Number words seemingly function both as adjectives attributing cardinality properties to collections, as in Frege’s ‘Jupiter has four moons’, and as names referring to numbers, as in Frege’s ‘The number of Jupiter’s moons is four’. This leads to what Thomas Hofweber calls Frege’s Other Puzzle: How can number words function as modifiers and as singular terms if neither adjectives nor names can serve multiple semantic functions? Whereas most philosophers deny that one of these uses is genuine, we instead argue (...) that number words, like many related expressions, are polymorphic, having multiple uses whose meanings are systematically related via type shifting. (shrink)

In this paper, we outline and critically evaluate Thomas Hofweber’s solution to a semantic puzzle he calls Frege’s Other Puzzle. After sketching the Puzzle and two traditional responses to it—the Substantival Strategy and the Adjectival Strategy—we outline Hofweber’s proposed version of Adjectivalism. We argue that two key components—the syntactic and semantic components—of Hofweber’s analysis both suffer from serious empirical difficulties. Ultimately, this suggests that an altogether different solution to Frege’s Other Puzzle is required.

This is a largely expository review of Thomas Polger’s and Laurence Shapiro’s The Multiple Realization Book (Oxford Press 2016).

_The Multiple Realization Book_By PolgerThomas W. and ShapiroLawrence A.Oxford University Press, 2016. xiv + 258 pp. £71.14 cloth, £18.99 paper.

Thomas Polger and Laurence Shapiro argue that Carl Gillett's much publicized dimensioned theory of realization is incoherent, being subject to a reductio. Their argument turns on the fact that Gillett's definition of realization makes property instances the exclusive relata of the realization relation, while his belief in multiple realization implies its denial, namely, that properties are the relata of the realization relation on occasions of multiple realization. Others like Sydney Shoemaker have also expressed their view of realization in (...) terms of property instances, yet they too have accepted the multiple realizability of properties. Thus I am interested in the more general issue raised by Polger and Shapiro's argument. Specifically, I show how to supplement a theory of realization with a category-inclusive auxiliary assumption, which avoids the stated reductio. I then offer a few reasons to justify the proposed category-inclusive view of realization, making some comparisons to supervenience and causation along the way. (shrink)

Review of *New Essays on the A Priori*, an excellent collection edited by Paul Boghossian and Christopher Peacocke. Contributors include: Tyler Burge; Quassim Cassam; Philip Kitcher; Penelope Maddy; Hartry Field; Paul Horwich; Peter Railton; Stephen Yablo; Bob Hale; Crispin Wright; Frank Jackson; Stewart Shapiro; Michael Friedman; Martin Davies; Bill Brewer; and Thomas Nagel.

The present work consists of a discussion about the concept of real number in Frege. It is intended to explain how Frege tries to define the real numbers, highlighting the importance that the notion of “magnitude-ratio” plays in this definition. In Part III, in Volume II of the Grundgesetze der Arithmetik (1903) (from now on only: Grundgesetze), Frege presents his theory of real numbers, which is followed by a long criticism of the real number theories in force at that time, (...) such as by Cantor, Dedekind, Thomae and Weierstrass. In view of this, to fulfill our purpose, we will examine the text only where Frege presents his own theory of real numbers (the informal presentation) (§§156-164). Frege's criticisms of previous theories will not be examined in detail, unless an introduction to his criticism of formalism, in order to elucidate such criticism. Thus, only the part in which the philosopher presents his own conception of real numbers will be analyzed. To support the discussion, authors Peter Simons, Eric Snyder and Stewart Shapiro will be used. (shrink)

Hofweber (Ontology and the ambitions of metaphysics, Oxford University Press, 2016) argues for a thesis he calls “internalism” with respect to natural number discourse: no expressions purporting to refer to natural numbers in fact refer, and no apparent quantification over natural numbers actually involves quantification over natural numbers as objects. He argues that while internalism leaves open the question of whether other kinds of abstracta exist, it precludes the existence of natural numbers, thus establishing what he calls “restricted nominalism” about (...) natural numbers. We argue that Hofweber’s internalism fails to establish restricted nominalism. Not only is his primary argument for restricted nominalism invalid, the analysis of quantification proposed threatens to collapse internalism into either a traditional form of error theory or realism. (shrink)

