This article introduces three princesses: Princess Elizabeth of Bohemia (1618-1680); her sister, Princess Sophie who became the Electress of Hanover (1630-1714); and Sophie's daughter, Sophie Charlotte, who became the first Queen of Prussia (1668-1705). After summarizing their common family background, the article presents, for each in turn, her biography and a discussion of her relation to philosophy. In each case their philosophical involvement stems from their friendships with the leading philosophers of their day; Princess Elizabeth was a friend of Descartes (...) while the Electress Sophie and Sophie Charlotte were friends of Leibniz. The article concludes that anyone who has made the acquaintance of the three princesses and has studied their interaction with their philosopher-friends will always see them as part of the history of modern philosophy. (shrink)

Many philosophers have believed that colours and the other qualia ofexperience are simples and that colour terms are unanalysable. Colour termsare unanalysable because colours are simples, colours are known to be simple because colour terms are unanalysable. I shall try to show that things are not as simple as this. Nothing in the paper will depend on the general Wittgensteinian thesis of the relativity of simplicity. The thought I shallpursue is the more specific one that the philosophers who have believed (...) in the simplicity of colours have been the victims of certain false images of what the relevant kind of simplicity is like, and that when these images are destroyed the belief is clearly false. Most importantly they have confused logical simplicity with visual uniformity, the kind of simplicity which could intelligibly be attributed to coloured patches or expanses of colour andthe kind of simplicity which can be attributed to colours. So the paper is concerned with the destruction of spatial and material images which distort our understanding of concepts which are neither spatial nor material ones.The wider epistemological implications of the non-existence of simple ideas of colours will not be discussed. (shrink)

One of the hallmarks of the early modern rationalists was their confidence that a great deal of metaphysics could be done by purely a priori reasoning. They thought so at least partly because they inherited via Descartes Anselm's confidence that the existence of God could be established by purely a priori reasoning in an ontological argument. They also inherited a Thomistic and scholastic confidence that the concept of God as supremely perfect being, if subjected to serious and deep analysis, would (...) yield sound doctrine. Descartes, Spinoza, and Leibniz all three took it that they had in their stock of ideas an idea of God sufficiently clear and detailed that a little analytic work could produce real metaphysical results, not only about God himself, but also about the universe in which they found themselves. Though they start with what purport to be ideas of the same God, they get radically different results in their analyses. (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)

One often hears a complaint about “bare particulars”. This complaint has bugged me for years. I know it bugs others too, but no one seems to have vented in print, so that is what I propose to do. (I hope also to say a few constructive things along the way.) The complaint is aimed at the substratum theory, which says that particulars are, in a certain sense, separate from their universals. If universals and particulars are separate, connected to each other (...) only by a relation of instantiation, then, it is said, the nature of these particulars becomes mysterious. In themselves, they do not have any properties at all. They are nothing but a pincushion into which universals may be poked. They are Locke’s “I know not what” (1689, II, xxiii, §2); they are Plato’s receptacles (Timaeus 48c–53c); they are “bare particulars”.1 Against substratum theory there is the bundle theory, according to which particulars are just bundles of universals. The substratum and bundle theories agree on much. They agree that both universals and particulars exist. And they agree that a particular in some sense has universals. (I use phrases like ‘particular P has universal U ’ and ‘particular P ’s universals’ neutrally as between the substratum and bundle theories.) But the bundle theory says that a particular is exhaustively composed of (i.e., is a mereological fusion of) its universals. The substratum theory, on the other hand, denies this. Take a particular, and mereologically subtract away its universals. Is anything left? According to the bundle theory, no. But according to the substratum theory, something is indeed left. Call this remaining something a thin particular. The thin particular does not contain the universals as parts; it instantiates them. (shrink)

I discuss an argument for the monistic idea that the cosmos is the one and only fundamental thing, drawing on the idea that the cosmos is the one and only thing that evolves by the fundamental laws.

