The way Leibniz applied his philosophy to mathematics has been the subject of longstanding debates. A key piece of evidence is his letter to Masson on bodies. We offer an interpretation of this often misunderstood text, dealing with the status of infinite divisibility in nature, rather than in mathematics. In line with this distinction, we offer a reading of the fictionality of infinitesimals. The letter has been claimed to support a reading of infinitesimals according to which they are logical fictions, (...) contradictory in their definition, and thus absolutely impossible. The advocates of such a reading have lumped infinitesimals with infinite wholes, which are rejected by Leibniz as contradicting the part–whole principle. Far from supporting this reading, the letter is arguably consistent with the view that infinitesimals, as inassignable quantities, are mentis fictiones, i.e., (well-founded) fictions usable in mathematics, but possibly contrary to the Leibnizian principle of the harmony of things and not necessarily idealizing anything in rerum natura. Unlike infinite wholes, infinitesimals—as well as imaginary roots and other well-founded fictions—may involve accidental (as opposed to absolute) impossibilities, in accordance with the Leibnizian theories of knowledge and modality. (shrink)

Emmanuel Levinas was one of the foremost thinkers of the twentieth century. His work has influenced a wide range of intellectuals, from French thinkers such as Maurice Blanchot, Jacques Derrida, Luce Irigaray and Jean-Luc Marion, to American philosophers Stanley Cavell and Hillary Putnam. This set will be a useful resource for scholars working in the fields of literary theory, philosophy, Jewish studies, religion, political science and rhetoric. Titles also available in this series include, _Karl Popper_, and the forthcoming titles _Edmund (...) Husserl_ and _Gottlob Frege_. (shrink)

Described by the philosopher A.J. Ayer as a work of 'great originality and power', this book revolutionized contemporary thinking on science and knowledge. Ideas such as the now legendary doctrine of 'falsificationism' electrified the scientific community, influencing even working scientists, as well as post-war philosophy. This astonishing work ranks alongside _The Open Society and Its Enemies_ as one of Popper's most enduring books and contains insights and arguments that demand to be read to this day.

In this article I offer an opinionated overview of the central elements of Kant’s philosophical methodology during the critical period. I begin with a brief characterization of how Kant conceives of the aims of human inquiry – focusing on the idea that inquiry ideally aims at not just cognition (Erkenntnis), but also the more demanding cognitive achievements that Kant labels insight (Einsehen) and comprehension (Begreifen). Then I explore the implications of this picture for philosophy — emphasizing Kant’s distinction between critical (...) and doctrinal phases of philosophical inquiry, with the first of these playing both a negative and a positive role with respect to the second. Then, I will argue that this positive role is possible, according to Kant, only insofar as philosophy follows what I call a “capacities-first” methodology – that is, one that treats basic cognitive capacities (such as reason) and their self-conscious activities as fundamental (in both a cognitive sense and in an explanatory sense) for the sort of philosophy human beings are capable of. It is this methodology, I will argue, that allows Kant to introduce the first principles that philosophy in its doctrinal phase requires in a manner that is neither arbitrary nor (at least obviously) incompatible with Kant’s own critical restrictions on cognition. I conclude by discussing some of the implications of this methodological picture – including the methodological significance of self-consciousness and regressive or “transcendental” arguments, Kant’s distinction between analytic and synthetic methods in philosophy, and Kant’s conception of reason as autonomous. (shrink)

Katz offers such a grammatical account, in which makes it possible for the first time to explain the illocutionary potential of sentences within grammar.

