The aim of this paper is to analyze Leibniz and Newton’s conception of space, and to point out where their agreements and disagreements lie with respect to its mode of existence. I shall offer a definite characterization of Leibniz and Newton’s conceptions of space. I will show that, according to their own concepts of substance, both Newtonian and Leibnizian spaces are not substantiva!. The reason of that consists in the fact that space is not capable of action. Moreover, there is (...) a sense in which space is relational, because their parts are individuated only by means of their mutual relations. (shrink)

This paper reexamines the historical debate between Leibniz and Newton on the nature of space. According to the traditional reading, Leibniz (in his correspondence with Clarke) produced metaphysical arguments (relying on the Principle of Sufficient Reason and the Principle of Identity of Indiscernibles) in favor of a relational account of space. Newton, according to the traditional account, refuted the metaphysical arguments with the help of an empirical argument based on the bucket experiment. The paper claims that Leibniz’s and Newton’s arguments (...) cannot be understood apart from the distinct dialectics of their respective positions vis-à-vis Descartes’ theory of space and physics. Against the traditional reading, the paper argues that Leibniz and Newton are operating within a different metaphysics and different conceptions of “place,” and that their respective arguments can largely remain intact without undermining the other philosopher’s conception of space. The paper also takes up the task of clarifying the distinction between true and absolute motion, and of explaining the relativity of motion implied by Leibniz’s account. The paper finally argues that the two philosophers have different conceptions of the relation between metaphysics and science, and that Leibniz’s attempt to base physical theory on an underlying metaphysical account of forces renders his account of physics unstable. (shrink)

The `problem of time' is a cluster of interpretational and formal issues in the foundations of general relativity relating to both the representation of time in the classical canonical formalism, and to the quantization of the theory. The purpose of this short chapter is to provide an accessible introduction to the problem.

The correspondence between Samuel Clarke and Anthony Collins of 1706–8, while not well known, is a spectacularly good debate between a dualist and a materialist over the possibility of giving a materialist account of consciousness and personal identity. This article puts the Clarke Collins Correspondence in a broader context in which it can be better appreciated, noting that it is really a debate between John Locke and Anthony Collins on one hand, and Samuel Clarke and Joseph Butler on the other. (...) Anthony Collins argues on behalf of John Locke's claim that it would be as easy for God to superadd the power of thinking to matter as for him to connect a soul to a body. Locke did not believe that matter could naturally produce thought or consciousness, but it was in God's power to make matter think. To defend Locke's claim Collins must defend the claim that there are emergent properties in the world – properties of a whole that are not possessed by the parts. Collins also defends a materialist version of Locke's account of personal identity against a variety of charges. Because the topics of debate in the correspondence are of such great interest to us, it deserves to be rescued from the neglect into which it fell and from which intellectual historians and philosophers have only recently and partially removed it. (shrink)

For centuries, philosophers of time have produced texts containing words and pictures. Although some historians study visual representations of time, I have not found any history of philosophy on pictures of time within texts. This paper argues that studying such pictures can be rewarding. I will make this case by studying pictures of time in the works of Leibniz, Arthur Eddington and C. D. Broad, and argue they play subtle roles. Further, I will argue that historians of philosophy more widely (...) could benefit from paying more attention to pictures. (shrink)

Resumen En la siguiente discusión presento algunas objeciones al artículo de Federico Raffo Quintana “La noción de ‘espacio’ en los escritos juveniles de Leibniz”.1 Contra la interpretación de Raffo, quien considera que la concepción del espacio como lugar universal de las cosas es una idea que Leibniz abandona de manera muy temprana -según el autor en 1671-, intento mostrar que esta concepción trasciende sin duda el periodo de los escritos juveniles de Leibniz y que ciertas confusiones conceptuales en la lectura (...) de Raffo hacen que, en vez de ver una armónica continuidad en la teoría del espacio de Leibniz, vea en ella una ruptura en su evolución histórica, a la que, además, asocia algunas dicotomías discutibles o espurias.In this paper I introduce objections to Federico Raffo Quintana’s paper “The Notion of ‘Space’ in the Young Leibniz Writings”. Against Raffo, who considers that the Leibnizian conception of space as the universal place of things is an idea that Leibniz early abandons -Raffo says in 1671-, I will try to show that such a conception goes beyond the Leibniz’s young writings and that it is because of some conceptual confusions in Raffo’s survey that he, instead of seeing a harmonic continuity in Leibniz’s theory of space, sees a rupture in its historical evolution, associating to it some disputable or spurious dichotomies. (shrink)

