Resumen En este trabajo evaluamos el impacto que la adopción de la relatividad del movimiento tiene en la metafísica de Leibniz. En particular argumentamos que el abandono de la comprensión absolutista del mismo anula su noción juvenil de sustancia corpórea. En primer lugar analizamos cómo entiende Leibniz las nociones de cuerpo y movimiento en el periodo juvenil y defendemos que la comprensión absolutista de este último constituye una piedra angular en su primera concepción de la sustancia corpórea. En segundo lugar (...) exponemos los argumentos leibnizianos a favor de la relatividad del movimiento durante el período parisino y mostramos su repercusión en el concepto juvenil de sustancia corpórea.In this paper we evaluate the impact of Leibniz's defense of relativity of motion on his metaphysics. We argue that the abandonment of the absolutist position makes void his first notion of corporeal substance. First, we analyze Leibniz's conception of body and movement in his youth and explain how the assumption of absolute motion during these years plays a role in his notion of corporeal substance. Second, we examine his arguments in favor of relativity of motion during the Parisian period and show the repercussion on his first conception of the corporeal substance. (shrink)

The concept of teleonomy has been attracting renewed attention recently. This is based on the idea that teleonomy provides a useful conceptual replacement for teleology, and even that it constitutes an indispensable resource for thinking biologically about purposes. However, both these claims are open to question. We review the history of teleological thinking from Greek antiquity to the modern period to illuminate the tensions and ambiguities that emerged when forms of teleological reasoning interacted with major developments in biological thought. This (...) sets the stage for an examination of Pittendrigh’s (Adaptation, natural selection, and behavior. In: Roe A, Simpson GG (eds) Behavior and evolution. Yale University Press, New Haven, pp 390–416, 1958) introduction of “teleonomy” and its early uptake in the work of prominent biologists. We then explore why teleonomy subsequently foundered and consider whether the term may yet have significance for discussions of goal-directedness in evolutionary biology and philosophy of science. This involves clarifying the relationship between teleonomy and teleological explanation, as well as asking how the concept of teleonomy impinges on research at the frontiers of evolutionary theory. (shrink)

This paper aims both to tackle the technical issue of deciphering Hobbes’s derivation of the sine law of refraction and to throw some light to the broader issue of Hobbes’s mechanical philosophy. I start by recapitulating the polemics between Hobbes and Descartes concerning Descartes’ optics. I argue that, first, Hobbes’s criticisms do expose certain shortcomings of Descartes’ optics which presupposes a twofold distinction between real motion and inclination to motion, and between motion itself and determination of motion; second, Hobbes’s optical (...) theory presented in Tractatus Opticus I constitutes a more economical alternative, which eliminates the twofold distinction and only admits actual local motion, and Hobbes’s derivation of the sine law presented therein, which I call “the early model” and which was retained in Tractatus Opticus II and First Draught, is mathematically consistent and physically meaningful. These two points give Hobbes’s early optics some theoretical advantage over that of Descartes. However, an issue that has baffled commentators is that, in De Corpore Hobbes’s derivation of the sine law seems to be completely different from that presented in his earlier works, furthermore, it does not make any intuitive sense. I argue that the derivation of the sine law in De Corpore does make sense mathematically if we read it as a simplification of the early model, and Hobbes has already hinted toward it in the last proposition of Tractatus Opticus I. But now the question becomes, why does Hobbes take himself to be entitled to present this simplified, seemingly question-begging form without having presented all the previous results? My conjecture is that the switch from the early model to the late model is symptomatic of Hobbes’s changing views on the relation between physics and mathematics. (shrink)

In this paper, I examine the manner in which Descartes defends his Vortex Hypothesis in Part III of the Principles of Philosophy, and expand on Ernan McMullin’s characterization of the methodology that Descartes uses to support his planetary system. McMullin illuminates the connection between the deductive method of Part III and the method Descartes uses in earlier portions of the Principles, and he brings needed light to the role that imaginative constructions play in Descartes’s explanations of the phenomena. I develop (...) McMullin’s reading by bringing further attention to the constraints that Descartes places on the imagination in Part III. I focus in particular on the way in which Descartes uses metaphysical truths concerning God’s nature to support his general description of the planetary system, and on the way he relies on a mathematical standard of intelligibility to defend his proposals about the configuration of matter. Attending to the role of metaphysics and mathematics in Part III shows that Descartes’s arguments for the explanatory power of the Vortex Hypothesis are more effective than McMullin suggests. The reading I forward also offers important perspective on how Descartes’s hypotheses in Part III can be seen as both metaphysically and mathematically well-grounded. (shrink)

