We make a more systematic study of the van Douwen diagram for cardinal coefficients related to combinatorial properties of partitions of natural numbers.

In this article we give a unifying approach to the theory of fundamental sequences and their related Hardy hierarchies of number-theoretic functions and we show the equivalence of the new approach with the classical one.

When one encounters disagreement about the truth of a factual claim from a trusted advisor who has access to all of one's evidence, should that move one in the direction of the advisor's view? Conciliatory views on disagreement say "yes, at least a little." Such views are extremely natural, but they can give incoherent advice when the issue under dispute is disagreement itself. So conciliatory views stand refuted. But despite first appearances, this makes no trouble for *partly* conciliatory views: views (...) that recommend giving ground in the face of disagreement about many matters, but not about disagreement itself. (shrink)

The claim of this paper is that the everyday functions of knowledge make most sense if we see knowledge as contrastive. That is, we can best understand how the concept does what it does by thinking in terms of a relation “a knows that p rather than q.” There is always a contrast with an alternative. Contrastive interpretations of knowledge, and objections to them, have become fairly common in recent philosophy. The version defended here is fairly mild in that there (...) is no suggestion that we cannot think in terms of a simpler not explicitly contrastive relation “a knows that p.” Some, for instance Schaffer (2005) and Karjalainen and Morton (2003), have hinted that this stronger possibility may be right. But all that I am arguing now is that facts that are easily expressed in contrastive terms are vital to understanding why we need the concept of knowledge. In a piece that is in some ways a companion to this one ("Contrastivism" in Duncan Pritchard and Sven Bernecker, eds. The Routledge Companion to Epistemology. Routledge 2010, 513-522), I give a general survey of theories of contrastive knowledge and the differences between them. (shrink)

Many favor representationalism about color experience. To a first approximation, this view holds that experiencing is like believing. In particular, like believing, experiencing is a matter of representing the world to be a certain way. Once you view color experience along these lines, you face a big question: do our color experiences represent the world as it really is? For instance, suppose you see a tomato. Representationalists claim that having an experience with this sensory character is necessarily connected with representing (...) a distinctive quality as pervading a round area out there in external space. Let us call it “sensible redness” to highlight the fact that the representation of this property is necessarily connected with the sensory character of the experience. Is this property, sensible redness, really co-instantiated with roundness out there in the space before you? (shrink)

In order to predict and explain behavior, one cannot specify the mental state of an agent merely by saying what information she possesses. Instead one must specify what information is available to an agent relative to various purposes. Specifying mental states in this way allows us to accommodate cases of imperfect recall, cognitive accomplishments involved in logical deduction, the mental states of confused or fragmented subjects, and the difference between propositional knowledge and know-how .

Some philosophical theories of the nature of color aim to respect a "common sense" conception of color: aligning with the common sense conception is supposed to speak in favor of a theory and conflicting with it is supposed to speak against a theory. In this paper, we argue that the idea of a "common sense" conception of color that philosophers of color have relied upon is overly simplistic. By drawing on experimental and historical evidence, we show how conceptions of color (...) vary along several dimensions and how even supposedly "core" components of the contemporary "common sense" conception of color are less stable than they have been thought to be. (shrink)

In this paper, I do a few things. I develop a (largely) empirical argument against naïve realism (Campbell, Martin, others) and for representationalism. I answer Papineau’s recent paper “Against Representationalism (about Experience)”. And I develop a new puzzle for representationalists.

Quantum mechanics is humanity's finest scientific achievement. It explains why the sun shines and how your eyes can see. It's the theory behind the LEDs in your phone and the nuclear hearts of space probes. Every physicist agrees quantum physics is spectacularly successful. But ask them what quantum physics means, and the result will be a brawl. At stake is the nature of the Universe itself. What does it mean for something to be real? What is the role of consciousness (...) in the Universe? And do quantum rules apply to very small objects like electrons and protons, but not us? In What is Real?, Adam Becker brings to vivid life the brave researchers whose quest for the truth led them to challenge Bohr: David Bohm, who picked up Einstein's mantle and sought to make quantum mechanics deterministic, all while being hounded by the forces of McCarthyism; Hugh Everett, who argued that everything, big and small, must be governed by the same rules; and John Bell, who went to great lengths to eradicate the power of the god-like observer from the core of quantum physics. And they paid dearly, their reputations, careers, and sometimes lives ruined completely. But history has been kinder to them than their contemporaries were. As Becker shows, the brave intellectual giants have inspired a growing army of physicists and philosophers intent both on making a philosophically more satisfying theory of the universe and a more useful one as well. A gripping story of some of humanity's greatest ideas and the high cost with which many have pursued them, What is Real? is intellectual history at its passionate best. (shrink)