Forty years’ experience as a bacterial geneticist has taught me that bacteria possess many cognitive, computational and evolutionary capabilities unimaginable in the first six decades of the twentieth century. Analysis of cellular processes such as metabolism, regulation of protein synthesis, and DNA repair established that bacteria continually monitor their external and internal environments and compute functional outputs based on information provided by their sensory apparatus. Studies of genetic recombination, lysogeny, antibiotic resistance and my own work on transposable elements revealed multiple (...) widespread bacterial systems for mobilizing and engineering DNA molecules. Examination of colony development and organization led me to appreciate how extensive multicellular collaboration is among the majority of bacterial species. Contemporary research in many laboratories on cell–cell signaling, symbiosis and pathogenesis show that bacteria utilise sophisticated mechanisms for intercellular communication and even have the ability to commandeer the basic cell biology of ‘higher’ plants and animals to meet their own needs. This remarkable series of observations requires us to revise basic ideas about biological information processing and recognise that even the smallest cells are sentient beings. (shrink)

With recent advancements in systems engineering and artificial intelligence, autonomous agents are increasingly being called upon to execute tasks that have normative relevance. These are tasks that directly—and potentially adversely—affect human well-being and demand of the agent a degree of normative-sensitivity and -compliance. Such norms and normative principles are typically of a social, legal, ethical, empathetic, or cultural nature. Whereas norms of this type are often framed in the abstract, or as high-level principles, addressing normative concerns in concrete applications of (...) autonomous agents requires the refinement of normative principles into explicitly formulated practical rules. This paper develops a process for deriving specification rules from a set of high-level norms, thereby bridging the gap between normative principles and operational practice. This enables autonomous agents to select and execute the most normatively favourable action in the intended context premised on a range of underlying relevant normative principles. In the translation and reduction of normative principles to SLEEC rules, we present an iterative process that uncovers normative principles, addresses SLEEC concerns, identifies and resolves SLEEC conflicts, and generates both preliminary and complex normatively-relevant rules, thereby guiding the development of autonomous agents and better positioning them as normatively SLEEC-sensitive or SLEEC-compliant. (shrink)

Building on recent work, I present sequent systems for the non-classical logics LP, K3, and FDE with two main virtues. First, derivations closely resemble those in standard Gentzen-style systems. Second, the systems can be obtained by reformulating a classical system using nonstandard sequent structure and simply removing certain structural rules (relatives of exchange and contraction). I clarify two senses in which these logics count as “substructural.”.

Transdisciplinary research knits together knowledge from diverse epistemic communities in addressing social-environmental challenges, such as biodiversity loss, climate crises, food insecurity, and public health. This paper reflects on the roles of philosophy of science in transdisciplinary research while focusing on Indigenous and other subaltern forms of knowledge. We offer a critical assessment of demarcationist approaches in philosophy of science and outline a constructive alternative of transdisciplinary philosophy of science. While a demarcationist focus obscures the complex relations between epistemic communities, transdisciplinary (...) philosophy of science provides resources for meeting epistemic and political challenges of collaborative knowledge production. (shrink)

Cognitive agents, whether human or computer, that engage in natural-language discourse and that have beliefs about the beliefs of other cognitive agents must be able to represent objects the way they believe them to be and the way they believe others believe them to be. They must be able to represent other cognitive agents both as objects of beliefs and as agents of beliefs. They must be able to represent their own beliefs, and they must be able to represent beliefs (...) as objects of beliefs. These requirements raise questions about the number of tokens of the belief representation language needed to represent believers and propositions in their normal roles and in their roles as objects of beliefs. In this paper, we explicate the relations among nodes, mental tokens, concepts, actual objects, concepts in the belief spaces of an agent and the agent's model of other agents, concepts of other cognitive agents, and propositions. We extend, deepen, and clarify our theory of intensional knowledge representation for natural-language processing, as presented in previous papers and in light of objections raised by others. The essential claim is that tokens in a knowledge-representation system represent only intensions and not extensions. We are pursuing this investigation by building CASSIE, a computer model of a cognitive agent and, to the extent she works, a cognitive agent herself. CASSIE's mind is implemented in the SNePS knowledge-representation and reasoning system. (shrink)