Substantivalists believe that spacetime and its parts are fundamental constituents of reality. Relationalists deny this, claiming that spacetime enjoys only a derivative existence. I begin by describing how the Galilean symmetries of Newtonian physics tell against both Newton's brand of substantivalism and the most obvious relationalist alternative. I then review the obvious substantivalist response to the problem, which is to ditch substantival space for substantival spacetime. The resulting position has many affinities with what are arguably the most natural interpretations of (...) special and general relativity. I move on to consider and reject two recent antisubstantivalist lines of thought. The interim conclusion is that the best argument for relationalism is an appeal to Ockham's razor. However, for this to be successful there must be genuine relationalist theories that share the theoretical virtues of their substantivalist rivals but without the additional ontological commitment. The bulk of the paper is therefore an investigation of various concrete relationalist proposals. I distinguish three options for the relationalist in the face of the success of Galilean invariant physics and trace how these generalise to relativistic physics. One of the options is particularly promising but, since its basic objects end up being spacetime points, this does not help the prospects of relationalism as traditionally conceived. I end with some reflections on the fate of substantivalism in the aftermath of the Hole Argument, concluding that we have as yet to be given good reasons to abandon the natural, substantivalist interpretation of current physics. (shrink)

My thesis in this paper is: the modern concept of laws of motion—qua dynamical laws—emerges in 18th-century mechanics. The driving factor for it was the need to extend mechanics beyond the centroid theories of the late-1600s. The enabling result behind it was the rise of differential equations. -/- In consequence, by the mid-1700s we see a deep shift in the form and status of laws of motion. The shift is among the critical inflection points where early modern mechanics turns into (...) classical mechanics as we know it. Previously, laws of motion had been channels for truth and reference into mechanics. By 1750, the laws lose these features. Instead, now they just assert equalities between functions; and serve just to entail (differential) equations of motion for particular mechanical setups. This creates two philosophical problems. First, it’s unclear what counts as evidence for the laws of motion in the Enlightenment. Second, it’s a mystery whether these laws retain any notion of causality. That subverts the early-modern dictum that physics is a science of causes. (shrink)

The aim of this paper is to revisit the major arguments of the seventeenth century debate concerning laws and powers. Its primary points are two. First, though the dominant conception of nature was such that there was no room for power in bodies, the very idea that laws govern the behaviour of matter in motion brought with it the following issue, which came under sharp focus in the work of Leibniz: how possibly can passive matter, devoid of power, obey laws? (...) Though Leibniz’s answer was to re-introduce powers, two radically different conceptualisations of the relation between laws and powers became available after him. Hume denied powers altogether, whereas Newton thought that to introduce a power is to introduce a law. The second main point will be that though laws were meant to replace powers, the real dilemma ended up being not laws vs powers, but rather necessity vs non-necessity in nature. To exploit, an expression used by Newton, the question was: what is the place of necessity in the frame of nature? (shrink)

In the last part of Ethics Spinoza introduces the doctrine of the intellectual love of God: God loves himself with an infinite intellectual love. This doctrine has raised one of the most discussed puzzles in Spinoza scholarship: How can God have intellectual love if, as Spinoza says, God is Nature itself? After examining existing.approaches to the puzzle and revealing their failures, I will propose a Neo- Confucian approach to the puzzle. I will compare Spinoza's philosophy with Neo-Confucian philosophy and argue (...) that we can develop a new approach to the puzzle by appealing to the comparison. I conclude that the intellectual love of God can be properly understood from different perspectives. From God's perspective it is understood as the creative power of God. From an individual's perspective it is understood as the essence of this very individual. Moreover, once we combine these two perspectives we can reach what I consider to be the correct interpretation of Spinoza' s view: Given that intuitive knowledge and action are one and the same the intellectual love of God should be comprehended not only as man's final fulfillment of freedom through intuitive knowledge, but also as man's self-cultivation in practice. I maintain that a free man, as Spinoza endeavors to become, is equivalent to a Neo-Confucian sage. (shrink)

