Chapin reviewed this 1972 ZEITSCHRIFT paper that proves the completeness theorem for the logic of variable-binding-term operators created by Corcoran and his student John Herring in the 1971 LOGIQUE ET ANALYSE paper in which the theorem was conjectured. This leveraging proof extends completeness of ordinary first-order logic to the extension with vbtos. Newton da Costa independently proved the same theorem about the same time using a Henkin-type proof. This 1972 paper builds on the 1971 “Notes on a Semantic Analysis of (...) Variable Binding Term Operators” (Co-author John Herring), Logique et Analyse 55, 646–57. MR0307874 (46 #6989). A variable binding term operator (vbto) is a non-logical constant, say v, which combines with a variable y and a formula F containing y free to form a term (vy:F) whose free variables are exact ly those of F, excluding y. Kalish-Montague 1964 proposed using vbtos to formalize definite descriptions “the x: x+x=2”, set abstracts {x: F}, minimization in recursive function theory “the least x: x+x>2”, etc. However, they gave no semantics for vbtos. Hatcher 1968 gave a semantics but one that has flaws described in the 1971 paper and admitted by Hatcher. In 1971 we give a correct semantic analysis of vbtos. We also give axioms for using them in deductions. And we conjecture strong completeness for the deductions with respect to the semantics. The conjecture, proved in this paper with Hatcher’s help, was proved independently about the same time by Newton da Costa. (shrink)

1 Th. 5:17 tells us to pray without ceasing. Many have worried that praying without ceasing seems impossible. Most address the problem by giving an account of the true nature of prayer. Unexplored are strategies for dealing with the problem that are neutral on the nature of prayer, strategies consistent, for example, with the view that only petition is prayer. In this article, after clarifying the nature of the problem for praying without ceasing, I identify and explore the prospects of (...) five different strategies that are neutral in this sense. I also raise problems for each strategy. (shrink)

We present an ontology of pain and of other pain-related phenomena, building on the definition of pain provided by the International Association for the Study of Pain (IASP). Our strategy is to identify an evolutionarily basic canonical pain phenomenon, involving unpleasant sensory and emotional experience based causally in localized tissue damage that is concordant with that experience. We then show how different variant cases of this canonical pain phenomenon can be distinguished, including pain that is elevated relative to peripheral trauma, (...) pain that is caused neuropathically (thus with no necessary peripheral stimulus), and pain reports arising through deception either of self or of others. We describe how our approach can answer some of the objections raised against the IASP definition, and sketch how it can be used to support more sophisticated discrimination of different types of pain resulting in improved data analysis that can help in advancing pain research. (shrink)

Investigation of neural and cognitive processes underlying individual variation in moral preferences is underway, with notable similarities emerging between moral- and risk-based decision-making. Here we specifically assessed moral distributive justice preferences and non-moral financial gambling preferences in the same individuals, and report an association between these seemingly disparate forms of decision-making. Moreover, we find this association between distributive justice and risky decision-making exists primarily when the latter is assessed with the Iowa Gambling Task. These findings are consistent with neuroimaging studies (...) of brain function during moral and risky decision-making. This research also constitutes the first replication of a novel experimental measure of distributive justice decision-making, for which individual variation in performance was found. Further examination of decision-making processes across different contexts may lead to an improved understanding of the factors affecting moral behaviour. (shrink)

Argumento neste artigo que embora existam muitas maneiras diferentes de descrever o mundo ou algum segmento dele, qualquer maneira que deixe de acarretar logicamente uma separabilidade do corpo e da alma como os dois componentes de cada ser humano conhecido (o corpo sendo uma parte contingente e a alma a parte essencial do homem) deixará de fornecer uma descriçáo completa do mundo. T ítulo original do artigo: “ What makes me me? A Defense os Substance Dualism ”. Apresentado no I (...) Seminário Internacional de Filosofia Analítica Contemporânea, realizado em Natal de 19 a 21 de novembro de 2007. Traduçáo provisória de Jaimir Conte.]. (shrink)