Two currently much discussed views about truth, truth pluralism and truth relativism, are found in Sellars’s writings. I show that his motivations for adoping these views are interestingly different from those shared by most of their recent advocates. First, I explain how Sellars comes to embrace a version of truth pluralism. I argue that his version overcomes a difficulty confronting pluralists, albeit at a serious cost. Then I argue that Sellars’s truth pluralism isn’t motivated by his interest in domains of (...) discourse beyond the “matter-of-factual.” Rather, the key to his truth pluralism, his analysis of truth as “semantical assertibility,” is motivated by the same consideration that leads him to adopt truth relativism. This is his interest in applying semantic notions to discourse that embodies conceptual structures other than ours. Despite their common motivation, I conclude that Sellars’s relativism is independent of, and indeed stands in tension with, the analysis of truth that underlies his pluralism. (shrink)

According to traditional logical expressivism, logical operators allow speakers to explicitly endorse claims that are already implicitly endorsed in their discursive practice — endorsed in virtue of that practice’s having instituted certain logical relations. Here, I propose a different version of logical expressivism, according to which the expressive role of logical operators is explained without invoking logical relations at all, but instead in terms of the expression of discursive-practical attitudes. In defense of this alternative, I present a deflationary account of (...) the expressive role of vocabulary by which we ascribe logical relations. (shrink)

Locke's claims about the "inadequacy" of substance-ideas can only be understood once it is recognized that the "sort" represented by such an idea is not wholly determined by the idea's descriptive content. The key to his compromise between classificatory conventionalism and essentialism is his injunction to "perfect" the abstract ideas that serve as "nominal essences." This injunction promotes the pursuit of collections of perceptible qualities that approach ever closer to singling out things that possess some shared explanatory-level constitution. It is (...) in view of this norm regulating natural-historical inquiry that a substance-idea represents a sort for which some such constitution serves as the "real essence," i.e. as that on which all the sort's characteristic "properties" depend. (shrink)

This paper summarizes (in German) recent tendencies in the philosophy of the life sciences.

Author: Thomas Sören Hoffmann. Translated by Pedro Sepúlveda Zambrano.

Climate change, pollution, and deforestation have a negative impact on global mental health. There is an environmental justice dimension to this challenge as wealthy people and high-income countries are major contributors to climate change and pollution, while poor people and low-income countries are heavily affected by the consequences. Using state-of-the art data mining, we analyzed and visualized the global research landscape on mental health, climate change, pollution and deforestation over a 15-year period. Metadata of papers were exported from PubMed®, and (...) both relevance and relatedness of terms in different time frames were computed using VOSviewer. Co-occurrence graphs were used to visualize results. The development of exemplary terms over time was plotted separately. The number of research papers on mental health and environmental challenges is growing in a linear fashion. Major topics are climate change, chemical pollution, including psychiatric medication in wastewater, and neurobiological effects. Research on specific psychiatric syndromes and diseases, particularly on their ethical and social aspects is less prominent. There is a growing body of research literature on links between mental health, climate change, pollution, and deforestation. This research provides a graphic overview to mental healthcare professionals and political stakeholders. Social and ethical aspects of the climate change-mental health link have been neglected, and more research is needed. (shrink)

SNePS, the Semantic Network Processing System 45, 54], has been designed to be a system for representing the beliefs of a natural-language-using intelligent system (a \cognitive agent"). It has always been the intention that a SNePS-based \knowledge base" would ultimatelybe built, not by a programmeror knowledge engineer entering representations of knowledge in some formallanguage or data entry system, but by a human informing it using a natural language (NL) (generally supposed to be English), or by the system reading books or (...) articles that had been prepared for human readers. Because of this motivation, the criteria for the development of SNePS have included: it should be able to represent anything and everything expressible in NL; it should be able to represent generic, as well as speci c information; it should be able to use the generic and the speci c information to reason and infer information implied by what it has been told; it cannot count on any particular order among the pieces of information it is given; it must continue to act reasonably even if the information it is given includes circular de nitions, recursive rules, and inconsistent information. (shrink)

