It can be shown by means of a paradox that, given the Principle of Sufficient Reason, there is no conjunction of all contingent truths. The question is, or ought to be, how to interpret that result: _Quid sibi velit?_ A celebrated argument against PSR due to Peter van Inwagen and Jonathan Bennett in effect interprets the result to mean that PSR entails that there are no contingent truths. But reflection on parallels in philosophy of mathematics shows it can equally be (...) interpreted either as a proof that there are "too many" contingent truths to combine in a single conjunction or as a proof that the concept _contingent truth_ is indefinitely extensible and there is no such thing as "all contingent truths." Either interpretation would reconcile PSR with contingent truth, but the natural rationales of those interpretations are at odds. This essay argues that the second interpretation is a more satisfactory explanation of why, if PSR is true, there should be no conjunction of all contingent truths. This sheds new light on the nature of the explanatory demand embedded in PSR and uncovers a number of surprising implications for the commitments of rationalism. (shrink)

Mathematician and philosopher Hermann Weyl had our subject dead to rights.

What is Leibniz’s argument for simple substances? I propose that it is an extension of his prior argument for incorporeal forms as principles of unity for individual corporeal substances. The extension involves seeing the hylomorphic analysis of corporeal substances as implying a resolution of matter into forms, and this seems to demand that forms, which are themselves simple, be the only elements of things. The argument for simples thus presupposes the existence of corporeal substances as a key premise. Yet a (...) theory of simple substances as the elements of things threatens to preclude the existence of corporeal substances for Leibniz, and the extension of the argument for forms into an argument for simples is not cogent. If nothing else rides on the simplicity of individual substances, then perhaps instead of being its most fundamental tenet, the doctrine of simples—the monadology—is something that over-extends and destabilizes Leibniz’s metaphysics. (shrink)

In this paper I argue that what has been called Leibniz’s “aggregate argument” for unities in things in fact comprises three quite distinct lines of argument, with different concepts being advanced under the name ‘unity’ and meriting quite different conceptual treatment. Two of those arguments, what I call the Borrowed Reality Argument and the Multitude Argument, also appear in later writings to be further elaborated into arguments not just for unities but for simples. I consider the arguments in detail. I (...) suggest that one of the two, the Borrowed Reality Argument, is philosophically more promising and has the stronger evidence for being central in Leibniz’s thought as he argues for the existence of simple substances. (shrink)

The article is a critical notice of Daniel Garber, Leibniz: Body, Substance, Monad. Garber presents a developmental reading of Leibniz's metaphysics that focuses on Leibniz's evolving analysis of body and force as the key to his account of substance. Garber claims that Leibniz shifts from an early theory of body to a theory of corporeal substance in his middle years, and only develops a theory of monads in his later writings—and that even then Leibniz looks not to abandon the scheme (...) of corporeal substances but to reconcile it with that of monads. The present article considers several challenges to Garber's interpretation, questioning, among other things, Garber's claims about development and Garber's account of Leibniz's primary arguments for the theory of monads. The article concludes that while crucial elements of the standard interpretation of Leibniz as an idealist can be defended against Garber's critique, the original traditional view that takes the theory of monads as the first and most fundamental principle of Leibniz's metaphysics is no longer sustainable. (shrink)

The sorites paradox receives its most sophisticated early modem discussion in Leibniz’s writings. In an important early document Leibniz holds that vague terms have sharp boundaries of application, but soon thereafter he comes to adopt a form of nihilism aboutvagueness: and it later proves to be his settled view that vagueness results from semantical indeterminacy. The reason for this change of mind is unclear, and Leibniz does not appear to have any grounds for it. I suggest that his various treatments (...) of the sorites do notspring from a single integrated view of vagueness, and that his early position reflects a mercenary interest in the sorites paradox---an interest to use the sorites to reach a conclusion in metaphysics rather than to examine vagueness as a subject to be understood in itsown right. The later nihilist stance reflects Leibniz’s own (if undefended) attitude towards vagueness. (shrink)

Interest in Leibniz’s early philosophical writings has been on the rise in recent years, and to the growing literature on the subject we can now add an excellent volume of papers edited by Stuart Brown. The Young Leibniz and His Philosophy collects articles from a dozen leading authors on a variety of topics, plus a substantial introductory chapter by the editor that provides an overview of Leibniz’s life and works from 1646 to 1676. The essays originate from a 1996 conference (...) at Woburn College in Bedfordshire, and they have all been polished to stand as fully articulated works of scholarship for this publication. (shrink)

This chapter contains sections titled: It Ain't Fast Food! We Are What We Eat Notes.

