continuity) he cannot allow. This interpretation does not imply, however, that rational beings must be aware of these higher-order states at all times. In fact, these states are often unconscious or ‘small’ (analogous to (...) Leibniz’s famous petites perceptions) and only count as reflections when they become distinct or heightened enough. Reflections thus arise out of ‘petites réflexions’ just as conscious perceptions arise out of petites perceptions. I argue, furthermore, that an analysis of some aspects of Leibniz’s theory of memory shows that he is not only committed to the thesis that rational beings always have higher-order states but that he also accepts it. I conclude by considering whether my interpretation is at odds with Leibniz’s doctrine of transcreation and also whether it has any consequences for which theory of consciousness we should ascribe to Leibniz. (shrink)

The disciplinary differentiation of sciences attracted Leibniz’s attention for a long period of time. From nowadays prospects it looks very well grounded as soon as in Leibniz’s manuscripts a modern scholar finds clue ideas of any research field which would tempt him to consider Leibniz as one of the founders of this particular discipline. We argue that this is possible only in retrospection and would significantly distort the essence of Leibniz’s epistemology. Our approach implies, in contrary, the investigation of the (...) Leibniz doctrine of signs on the background of the related philosophical problem, that of expression. The choice of semiotics is justified by the fact that it took a central place in his theoretical constructions, both those of natural sciences and of philosophy. In Leibniz system of knowledge the concept of notes (notae) and sings (signa) served a theoretical foundation of his most important and long-life aspiration to build up practical science of universal characteristics (characteristica universalis). In his eyes this practical science was the science of sciences (Scientia scientiarum), and we can consider it as the matrix for all possible scientific knowledge. (shrink)

The main aim of this paper is to show that we can extract an elaborate account of phe- nomenal consciousness from Leibniz’s (1646-1716) writings. Against a prevalent view, which attributes a higher-order reflection account of phenomenal consciousness to Leibniz, it is argued that we should understand Leibniz as holding a first-order concep- tion of it. In this conception, the consciousness aspect of phenomenal consciousness is explained in terms of a specific type of attention. This type of attention, in turn, is (...) accounted for in terms of cognitive appetites aiming at knowledge about a repre- sented object by means of initiating cognitive operations on representational content. Furthermore, against the view that Leibniz holds a reifying account, it is argued that Leibniz accepts an epistemic account of phenomenal character. According to this view, the phenomenal character of phenomenally conscious states rests on the con- fusing effect of imperfect acts of attention directed towards representational contents. Holding this view, Leibniz finds fruitful middle ground between contemporary stan- dard positions like higher-order theories, representationalist conceptions, and qualia accounts of phenomenal consciousness. His position possesses resources to meet sev- eral objections these standard accounts are confronted with. (shrink)

This article is about the exchanges between Leibniz, Arnauld, Bayle and Lamy on the subject of pain. The inability of Leibniz’s system to account for the phenomenon of pain is a recurring objection of Leibniz’s seventeenth-century Cartesian readers to his hypothesis of pre-established harmony: according to them, the spontaneity of the soul and its representative nature cannot account for the affective component of pain. Strikingly enough, this problem has almost never been addressed in Leibniz studies, or only incidentally, through the (...) more general problem of evil. My purpose in this article is to clarify Leibniz’s psychophysical parallelism by opposing his representationist account of pain to the functionalist account endorsed by Arnauld, Bayle, Lamy and Malebranche. (shrink)

Through the reconstruction of Leibniz's theory of the degrees of knowledge, this e-book investigates and explores the intrinsic relationship of imagination with space and time. The inquiry into this relationship defines the logic of imagination that characterizes both human and non-human animals, albeit differently, making them two different species of imaginative animals. -/- Lucia Oliveri explains how the emergence of language in human animals goes hand in hand with the emergence of thought and a different form of rationality constituted by (...) logical inferences based on identity and contradiction, principles that are out of reach of the imagination. The e-book concludes that the presence of innate principles in human animals transforms the way in which they sense-perceive the world, thereby constantly increasing the distinction between human and non-human animals. -/- Keywords: human and non-human animals, Leibniz and Locke on ideas, Leibniz on bodies, Leibniz on conceivability, Leibniz on degrees of knowledge, Leibniz on degrees of perception, Leibniz on innate ideas, Leibniz on modality, Leibniz on similarity and congruence, Leibniz on space and time, Leibniz’s philosophy of language, theory of types. (shrink)