The Carol J. Adams Reader gathers together Adams's foundational and recent articles in the fields of critical studies, animal studies, media studies, vegan studies, ecofeminism and feminism, as well as relevant interviews and conversations in which Adams identifies key concepts and new developments in her decades-long work. This volume, a companion to The Sexual Politics of Meat (Bloomsbury Revelations), offers insight into a variety of urgent issues for our contemporary world: Why do batterers harm animals? What is the relationship between (...) genocide and attitudes toward other animals? How do activism and theory feed each other? How do race, gender, and species categories interact in strengthening oppressive attitudes? In clear language, Adams identifies the often hidden aspects of cultural presumptions. The essays and conversations found here capture the decades-long energy and vision that continue to shape new ways of thinking about and responding to oppression. (shrink)

Let J be any proper ideal of subsets of the real line R which contains all finite subsets of R. We define an ideal J * ∣B as follows: X ∈ J * ∣B if there exists a Borel set $B \subset R \times R$ such that $X \subset B$ and for any x ∈ R we have $\{y \in R: \langle x,y\rangle \in B\} \in \mathscr{J}$ . We show that there exists a family $\mathscr{A} \subset \mathscr{J}^\ast\mid\mathscr{B}$ of power ω (...) 1 such that $\bigcup\mathscr{A} \not\in \mathscr{J}^\ast\mid\mathscr{B}$ . In the last section we investigate properties of ideals of Lebesgue measure zero sets and meager sets in Cohen extensions of models of set theory. (shrink)

The termination of rewrite systems for parameter recursion, simple nested recursion and unnested multiple recursion is shown by using monotone interpretations both on the ordinals below the first primitive recursively closed ordinal and on the natural numbers. We show that the resulting derivation lengths are primitive recursive. As a corollary we obtain transparent and illuminating proofs of the facts that the schemata of parameter recursion, simple nested recursion and unnested multiple recursion lead from primitive recursive functions to primitive recursive functions.

How best to think about quantum systems under permutation invariance is a question that has received a great deal of attention in the literature. But very little attention has been paid to taking seriously the proposal that permutation invariance reflects a representational redundancy in the formalism. Under such a proposal, it is far from obvious how a constituent quantum system is represented. Consequently, it is also far from obvious how quantum systems compose to form assemblies, i.e. what is the formal (...) structure of their relations of parthood, overlap and fusion. In this paper, I explore one proposal for the case of fermions and their assemblies. According to this proposal, fermionic assemblies which are not entangled—in some heterodox, but natural sense of ‘entangled’—provide a prima facie counterexample to classical mereology. This result is puzzling; but, I argue, no more intolerable than any other available interpretative option. (shrink)

The problem of trust in social relationships was central to the emergence of the modern form of civil society and much discussed by social and political philosophers of the early modern period. Over the past few years, in response to the profound changes associated with postmodernity, trust has returned to the attention of political scientists, sociologists, economists, and public policy analysts. In this sequel to his widely admired book, The Idea of Civil Society, Adam Seligman analyzes trust as a (...) fundamental issue of our present social relationships. Setting his discussion in historical and intellectual context, Seligman asks whether trust--which many contemporary critics, from Robert Putnam through Francis Fukuyama, identify as essential in creating a cohesive society--can continue to serve this vital role. Seligman traverses a wide range of examples, from the minutiae of everyday manners to central problems of political and economic life, showing throughout how civility and trust are being displaced in contemporary life by new "external' system constraints inimical to the development of trust. Disturbingly, Seligman shows that trust is losing its unifying power precisely because the individual, long assumed to be the ultimate repository of rights and values, is being reduced to a sum of group identities and an abstract matrix of rules. The irony for Seligman is that, in becoming postmodern, we seem to be moving backward to a premodern condition in which group sanctions rather than trust are the basis of group life. (shrink)