This essay offers an interpretation of Descartes’ treatment of the concepts of place and space in the Principles of Philosophy. On the basis of that interpretation, I argue that his understanding and application of the concept of space supports a pluralist interpretation of Descartes on extended substance. I survey the Scholastic evolution of issues in the Aristotelian theory of place and clarify elements of Descartes’ appropriation and transformation thereof: the relationship between internal and external place, the precise content of the (...) claim that space and body are really identical, and the way we conceptually distinguish space from body. Descartes applies his concept of space in ways that illuminate the metaphysical structure of extension. In particular, he uses the concept to specify the degree to which finite parts of matter are independent of each other. I argue that for Descartes, conceiving extension as indivisible is an artifact of conceiving it as a space. That is, pace the monistic reading of Cartesian extended substance, regarding extension as indivisible is an artifact of conceiving it in a way more removed from its real nature. (shrink)

Descartes' philosophy contains an intriguing notion of the infinite, a concept labeled by the philosopher as indefinite. Even though Descartes clearly defined this term on several occasions in the correspondence with his contemporaries, as well as in his Principles of Philosophy, numerous problems about its meaning have arisen over the years. Most commentators reject the view that the indefinite could mean a real thing and, instead, identify it with an Aristotelian potential infinite. In the first part of this article, I (...) show why there is no numerical infinity in Cartesian mathematics, as such a concept would be inconsistent with the main fundamental attribute of numbers: to be comparable with each other. In the second part, I analyze the indefinite in the context of Descartes' mathematical physics. It is my contention that, even with no trace of infinite in his mathematics, Descartes does refer to an actual indefinite because of its application to the material world within the system of his physics. This fact underlines a discrepancy between his mathematics and physics of the infinite, but does not lead a difficulty in his mathematical physics. Thus, in Descartes' physics, the indefinite refers to an actual dimension of the world rather than to an Aristotelian mathematical potential infinity. In fact, Descartes establishes the reality and limitlessness of the extension of the cosmos and, by extension, the actual nature of his indefinite world. This indefinite has a physical dimension, even if it is not measurable. La filosofía de Descartes contiene una noción intrigante de lo infinito, un concepto nombrado por el filósofo como indefinido. Aunque en varias ocasiones Descartes definió claramente este término en su correspondencia con sus contemporáneos y en sus Principios de filosofía, han surgido muchos problemas acerca de su significado a lo largo de los años. La mayoría de comentaristas rechaza la idea de que indefinido podría significar una cosa real y, en cambio, la identifica con un infinito potencial aristotélico. En la primera parte de este artículo muestro por qué no hay infinito numérico en las matemáticas cartesianas, en la medida en que tal concepto sería inconsistente con el principal atributo fundamental de los números: ser comparables entre sí. En la segunda parte analizo lo indefinido en el contexto de la física matemática de Descartes. Mi argumento es que, aunque no hay rastro de infinito en sus matemáticas, Descartes se refiere a un indefinido real a causa de sus aplicaciones al mundo material dentro del sistema de su física. Este hecho subraya una discrepancia entre sus matemáticas y su física de lo infinito, pero no implica ninguna dificultad en su física matemática. Así pues, en la física de Descartes, lo indefinido se refiere a una dimensión real del mundo más que a una infinitud potencial matemática aristotélica. De hecho, Descartes establece la realidad e infinitud de la extensión del cosmos y, por extensión, la naturaleza real de su mundo indefinido. Esta indefinición tiene una dimensión física aunque no sea medible. (shrink)

This article addresses a debate in Descartes scholarship over the mind-dependence or -independence of time by turning to Merleau-Ponty’s "Nature" and "The Visible and the Invisible." In doing so, it shows that both sides of the debate ignore that time for Descartes is a measure of duration in general. The consequences to remembering what time is are that the future is shown to be the invisible of an intertwining of past and future, and that historicity is the invisible of God.

Cieľom článku je osvetliť niektoré historické okolnosti vzniku analytickej filozofie. Prvou z nich je zrod novovekej fyziky, ktorý viedol k rozšíreniu nového, empirického prístupu ku skutočnosti. Snažíme sa ukázať úlohu, ktorú v procese vzniku novovekej fyziky zohrala scholastická filozofia spolu s kartezianizmom. Ďalšia časť state objasňuje niektoré aspekty subjektivizmu, ktorý zohral významnú úlohu v novovekej filozofii. V jadre subjektivizmu leží podľa nášho názoru dezinterpretácia Descartovej filozofie. Prekonanie subjektivizmu analytickou filozofiou možno potom interpretovať ako návrat na miesto, na ktorom Descartes pôvodne (...) stál. (shrink)