The authors developed this textbook in response to an increasing interest in ethics, and a growing number of courses on this topic that are now being offered in educational leadership programs. It is designed to fill a gap in instructional materials for teaching the ethics component of the knowledge base that has been established for the profession. The text has several purposes: First, it demonstrates the application of different ethical paradigms (the ethics of justice, care, critique, and the profession) through (...) discussion and analysis of real-life moral dilemmas that educational leaders face in their schools and communities. Second, it addresses some of the practical, pedagogical, and curricular issues related to the teaching of ethics for educational leaders. Third, it emphasizes the importance of ethics instruction from a variety of theoretical approaches. Finally, it provides a process that instructors might follow to develop their own ethics unit or course. * Part I provides an overview of why ethics is so important, especially for today's educational leaders, and describes a multiparadigm approach essential to practitioners as they grapple with ethical dilemmas. * Part II deals with the dilemmas themselves. Ethical dilemmas written by the authors' graduate students bring readers face-to-face with the kinds of dilemmas faced by practicing administrators in urban, suburban, and rural settings in an era full of complexities and contradictions. * Part III focuses on pedagogy and provides teaching notes for the instructor. The authors discuss the importance of self-reflection on the part of both instructors and students, and model how they thought through their own personal and professional ethical codes as well as reflected upon the critical incidents in their lives that shaped their teaching and frequently determined what they privileged in class. (shrink)

Brandom's "inferentialism"—his theory that contentfulness consists in being governed by inferential norms—proves dubiously compatible with his own deflationary approach to intentional objectivity. This is because a deflationist argument, adapted from the case of truth to that of correct inference, undermines the criterion of adequacy Brandom employs in motivating inferentialism. Once that constraint is abandoned, moreover, the very constitutive-explanatory availability of Brandom's inferential norms becomes suspect. Yet Brandom intertwines inferentialism with a separate explanatory project, one that in explaining the pragmatic significance (...) of meaning-attributions does yield a convincing construal of the claim that the concept of meaning is normative. (shrink)

The role of evolutionary theory at the origin of life is an extensively debated topic. The origin and early development of life is usually separated into a prebiotic phase and a protocellular phase, ultimately leading to the Last Universal Common Ancestor. Most likely, the Last Universal Common Ancestor was subject to Darwinian evolution, but the question remains to what extent Darwinian evolution applies to the prebiotic and protocellular phases. In this review, we reflect on the current status of evolutionary theory (...) in origins of life research by bringing together philosophy of science, evolutionary biology, and empirical research in the origins field. We explore the various ways in which evolutionary theory has been extended beyond biology; we look at how these extensions apply to the prebiotic development of (proto)metabolism; and we investigate how the terminology from evolutionary theory is currently being employed in state-of-the-art origins of life research. In doing so, we identify some of the current obstacles to an evolutionary account of the origins of life, as well as open up new avenues of research. (shrink)

Cells are cognitive entities possessing great computational power. DNA serves as a multivalent information storage medium for these computations at various time scales. Information is stored in sequences, epigenetic modifications, and rapidly changing nucleoprotein complexes. Because DNA must operate through complexes formed with other molecules in the cell, genome functions are inherently interactive and involve two-way communication with various cellular compartments. Both coding sequences and repetitive sequences contribute to the hierarchical systemic organization of the genome. By virtue of nucleoprotein complexes, (...) epigenetic modifications, and natural genetic engineering activities, the genome can serve as a read-write storage system. An interactive informatic conceptualization of the genome allows us to understand the functional importance of DNA that does not code for protein or RNA structure, clarifies the essential multidirectional and systemic nature of genomic information transfer, and emphasizes the need to investigate how cellular computation operates in reproduction and evolution. (shrink)