The Irish writer and Nobel Prize winner, Samuel Beckett, assembled for himself a history of western philosophy during the 1930s, just at the point at which his first novel, Murphy, was coming together. The 'Philosophy Notes', together with related notes taken at that time about St. Augustine, thereafter provided Beckett with a store of knowledge, but also with phrases and images, which he took up in the major work that won him international and enduring fame, from the dramas Waiting (...) for Godot and Endgame, through to the late prose works Worstward Ho and Stirrings Still. This edition presents, for the first time, Beckett's full 'Philosophy Notes', which constitute his most extensive unpublished text. The Notes display Beckett's own interests and emphases within the history of western philosophy, from the pre-Socratic Greeks onwards, together with more familiar figures in the study of his work, such as Descartes, Leibnitz, and Geulincx. Here we see Beckett's original thoughts on all of these figures for the first time. The Notes also, tellingly and often comically, display Beckett's impatience with many aspects of philosophy, such as its anthropological or anthropomorphic bias, or the idealism of the Enlightenment and Kant. The Edition contains an extensive Introduction, outlining the origin of Beckett's Notes, his major sources and approach to them, the historical context for his view of philosophy, and the significance of Beckett's 'Philosophy Notes' within his mature writings. The many footnotes then suggest ways in which particular aspects of the philosophy narrated here by Beckett suggest fresh insights into those later writings-the images, but also the creative impulses, behind some of his most famous texts. This Edition, further, raises larger questions about, and perspectives upon, the relation between philosophy and literature in the twentieth century and beyond."--Back cover. (shrink)

In a recent book and an article, Carl Craver construes the relations between different levels of a mechanism, which he also refers to as constitutive relations, in terms of mutual manipulability (MM). Interpreted metaphysically, MM implies that inter-level relations are symmetrical. MM thus violates one of the main desiderata of scientific explanation, namely explanatory asymmetry. Parts of Craver’s writings suggest a metaphysical interpretation of MM, and Craver explicitly commits to constitutive relationships being symmetrical. The paper furthermore explores the option of (...) interpreting MM epistemologically, as a means for individuating mechanisms. It is argued that MM then is redundant. MM should therefore better be abandoned. (shrink)

I provide a theory of the metaphysical foundations of identity: an account what grounds facts of the form a=b. In particular, I defend the claim that indiscernibility grounds identity. This is typically rejected because it is viciously circular; plausible assumptions about the logic of ground entail that the fact that a=b partially grounds itself. The theory I defend is immune to this circularity.

Many take Kantian ethics to founder when it comes to our duties to animals. In this paper, I advocate a novel approach to this problem. The paper is divided into three sections. In the first, I canvass various passages from Kant in order to set up the problem. In the second, I introduce a novel approach to this problem. In the third, I defend my approach from various objections. By way of preview: I advocate rejecting the premise that nonhuman animals (...) are nonrational. (shrink)

Because moral understanding involves a distinctly first-personal grasp of moral matters, there is a temptation to think of its value primarily in terms of achievements that reflect well on its possessor: the moral worth of one's action or the virtue of one's character. These explanations, I argue, do not do full justice to the importance of moral understanding in our moral lives. Of equal importance is the value of moral understanding in our relations with other moral agents. In particular, I (...) argue that an understanding of moral matters is of central importance within relations of solidarity. In addition to highlighting an overlooked aspect of moral understanding's value, this view also has important implications for what solidarity requires of those who stand in that relationship. (shrink)

