Cerreia-Vioglio et al. :341–375, 2011) have proposed a very general axiomatisation of preferences in the presence of ambiguity, viz. Monotonic Bernoullian Archimedean preference orderings. This paper investigates the problem of Arrovian aggregation of such preferences—and proves dictatorial impossibility results for both finite and infinite populations. Applications for the special case of aggregating expected-utility preferences are given. A novel proof methodology for special aggregation problems, based on model theory, is employed.

The strongest possible Lewisian triviality result for the indicative conditional is proven.

Drawing on the so-called “doctrinal paradox”, List and Pettit (2002) have shown that, given an unrestricted domain condition, there exists no procedure for aggregating individual sets of judgments over multiple interconnected propositions into corresponding collective ones, where the procedure satisfies some minimal conditions similar to the conditions of Arrow’s theorem. I prove that we can avoid the paradox and the associated impossibility result by introducing an appropriate domain restriction: a structure condition, called unidimensional alignment, is shown to open up (...) a possibility result, similar in spirit to Black’s median voter theorem. Specifically, I prove that, given unidimensional alignment, propositionwise majority voting is the unique procedure for aggregating individual sets of judgments into collective ones in accordance with the above mentioned minimal conditions. (shrink)

Possibility semantics offers an elegant framework for a semantic analysis of modal logic that does not recruit fully determinate entities such as possible worlds. The present papers considers the application of possibility semantics to the modeling of the indeterminacy of the future. Interesting theoretical problems arise in connection to the addition of object-language determinacy operator. We argue that adding a two-dimensional layer to possibility semantics can help solve these problems. The resulting system assigns to the two-dimensional determinacy (...) operator a well-known logic (coinciding with the logic of universal modalities under global consequence). The paper concludes with some preliminary inroads into the question of how to distinguish two-dimensional possibility semantics from the more established branching framework. (shrink)

Cet ouvrage présente les fondements philosophiques et scientifiques du développement actuel des biotechnologies. Ce développement se fonde, philosophiquement, sur l'idée de la réalisation du possible largement commentée dans la tradition philosophique. Il est montré en outre comment le bricolage biotechnologique résulte de propriétés nouvellement reconnues de l'évolution biologique elle-même, qui procède selon le principe du bricolage moléculaire exposé par François Jacob. L'intimité des relations entre biotechnologie et évolution biologique, qui reste mal comprise en général, est ici détaillée à un niveau (...) fondamental, celui de la biologique moléculaire des trente dernières années et des techniques comme l'ADN recombinant et plus récemment l'évolution dirigée et les diverses formes de clonage. Les questions d'éthique et de politique scientifique liées aux biotechnologies sont également examinées. Les réflexions sur le thème biologie et société et la responsabilité scientifique exprimées depuis une trentaine d'années sont présentées en même temps que les divers cadres et actions politiques et institutionnels des biotechnologies. L'ouvrage, qui insiste sur l'extraordinaire malléabilité des structures biologiques, est aussi bien un plaidoyer pour l'exploration maîtrisée des possibles qu'un argumentaire pour une anthropologie philosophique de l'action humaine. (shrink)

We discuss what we take to be three possible misconceptions in the foundations of general relativity, relating to: the interpretation of the weak equivalence principle and the relationship between gravity and inertia; the connection between gravitational redshift results and spacetime curvature; and the Einstein equivalence principle and the ability to ``transform away" gravity in local inertial coordinate systems.