,Etwa zwei Monate vor dem Tode sagte Husserl:,Man solle seine Vergangenheit nicht trivialisieren. ' "1 Die Herausforderung dieser Worte lieB sich nur schwer abschatzen, als ich dem Stifter des Husserl-Archivs, meinem Freund Pater Van Breda, im Januar I974- zwei Monate vor seinem unzeitigen Hingang- den von ihm so sehr begruBten und geforderten EntschluB, eine Husserl-Bio­ graphie zu schreiben, naher erlauterte. Mancherlei ware darin ein­ zubringen gewesen: Ubersicht uber die Geschicke des Bismarck­ Staates und das aufkommende Hitler-Reich, Vertrautheit mit Stifter und (...) Hofmannsthal, Kenntnis der Theorie mathematischer Funktionen wie der Psychologie der Wurzburger Schule, Einsicht in die Einfuhlungslehre von Lipps wie auch Heideggers Seins­ frage. Aber solche Absicht erwies sich hauptsachlich deswegen als undurchfiihrbar, weil es derzeit noch am Notigsten fehlt: an einer verlaBlichen Durcharbeitung von Husserls Denken und seiner Entwicklung, wie sie sich in den veroffentlichten Werken, vor al­ lem aber im Meer bewahrter Manuskripte niederschlug. Hier galt es, da viel bisher im Dunkeln liegt, die Materialien zu einer Bio­ graphie erst einmal bereitzustellen und, wenn auch oft nur um­ riBhaft, fur die Zukunft sicherzustellen. Ergebnis dieser Beschei­ dung ist die vorliegende Chronik. GewiB, Husserl ware selbst der befugteste interpres sui gewe­ sen. Doch was er unterm 20. Juni rg2r an den Meiner Verlag schrieb - der,Stand seiner Lebensarbeit" erlaube es ihm zur Zeit nicht, zu der in diesem Verlag erscheinenden Reihe von Selbstdarstellungen einen Beitrag zu liefern (F I r8/r + 25) -, galt, wie gerade unsere Chronik deutlich macht, fur ihn zeitlebens. (shrink)

De-extinction raises anew ontological and epistemological problems that have engaged environmental philosophers for decades. This essay re-examines these issues to provide a fuller understanding—and a critique—of de-extinction. One of my claims is that de-extinction as a philosophical problem merely recycles old issues and debates in the field (hence, “zombie” arguments). De-extinction is a project that arises out of the assertion of human domination of the natural world. Thus the acceptance of de-extinction as an environmental policy is an expression of a (...) human-nature relationship that disvalues the natural world and subjugates nature completely to the interests of humanity. (shrink)

Environmental pragmatism is a new strategy in environmental thought. It argues that theoretical debates are hindering the ability of the environmental movement to forge agreement on basic policy imperatives. This new direction in environmental thought moves beyond theory, advocating a serious inquiry into the merits of moral pluralism. Environmental pragmatism, as a coherent philosophical position, connects the methodology of classical American pragmatic thought to the explanation, solution and discussion of real issues. This concise, well-focused collection is the first comprehensive presentation (...) of environmental pragmatism as a new philosophical approach to environmental thought and policy. (shrink)

This essay addresses Cartesian duality and how its implicit dialectic might be repaired using physics and information theory. Our agenda is to describe a key distinction in the physical sciences that may provide a foundation for the distinction between mind and matter, and between sentient and intentional systems. From this perspective, it becomes tenable to talk about the physics of sentience and ‘forces’ that underwrite our beliefs (in the sense of probability distributions represented by our internal states), which may ground (...) our mental states and consciousness. We will refer to this view as Markovian monism, which entails two claims: (1) fundamentally, there is only one type of thing and only one type of irreducible property (hence monism). (2) All systems possessing a Markov blanket have properties that are relevant for understanding the mind and consciousness: if such systems have mental properties, then they have them partly by virtue of possessing a Markov blanket (hence Markovian). Markovian monism rests upon the information geometry of random dynamic systems. In brief, the information geometry induced in any system—whose internal states can be distinguished from external states—must acquire a dual aspect. This dual aspect concerns the (intrinsic) information geometry of the probabilistic evolution of internal states and a separate (extrinsic) information geometry of probabilistic beliefs about external states that are parameterised by internal states. We call these intrinsic (i.e., mechanical, or state-based) and extrinsic (i.e., Markovian, or belief-based) information geometries, respectively. Although these mathematical notions may sound complicated, they are fairly straightforward to handle, and may offer a means through which to frame the origins of consciousness. (shrink)

First Published in 1999. Routledge is an imprint of Taylor & Francis, an informa company.

We apply Benacerraf’s distinction between mathematical ontology and mathematical practice to examine contrasting interpretations of infinitesimal mathematics of the seventeenth and eighteenth century, in the work of Bos, Ferraro, Laugwitz, and others. We detect Weierstrass’s ghost behind some of the received historiography on Euler’s infinitesimal mathematics, as when Ferraro proposes to understand Euler in terms of a Weierstrassian notion of limit and Fraser declares classical analysis to be a “primary point of reference for understanding the eighteenth-century theories.” Meanwhile, scholars like (...) Bos and Laugwitz seek to explore Eulerian methodology, practice, and procedures in a way more faithful to Euler’s own. Euler’s use of infinite integers and the associated infinite products are analyzed in the context of his infinite product decomposition for the sine function. Euler’s principle of cancellation is compared to the Leibnizian transcendental law of homogeneity. The Leibnizian law of continuity similarly finds echoes in Euler. We argue that Ferraro’s assumption that Euler worked with a classical notion of quantity is symptomatic of a post-Weierstrassian placement of Euler in the Archimedean track for the development of analysis, as well as a blurring of the distinction between the dual tracks noted by Bos. Interpreting Euler in an Archimedean conceptual framework obscures important aspects of Euler’s work. Such a framework is profitably replaced by a syntactically more versatile modern infinitesimal framework that provides better proxies for his inferential moves. (shrink)