It is common for religiously motivated actions to be specially protected by law. Many legal theorists have asked why: what makes religion special? What makes it worthy of toleration over and above other non-religious deeply held convictions? The answer I put forward is that religions’ alleged afterlife consequences call for a principle of toleration that warrants special legal treatment. Under a Rawlsian principle of toleration, it is reasonable for those in the original position to opt for principles of justice that (...) accommodate actions with alleged afterlife consequences. And, under a utilitarian principle of toleration, a greater psychological harm is eased by such accommodations. Additionally, this alleged afterlife consequence is found in most of the religions that are thought to warrant some level of special toleration—not only do the Abrahamic religions have alleged afterlife consequences, but many eastern religions do as well, e.g. reincarnation. (shrink)

In this very brief reflection, I argue against the suggestion that consciousness may be viewed as an emergent property of matter.

In this paper we compare Kierkegaard’s and Marx’s views on social reform. Then we argue that Kierkegaard’s own reasoning is consistent with the expression of neighbor-love through collective action, i.e. social reform. However, Kierkegaard’s approach to social reform would be vastly different than Marx’s. We end by reviewing several questions that Kierkegaardian social reformers would ask themselves. Our hope is that this exploration will provide helpful insights into how those who genuinely love their neighbors ought to seek the common good (...) through collective action. (shrink)

The use of the symbol ∨for disjunction in formal logic is ubiquitous. Where did it come from? The paper details the evolution of the symbol ∨ in its historical and logical context. Some sources say that disjunction in its use as connecting propositions or formulas was introduced by Peano; others suggest that it originated as an abbreviation of the Latin word for “or,” vel. We show that the origin of the symbol ∨ for disjunction can be traced to Whitehead and (...) Russell’s pre-Principia work in formal logic. Because of Principia’s influence, its notation was widely adopted by philosophers working in logic (the logical empiricists in the 1920s and 1930s, especially Carnap and early Quine). Hilbert’s adoption of ∨ in his Grundzüge der theoretischen Logik guaranteed its widespread use by mathematical logicians. The origins of other logical symbols are also discussed. (shrink)

A brief reflection on the mind-body problem and its implications for the way we conceive of ourselves and live our lives.

Although arguments for and against competing theories of vagueness often appeal to claims about the use of vague predicates by ordinary speakers, such claims are rarely tested. An exception is Bonini et al. (1999), who report empirical results on the use of vague predicates by Italian speakers, and take the results to count in favor of epistemicism. Yet several methodological difficulties mar their experiments; we outline these problems and devise revised experiments that do not show the same results. We then (...) describe three additional empirical studies that investigate further claims in the literature on vagueness: the hypothesis that speakers confuse ‘P’ with ‘definitely P’, the relative persuasiveness of different formulations of the inductive premise of the Sorites, and the interaction of vague predicates with three different forms of negation. (shrink)

An investigation of what Frege means by his doctrine that functions (and so concepts) are 'unsaturated'. We argue that this doctrine is far less peculiar than it is usually taken to be. What makes it hard to understand, oddly enough, is the fact that it is so deeply embedded in our contemporary understanding of logic and language. To see this, we look at how it emerges out of Frege's confrontation with the Booleans and how it expresses a fundamental difference between (...) Frege's approach to logic and theirs. (shrink)

Bayesian models of legal arguments generally aim to produce a single integrated model, combining each of the legal arguments under consideration. This combined approach implicitly assumes that variables and their relationships can be represented without any contradiction or misalignment, and in a way that makes sense with respect to the competing argument narratives. This paper describes a novel approach to compare and ‘average’ Bayesian models of legal arguments that have been built independently and with no attempt to make them consistent (...) in terms of variables, causal assumptions or parameterization. The approach involves assessing whether competing models of legal arguments are explained or predict facts uncovered before or during the trial process. Those models that are more heavily disconfirmed by the facts are given lower weight, as model plausibility measures, in the Bayesian model comparison and averaging framework adopted. In this way a plurality of arguments is allowed yet a single judgement based on all arguments is possible and rational. (shrink)

What we value, like, endorse, want, and prefer changes over the course of our lives. Richard Pettigrew presents a theory of rational decision making for agents who recognise that their values will change over time and whose decisions will affect those future times.