This paper is inspired by and develops on E. J. Lowe’s work, who writes in his book The Possibility of Metaphysics that ‘metaphysical possibility is an inescapable determinant of actuality’ (1998: 9). Metaphysics deals with possibilities – metaphysical possibilities – but is not able to determine what is actual without the help of empirical research. Accordingly, a delimitation of the space of possibilities is required. The resulting – controversial – picture is that we generally need to know whether (...) something is possible before we can know whether it is actual. In order to appreciate this picture, we need to understand Lowe’s slogan: ‘essence precedes existence’ (Lowe 2008: 40). This slogan has both an ontological and an epistemic reading. The ontological reading is related to the now familiar idea that essence grounds modality, as popularised by Kit Fine. The epistemic reading suggests that we can know the essence of some entity before we know whether or not that entity exists. However, this idea is often met with puzzlement and Lowe himself sadly passed away before he had a chance to clarify this framework. I will present the framework as I understand it, develop it on my own terms, and put forward a qualified defence of it. I will also illustrate how the framework can be put to use with a case study concerning the discovery of transuranic elements. (shrink)

Starting with the Born interpretation of quantum mechanics, we show that the quantum theory of measurement, supplemented by the strong law of large numbers, leads to a measurement statistics interpretation of quantum mechanics. A probabilistic characterization of the spectrum of a physical quantity is given, and an analysis of the notions of possible values and possible measurement results is carried out.

Demands for standardization and accountability as systemic cures for perceived ills in the education system are paralleled by a public and private sector promotion of technology integration as one pedagogical solution. The general critique of education and of technology in society has developed as two related yet separate threads in critical inquiry and discussion. As electronic forms of media and communication are becoming pervasive in society in general, solutions to long-standing educational dilemmas that mirror problems in society at large need (...) to develop from grounded theories for educational practice that embrace technological forms of information, knowledge, and culture production. This needs to be done to reverse the historical trend of education as an institution first adopting and then adapting technological forms to purposes of replicating status quo culture and social relationships. Despite the claims of many to the contrary, new technology may not make any difference in education. Individual attainment and achievement through technological efficiency may prove meaningless in a world pressed to reconcile problems that move diverse societies closer together rather than farther apart. Hope, meaning, belonging, and what has been termed the pedagogy of possibility are posited as an ethical foundation for advancing the integration of technology into education for an equitable, democratic, and different future. (shrink)

The new …eld of judgment aggregation aims to …nd collective judgments on logically interconnected propositions. Recent impossibility results establish limitations on the possibility to vote independently on the propositions. I show that, fortunately, the impossibility results do not apply to a wide class of realistic agendas once propositions like “if a then b” are adequately modelled, namely as subjunctive implications rather than material implications. For these agendas, consistent and complete collective judgments can be reached through appropriate quota rules (which (...) decide propositions using acceptance thresholds). I characterise the class of these quota rules. I also prove an abstract result that characterises consistent aggregation for arbitrary agendas in a general logic. (shrink)

A central theoretical motivation for epistemic contextualism is that it can explain something that invariantism cannot. Specifically, contextualism claims that judgments about “knowledge” are sensitive to the salience of error possibilities and that this is explained by the fact that salience shifts the evidential standard required to truthfully say someone “knows” something when those possibilities are made salient. This paper presents evidence that undermines this theoretical motivation for epistemic contextualism. Specifically, it demonstrates that while error salience does sometimes impact “knowledge” (...) judgments as contextualism predicts, it does so in ways that are consistent with invariantism and does not require positing any additional contextualist semantics to explain. These results advance our understanding of the pathways by which error possibility affects “knowledge” judgments, answer a major challenge to invariantism, and suggest several methodological improvements for the study of knowledge attribution. (shrink)

Jean Anyon's groundbreaking new book reveals the influence of federal and metropolitan policies and practices on the poverty that plagues schools and communities in American cities and segregated, low-income suburbs. Public policies...such as those regulating the minimum wage, job availability, tax rates, federal transit, and affordable housing...all create conditions in urban areas that no education policy as currently conceived can transcend. In this first book since her best-selling _Ghetto Schooling_, Jean Anyon argues that we must replace these federal and metro-area (...) policies with more equitable ones so that urban school reform can have positive life consequences for students. Anyon provides a much-needed new paradigm for understanding and combating educational injustice. Radical Possibilities reminds us that historically, equitable public policies have been typically created as a result of the political pressure brought to bear by social movements. Basing her analysis on new research in civil rights history and social movement theory, Anyon skillfully explains how the current moment offers serious possibilities for the creation of such a force. The book powerfully describes five social movements already under way in U.S. cities, and offers readers interested in building this new social movement a set of practical and theoretical insights into securing economic and educational justice for the many millions of America's poor families and students. (shrink)