Reasoning with diagrams is considered to be a peculiar form of reasoning. Diagrams are often associated with imagistic representations conveyed by spatial arrangements of lines, points, figures, or letters that can be manipulated to obtain knowledge on a subject matter. Reasoning with diagrams is not just ‘peculiar’ because reasoners use spatially arranged characters to obtain knowledge – diagrams apparently have cognitive surplus: they enable a quasi-intuitive form of knowledge. The present paper analyses the issue of diagrams’ cognitive value by enquiring (...) into the tradition of symbolic cognition developed by Leibniz, Lambert, and Kant. The proposal resulting from this enquiry is to question the idea that the cognitive value of diagrams lies solely in allowing evidence for inferences. The imaginative dimension of diagrams connects reasoning to doxastic attitudes of meditation and enquiry. (shrink)

Este estudo apresenta a visão leibniziana sobre a percepção e sua fundamental relação com a matéria. Segundo Leibniz, a matéria, apesar de seu aspecto sólido, extenso e imóvel é, a representação mental das percepções. A razão suficienteestabeleceu como a impressão, reflexão e o desenvolvimento do ser humano como causa final à matéria, portanto, apesar de sermos condicionados racionalmente a acreditar em nosso conceito de matéria, esta é uma representação de percepções mentais.

Holography is a fruitful concept in modern physics. However, there is no generally accepted definition of the term, and its significance, especially as a guiding principle in quantum gravity, is rather uncertain. The present paper critically evaluates variants of the holographic principle from two perspectives: their relevance in contemporary approaches to quantum gravity and in closely related areas; their historical forerunners in the early twentieth century and the role played by past and present concepts of holography in attempts to unify (...) physics. By combining these two perspectives a certain depth of focus is gained which allows us to draw some tentative conclusions about what might be reasonable aspirations and prospects for holography in quantum gravity. By the same token, we will have a brief and critical look at wider philosophical interpretations of the term. (shrink)

Descartes y Leibniz figuran como pensadores opuestos en el ámbito de la filosofía moderna. Tras un período de influencia inicial, el pensador alemán habría sido un crítico severo de las tesis filosóficas del filósofo francés. Sin embargo, una lectura cuidadosa de las dispersas declaraciones leibnizianas a propósito de los afectos y su dimensión moral nos permitirán hacernos cargo de la distancia y cercanía entre el pensamiento de ambos. Para Descartes la felicidad está ligada a la voluntad, mientras que Leibniz será (...) más fiel a la tradición intelectualista aristotélica, aunque su concepción de las emociones es, en muchos sentidos, asombrosamente similar. (shrink)

This article discusses Leibniz’s claim that every substance is endowed with the property of perception in connection with Platonism, rationalism and the problem of substance monism. It is argued that Leibniz’s ascription of perception to every substance relies on his Platonic conception of finite things as imitations of God, in whom there is ‘infinite perception’. Leibniz’s Platonism, however, goes beyond the notion of imitation, including also the emanative causal relation and the logical (i.e. definitional) priority of the absolute over the (...) limited. It is proposed that Leibniz’s endorsement of Platonism, in conjunction with some rationalist elements of his philosophy, implies a monistic conception of particulars as modifications of a single substance. Following some scholars and opposing others, the article offers evidence that Leibniz accepted this implication during the last years of his Paris period. However, it is further argued that it was precisely the idea of perception as a property of every substance that allowed Leibniz to find a way out of monism after that period. More specifically, the article defends the view that what made room for ontological pluralism within Leibniz’s rationalist and Platonic outlook was the idea that perception is the property which constitutes the very being of substances: substances are their perceptions. (shrink)

I would like warmly to thank Massimo Mugnai. The care that he put into read ing my book, his suggestions, his clarifications, and even his criticisms are a great encouragement to me.

Leibniz believed the ‘true concept of substance’ is found in ‘the concept of forces or powers’. Accordingly, he conceived monadic substances as metaphysically primitive forces whose modifications manifest both as monads’ appetitions and perceptions and as derivative forces in monads’ organic bodies. Relationships between substances, and in particular the ethical relationships that hold between rational substances, are also foregrounded by Leibniz’s concept of substances as forces. In section one, we discuss the derivative forces of bodies. In section two, we consider (...) monads’ perceptions and appetitions. Section three attends to ethical aspects of Leibniz’s account, focusing in particular on souls’ representative natures and the correspondence that obtains between perceptions in one and perceptions in all others. In section four, however, I argue that Leibniz’s commitment to the doctrine of the conservation of force makes it impossible for any one substance to pursue its own advantage by increasing its active force without there being a correlative disadvantageous decrease in the active force of substances elsewhere in the universe. While the reconciliatory proposals offered do not entirely remove the tension between Leibniz’s ethics and his physics, they do soften its severity and allow it to be regarded in a more positive light. (shrink)

According to the phenomenal intentionality research program, a state’s intentional content is fixed by its phenomenal character. Defenders of this view have little to say about just how this grounding is accomplished. I argue that without a robust account of representation, the research program promises too little. Unfortunately, most of the well-developed accounts of representation – asymmetric dependence, teleosemantics, and the like – ground representation in external relations such as causation. Such accounts are inconsistent with the core of the phenomenal (...) intentionality program. I argue that, however counter-intuitive it may seem, the best prospect for explaining how phenomenal character represents appeals to resemblance. (shrink)