We present a new understanding of Christ’s real presence in the Eucharist on the model of Stump’s account of God’s omnipresence and Green and Quan’s account of experiencing God in Scripture. On this understanding, Christ is derivatively, rather than fundamentally, located in the consecrated bread and wine, such that Christ is present to the believer through the consecrated bread and wine, thereby making available to the believer a second-person experience of Christ, where the consecrated bread and wine are the way (...) in which she shares attention with him. The consecrated bread and wine are then, in a sense, icons of Christ. (shrink)

This report by the WHO Consultative Group on Equity and Universal Health Coverage addresses how countries can make fair progress towards the goal of universal coverage. It explains the relevant tradeoffs between different desirable ends and offers guidance on how to make these tradeoffs.

During much of the past century, it was widely believed that phonemes--the human speech sounds that constitute words--have no inherent semantic meaning, and that the relationship between a combination of phonemes (a word) and its referent is simply arbitrary. Although recent work has challenged this picture by revealing psychological associations between certain phonemes and particular semantic contents, the precise mechanisms underlying these associations have not been fully elucidated. Here we provide novel evidence that certain phonemes have an inherent, non-arbitrary emotional (...) quality. Moreover, we show that the perceived emotional valence of certain phoneme combinations depends on a specific acoustic feature--namely, the dynamic shift within the phonemes' first two frequency components. These data suggest a phoneme-relevant acoustic property influencing the communication of emotion in humans, and provide further evidence against previously held assumptions regarding the structure of human language. This finding has potential applications for a variety of social, educational, clinical, and marketing contexts. (shrink)

Regina Fabry has proposed an intriguing marriage of enculturated cognition and predictive processing. I raise some questions for whether this marriage will work and warn against expecting too much from the predictive processing framework. Furthermore I argue that the predictive processes at a sub-personal level cannot be driving the innovations at a social level that lead to enculturated cognitive systems, like those explored in my target paper.

This analysis shows Cantor's diagonal definition in his 1891 paper was not compatible with his horizontal enumeration of the infinite set M. The diagonal sequence was a counterfeit which he used to produce an apparent exclusion of a single sequence to prove the cardinality of M is greater than the cardinality of the set of integers N.

I first clarify the idea that blameworthiness requires consciousness as the view that one can be blameworthy only for what is a response to a reason of which one is conscious. Next I develop the following argument: blameworthiness requires exercising control in a way distinctive of persons and doing this, in view of what it is to be a person, requires responding to a reason of which one is conscious. Then I defend this argument from an objection inspired by Arpaly (...) and Schroeder according to which responding to moral reasons suffices for exercising control distinctive of persons. (shrink)

Tourism is one of the socio-economic trends that significantly contributes to the shift of the planetary system into the Anthropocene regime. At the same time, it is also a socio-cultural practice characteristic of the imperial mode of living, or consumerism. Thus, it is a form of commodification of nature, also a way of deepening social inequalities between a privileged minority of the global population and an exploited majority providing services to those whose socio-economic status allows them to travel for fun (...) and commoditised “experience”. This is not an inevitable activity, an activity in which environmental costs (carbon footprint, water footprint, energy consumption, and waste production) are necessary to ensure the basic resources of life. Tourism is therefore a form of luxury consumption. For any tourism model to be, not only, environmentally sustainable but also socially just, or at least acceptable, it would have to be accessible to all people. Ecotourism should also have to meet the criterion of a solidarity mode of living referred to as sufficiency. This is hardly conceivable in the climatic, demographic, and political regime of the Anthropocene. The latter is likely to be characterized by, among other things, mass migration of climate or environmental refugees on the one hand and climate apartheid of the states of the global North on the other. Ecotourism, accessible to an even smaller proportion of the world`s population than the current mass tourism, will thus be more likely to accentuate the social and environmental inequalities of which it is already a significant manifestation. Therefore, the question is whether the concept of ecotourism is not just another manifestation of greenwashing, i.e. an attempt to legitimize economic, social, and cultural activities that devastate the social and environmental environment. (shrink)