According to internalism about rationality, the ir/rationality of a subject depends only on how things appear from her subjective perspective. According to culpabilism, rationality is a normative standard such that violations of rationality are (at least sometimes) blameworthy. According to a classical line of reasoning, culpabilism entails internalism. I argue that, to the contrary, culpabilism entails that internalism is false. The internalist cannot accommodate the possibility of culpable irrationality.

According to the widely accepted principles of beneficence and distributive justice, I argue that healthcare providers and facilities have an ethical duty to reduce the ecological footprint of the services they provide. I also address the question of whether the reductions in footprint need or should be patient-facing. I review Andrew Jameton and Jessica Pierce’s claim that achieving ecological sustainability in the healthcare sector requires rationing the treatment options offered to patients. I present a number of reasons to think that (...) we should not ration health care to achieve sufficient reductions in a society’s overall consumption of ecological goods. Moreover, given the complexities of ecological rationing, I argue that there are good reasons to think that the ethical duty to reduce the ecological footprint of health care should focus on only nonpatient-facing changes. I review a number of case studies of hospitals who have successfully retrofitted facilities to make them more efficient and reduced their resource and waste streams. (shrink)

Significant disagreement remains in ethics about the duties we have towards wild animals. This paper aims to mediate those disagreements by exploring how they are supported by, or diverge from, the common-sense ethical principles of non-maleficence, beneficence, autonomy and justice popular in medical ethics. We argue that these principles do not clearly justify traditional conservation or a ‘hands-off ’ approach to wild-animal welfare; instead, they support natural negative duties to reduce the harms that we cause as well as natural positive (...) duties to promote the welfare of wild animals. (shrink)

In the history of political thought, the relationship between property and power has been a central preoccupation. The very nature of private property, on many accounts, is to put owners in a position of self-serving power to make decisions about matters of concern to others. In many legal systems, the vast power of owners is pervasive, as an ever greater range of resources is brought within the property regime and subjected to private power backed by the coercive power of the (...) state. Political and legal philosophers have long puzzled over how to reconcile the nature of private property with the limits and social responsibilities upon which, at least for some accounts, property’s legitimacy depends. The perennial question, then, is how best to understand the nature of property such that property’s limits can also be accounted for coherently within our legal and constitutional arrangements. Robé’s book Property, Power and Politics provides us with a wide-ranging analysis of property. There is much that we agree with and applaud here. In this contribution we seek to situate a key aspect of his work within this larger context, and to offer a criticism of one element of his view: his rejection of an understanding of ownership as an office. In Robé’s analysis, offices belong in the public sphere, where officeholders are held to account by their constituencies. We argue that Robé’s rejection of the idea of ownership-as-office rests on a misunderstanding of the legal concept of “office.” Moreover, this idea, properly understood, provides sound conceptual support for the normative aims of Robé’s account: to bind property and social responsibility tightly together. Robé’s project to criticize the virtually unlimited power of private owners in the contemporary world is served, not undermined, by understanding property as an office. First, we provide a brief summary of the key elements of Robé’s view of property (Part II). We then introduce a theoretical perspective on property as office as it has been developed in legal theory (Part III). Finally, we argue that this perspective fits better with Robé’s stated purposes than his own rejection of it suggests and raises some questions for future discussion (Part IV). (shrink)

The paper reconstructs Hegel’s account of shame as a fundamental affect. Qua spiritual, the human individual strives for self-determination; hence she is ashamed of the fact that, q...