The notion of the sublime, used to describe a particular kind of overwhelming or exhilarating aesthetic experience, has garnered a great deal of attention by philosophers, critical theorists and literary scholars. In the midst of this growing body of literature, Professor Jane Forsey published an article asking whether an aesthetic theory of the sublime is even possible, and argued provocatively in the negative. Claiming that efforts to explain the sublime inevitably result in theories that are either contradictory or incoherent, (...) Forsey posed a challenge to anyone who takes the sublime seriously as an aesthetic category. This volume brings together an international slate of philosophers and scholars of the sublime, who have been invited to respond to, and critically engage with, Forseys article. Unlike other monographs and anthologies that deal broadly with the sublime in aesthetics, this collection examines specific conceptual problems with the very foundations of sublime theory in a manner that is tightly focused and rigorous. It represents a variety of approaches that defend the sublime, and concludes with an original response by Professor Forsey to her critics. (shrink)

We provide a new perspective on the relation between the space of description of an object and the appearance of novelties. One of the aims of this perspective is to facilitate the interaction between mathematics and historical sciences. The definition of novelties is paradoxical: if one can define in advance the possibles, then they are not genuinely new. By analyzing the situation in set theory, we show that defining generic (i.e., shared) and specific (i.e., individual) properties of elements of a (...) set are radically different notions. As a result, generic and specific definitions of possibilities cannot be conflated. We argue that genuinely stating possibilities requires that their meaning has to be made explicit. For example, in physics, properties playing theoretical roles are generic; then, generic reasoning is sufficient to define possibilities. By contrast, in music, we argue that specific properties matter, and generic definitions become insufficient. Then, the notion of new possibilities becomes relevant and irreducible. In biology, among other examples, the generic definition of the space of DNA sequences is insufficient to state phenotypic possibilities even if we assume complete genetic determinism. The generic properties of this space are relevant for sequencing or DNA duplication, but they are inadequate to understand phenotypes. We develop a strong concept of biological novelties which justifies the notion of new possibilities and is more robust than the notion of changing description spaces. These biological novelties are not generic outcomes from an initial situation. They are specific and this specificity is associated with biological functions, that is to say, with a specific causal structure. Thus, we think that in contrast with physics, the concept of new possibilities is necessary for biology. (shrink)

Many epistemologists call themselves ‘fallibilists’. But many philosophers of language hold that the meaning of epistemic usages of ‘possible’ ensures a close knowledge- possibility link : a subject’s utterance of ‘it’s possible that not-p’ is true only if the subject does not know that p. This seems to suggest that whatever the core insight behind fallibilism is, it can’t be that a subject could have knowledge which is, for them, possibly false. I argue that, on the contrary, subjects can (...) have such possibly false knowledge. My ultimate aim, then, is to vindicate a very robust form of fallibilism. Uniquely, however, the account I offer does this while also allowing that concessive knowledge attributions – sentences of the form “I know that p, but it’s possible that not-p” – are not only infelicitous but actually false whenever uttered. The account predicts this result without conceding KPL. I argue that my account has the resources to explain some related cases for which the KPL account yields the wrong predictions. Taken as a whole, the linguistic data not only do not support the proposal that subjects cannot have possibly false knowledge, but indeed positively favor the proposal that they can. (shrink)