According to dialectical disposition expressivism about conjunction, disjunction, and negation, the function of these connectives is to convey dispositions speakers have with respect to challenging and meeting challenges to assertions. This paper investigates the view’s implications for logic. An interpretation in terms of dialectical dispositions is proposed for the proof rules of a bilateral sequent system. Rules that are sound with respect to this interpretation can be seen as generating an intrinsic logic of dialectical dispo- sition expressivism. It is argued (...) that such a logic will be very weak —weaker than the intersection of minimal logic and FDE. (shrink)

Carl Gillett has defended what he calls the “dimensioned” view of the realization relation, which he contrasts with the traditional “flat” view of realization (2003, 2007; see also Gillett 2002). Intuitively, the dimensioned approach characterizes realization in terms of composition whereas the flat approach views realization in terms of occupiers of functional roles. Elsewhere we have argued that the general view of realization and multiple realization that Gillett advances is not able to discharge the theoretical duties of those relations ( (...) class='Hi'>Shapiro 2004, unpublished manuscript; Polger 2004, 2007, forthcoming). Here we focus on an internal objection to Gillett’s account and then raise some broader reasons to reject it. (shrink)

Existing research has shown that norm violations influence causal judgments, and a number of different models have been developed to explain these effects. One such model, the necessity/sufficiency model, predicts an interac- tion pattern in people’s judgments. Specifically, it predicts that when people are judging the degree to which a particular factor is a cause, there should be an interaction between (a) the degree to which that factor violates a norm and (b) the degree to which another factor in the (...) situation violates norms. A study of moral norms (N = 1000) and norms of proper functioning (N = 3000) revealed robust evidence for the predicted interaction effect. The implications of these patterns for existing theories of causal judgments is discussed. (shrink)

Bacteria do many things as organized populations. We have recently learned much about the molecular basis of intercellular communication among prokaryotes. Colonies display bacterial capacities for multicellular coordination which can be useful in nature where bacteria predominantly grow as films, chains, mats and colonies. E. coli colonies are organized into differentiated non-clonal populations and undergo complex morphogenesis. Multicellularity regulates many aspects of bacterial physiology, including DNA rearrangement systems. In some bacterial species, colony development involves swarming (active migration of cell groups). (...) Swarm colony development displays precise geometrical controls and periodic phenomena. Motile E. coli cells in semi-solid media form organized patterns due to chemotactic autoaggregation. On poor media, B. subtilis forms branched colonies using group motility and long-range chemical signalling. The significances of bacterial colony patterns thus reside in a deeper understanding of prokaryotic biology and evolution and in experimental systems for studying self-organization and morphogenesis. (shrink)

The translational research community, in general, and the Clinical and Translational Science Awards (CTSA) community, in particular, share the vision of repurposing EHRs for research that will improve the quality of clinical practice. Many members of these communities are also aware that electronic health records (EHRs) suffer limitations of data becoming poorly structured, biased, and unusable out of original context. This creates obstacles to the continuity of care, utility, quality improvement, and translational research. Analogous limitations to sharing objective data in (...) other areas of the natural sciences have been successfully overcome by developing and using common ontologies. This White Paper presents the authors’ rationale for the use of ontologies with computable semantics for the improvement of clinical data quality and EHR usability formulated for researchers with a stake in clinical and translational science and who are advocates for the use of information technology in medicine but at the same time are concerned by current major shortfalls. This White Paper outlines pitfalls, opportunities, and solutions and recommends increased investment in research and development of ontologies with computable semantics for a new generation of EHRs. (shrink)

This paper examines the pressures leading two very different Early Modern philosophers, Descartes and Locke, to invoke two ways in which thought is directed at objects. According to both philosophers, I argue, the same idea can simultaneously count as “of” two different objects—in two different senses of the phrase ‘idea of’. One kind of intentional directedness is invoked in answering the question What is it to think that thus-and-so? The other kind is invoked in answering the question What accounts for (...) the success of our proper methods of inquiry? For Descartes as well as Locke, the two kinds of “ofness” come apart as a result of strong rationalist commitments. However, I will suggest that even if we reject such commitments, we go wrong if we assume that a single kind of intentional directedness suffices to address both questions. (shrink)