Discusses recent work on representationalism, including: the case for a representationalist theory of consciousness, which explains consciousness in terms of content; rivals such as neurobiological type-type identity theory (Papineau, McLaughlin) and naive realism (Allen, Campbell, Brewer); John Campbell and David Papineau's recent objections to representationalism; the problem of the "laws of appearance"; externalist vs internalist versions of representationalism; the relation between representationalism and the mind-body problem.

We discuss in the paper the following problem: Given a function in a given Baire class, into "how many" (in terms of cardinal numbers) functions of lower classes can it be decomposed? The decomposition is understood here in the sense of the set-theoretical union.

The foundation for a system of morals, this 1749 work is a landmark of moral and political thought. Its highly original theories of conscience, moral judgment, and virtue offer a reconstruction of the Enlightenment concept of social science, embracing both political economy and theories of law and government.

By B2 we denote the σ-ideal of all subsets A of the Cantor set {0,1}ω such that for every infinite subset T of ω the restriction A∣{0,1}T is a proper subset of {0,1}T. In this paper we investigate set theoretical properties of this and similar ideals.

Toward an ontology of the social-historical -- Proto-institutions and epistemological encounters -- Anthropological aspects of subjectivity: the radical imagination -- Hermeneutical horizons of meaning -- The rediscovery of physis -- Objective knowledge in review -- Rethinking the world of the living being -- Reimaging cosmology -- Conclusion: the circle of creation.

This paper considers the possibility that ‘epistemic hypocrisy’ could be relevant to our blaming practices. It argues that agents who culpably violate an epistemic norm can lack the standing to blame other agents who culpably violate similar norms. After disentangling our criticism of epistemic hypocrites from various other fitting responses, and the different ways some norms can bear on the legitimacy of our blame, I argue that a commitment account of standing to blame allows us to understand our objections to (...) epistemic hypocrisy. Agents lack the epistemic standing to blame when they are not sufficiently committed to the epistemic norms they are blaming others for violating. This not only gives us a convincing account of epistemic standing to blame, it leaves us with a unified account of moral and epistemic standing. (shrink)

By $\mathfrak{B}_2$ we denote the $\sigma$-ideal of all subsets $A$ of the Cantor set $\{0,1\}^\omega$ such that for every infinite subset $T$ of $\omega$ the restriction $A\mid\{0,1\}^T$ is a proper subset of $\{0,1\}^T$. In this paper we investigate set theoretical properties of this and similar ideals.

A scholarly edition of a work by Adam Smith. The edition presents an authoritative text, together with an introduction, commentary notes, and scholarly apparatus.

This paper introduces a novel strategy for responding to skeptical arguments based on the epistemic possibility of error or lack of certainty. I show that a nonclassical logic motivated by recent work on epistemic modals can be used to render such skeptical arguments invalid. That is, one can grant that knowledge is incompatible with the possibility of error and grant that error is possible, all while avoiding the skeptic’s conclusion that we lack knowledge.

The book analyzes the sources of widespread dissatisfaction with democracies around the world and identifies directions for feasible reforms"--Provided by publisher.

In this essay, we draw on John Haugeland’s work in order to argue that Burge is wrong to think that exercises of perceptual constancy mechanisms suffice for perceptual representation. Although Haugeland did not live to read or respond to Burge’s Origins of Objectivity, we think that his work contains resources that can be developed into a critique of the very foundation of Burge’s approach. Specifically, we identify two related problems for Burge. First, if (what Burge calls) mere sensory responses are (...) not representational, then neither are exercises of constancy mechanisms, since the differences between them do not suffice to imply that one is representational and the other is not. Second, taken by themselves, exercises of constancy mechanisms are only derivatively representational, so merely understanding how they work is not sufficient for understanding what is required for something, in itself, to be representational (and thereby provide a full solution to the problem of perceptual representation). (shrink)

This book offers a novel account of grace, framed in terms of Bruno Latour's "principle of irreduction.