A current focus of legal debate is the proper role of the courts in the interpretation of statutes and the Constitution. Are judges to look solely to the naked language of an enactment, then logically deduce its application in simple syllogistic fashion, as legal formalists had purported to do? Or may the inquiry into meaning be informed by perhaps unbridled and unaccountable judicial notions of public policy, using legal realism to best promote the general welfare? Judge Posner considers the concepts (...) of formalism and realism to be meaningful and useful in common law reasoning but in interpretation to be useless and, worse, forbidden. He analogizes unclear "orders" from a legislature to garbled battlefield communications, and argues that the duty of the recipient of those orders (the judge) is to advance as best he can the enterprise set on foot by the superiors. Case studies elaborate this thesis. Judicial decisions interpreting fixed texts, Judge Posner concludes, can be neither logically correct or incorrect, philosophically sound or unsound, until the ultimate jurist, time, has adjudged their results. (shrink)

We reflect on a decade of Responsible Research and Innovation (RRI) as a discourse emerging from the European Commission (EC) 10 years ago. We discuss the foundations for RRI, its emergence during the Seventh Framework programme and its subsequent evolution during Horizon 2020. We discuss how an original vision for RRI became framed around five so-called ‘keys’: gender, open access, science communication, ethics and public engagement. We consider the prospects for RRI within the context of the EC’s Open Science agenda (...) and Horizon Europe programme, before closing with some reflections on the contribution RRI has made to debates concerning the relationship between science, innovation and society over the last decade. (shrink)

This paper considers a now familiar argument that the ubiquity of context -dependence threatens the project of natural language semantics, at least as that project has usually been conceived: as concerning itself with `what is said' by an utterance of a given sentence. I argue in response that the `anti-semantic' argument equivocates at a crucial point and, therefore, that we need not choose between semantic minimalism, truth-conditional pragmatism, and the like. Rather, we must abandon the idea, familiar from Kaplan and (...) others, that utterances express propositions `relative to contexts' and replace it with the Strawonian idea that speakers express propositions by making utterances in contexts. The argument for this claim consists in a detailed investigation of the particular case of demonstratives, which I argue demand such a Strawsonian treatment. I then respond to several objections, the most important of which allege that the Strawsonian account somehow undermines the project of natural language semantics, or threatens the semantics -pragmatics distinction. Please note that the paper posted here is an extended version of what was published. (shrink)

The proof theory of many-valued systems has not been investigated to an extent comparable to the work done on axiomatizatbility of many-valued logics. Proof theory requires appropriate formalisms, such as sequent calculus, natural deduction, and tableaux for classical (and intuitionistic) logic. One particular method for systematically obtaining calculi for all finite-valued logics was invented independently by several researchers, with slight variations in design and presentation. The main aim of this report is to develop the proof theory of finite-valued first order (...) logics in a general way, and to present some of the more important results in this area. In Systems covered are the resolution calculus, sequent calculus, tableaux, and natural deduction. This report is actually a template, from which all results can be specialized to particular logics. (shrink)