The work of Thomas White represents a systematic attempt to combine the best of the new science of the seventeenth century with the best of Aristotelian tradition. This attempt earned him the criticism of Hobbes and the praise of Leibniz, but today, most of his attempts to navigate between traditions remain to be explored in detail. This paper does so for his ontology of accidents. It argues that his criticism of accidents in the category of location as entities over (...) and above substances was likely aimed at Francisco Suárez, and shows how White’s worries about the analysis of location were linked with his broader cosmological views. White rejects real qualities, but holds that the quantity of a substance is somehow distinct from its bearer. This reveals a common ground with some of his scholastic interlocutors, but lays bare a deep disagreement with thinkers like Descartes on the nature of matter. (shrink)

The 2013 Rostock Symposium on Systems Biology and Bioinformatics in Aging Research was again dedicated to dissecting the aging process using in silico means. A particular focus was on ontologies, as these are a key technology to systematically integrate heterogeneous information about the aging process. Related topics were databases and data integration. Other talks tackled modeling issues and applications, the latter including talks focussed on marker development and cellular stress as well as on diseases, in particular on diseases of kidney (...) and skin. (shrink)

GILBERT JEAN FACCARELLO (Paris, 1950) is professor of economics at Université Panthéon-Assas, Paris, and a member of the Triangle research centre (École Normale Supérieure de Lyon and CNRS). He is presently chair of the ESHET Council (European Society for the History of Economic Thought). He completed his doctoral research in economics at Université de Paris X Nanterre. He has previously taught at the Université de Paris-Dauphine, Université du Maine and École Normale Supérieure de Fontenay/Saint-Cloud (now École Normale Supérieure de Lyon). (...) He is a co-founder of The European Journal of the History of Economic Thought, which he co-edited for 20 years with J. L. Cardoso, Heinz D. Kurz, and A. Murphy. With Alain Béraud, he edited the Nouvelle histoire de la pensée économique (La Découverte, 3 volumes, 1992-2000) and, together with Heinz D. Kurz, he is presently editing a Handbook of the History of Economic Analysis (3 volumes, forthcoming with Edward Elgar). -/- EJPE interviewed Gilbert Faccarello about his research career in the history of economic thought, where he has focused especially on old and new classical and Marxian political economy, and French political economy during the 18th and 19th centuries. G. Faccarello discusses his interest not only in the logical structure and context of the economic ideas of past thinkers but also the links between economic thought, philosophy, and religion. (shrink)

In view of scholarly work that has explored the socio-psycho significance of national performativity, the body and the “other,” this article critically analyses newspaper representations of the Canadian-born British tennis player Greg Rusedski. Drawing on Lacanian interpretations of the body, it illustrates how Rusedski’s media framing centered on a particular feature of his body—his “smile.” In doing so, we detail how Rusedski’s “post-imperial” Otherness—conceived as a form of “extimacy” (extimité)—complicated any clear delineation between “us” and “them,” positing instead a dialectical (...) understanding of the splits, voids and contradictions that underscore the national “us.”. (shrink)

Is it possible for an individual that has gone out of being to come back into being again? The English Aristotelian, Thomas White, argued that it is not. Thomas Hobbes disagreed, and used the case of the Ship of Theseus to argue that individuals that have gone out of being may come back into being again. This paper provides the first systematic account of their arguments. It is doubtful that Hobbes has a consistent case against White. Still his (...) criticism may have prompted White to clarify his views on identity over time in his later work. (shrink)

Successful athletic performance requires precision in many respects. A batter stands behind home plate awaiting the arrival of a ball that is less than three inches in diameter and moving close to 100 mph. His goal is to hit it with a ba­­t that is also less than three inches in diameter. This impressive feat requires extraordinary temporal and spatial coordination. The sweet spot of the bat must be at the same place, at the same time, as the ball. A (...) basketball player must keep a ball bouncing as she speeds from one end of the court to another, evading defensive players. She may never break pace as she lifts from the ground, throwing the ball fifteen feet toward a hoop that is eighteen inches in diameter. One task facing a psychologist involves explaining how the body does such things within the sometimes very demanding spatial and temporal constraints that a given task imposes. Part of the goal of this chapter is to sketch the commitments of an embodied approach to such an explanation. We shall see that an embodied account of motor skills draws concepts that depart radically from more traditional cognitivist theories of motor activity. Similarly, because an embodied approach to cognition introduces new ways to understand the human capacity for social interaction, it also promises to shed new light on how athletes coordinate their actions with each other. (shrink)