In January 1975, Michel Foucault contemplated the nature and formation of what in subsequent years he would come to know as governmentality. For Foucault, plague marks the rise of the invention of positive technologies of power, where these relations center around inclusion, multiplication, and security, rather than exclusion, negation, and rejection. In a point that might at first seem ancillary to his central argument, Foucault comments on stylized works about plague, such as those, according to the lecture series’ editors, exemplified (...) by Albert Camus. In footnote fifteen of the January 15, 1975 lecture, in reference to what Foucault deemed the “literary dream of” plagues, the editors list Camus’ 1947 novel La Peste, among other works, as representative of what Foucault described as “a kind of orgiastic dream in which plague is the moment when individuals come apart and when the law is forgotten.”. This article places Camus’ novel and other works in conversation with Foucault on governmentality, subjectivation, and truth to demonstrate the ways in which individualism itself can be viewed biopolitically. In so doing, it offers an urgent intervention that speaks powerfully to and is exemplified by the current global pandemic. Plague serves both as this literary dream and as a discursive mechanism engaged simultaneously with regimes of truth and the individuals constructing them. By pairing Foucault’s historical understanding of the invention of positive technologies of power with Camus’ treatment of “the absurd” in and out of the plague context, one uncovers the interrelation of governmentality, subjectivation, and truth. (shrink)

In two experiments, we demonstrate that intentional action intuitions vary as a function of whether one brings about or observes an event. In experiment 1a (N?=?38), participants were less likely to judge that they intended (M?=?2.53, 7 point scale) or intentionally (M?=?2.67) brought about a harmful event compared to intention (M?=?4.16) and intentionality (M?=?4.11) judgments made about somebody else. Experiments 1b and 1c confirmed and extended this pattern of actor-observer differences. Experiment 2 suggested that these actor-observer differences are not likely (...) to occur when participants are asked to ?imagine? being an actor. We argue that these results challenge the substantial philosophical and empirical reliance on hypothetical thought examples about intentional action. Our data offer new and necessary methodological avenues for understanding folk intentional action intuitions. (shrink)

This thoughtful new abridgment is enriched by the brilliant commentary which accompanies it. In it, Laurence Dickey argues that the _Wealth of Nations_ contains--and conceals--a great deal of how Smith actually thought a commercial society works. Guided by his conviction that the so-called Adam Smith Problem--the relationship between ethics and economics in Smith's thinking--is a core element in the argument of the work itself, Dickey's commentary focuses on the devices Smith uses to ground his economics in broadly ethical and (...) social categories. An unparalleled guide to an often difficult and perplexing work. (shrink)

In this paper I attempt to address what appears to be a novel theoretical and practical problem concerning physician-assisted suicide (PAS). This problem arises out of a newly created set of circumstances in which persons are hospitalized in jurisdictions where PAS, though now legally available to patients, remains morally contentious. When moral disagreements over PAS come to divide physicians, patients, and family members, it is quite likely they will today find their way to the hospital’s consulting ethicist, a member of (...) an emerging group of professionals charged with the responsibility (so we are told) of resolving moral conflict in the clinic. What can or should an ethics consultant do to fulfill this mandate in such circumstances? I argue that the now predominant conception of clinical ethics consultation is importantly deficient in that it provides no final guidance to ethicists on how they should respond in such cases. The ethicist may only recommend—or assist others to reach—solutions to moral disagreements falling within the limits of established norms. Since the normative landscape of PAS appears to be changing, whether it falls within these limits is unsettled. I conclude that the accepted goals of ethics consultation require a revised and expanded conception of the ethicist's role in cases involving PAS. I close by outlining what that revised understanding would look like and the further questions it raises. (shrink)

“Moorean Dogmatist” responses to external world skepticism endorse courses of reasoning that many people find objectionable. This paper seeks to locate this dissatisfaction in considerations about epistemic responsibility. I sketch a theory of immediate warrant and show how it can be combined with plausible “inferential internalist” demands arising from considerations of epistemic responsibility. The resulting view endorses immediate perceptual warrant but forbids the sort of reasoning that “Moorean Dogmatism” would allow. A surprising result is that Dogmatism’s commitment to immediate epistemic (...) warrant isn’t enough to avoid certain standard arguments for skepticism about the external world. (shrink)

In this article we consider linear isomorphisms over the field of rational numbers between the linear spaces ℝ2 and ℝ. We prove that if f is such an isomorphism, then the image by f of the unit disk is a strictly nonmeasurable subset of the real line, which has different properties than classical non-measurable subsets of reals. We shall also consider the question whether all images of bounded measurable subsets of the plane via a such mapping are non-measurable.