This paper explains the discipline of somaesthetics, which emerges from pragmatism's concern with enhancing embodied experience and reconstructing the aesthetic in ways that make it more central to key philosophical concerns of knowledge, ethics, and politics. I then examine Beauvoir's complex treatment of the body in The Second Sex, assessing both her arguments that could support the pragmatic approach of somaesthetics but also those that challenge its bodily focus as a danger for feminism.

Editor’s Choice for 21st Anniversary Special Edition. Originally published in British Journal for the History of Philosophy, 7(1) (1999), 57-78.

Consciousness and the Prospects of Physicalism has three parts. The first (Chapters 1–4) develops a response to the knowledge and conceivability arguments against physicalism, one that features the open possibility that introspective representations represent mental properties as having features they actually lack. The second part (Chapters 5 and 6) proposes a physicalist version of a Russellian Monist answer to these arguments, the core of which is that currently unknown intrinsic physical properties provide categorical bases for known physical properties and also (...) yield an account of consciousness. The third part (Chapters 7 and 8) defends a nonreductive account of physicalism about the mental, according to which the relation between the mental and the microphysical is constitution, where this relation is not explicated by the notion of identity. (shrink)

A critical re-examination of the history of the concepts of space (including spacetime of general relativity and relativistic quantum field theory) reveals a basic ontological elusiveness of spatial extension, while, at the same time, highlighting the fact that its epistemic primacy seems to be unavoidably imposed on us (as stated by A.Einstein “giving up the extensional continuum … is like to breathe in airless space”). On the other hand, Planck’s discovery of the atomization of action leads to the fundamental recognition (...) of an ontology of non-spatial, abstract entities (Quine) for the quantum level of reality (QT), as distinguished from the necessarily spatio-temporal, experimental revelations (measurements). The elementary quantum act (measured by Planck’s constant) has neither duration nor extension, and any genuinely quantum process literally does not belong in the Raum and time of our experience. As Heisenberg stresses: “Während also die klassische Physik ein objectives Geschehen in Raum and Zeit zum Gegenstand hat, für dessen Existenz seine Beobachtung völlig irrelevant war, behandelt die Quantentheorie Vorgänge, die sozusagen nur in den Momenten der Beobachtung als raumzeitliche Phänomene aufleuchten, und über die in der zwischenzeit anschaulische physikalische Aussagen sinloss sind”. An admittedly speculative, hazardous conjecture is then advanced concerning the relation of such quantum ontology with the role of the pre-phenomenal continuum (Husserl) in the perception of macroscopically distinguishable objects in the Raum and time of our experience. Although rather venturesome, it brings together important philosophical issues. Coherently with recent general results in works on the foundations of QT, it is assumed that the linearity of quantum dynamical evolution does not apply to the central nervous system of living beings at a certain level of the evolutionary ramification and at the pre-conscious stage of subjectivity. Accordingly, corresponding to the onset of a non-linear dynamic evolution, a ‘primary spatial’ reduction is ‘continually’ taking place, thereby constituting the neural precondition for the experience of distinguishable macroscopic objects in the continuous spatial extension. While preventing the theoretically possible quantum superpositions of macroscopic objects from being perceivable by living beings, the ‘primary reduction’ has no effect on the standard processes concerning quantum level entities involved in laboratory man-made experiments. In this connection, an experimental check which might falsify the conjecture is briefly discussed. The approach suggested here, if sound, leads to a naturalization of that part of Kant’s Transcendental Aesthetics than can survive the Euclidean catastrophe. According to such naturalized transcendentalism, “space can well be transcendental without the axioms being so”, in agreement with a well-known statement by Boltzman. Finally, as far as QT is concerned, the conjecture entails that a scheme for quantum measurement of the von Neumann type cannot even ‘leave the ground’, vindicating Bohr’s viewpoint. A quantum theory of measurement, in a proper sense, turns out to be unnecessary and in fact impossible. (shrink)