Frege argues that number is so unlike the things we accept as properties of external objects that it cannot be such a property. In particular, (1) number is arbitrary in a way that qualities are not, and (2) number is not predicated of its subjects in the way that qualities are. Most Aristotle scholars suppose either that Frege has refuted Aristotle's number theory or that Aristotle avoids Frege's objections by not making numbers properties of external objects. This has led some (...) to conclude that Aristotle's accounts of arithmetical and geometrical objects differ substantially. I close this supposed gap by showing that Aristotle's arithmetical objects, like geometrical objects, are just certain sensible things qua certain properties they in fact possess. Specifically, numbers are pluralities qua quantitative or relational properties like ten units or ten. I show that this view is resistant to the Fregean concerns about arbitrariness and numerical predication. (shrink)

Teleosemantics is the view that mental content depends on etiological function. Moral adaptationism is the view that human morality is an evolved adaptation. Jointly, these two views offer new venues for naturalist metaethics. Several authors have seen, in the conjunction of these views, the promise of assigning naturalistically respectable descriptive content to moral judgments. One such author is Neil Sinclair, who has offered a blueprint for how to conduct teleosemantic metaethics with the help of moral adaptationism. In this paper, I (...) argue that the prospects for assigning descriptive content to moral judgments on the basis of teleosemantics are bad. I develop my argument in dialogue with Sinclair’s paper and argue that, although Sinclair’s account of the evolution of morality is plausible, the teleosemantic account of the descriptive content of moral judgments which he bases thereon suffers from crucial shortcomings. I argue further that, given some minimal plausible assumptions about the evolution of morality made by Sinclair, no assignment of descriptive content is possible. Contrary to prevailing assumptions, the combination of moral adaptationism and teleosemantics suggests that moral judgments lack descriptive content. (shrink)

Consider the existence of six identical trees of the same species across a variety of environments. The first tree is in a wild and isolated landscape. The second is in a wilderness park. The third is in a heavily forested “tree plantation” owned by International Paper. The fourth is in the Ramble in Central Park. The fifth is in a suburban yard. The sixth is inside the six-story atrium of a Manhattan skyscraper. This paper begins with the intuition that the (...) identical trees have different values because they exist in different environments and biological-social contexts. To understand the different evaluations of the trees we must think along a spectrum that incorporates both axiology and ontology. This thought experiment is useful in exploring arguments about both the management and the preservation of the natural world. The conclusion is that we must think along a spectrum of natural being and value to understand the dualism between humanity and nature and thereby avoid the domination of the natural environment. (shrink)

Anthony Weston has criticized the place of “inttinsic value” in the development of an environmental ethic, and he has urged a “pragmatic shift” toward a plurality of values based on human desires and experiences. I argue that Weston is mistaken for two reasons: (1) his view of the methodology of environmental ethics is distorted: the intrinsic value of natural entities is not the ground of all moral obligations regarding the environment; and (2) his pragmatic theory of value is too anthropocentric (...) and subjective for the development of a secure and reliable environmental ethic. The obligation to protect the natural environment should not be based on certain “correct” experiences of humans as they interact with wild nature. (shrink)

Because of the “problem of individual causal inefficacy,” it has been difficult to explain why a purchase that will make little to no difference to a producer’s wrongdoing is itself morally wrong. Some have recently appealed to the concept of complicity in order to support the idea that consumers have a moral reason to avoid purchasing from companies engaged in wrongdoing. In this paper, I contribute to the development of this direction in consumer ethics. First, I explore how we should (...) define moral complicity in such situations. Some have claimed that an individual’s purchase makes her complicit, even though it makes no difference to the wrongdoing, because she is still knowingly joining in with the wrong that the company or other consumers are doing. I argue, however, that it is difficult to see making a purchase as a form of joining in a joint or group action. Instead, I respond to the causal inefficacy problem directly. I argue that even when the outcome is massively overdetermined, an individual purchase still makes a causal contribution to the principal wrongdoing and thus a basic condition for an act of moral complicity is met. Yet, this does not resolve the deeper question of whether and why consumers should morally avoid purchases that make them complicit in these cases. The issue is with how small the causal contribution such an individual purchase makes. That is, an individual purchase in such a situation may only make one a little bit complicit. I argue that for the concept of moral complicity to gain traction here, we will have to appeal to normative concerns besides the outcome of the complicit action. Still, even with this account, purchases in such overdetermination cases may not often be all things considered wrong because the reasons against them may be outweighed by other relevant reasons. (shrink)

This paper sets Kant in the broader context of modern philosophy as a whole by suggesting that Kant not be understood primarily as attempting to i) defeat skepticism, ii) promote “scientism”, or iii) develop a radically new ontology. It suggests that Kant’s philosophy aims to take the claims of common sense at face value and then attempts to mediate between such claims and the apparently conflicting claims of science. Accordingly, philosophy is a systematic articulation of the sphere of conceptual frameworks (...) that mediate between the extremely informal and the highly formal levels of judgment within our complex objective picture of the world. Thus, for Kant, philosophy lies in between common sense and science by attempting to mediate between them. (shrink)