We reflect on a decade of Responsible Research and Innovation (RRI) as a discourse emerging from the European Commission (EC) 10 years ago. We discuss the foundations for RRI, its emergence during the Seventh Framework programme and its subsequent evolution during Horizon 2020. We discuss how an original vision for RRI became framed around five so-called ‘keys’: gender, open access, science communication, ethics and public engagement. We consider the prospects for RRI within the context of the EC’s Open Science agenda (...) and Horizon Europe programme, before closing with some reflections on the contribution RRI has made to debates concerning the relationship between science, innovation and society over the last decade. (shrink)

What are the possible varieties of cognition-artifact relations, and which dimensions are relevant for exploring these varieties? This question is answered in two steps. First, three levels of functional and informational integration between human agent and cognitive artifact are distinguished. These levels are based on the degree of interactivity and direction of information flow, and range from monocausal and bicausal relations to continuous reciprocal causation. In these levels there is a hierarchy of integrative processes in which there is an increasing (...) degree of hybridization. Therefore, from a functional and informational level of abstraction, it becomes increasingly difficult to distinguish between agent and artifact in this hierarchy. Second, a multidimensional matrix for exploring cognition-artifact relations is sketched. The dimensions in the matrix include reliability, durability, trust, procedural and representational transparency, individualization, bandwidth, speed of information flow, distribution of computation, and cognitive and artifactual transformation. Together, these dimensions constitute a multidimensional space in which particular cognition-artifact relations can be located. The higher a particular cognition-artifact relation scores on these dimensions, the more integration and hybridization occurs, and the more tightly coupled the overall system is. It is then better, for explanatory reasons, to see agent and artifact as one cognitive system with a distributed informational architecture. (shrink)

This paper clarifies the usage of Albert Hirschman’s categories of market behaviour as of exit and voice in debates about workplace democracy by taking seriously his critique of the neoclassical analysis of competition. Pro-market liberals are generally hostile to the idea of workplace democracy and tend to favour top-down hierarchies as a way of organising labour. This hostility is generally inspired by the neoclassical analysis of exploitation and efficiency, which leads them to defend distributions achieved through exit-based competitive equilibria. Following (...) Hirschman, I propose to consider a hypothetical alternative: a democratic equilibrium, reached through the use of voice. I show that it would present the same appealing characteristics than its competitive counterpart while also accounting for the non-ideal conditions in which markets operate. Support for free markets should entail support for workplace democracy minimally understood as a strengthening of voice. (shrink)

A teaching document I've used in my courses on truth and on incompleteness. Aimed at students who have a good grasp of basic logic, and decent math skills, it attempts to give them the background they need to understand a proper statement of the classic results due to Gödel and Tarski, and sketches their proofs. Topics covered include the notions of language and theory, the basics of formal syntax and arithmetization, formal arithmetic (Q and PA), representability, diagonalization, and the incompleteness (...) and undefinability theorems. (shrink)

In a study drawing from both evolutionary biology and the social sciences, evidence and argument is assembled in support of the comprehensive appli- cation of selfish gene theory to the human population. With a focus on genes giving rise to characteristically-human cooperation (“cooperative genes”) in- volving language and theory of mind, one may situate a whole range of pat- terned behaviour—including celibacy and even slavery—otherwise seeming to present insuperable difficulties. Crucially, the behaviour which tends to propa- gate the cooperative genes (...) may be “at cost” to the genes of some who may be party to the cooperation itself. Explanatory insights are provided by Trivers’ parent-offspring conflict theory, Lack’s principle, and Hamilton’s kin selec- tion mechanism. A primary observation is that cooperation using language and theory of mind is itself interdependent with full human conceptualization of a world of objects and of themselves as embodied beings. Human capaci- ties inhering in, or arising out of, the ability to cooperate are also responsible for a vitally important long-term process, the domestication of animals and p- lants. The approach illuminates the difference between animal and human sexual behaviour, and the emergence of kinship systems. Again, recent pat- terns of population growth become much more explicable. It is argued that the gene is the single controlling replicator; the notion of the meme as a sec- ond independent replicator is flawed. (shrink)

This is a completely informal presentation of the ideas behind the diagonal lemma. One really can't see this important result from too many different angles. This one aims at getting the main idea across. (For the cognoscenti, it is in the spirit of Quine's treatment in terms of "appended to its own quotation".).