The problem of evil is not only a logical problem about God's goodness but also an existential problem about the sense of God's presence, which the Biblical book of Job conceives as a problem of aesthetic experience. Thus, just as theism can be grounded in religious experience, atheism can be grounded in experience of evil. This phenomenon is illustrated by two contrasting literary descriptions of aesthetic experience by Jean-Paul Sartre and Annie Dillard. I illuminate both of these literary texts with (...) a discussion of the 18th Century philosopher Lord Shaftesbury's concept of ‘enthusiasm’. (shrink)

The paper discusses Leibniz's theory of denominations, expression, and individual notions, the central claim being that the key to many of Leibniz's fundamental theses is to consider his argument, starting from his predicate-in-subject account of truth (that in a true statement the notion of the predicate is contained in that of the subject), against purely extrinsic denominations: this argument shows why there is an internal foundation for all denominations, why everything in the world is interconnected, why each substance expresses all (...) the others, and why every change in the world is reflected as a real, internal change in every substance. (shrink)

Kant claims that Aristotles logic as complete, explain the historical and philosophical considerations that commit him to proving the completeness claim and sketch the proof based on materials from his logic corpus. The proof will turn out to be an integral part of Kant’s larger reform of formal logic in response to a foundational crisis facing it.

Leibniz's widely influential account of time provides a significant puzzle for those seeking to locate this account within his hierarchical ontology. Leibniz follows his scholastic predecessors in supposing that there are different grades of being, with substances being the most real and all other things possessing their reality via their relationships to substance. Following this picture, Leibniz suggests that phenomenal bodies only possess the being that they derive from the substances (i.e., monads) that ground them. Some would argue that time (...) likewise only possesses its being based on the bodies that it relates. Contrary to this suggestion (i.e., that time is twice removed from substances), I will argue that time is derived directly from rational souls. Thus, I will argue that time is on an ontological par with the phenomenal world of bodies. (shrink)

ABSTRACTThe question of the relation between humans and nature lies at the foundation of any philosophy. With the daily worsening environmental crisis, we are forced to face this ancient question again. Yet when we put it into the form of ‘humans and nature’, a metaphysics is already implied and the problem of nature has not yet been questioned. At this moment, the very question that needs to be put forward is, ‘What is nature’? The question of nature will be interrogated (...) through a comparative view in this essay. First, I argue the modern understanding of nature lies at the root of today’s environmental problems. Then, I go back to early Daoism to explore Daoist thinking on ziran. The meaning of ‘dao emulates ziran’ is brought to light through a detailed interpretation of the ziran of dao and things. Ziran penetrates the dao, the heavenly, the earthly and the human. It is with the understanding of ziran that the nature of humans and all things are illuminated. Heidegger’s... (shrink)

This article shows how and why John Toland’s Pantheisticon presents a version of Stoicism that locates Stoic ethics in terms of its ‘original’, naturalistic, foundation and devoid of any reconciliation with Christianity. As the article demonstrates, Toland’s account – based on Cicero’s Academica – stands opposed to the Christianized version of Stoicism that had dominated so much seventeenth-century discourse: in effect, Toland restores the materialism that was incompatible with neo-Stoicism. Furthermore, the article also suggests that this ‘restoration’ can be taken (...) as a Spinozistic statement: Toland’s ‘application’ of Cicero celebrates what the first critics of neo-Stoicism had deemed dangerously close to Spinozism and so a threat to established piety. (shrink)

This article examines the rift in Leibniz’s conception of determinism after being rebuffed by the Parisian theologian Antoine Arnauld in their correspondence of 1686. As, in addition, his study of surds infracted his confidence in the “complete concept,” Leibniz embarked on a new, dynamic doctrine of substance or “law of the series.” In the literature, this strategy has been widely understood as “tweaking” the system to allow some self-assertion of free will. But as this article will show, it amounts to (...) a revolutionary conception that culminates in the unmasking of determinism as an insupportable, indeed incoherent doctrine. As all forms of determinism are profoundly entangled with human self-perception, the Leibnizian Kehre invites us to a new engagement with human freedom and autonomy and the disentanglement from a philosophical position for which neither a metaphysical nor an empirical proof can be given. (shrink)

I argue that the debate between proponents of substance causation and proponents of causation by powers, as to whether substances or their powers are causes, hinges on whether or not powers are self-exemplifying or non-self-exemplifying properties. Substance causation is committed to powers being non-self-exemplifying properties while causation by powers is committed to powers being self-exemplifying properties. I then argue that powers are non-self-exemplifying properties, in support of substance causation.