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 (...) sidelining the aspect of Leibniz’s ideas that anticipates the specificity of the new epoch of writing he claims to historicise. The article goes on to argue that to grasp this specificity one must look beyond the “expressivist” schema of exterior representation, which Derrida draws from Husserl’s theory of meaning, and instead look to Leibniz’s own formal-combinatorial concept of expression, which exceeds Derrida’s critical framework. (shrink)

This article is about Gilles Deleuze's book Le Pli. Leibniz et le Baroque from 1988. It shows how Deleuze's notion of folding captures some basic intuitions in Leibniz and how they relate to each other. To this purpose, I propose five figures, all referring to the same basic fold, all illustrating how the consideration of such figures allows developing central elements of Leibniz's monadology. These figures can help, I hope, alleviate some of the fundamental difficulties in understanding Deleuze's approach to (...) the Monadology from the non-Deleuzian perspective of contemporary Leibniz scholarship and give a sense of the synthetic, explanatory force that Deleuze's notion of folding has in relation to Leibniz's monadological metaphysics. (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 discuss an objection by Margaret Wilson against Robert Brandom’s interpretation of Leibniz’s account of perceptual distinctness. According to Brandom, Leibniz holds that (i) the relative distinctness of a perception is a function of its inferentially articulated content and (ii) apperception, or awareness, is explicable in terms of degrees of perceptual distinctness. Wilson alleges that Brandom confuses ‘external deducibility’ from a perceptual state of a monad to the existence of properties in the world, with ‘internally accessible content’ for the monad (...) in that state. Drawing on Leibniz, I develop a response to Wilson on Brandom’s behalf. (shrink)

This paper is concerned with the status of mathematical fictions in Leibniz’s work and especially with infinitary quantities as fictions. Thus, it is maintained that mathematical fictions constitute a kind of symbolic notion that implies various degrees of impossibility. With this framework, different kinds of notions of possibility and impossibility are proposed, reviewing the usual interpretation of both modal concepts, which appeals to the consistency property. Thus, three concepts of the possibility/impossibility pair are distinguished; they give rise, in turn, to (...) three concepts of mathematical fictions. Moreover, such a distinction is the base for the claim that infinitesimal quantities, as mathematical fictions, do not imply an absolute impossibility, resulting from self-contradiction, but a relative impossibility, founded on irrepresentability and on the fact that it does not conform to architectural principles. In conclusion, this “soft” impossibility of infinitesimals yields them, in Leibniz view, a presumptive or “conjectural” status. (shrink)

The Molyneux problem is one of the major questions addressed by early modern authors. Whereas Locke’s response to Molyneux’s question has been the subject of extensive scholarly discussion, Leibniz’s response has received comparatively little attention. This paper defends an interpretation of Leibniz’s nuanced response to the problem and criticizes a competing interpretation that has recently been proposed.

Leibniz frequently uses the notion of expression, but it is not easy to see just how he understood that relation. This paper focuses on the particular case of the expression of God, which is prominent in the 'Discourse on Metaphysics'. The treatment of expression there suggests several questions. Which substances did Leibniz believe expressed God? Why did Leibniz believe those substances expressed God? And did he believe that all substances expressed God in the same way and for the same reasons? (...) In answering those questions the paper distinguishes two views about expression in the 'Discourse', considers Leibniz's reasons for holding that substances express their causes, and argues that Leibniz's views about emanative causation are important for understanding the unity of his apparently distinct views here. The paper concludes by looking briefly at how the 'Discourse' fits into the evolution of Leibniz's views on this issue over time. (shrink)

I argue that Leibniz’s doctrine of sensory representation is intended in part to close an explanatory gap in his philosophical system. Unlike the twentieth century explanatory gap, which stretches between neural states on one side and phenomenal character on the other, Leibniz’s gap lies between experiences of secondary qualities like color and taste and the objects that cause them. The problem is that the precise arrangement and distribution of such experiences can never be given a full explanation. In response, Leibniz (...) appeals to representation. I argue that the sense in which Leibnizian sensations are representations is too weak to close his explanatory gap. In the end, he must appeal to the doctrine of the best possible world. (shrink)