Drawing on a Leibnizian panpsychist ontology of living beings that have a body and a soul, this paper outlines a theory of space based on the perceptual and appetitive relations among these creatures’ souls. In parallel with physical space founded on relations among bodies subject to efficient causation, teleological space results from relations among souls subject to final causation and is described qualitatively in terms of creatures’ pleasure and pain, wellbeing and happiness. Particular places within this space include the kingdom (...) of grace, where morally responsible, rational beings act as far as possible in accord with the ideal of justice as universal love and wise benevolence. However, while Leibniz considered love as properly directed only towards rational beings, it is argued here that the truly wise person will direct their love and benevolence towards all living things. Ausgehend von Leibniz’ panpsychistischer Ontologie von Lebewesen, die einen Körper und eine Seele haben, skizziert dieser Beitrag eine Theorie des Raumes, der auf den perzeptuellen und appetitiven Relationen zwischen den Seelen der Geschöpfe beruht. Parallel zum physikalischen Raum, der in Relationen zwischen den effizient kausal interagierenden Körper begründet liegt, ergibt sich aus den Relationen zwischen den Seelen, die finaler Verursachung unterliegen und in qualitativen Begriffen von Freude und Schmerz wie von Wohl und Zufriedenheit beschrieben werden, ein teleologischer Raum. Besondere Regionen dieses Raumes bilden das Königreich der Gnade, wo moralisch verantwortliche, rationale Wesen so weit wie möglich in Übereinstimmung mit dem Ideal der Gerechtigkeit als universale Liebe und weise Güte handeln. Während Leibniz jedoch meinte, dass sich echte Liebe nur auf rationale Wesen richte, wird hier argumentiert, dass eine wahrhaft weise Person ihre Liebe und Güte auf alle Lebewesen beziehen wird. (shrink)

The aim of this paper is to shed light on Leibniz’s justification of the Principle of Sufficient Reason. It approaches this issue through a close textual analysis of the correspondence with Samuel Clarke and a more abstruse and lesser-known writing, ‘Leibniz’s Philosophical Dream’.

According to general relativity, we live in a four-dimensional curved universe. Since the human mind cannot visualize those four dimensions, a popular analogy compares the universe to a two-dimensional rubber sheet distorted by massive objects. This analogy is often used when teaching GR to upper secondary and undergraduate physics students. However, physicists and physics educators criticize the analogy for being inaccurate and for introducing conceptual conflicts. Addressing these criticisms, we analyze the rubber sheet analogy through systematic metaphor analysis of textbooks (...) and research literature, and present an empirical analysis of upper secondary school students’ use and understanding of the analogy. Taking a theoretical perspective of embodied cognition allows us to account for the relationship between the experiential and sensory aspects of the metaphor in relation to the abstract nature of spacetime. We employ methods of metaphor and thematic analysis to study written accounts of small groups of 97 students who worked with a collaborative online learning environment as part of their regular physics lessons in five classes in Norway. Students generated conceptual metaphors found in the literature as well as novel ones that led to different conceptions of gravity than those held by experts in the field. Even though most students showed awareness of some limitations of the analogy, we observed a conflict between students’ embodied understanding of gravity and the abstract description of GR. This conflict might add to the common perception of GR being counterintuitive. In making explicit strengths and weaknesses of the rubber sheet analogy and learners’ conceptual difficulties, our results offer guidance for teaching GR. More generally, these findings contribute to the epistemological implications of employing specific scientific metaphors in classrooms. (shrink)

Moral rationalists and sentimentalists traditionally disagree on at least two counts, namely regarding the source of moral knowledge or moral judgements and regarding the source of moral motivation. I will argue that even though Leibniz's moral epistemology is very much in line with that of mainstream moral rationalists, his account of moral motivation is better characterized as sentimentalist. Just like Hume, Leibniz denies that there is a necessary connection between knowing that something is right and the motivation to act accordingly. (...) Instead, he believes that certain affections are necessary for moral motivation. On my interpretation, then, Leibniz is an externalist about judgements and motivation: he is committed to a gap between the judgement that something is morally right and the motivation to act accordingly. As a matter of fact, I will argue that there are two gaps. The first and less controversial one has to do with the fact that Leibniz reconciles his psychological egoism with ethical altruis.. (shrink)

Leibniz's philosophy of time, often seen as a precursor to current forms of relationalism and causal theories of time, has rightly earned the admiration of his more recent counterparts in the philosophy of science. In this article, I examine Leibniz's philosophy of time from a new perspective: the role that tense and non-tensed temporal properties/relations play in it. Specifically, I argue that Leibniz's philosophy of time is best (and non-anachronistically) construed as a non-tensed theory of time, one that dispenses with (...) tensed temporal properties such as past, present, and future. In arguing for this thesis, I focus on the three facets of Leibniz's philosophy most relevant for evaluating his commitment to a B-theory of time: (1) the nature of change, (2) the reality of the future, and (3) the truth-conditions for tensed temporal statements. Despite prima facie evidence to the contrary, I show that a close examination of Leibniz's views on these topics provides compelling evidence for interpreting his philosophy of time as a B-theory of time. (shrink)

Newton’s Regulae philosophandi—the rules for reasoning in natural philosophy—are maxims of causal reasoning and induction. This essay reviews their significance for Newton’s method of inquiry, as well as their application to particular propositions within the Principia. Two main claims emerge. First, the rules are not only interrelated, they defend various facets of the same core idea: that nature is simple and orderly by divine decree, and that, consequently, human beings can be justified in inferring universal causes from limited phenomena, if (...) only fallibly. Second, the rules make substantive ontological assumptions on which Newton’s argument in the Principia relies. (shrink)