Whipple disease is a rare, infectious, disease first described from a single case by Whipple in 1907. As well as characterising the clinical and pathological features of the condition, Whipple made two suggestions regarding its aetiology. These were either than the disease was caused by an infectious agent, or that it was of metabolic origin. As the disease is now thought to be caused by infection with the bacterium Tropheryma whipplei, historical reviews of the history of the disease typically mention (...) only the first of these suggestions. In this paper, we therefore revisit Whipple’s other theory. We argue that a diverse and often successful research programme was developed around this mechanism of disease causation which gave rise to many useful findings on the condition. In the later parts of this article, we then turn to discuss the surprising neglect of this period of Whipple disease research in the current literature, and conclude by offering a brief reconstruction of this early history suitable for use in a technical context. (shrink)

Saul Kripke once noted that there is a tight connection between computation and de re knowledge of whatever the computation acts upon. For example, the Euclidean algorithm can produce knowledge of which number is the greatest common divisor of two numbers. Arguably, algorithms operate directly on syntactic items, such as strings, and on numbers and the like only via how the numbers are represented. So we broach matters of notation. The purpose of this article is to explore the relationship between (...) the notations acceptable for computation, the usual idealizations involved in theories of computability, flowing from Alan Turing’s monumental work, and de re propositional attitudes toward numbers and other mathematical objects. (shrink)

One prominent criticism of the abstractionist program is the so-called Bad Company objection. The complaint is that abstraction principles cannot in general be a legitimate way to introduce mathematical theories, since some of them are inconsistent. The most notorious example, of course, is Frege’s Basic Law V. A common response to the objection suggests that an abstraction principle can be used to legitimately introduce a mathematical theory precisely when it is stable: when it can be made true on all sufficiently (...) large domains. In this paper, we raise a worry for this response to the Bad Company objection. We argue, perhaps surprisingly, that it requires very strong assumptions about the range of the second-order quantifiers; assumptions that the abstractionist should reject. (shrink)

[ROYAL INSTITUTE OF PHILOSOPHY 2023 ESSAY PRIZE WINNER] I argue that the term ‘naturalism’ is so empty of meaning that it is not suitable for serious theorizing in philosophy. In particular, I argue that the question of whether or not some theory or thesis should count as naturalistic is an empty verbal dispute with no further theoretical significance. I also discuss naturalism construed as a methodological thesis and argue that any plausible version will collapse into triviality. Lastly, I briefly discuss (...) the idea that naturalism is not a thesis at all but rather a ‘stance’ and suggest that this too succumbs to the charge of emptiness. I conclude that we should stop talking about naturalism altogether. (shrink)

Typically, expert judgments are regarded by laypeople as highly trustworthy. However, expert assertions that strike the layperson as obviously false or outrageous, seem to give one a perfect reason to dispute that this judgment manifests expertise. In this paper, I will defend four claims. First, I will deliver an argument in support of the preemption view on expert judgments according to which we should not rationally use our own domain-specific reasons in the face of expert testimony. Second, I will argue (...) that the preemption view does not leave room for rejecting an expert judgment simply because it is outrageous. Third and finally, I will argue that outrageous expert judgments are ambiguous. Whereas some of them should be rationally rejected by laypeople, others are true and rationally acceptable. So, being outrageous is not, in and of itself, a reason to reject the judgment. Finally, I will argue that there are resources available to the preemption view that enable the layperson to reject some but not all outrageous expert judgments. This is sufficient to overcome the challenge from outrageous expert judgments to the preemption view. (shrink)

I propose a new formalist account of legal (/proximate) causation – one that holds legal causation to be a matter of amoral, descriptive fact. The account starts with a metaphysical relation, akin to but distinct from common-sense causation, and it argues that legal causation aligns exactly with that relation; it is unified and principled.