In the first half of this paper, I argue that group belief ascriptions are highly ambiguous. What's more, in many cases, neither the available contextual factors nor known pragmatic considerations are sufficient to allow the audience to identify which of the many possible meanings is intended. In the second half, I argue that this ambiguity often has bad consequences when a group belief ascription is heard and taken as testimony. And indeed it has these consequences even when the ascription is (...) true on the speaker's intended interpretation, when the speaker does not intend to mislead and indeed intends to cooperatively inform, and when the audience incorporates the evidence from the testimony as they should. I conclude by arguing that these consequences should lead us to stop using such ascriptions. (shrink)

Is it reasonable to believe in a God of love in the face of life's many evils? In this essay I consider how the biblical book of Job raises and responds to this question.

Universities and colleges all over the United States are currently revising and implementing policies concerning sexual harassment and sexual misconduct, under the generally expressed concern to comply with Title IX requirements. But there is a very basic problem of equivocation. Both “sexual harassment” and “sexual misconduct” are used in very different ways in different contexts, often by the same entity. The result is a mess in which members of campus communities cannot be sure of their obligations or protections, and which (...) presents a serious threat to academic freedom. (shrink)

Critical examination of possible socio-political Anthropocene consequences leads to the conclusion that the sustainable development concept is not an adequate answer for current threats and risks. An effort to implement the sustainable development concept can even make climate changes and other forms of nature devastation worse, as it turns out on ongoing greenhouse gas concentrations growth in the atmosphere, despite obligations that result to all states of the world from Paris agreement. The climate change rate and range of plant and (...) animal species extinction confirms J. Lovelock´s thesis that humanity does not have enough time and, most likely, enough sources to implement the sustainable development concept and, as B. Latour points out, we do not have a big enough planet. Therefore, it is necessary to think about a retreat – to areas that are likely to stay livable even after the sea level rise and desertification; it is necessary to think about how to move millions of people from areas flooded by sea or parched by desert; to think about a change of our current way of life, of production of food and energy so that not only humankind as animal species would continue, but also our civilization and its technological and organizational knowledge. Even basic theses based on this concept indicate a need to reassess most political concepts, mainly the concepts of sovereignty, citizenship, but also those of freedom of movement and residence, freedom of business and consume, which work as fundamentals of the neoliberal economic-political system. Retreat expects complex and organized migration to beforehand chosen and arranged areas. Opposite to retreat is mass escape chaos that reduces human relations to fight for survival. As J. Lovelock proposed in his sustainable retreat concept, relocating people from areas affected by climate changes to climate oases would mean that rich northern countries give up their current, in fact, isolationistic politics of refusing climate migrants. Therefore, the concept of sustainable retreat requires much greater competence and especially willingness to cooperate not only nationally, but also internationally and globally, in addition to what humanity is capable of doing today. (shrink)

The Global Forum on Bioethics in Research (GFBR) served as a global platform for debate on ethical issues in international health research between 1999 and 2008, bringing together research ethics experts, researchers, policy makers and community members from developing and developed countries. In total, nine GFBR meetings were held on six continents. Work is currently underway to revive the GFBR. This paper describes the purpose and history of the GFBR and presents key elements for its reinstatement, future functioning and sustainability. (...) Potential participants and sponsors are encouraged to contribute actively to the future of this unique international research ethics event. (shrink)