This thesis argues for the significance of G.W Leibniz’s concepts of ‘expression’, ‘force’ and ‘perspective’ to the writings of Walter Benjamin and Gilles Deleuze. By triangulating the philosophical projects of Benjamin, Deleuze and Leibniz, as has not yet been done, the thesis opens up new perspectives and provides new readings of all three. Designating a structure of relations in which every simple substance or monad serves as a ‘living mirror’ of the universe, Leibniz’s concept of ‘expression’ denotes virtual inclusion or (...) immanence. His concept of ‘force’ denotes the self-incurred drive that motivates the monad to action, while his ‘perspectivism’ defines the monads individuality through their infinite points of view on the world. Deleuze and Benjamin, I suggest, appropriate Leibniz’s concepts as part of their respective critiques of epistemology, which target Kant’s conception of experience as a hierarchic relation of representation, allowing them to redefine experience as non-hierarchal, de-centred and embodied. At the same time, for both, Leibniz’s philosophy serves to criticize historicist views of chronological time. Leibniz’s perspectivism is reformulated by Deleuze and Benjamin as part of their respective critical theories of the image, culminating in their later formulations of the ‘dialectical’ and ‘crystal’ image, respectively. The conclusion however, highlights the diverging paths formed by their returns to Leibniz. Benjamin develops a politically effective ‘historical perspectivism’ in which the discontinuity of history enables ‘true historical time’ to replace chronological time. Deleuze, on the other hand, opts for an ahistorical pure form of temporality, his ‘mannerist perspectivism’ describing a continuous, perpetually repeated ‘becoming’. (shrink)

The concept of expression has always held an important place in Fernando Gil’s thought. The author’s reflection on the idea of expression is well reflected among his writings – either in his early essays or throughout his entire work –, attaining a special focus in the lectures that he gave at Johns Hopkins University during the years of 2002, 2003 and 2004. Actually, these lectures represent the strongest testimony of the relevancy given by Fernando Gil to this concept. However, despite (...) being a concept which crosses all his work, clearly having a central place in his thought, Fernando Gil never got to write a systematic theory on the concept of expression. Thus, closely following the author’s works, the main purpose of this study is to suggest a personal vision of what could have been Fernando Gil’s theory on expression. Combining some of the main ideas of Johns Hopkins lectures to some fundamental notions of Fernando Gil’s thought, we will try to show that Fernando Gil’s theory on expression is a theory on the ordination of thought, on cognitive construction and, above all, a theory on the elevation of thought to what shall be considered its higher modality, the aesthetical thought. In fact, our major hypothesis is that Fernando Gil’s theory on expression is not only a cognitive theory but also an aesthetical one. As such, its major guidelines shall be: to explain the adequacy of expression to its objects; to show how expression evolves according to the cognitive development of the subject; and, finally, to explain and to justify the elevation of thought to universality, harmony and beauty. (shrink)

I argue for three main claims about Leibniz. (1) He views representation as a kind of structural correspondence between the representing thing and its target. (2) The primary sense in which he considers a perception or representation distinct, as opposed to confused, concerns the degree to which its structure is explicit or consciously accessible. (3) This is also the sense in which he takes concepts or ideas to be distinct.

Leibniz portrays the most fundamental entities in his mature ontology in at least three different ways. In some places, he describes them as mind-like, immaterial substances that perceive and strive. Elsewhere, he presents them as hylomorphic compounds. In yet other passages, he characterizes them in terms of primitive and derivative forces. Interpreters often assume that the first description is the most accurate. In contrast, I will argue that the third characterization is more accurate than the other two. If that is (...) correct, Leibniz’s monadological metaphysics is even more radical than it initially seems: his ontology is best understood not as a substance-mode ontology but as a force ontology. At the metaphysical ground floor, we do not find substances that possess force; instead, we just find forces. Interpreting Leibniz as a force ontologist has far-reaching consequences. For instance, it requires us to reconsider the status of time in Leibniz’s system and to revise our understanding of appetitions and perceptions. (shrink)

The account of vagueness Bertrand Russell provided in his 1923 paper, entitled simply “Vagueness” (see Russell [1923]1997), has been thought by some to be inconsistent. One main objection, raised by Timothy Williamson (1994), is that Russell’s attempt early in the paper to distinguish vagueness from generality is at odds with the definition of vagueness he presents later in the same paper. It is as if, as Williamson puts it, Russell “backslides” from his previous distinction (1994, 60), resulting in a conflation (...) of generality and vagueness that is at best problematic for a rigorous account of the phenomenon of vagueness. In this paper, I will defend Russell from this particular objection. While his 1923 paper may not be as clear at various points as one might hope, I do believe it is possible to construct a single theory of vagueness that can be applied equally well to his earlier and later discussions. Thus, Russell’s view is not ultimately inconsistent. In this paper, I will first present the interpretation of Russell’s concept of vagueness that falls prey to the charge of conflating vagueness and generality. Once the problem is clear, I will present an alternative interpretation, one that arises from certain reflections on G. W. Leibniz’s theory of perception. This Leibnizian interpretation of Russell, I will argue, resolves the apparent contradiction in Russell’s account of vagueness. (shrink)