The article proposes a new solution to the long-standing problem of the universality of essences in Spinoza's ontology. It argues that, according to Spinoza, particular things in nature possess unique essences, but that these essences coexist with more general, mind-dependent species-essences, constructed by finite minds on the basis of similarities that obtain among the properties of formally-real particulars. This account provides the best fit both with the textual evidence and with Spinoza's other metaphysical and epistemological commitments. The article offers new (...) readings of how Spinoza understands not just the nature of essence, but also the nature of being, reason, striving, definitions, and different kinds of knowledge. (shrink)

The paper offers a new account of Spinoza's conception of “substance”, the fundamental building block of reality. It shows that it can be demonstrated apriori within Spinoza's metaphysical framework that (i) contrary to Idealist readings, for Spinoza there can be no substance that is not determined or modified by some other entity produced by substance; and that (ii) there can be no substance (and hence no being) that is not a thinking substance.

It has recently been suggested that, for Leibniz, temporal facts globally supervene on causal facts, with the result that worlds differing with respect to their causal facts can be indiscernible with respect to their temporal facts. Such an interpretation is at variance with more traditional readings of Leibniz’s causal theory of time, which hold that Leibniz reduces temporal facts to causal facts. In this article, I argue against the global supervenience construal of Leibniz’s philosophy of time. On the view of (...) Leibniz defended here, he adopts a non-modal reduction of time to events, a form of reductionism that entails a strong covariation between a world’s temporal facts and its causal facts. Consequently, worlds discernible with respect to their temporal facts must be discernible with respect to their causal facts, and worlds discernible with respect to their causal facts must be discernible with respect to their temporal facts. This position strongly favors the standard identificatory reduction of time to causation often imputed to Leibniz. (shrink)

‘Controversy’ is here introduced as a technical term referring to one aspect of dispute. ‘Controversy’ is here understood as referring to an ongoing antagonistic exchange over a disagreement that cannot be readily resolved by the means at hand. However, the issue is being discussed because the participants believe that the controversy will be resolveable in the framework of a more advanced view which will be generated by the dispute. It is claimed that this ‘controversy’ merits study; it is not claimed (...) that a dispute can be reduced to this aspect. In fact, it is shown that the dispute studied here involved intrigues in which personal and national prejudices served as weapons.The historical case study is a controversy conducted between G. W. Leibniz and Denis Papin. The first topic of the controversy, which began in 1689 and ended in 1691, was the ‘measure of force’, but it soon extended also to fundamental issues of mechanics and science in general: to the epistemological status of conservation laws, to the nature of abstractions in science etc.The study shows that far from being a ‘logomachia’, the ‘vis viva controversy’ reflected two exclusive legitimate interpretations of the conceptual system involved and enhanced both of them, preparing their ‘Aufhebung’ in a more elaborate and comprehensive system.An English translation of a not-yet published ‘Synopsis Controversiae’ by Denis Papin with annotations by Leibniz is attached as an appendix.Author Keywords: Conservation laws; Controversy; G. W. Leibniz; D. Papin; Vis viva. (shrink)

I consider Leibniz's thoughts about Hobbes's materialism, focusing on his less-discussed later thoughts about the topic. Leibniz understood Hobbes to have argued for his materialism from his imagistic theory of ideas. Leibniz offered several criticisms of this argument and the resulting materialism itself. Several of these criticisms occur in texts in which Leibniz was engaging with the generation of British philosophers after Hobbes. Of particular interest is Leibniz's correspondence with Damaris Masham. Leibniz may have been trying to communicate with Locke, (...) but ended up discussing Masham's version of the argument for materialism that Leibniz attributed to Hobbes. (shrink)