This paper attempts to address the question what logical strength theories of truth have by considering such questions as: If you take a theory T and add a theory of truth to it, how strong is the resulting theory, as compared to T? It turns out that, in a wide range of cases, we can get some nice answers to this question, but only if we work in a framework that is somewhat different from those usually employed in discussions of (...) axiomatic theories of truth. These results are then used to address a range of philosophical questions connected with truth, such as what Tarski meant by "essential richness" and the so-called conservativeness argument against deflationism. -/- This draft dates from about 2009, with some significant updates having been made around 2011. Around then, however, I decided that the paper was becoming unmanageable and that I was trying to do too many things in it. I have therefore exploded the paper into several pieces, which will be published separately. These include "Disquotationalism and the Compositional Principles", "The Logical Strength of Compositional Principles", "Consistency and the Theory of Truth", and "What Is Essential Richness?" You should probably read those instead, since this draft remains a bit of a mess. Terminology and notation are inconsistent, and some of the proofs aren't quite right. So, caveat lector. I make it public only because it has been cited in a few places now. (shrink)

This chapter examines the pragmatist approach to cognition and experience and provides some of the conceptual background to the “pragmatic turn” currently underway in cognitive science. Classical pragmatists wrote extensively on cognition from a naturalistic perspective, and many of their views are compatible with contemporary pragmatist approaches such as enactivist, extended, and embodied-Bayesian approaches to cognition. Three principles of a pragmatic approach to cognition frame the discussion: First, thinking is structured by the interaction of an organism with its environment. Second, (...) cognition develops via exploratory inference, which remains a core cognitive ability throughout the life cycle. Finally, inquiry/problem solving begins with genuinely irritating doubts that arise in a situation and is carried out by exploratory inference. (shrink)

Many existing biomedical vocabulary standards rest on incomplete, inconsistent or confused accounts of basic terms pertaining to diseases, diagnoses, and clinical phenotypes. Here we outline what we believe to be a logically and biologically coherent framework for the representation of such entities and of the relations between them. We defend a view of disease as involving in every case some physical basis within the organism that bears a disposition toward the execution of pathological processes. We present our view in the (...) form of a list of terms and definitions designed to provide a consistent starting point for the representation of both disease and diagnosis in information systems in the future. (shrink)

to appear in Lambert, E. and J. Schwenkler (eds.) Transformative Experience (OUP) -/- L. A. Paul (2014, 2015) argues that the possibility of epistemically transformative experiences poses serious and novel problems for the orthodox theory of rational choice, namely, expected utility theory — I call her argument the Utility Ignorance Objection. In a pair of earlier papers, I responded to Paul’s challenge (Pettigrew 2015, 2016), and a number of other philosophers have responded in similar ways (Dougherty, et al. 2015, Harman (...) 2015) — I call our argument the Fine-Graining Response. Paul has her own reply to this response, which we might call the Authenticity Reply. But Sarah Moss has recently offered an alternative reply to the Fine-Graining Response on Paul’s behalf (Moss 2017) — we’ll call it the No Knowledge Reply. This appeals to the knowledge norm of action, together with Moss’ novel and intriguing account of probabilistic knowledge. In this paper, I consider Moss’ reply and argue that it fails. I argue first that it fails as a reply made on Paul’s behalf, since it forces us to abandon many of the features of Paul’s challenge that make it distinctive and with which Paul herself is particularly concerned. Then I argue that it fails as a reply independent of its fidelity to Paul’s intentions. (shrink)