Let F be a signature and R a strictly orthogonal rewrite system on ground terms of F . We give an effective proof of a bounding condition for R , based on a detailed analysis of how terms are transformed during the rewrite process, which allows us to give recursive bounds on the derivation lengths of terms. We give a syntactic characterisation of the Grzegorczyk hierarchy and a rewriting schema for calculating its functions. As a consequence of this, using results (...) of Elias Tahhan–Bittar, it can be shown that, for n⩾3 , the derivation length functions for functions in Grzegorczyk class E n belong to Grzegorczyk class E n+1 . We also give recursive bounds for the derivation lengths of functions defined by parameter recursion. (shrink)

This chapter provides empirical evidence about everyday attitudes concerning euthanasia. These attitudes have important implications for some ethical arguments about euthanasia. Two experiments suggested that some different descriptions of euthanasia have modest effects on people’s moral permissibility judgments regarding euthanasia. Experiment 1 (N = 422) used two different types of materials (scenarios and scales) and found that describing euthanasia differently (‘euthanasia’, ‘aid in dying’, and ‘physician assisted suicide’) had modest effects (≈3 % of the total variance) on permissibility judgments. These (...) effects were largely replicated in Experiment 2 (N = 409). However, in Experiment 2, judgments about euthanasia’s moral permissibility were best predicted by the voluntariness of the treatment. Voluntariness was a stronger predictor than some demographic factors and some domain general elements of moral judgments. These results help inform some debates about the moral permissibility of euthanasia (e.g., the slippery slope argument) suggesting that some of the key premises of those arguments are unwarranted. (shrink)

This paper addresses ethical questions surrounding death given imagined but not unlikely technological advancements in the near future. For example, how will highly detailed interactive simulations of deceased personalities affect the way we deal with dying and interact with the dead? Most cultures have at least a vague sense of duties to the dead, and many of these duties are related to the memorial preservation of decedents. I worry that our advances might be paralleled by a deteriorating grasp of what (...) proper preservation is all about. With the phenomenological assistance of the 19th and 20th century philosophers Søren Kierkegaard, Martin Heidegger, and Jean-Paul Sartre, we can get a sense of some potential problems for what we ordinarily call ‘progress’. (shrink)

The purpose of this paper is to examine the relationship between naturalism and morality and to assess their compatibility. Naturalism is defined as respect for science, for its methods and results. From this respect for science, one can infer two distinct philosophical naturalisms: the methodological and the metaphysical. The relationship between these forms of naturalism and morality depends on the correct conception of morality. This paper differentiates between objectively realistic conception and all other conceptions and argues that while other conceptions (...) can easily fit morality into a naturalistic worldview, objectively realistic conception faces theoretical challenges, including the challenge of explaining how moral facts and concepts play an explanatory role and the challenge of bridging the is/ought gap. The paper focuses on Railton's ethical naturalism as a prominent naturalistic theory of morality and evaluates its ability to overcome these challenges. The conclusion is that, so long as we consider a theory like Railton's, naturalism and realistically conceived morality are incompatible. (shrink)

The author offers a comprehensive interpretation of Aquinas's claim that the human intellect is immaterial and assessment of his arguments on behalf of this claim, also positioning Aquinas's thought alongside recent work in hylomorphic metaphysics and philosophy of mind.

The Platonic strain -- The Epicurean strain -- Kierkegaard's death project -- Kierkegaard's appropriation and criticism of the tradition -- Death in Being and time -- Heidegger's reception of Kierkegaard : the existential philosophy of death -- The limits and legacy of the existential philosophy of death.