Kant's distinction between analytic and synthetic method is connected to the so-called Aristotelian model of science and has to be interpreted in a (broad) directional sense. With the distinction between analytic and synthetic judgments the critical Kant did introduced a new way of using the terms 'analytic'-'synthetic', but one that still lies in line with their directional sense. A careful comparison of the conceptions of the critical Kant with ideas of the precritical Kant as expressed in _Ãœber die Deutlichkeit, leads (...) to the interpretation defended here of Kant's distinction between analytic and synthetic judgments within his philosophy of mathematics. (shrink)

It is a common thought that mathematics can be not only true but also beautiful, and many of the greatest mathematicians have attached central importance to the aesthetic merit of their theorems, proofs and theories. But how, exactly, should we conceive of the character of beauty in mathematics? In this paper I suggest that Kant's philosophy provides the resources for a compelling answer to this question. Focusing on §62 of the ‘Critique of Aesthetic Judgment’, I argue against the common view (...) that Kant's aesthetics leaves no room for beauty in mathematics. More specifically, I show that on the Kantian account beauty in mathematics is a non-conceptual response felt in light of our own creative activities involved in the process of mathematical reasoning. The Kantian proposal I thus develop provides a promising alternative to Platonist accounts of beauty widespread among mathematicians. While on the Platonist conception the experience of mathematical beauty consists in an intellectual insight into the fundamental structures of the universe, according to the Kantian proposal the experience of beauty in mathematics is grounded in our felt awareness of the imaginative processes that lead to mathematical knowledge. The Kantian account I develop thus offers to elucidate the connection between aesthetic reflection, creative imagination and mathematical cognition. (shrink)

The Principle of the Identity of Indiscernibles, commonly attributed to Leibniz, has given rise to much discussion and debate. Thus philosophers have argued over how it should be formulated, whether it is true, and what, if any, metaphysical consequences it has.It is not my intention to add to these discussions here, having done so elsewhere. Rather, I intend to introduce and defend a closely related principle which I shall, for want of a better name, refer to as The Principle of (...) the Identity of Necessary Similarity’.In section II, I briefly recapitulate some of the distinctions and other relevant points which are customarily made in connection with. This is all too familiar material, but it is necessary in order to provide a general framework of concepts in terms of which we can discuss in an intelligible fashion. (shrink)

I argue that Spinoza endorses "conceptual dependence monism," the thesis that all forms of metaphysical dependence (such as causation, inherence, and existential dependence) are conceptual in kind. In the course of explaining the view, I further argue that it is actually presupposed in the proof for his more famed substance monism. Conceptual dependence monism also illuminates several of Spinoza’s most striking metaphysical views, including the intensionality of causal contexts, parallelism, metaphysical perfection, and explanatory rationalism. I also argue that this priority (...) of the conceptual does not commit Spinoza to forms of idealism or mentalism. The question of how to understand different kinds of metaphysical dependence is quite controversial in Spinoza studies; I address major alternative readings in the notes. But there I also try to draw connections to the growing debate in contemporary discussions about metaphysical dependence, as this topic is a happy point of shared interest between Spinoza and contemporary metaphysicians alike. (shrink)