Frege's picture of attitude states and attitude reports requires a notion of content that is shareable between agents, yet more fine-grained than reference. Kripke challenged this picture by giving a case on which the expressions that resist substitution in an attitude report share a candidate notion of fine-grained content. A consensus view developed which accepted Kripke's general moral and replaced the Fregean picture with an account of attitude reporting on which states are distinguished in conversation by their (private) representational properties. (...) I begin in support of the consensus by showing how a sort of de facto coordination on mental symbols is possible, even for unsophisticated agents. But I go on to argue that whenever conditions are ripe for de facto coordination on symbols, there is an inter-subjective relation that supports a fine-grained notion of content resistant to Kripke's challenge. The consensus view corresponds to a Kripke-resistant strain of the Fregean picture. (shrink)

This Element, written for researchers and students in philosophy and the behavioral sciences, reviews and critically assesses extant work on number concepts in developmental psychology and cognitive science. It has four main aims. First, it characterizes the core commitments of mainstream number cognition research, including the commitment to representationalism, the hypothesis that there exist certain number-specific cognitive systems, and the key milestones in the development of number cognition. Second, it provides a taxonomy of influential views within mainstream number cognition research, (...) along with the central challenges these views face. Third, it identifies and critically assesses a series of core philosophical assumptions often adopted by number cognition researchers. Finally, the Element articulates and defends a novel version of pluralism about number concepts. (shrink)

This dissertation is an experiment: what happens if we treat proper names as anaphoric expressions on a par with pronouns? The first thing to notice is that a name's 'antecedent' can occur in a discourse prior to the one containing the name. An individual may be introduced and tagged with a name in one context, and then retrieved using the name in a later context. To allow for discourse crossing anaphora, in addition to the usual cross-sentential anaphora, a revision of (...) discourse semantics is in order. Essentially, we must countenance discourse referents that span contexts, and think of contexts, not as islands, but as nodes connected to each other by the discourse referents they share. Discourse semantics gives rise to a new notion of content determined by discourse reference rather than pure reference. In a space of contexts structured by shared discourse referents, discourse content becomes transmissable. For a piece of content may be sent from one context to another whenever the discourse referents bundled up in the content are held in common by the two contexts. The final step is to treat the cognitive state of an agent as just another kind of context, and so a potential recipient of discourse content. Discourse content is more fine-grained than traditional 'singular' content, and so is a better fit for our pretheoretic intuitions about communication and attitude reporting. This is illustrated by applying the theory to Frege's puzzle, a puzzle of Loar's about communication, Kripke's puzzle about belief, Geach's intentional identity and new breed of 'mixed' de re-de dicto sentence. (shrink)

Fragmentalism allows incompatible facts to constitute reality in an absolute manner, provided that they fail to obtain together. In recent years, the view has been extensively discussed, with a focus on its formalisation in model-theoretic terms. This paper focuses on three formalisations: Lipman’s approach, the subvaluationist interpretation, and a novel view that has been so far overlooked. The aim of the paper is to explore the application of these formalisations to the alethic modal case. This logical exploration will allow us (...) to study (i) cases of metaphysical incompatibility between modal facts and (ii) cases of modal dialetheias. In turn, this will enrich our understanding of the role of impossibility in the fragmentalist framework. (shrink)

Liberalism generally holds that legitimate political power is limited and is to be impartially exercised, only for the public good. Liberals accordingly assign political priority to maintaining certain basic liberties and equality of opportunities; they advocate an essential role for markets in economic activity, and they recognize government's crucial role in correcting market breakdowns and providing public goods. Classical liberalism and what I call “the high liberal tradition” are two main branches of liberalism. Classical liberalism evolved from the works of (...) Adam Smith and the classical utilitarian economists; its major 20th century representatives include Friedrich Hayek and Milton Friedman. The high liberal tradition developed from John Stuart Mill's works, and its major philosophical representatives in the 20th century are John Dewey and, later, John Rawls. This paper discusses the main distinguishing features of the classical and the high liberal traditions and their respective positions regarding capitalism as an economic and social system. Classical liberals, unlike high liberals, regard economic liberties and rights of private property in productive resources to be nearly as important as basic liberties. They conceive of equality of opportunity in more formal terms, and regard capitalist markets and the price system as essential not only to the allocation of production resources, but also as the fundamental criterion for the just distribution of income, wealth, and economic powers. High liberals, by contrast, regard the economic liberties as subordinate to the exercise of personal and civic liberties. They are prepared to regulate and restrict economic liberties to achieve greater equality of opportunities, reduce inequalities of economic powers, and promote a broader conception of the public good. And while high liberals endorse markets and the price system as essential to allocation of productive resources, they do not regard markets as the fundamental criterion for assessing just distributions of income, wealth, and economic powers and positions of responsibility. The paper concludes with some reflections upon the essential role that dissimilar conceptions of persons and society play in grounding the different positions on economic justice that classical and high liberals advocate. (shrink)