Memory is everywhere in Blade Runner 2049. From the dead tree that serves as a memorial and a site of remembrance (“Who keeps a dead tree?”), to the ‘flashbulb’ memories individuals hold about the moment of the ‘blackout’, when all the electronic stores of data were irretrievably erased (“everyone remembers where they were at the blackout”). Indeed, the data wiped out in the blackout itself involves a loss of memory (“all our memory bearings from the time, they were all damaged (...) in the blackout”). Memory, and lack of it, permeates place, where from the post-blackout Las Vegas Deckard remembers it as somewhere you could “forget your troubles.” Memory is a commodity, called upon and consumed by the Wallace Corporation, purchased from the memory-maker, Dr Ana Stelline, who constructs and implants “the best memories” in replicants so as to instil in them real human responses. Memory is ubiquitous in Blade Runner 2049, involving humans, replicants, objects, and machines. Even “God,” we are told, “remembered Rachael.” Nowhere, though, is the depiction of memory more important than in the attempt to solve a question of identity. Officer K has a memory of his past. Even though he knows it is an implant, it is a memory he is emotionally attached to, frequently narrating it to Joi, his digital girlfriend. But it is a memory that starts to puzzle and trouble him. When K discovers the remains of a dead replicant, a female NEXUS-7, he uncovers a secret—this replicant was pregnant and died during childbirth, a discovery that could “break the world.” K is charged with hunting down the child and making the problem disappear. Yet as K starts seeking answers to the question of the child’s identity he gets inextricably caught up in the mystery. Is he merely Officer K, or is he Joe, the miracle child of Rachael and Deckard? The answer to this question hinges on K’s memory. But is the memory genuine? Is the memory his? Blade Runner 2049 encourages us to think deeply about the nature of memory, identity, and the relation between them. Indeed, the film does not just serve as a starting point for thinking about philosophical issues related to memory and identity. Rather, as we show in this chapter, the film seems to offer a view on these philosophical issues. Blade Runner 2049 offers us a view of memory as spread out over people, objects, and the environment, and it shows us that memory’s role in questions of identity goes beyond merely accurately recalling one’s past. Identity depends not on memory per se, but partly on what we use memory for. (shrink)

A close look at Frege's proof in "Foundations of Arithmetic" that every number has a successor. The examination reveals a surprising gap in the proof, one that Frege would later fill in "Basic Laws of Arithmetic".

How much does rationality constrain what we should believe on the basis of our evidence? According to this book, not very much. For most people and most bodies of evidence, there is a wide range of beliefs that rationality permits them to have in response to that evidence. The argument, which takes inspiration from William James' ideas in 'The Will to Believe', proceeds from two premises. The first is a theory about the basis of epistemic rationality. It's called epistemic utility (...) theory, and it says that what it is epistemically rational for you to believe is what it would be rational for you to choose if you were given the chance to pick your beliefs and, when picking them, you were to care only about their epistemic value. So, to say which beliefs are permitted, we must say how to measure epistemic value, and which decision rule to use when picking your beliefs. The second premise is a claim about attitudes to epistemic risk, and it says that rationality permits many different such attitudes. These attitudes can show up in epistemic utility theory in two ways: in the way you measure epistemic value; and in the decision rule you use to pick beliefs. This book explores the latter. The result is permissivism about epistemic rationality: different attitudes to epistemic risk lead to different choices of prior beliefs; given most bodies of evidence, different priors lead to different posteriors; and even once we fix your attitudes to epistemic risk, if they are at all risk-inclined, there is a range of different priors and therefore different posteriors they permit. (shrink)

Upward monotonic semantics for necessity modals give rise to Ross’s Puzzle: they predict that □φ entails □(φ ∨ ψ), but common intuitions about arguments of this form suggest they are invalid. It is widely assumed that the intuitive judgments involved in Ross’s Puzzle can be explained in terms of the licensing of ‘Diversity’ inferences: from □(φ ∨ ψ), interpreters infer that the truth of each disjunct (φ, ψ) is compatible with the relevant set of worlds. I introduce two pieces of (...) data that this analysis fails to explain. Analyzing this data, I argue, suggests that necessity modals with embedded disjunctions license ‘Independence’ inferences: from the truth of □(φ ∨ ψ), interpreters infer that φ-without-ψ and ψ-without-φ are each compatible with the relevant set of worlds. I outline a bilateral inquisitive semantics for necessity modals that predicts the validity of the Independence inferences. I then argue that the resulting theory should be understood as one on which disjunctions denote pluralities of propositions, and necessity modals behave like collective predicates applied to these pluralities. (shrink)