Despite overlooking religious topics, Wittgenstein’s Philosophical Investigations (PI) has had a large impact in philosophy of religion. This article surveys that influence and the reasons for it. In what follows, I first describe the reception of certain key concepts from the PI in philosophy of religion. Second, I examine a few scattered remarks on religious topics in the PI. Third, I consider the relevance of the PI for contemporary philosophy of religion. I argue that the dialogical nature of the PI, (...) allowing different generations of readers to engage it with their particular philosophical problems, is key to its longterm influence. (shrink)

Existing research suggests that people's judgments of actual causation can be influenced by the degree to which they regard certain events as normal. We develop an explanation for this phenomenon that draws on standard tools from the literature on graphical causal models and, in particular, on the idea of probabilistic sampling. Using these tools, we propose a new measure of actual causal strength. This measure accurately captures three effects of normality on causal judgment that have been observed in existing studies. (...) More importantly, the measure predicts a new effect ("abnormal deflation"). Two studies show that people's judgments do, in fact, show this new effect. Taken together, the patterns of people's causal judgments thereby provide support for the proposed explanation. (shrink)

We present a computational analysis of de re, de dicto, and de se belief and knowledge reports. Our analysis solves a problem first observed by Hector-Neri Castañeda, namely, that the simple rule -/- `(A knows that P) implies P' -/- apparently does not hold if P contains a quasi-indexical. We present a single rule, in the context of a knowledge-representation and reasoning system, that holds for all P, including those containing quasi-indexicals. In so doing, we explore the difference between reasoning (...) in a public communication language and in a knowledge-representation language, we demonstrate the importance of representing proper names explicitly, and we provide support for the necessity of considering sentences in the context of extended discourse (for example, written narrative) in order to fully capture certain features of their semantics. (shrink)

In a recent article in this journal, Marc Champagne leveled an argument against what Wilfrid Sellars dubbed “the Myth of the Given.” Champagne contends that what is given in observation in the form of a sensation must be able to both cause and justify propositionally structured beliefs. He argues for this claim by attempting to show that one cannot decide which of two equally valid chains of inference is sound without appeal to what is given in experience. In this note, (...) I show that while this argument is sound, the conclusion he draws is far too strong. Champagne’s argument shows only that our empirical beliefs are determined through experience. It does not license the stronger claim that, in order for us to have empirical knowledge, bare sensations must be able to justify beliefs. (shrink)

In this paper I will offer a comprehensive defense of the safety account of knowledge against counterexamples that have been recently put forward. In Sect. 2, I will discuss different versions of safety, arguing that a specific variant of method-relativized safety is the most plausible. I will then use this specific version of safety to respond to counterexamples in the recent literature. In Sect. 3, I will address alleged examples of safe beliefs that still constitute Gettier cases. In Sect. 4, (...) I will discuss alleged examples of unsafe knowledge. In Sect. 5, I will address alleged cases of safe belief that do not constitute knowledge for non-Gettier reasons. My overall goal is to show that there are no successful counterexamples to robust anti-luck epistemology and to highlight some major presuppositions of my reply. (shrink)

Eva Erman and Niklas Möller have recently criticised a range of political theorists for committing a pragmatistic fallacy, illicitly drawing normative conclusions from politically neutral ideas abo...

This chapter first seeks to identify Huw Price's reasons for holding that "object naturalism" can be undermined by "subject-naturalistic" inquiry. It then addresses five questions about how his project bears on the prospects for a liberal naturalism. (1) Does Price’s strategy depend on his requirement that the relevant inquiry into human discourse and thought be conducted in natural-scientific terms? (2) Is Price’s strategy even compatible with that requirement? (3) Does the worldview Price arrives at amount to a liberal naturalism, i.e. (...) a naturalism that could be obtained by relaxing a more restrictive version? (4) Is Price’s strategy consistent with a liberal naturalism? (5) Should a proponent of Price’s strategy accept a liberal naturalism? (shrink)