The purpose of this dissertation is to defend Pierre Fermat and Gottfried Wilhelm Leibniz against the charge of error made against them by Pierre Maupertuis that they errantly applied final causes to physics. This charge came in Maupertuis’ 1744 speech to the Paris Academy of Sciences, later published in different versions, entitled Accord Between Different Laws Which at First Seemed Incompatible. It is in this speech that Maupertuis lays claim to one of the most important discoveries in the history of (...) physics and science, The Principle of Least Action. From the date of this speech up until the end of the twentieth century, Maupertuis was credited with this discovery. Fermat discovered least time in optical physics, and Leibniz co-discovered infinitesimal calculus. When the credited discoverer of least action in physics accuses the discoverer of least time in optics and the co-discoverer of infinitesimal calculus of error before and audience of mathematicians, physicists and scientists, it is an event that calls out for investigation. The idea of final causes in physics is the idea that bodies move for an end purpose. During the early modern period, this challenged the intellectual establishment of the day with the idea of thinking in nature. The question which fueled the research for this dissertation is why such a man would accuse two other prominent intellects with such an unprovable metaphysical assumption. The research for this project started with a study of the positions of all three of these men regarding final causes in physics. The second phase was to research the historical context in which Accord Between Different Laws Which at First Seemed Incompatible was written and delivered. This context included the life of Maupertuis as member of the Paris Academy of Sciences and as later President of the Berlin Academy of Sciences. It also included the workings of three highly competitive, state funded, academies of science in Berlin, London and Paris. Research showed that no formal positions were held on the subject of final causes by either Maupertuis or Fermat. Only Leibniz demonstrated an established and well thought out position on the subject. Research did reveal the story of an ambitious man in Maupertuis, who made it the fulfillment of his ambition to rise in the ranks of math and science within the academies and establish himself as an intellectual great in European culture. Consequently, the life and career of Maupertuis illustrates the sociological dimension of scientific achievement. Accord Between Different Laws Which at First Seemed Incompatible turned out to be a politically calculated speech delivered for the purpose of career advancement. In 1744, Maupertuis was being considered by the King of Prussia, Frederick the Great, and the leadership of the Berlin Academy of Science for the presidency of that institution. Maupertuis knew this. Therefore, the work must be interpreted in this context. Consequently, the charge of error against Fermat and Leibniz by Maupertuis must be interpreted likewise. Discovery was made in contextual and Leibnizian research that Maupertuis was aware of Leibniz’s idea of action from 1738 on, and knowingly claimed to have discovered a generalized notion of action in physics which was not his. It is the story of ambition clouding human judgment. The Leibnizians attacked Maupertuis on this matter, led by a member of the Berlin Academy named Samuel Konig. In the “Konig Affair”, Konig accused Maupertuis of what is essentially plagiarism, and Maupertuis countered with charging Konig with forgery for claiming to have in his possession a letter from Leibniz to Jacob Hermann demonstrating Leibniz’s knowledge of least action. Maupertuis buries Konig in legal proceedings, but loses his reputation in the process. During the final stages of the Konig affair, Maupertuis admits to Patrick d’Arcy, a member of the Paris academy, that he had used Leibniz’s theory of action. Having lost his effective leadership as President of the Berlin Academy, Maupertuis spends the last years of his life in his native France without ever relinquishing his title and office. When at first examining the charge of error, the immediate notion is that this is a cause and effect argument. It appears to be an argument about the order of metaphysics before physics. This turns out not to be the case. Maupertuis agrees with Fermat and Leibniz at every turn. The charge is all about career success. (shrink)

The aim of this paper is to connect Leibniz’s and Toulmin’s conceptions about practical and deliberative rationality. When trying to rationally justify contingent judgments Leibniz, like Toulmin, defends a weighing argumentative method. Thus, in Leibniz we can discern the balance between the legitimate demands of formal models of rationality and the lessons of a practice “situated” on a historical, social, and evaluative context.

Leibnizian metaphysics is traditionally held to be idealistic. It means that reality is composed of soul-like substances whereas material bodies are mere phenomena. The traditional interpretation presupposes that Leibniz’s view has not changed during the mature period (from 1683 onward). Some commentators have recently challenged this view. They claim that either Leibniz (despite inconsistency) was both a realist and an idealist (Hartz), or changed his view on the nature of substance (Garber). The aim is to defend the traditional interpretation and (...) to reply to the arguments by realist commentators. (shrink)