The allocation of scarce health care resources such as flu treatment or organs for transplant presents stark problems of distributive justice. Persad, Wertheimer, and Emanuel have recently proposed a novel system for such allocation. Their “complete lives system” incorporates several principles, including ones that prescribe saving the most lives, preserving the most life-years, and giving priority to persons between 15 and 40 years old. This paper argues that the system lacks adequate moral foundations. Persad and colleagues' defense of giving priority (...) to those between 15 and 40 leaves them open to the charge that they discriminate unfairly against children. Second, the paper contends that the complete lives system fails to provide meaningful practical guidance in central cases, since it contains no method for balancing its principles when they conflict. Finally, the paper proposes a new method for balancing principles of saving the most lives and maximizing life-years. (shrink)

In this paper, I examine global public reason as a method of justifying a global state. Ultimately, I conclude that global public reason fails to justify a global state. This is the case, because global public reason faces an unwinnable dilemma. The global public reason theorist must endorse either a hypothetical theory of consent or an actual theory of consent; if she endorses a theory of hypothetical consent, then she fails to justify her principles; and if she endorses a theory (...) of actual consent, her theory will lead to a highly unstable political system. On either side of the dilemma, global public reason faces untenable implications. Although similar criticisms have been advanced against domestic public reason, my argument is not repeating points made before me. My argument is new, in that it raises these objections specifically against global public reason, and in that it shows how, due to increased diversity of belief in the global arena, these problems are more pressing for global public reason than they are for domestic public reason. (shrink)

John Rawls says: “The main problem of distributive justice is the choice of a social system.” Property-owning democracy is the social system that Rawls thought best realized the requirements of his principles of justice. This article discusses Rawls’s conception of property-owning democracy and how it is related to his difference principle. I explain why Rawls thought that welfare-state capitalism could not fulfill his principles: it is mainly because of the connection he perceived between capitalism and utilitarianism.

This chapter contains section titled: Introduction A Global Distribution Principle? Problems with Globalizing the Difference Principle Conclusion Notes.

In his discussion of the duty of benevolence in §27 of the Metaphysics of Morals, Kant argues that agents have no obligation to promote their own happiness, for ‘this happens unavoidably’ (MS, AA 6:451). In this paper I argue that Kant should not have said this. I argue that Kant should have conceded that agents do have an obligation to promote their own happiness.

Can an agent's intelligence level be negative? We extend the Legg-Hutter agent-environment framework to include punishments and argue for an affirmative answer to that question. We show that if the background encodings and Universal Turing Machine (UTM) admit certain Kolmogorov complexity symmetries, then the resulting Legg-Hutter intelligence measure is symmetric about the origin. In particular, this implies reward-ignoring agents have Legg-Hutter intelligence 0 according to such UTMs.

In Improvisation, Samuel Wells defines improvisation in the theater as "a practice through which actors seek to develop trust in themselves and one another in order that they may conduct unscripted dramas without fear." Sounds a lot like life, doesn't it? Building trust, overcoming fear, conducting relationships, and making choices--all without a script. Wells establishes theatrical improvisation as a model for Christian ethics, a matter of "faithfully improvising on the Christian tradition." He views the Bible not as a "script" (...) but as a "training school" that shapes the habits and practices of the Christian community. Drawing on scriptural narratives and church history, Wells explains six practices that characterize both improvisation and Christian ethics. His model of improvisation reinforces the goal of Christian ethics--to teach Christians to "embody their faith in the practices of discipleship all the time."--Publisher description. (shrink)