Advances in the understanding of genetics have led to the belief that it may become possible to use genetic engineering to manipulate the DNA of humans at the embryonic stage to produce certain desirable traits. Although this currently cannot be done on a large scale, many people nevertheless object in principle to such practices. Most often, they argue that genetic enhancements would harm the children who were engineered, cause societal harms, or that the risks of perfecting the procedures are too (...) high to proceed. However, many of these same people do not have serious objections to what is called ‘genetic planning’ procedures (such as the selection of sperm donors with desirable traits) that essentially have the same ends. The author calls the view that genetic engineering enhancements are impermissible while genetic planning enhancements are permissible the ‘popular view’, and argues that the typical reasons people give for the popular view fail to distinguish the two practices. This paper provides a principle that can salvage the popular view, which stresses that offspring from genetic engineering practices have grounds for complaint because they are identical to the pre-enhanced embryo, whereas offspring who are the result of genetic planning have no such grounds. (shrink)

This paper explores the possibility of a standard legal language (e.g. English) for a principled evolution of law in line with technological development. In doing so, reference is made to blockchain networks and smart contracts to emphasise the discontinuity with the liberal legal tradition when it comes to decentralisation and binary code language. Methodologically, the argument is built on the underlying relation between law, semiotics and new forms of media adding to natural language; namely: code and symbols. In what (...) follows, I will concentrate on the study of factors that explain why such approach can be fruitful for the future of law and innovation. I have three reasons for selecting this topic. The first is a more pragmatic reason, based on my current research of law as a linguistic phenomenon. Secondly, the topic does also touch the matter on binary code language, rivalrous to legal alphabetic language. Lastly, the study aims at emphasizing the pivotal role of the jurist as an interpreter in a changing society accommodating diverging realms of reality. The study is structured as follows. Firstly, a quick exam of the traits of blockchain networks would provide the contextual link to establish the arguments in support of the need of a standard legal language. Secondly, a comparison between liberal legal institutions and theory of semiotics is set to perceive their functioning and ascertain their limits in the light of todays unprecedented changes. Thirdly, a summary on blockchain networks’ legal features would constitute the thrust behind the idea of a uniform legal language. Methodologically, the argument does also establish some relations with classical laws of physics and philosophy of media. Its aim is to demonstrate how the suggested legal interpretation and semiotic-based approach can contribute to overcome existing stumbling blocks including, but not limited to, the lack of cooperation at the international level as well as the gap in State norms when it comes to innovation. In this sense, the proposed strategies do not intend to replace current advances in the legal thought. In contrast, it seeks to harmonise their results providing a methodical approach that can concur to inform a new technique to address new controversial issues. In practice, the proposed method regarding the adoption of a uniform legal language would lower transactive costs in terms of normative coordination in the matter of international cooperation and in the definition of applicable law among different legal systems. Alternatively, it might contribute to the convergence of legal systems and/or their underlying concepts. Differently put, article’s contribution can be envisaged in fostering juridical consistency with regards to different forms of languages’ coexistence. (shrink)

This chapter examines the modifications William James made to his account of the ethics of belief from his early ‘subjective method’ to his later heightened concerns with personal doxastic responsibility and with an empirically-driven comparative research program he termed a ‘science of religions’. There are clearly tensions in James’ writings on the ethics of belief both across his career and even within Varieties itself, tensions which some critics think spoil his defense of what he calls religious ‘faith ventures’ or ‘overbeliefs’. (...) But our study of James in the first half of the chapter reveals a significant degree of unnoticed unity: The two distinct defenses of faith ventures he develops post-1900 are actually both versions of the Dialogue Model of the relationship between individual religiosity and scientific reasoning. One shared theme in the diverging approaches to doxastic responsibility suggested by the two versions is what some interpreters have called ‘the character issue’ in James’ writings. The second half of the chapter develops these connections and argues that a neo-Jamesian approach tying the ethics of belief with Rawlsian reasonable pluralism and with contemporary character epistemology results in a stronger yet more clearly delimited defense of responsible faith ventures. (shrink)

We use mixture of forcing and inner models techniques to get some results on the possible behaviours of the Mitchell ordering at a measurable к.

Suppose that we want to frame a conception of reasons that isn't relativized to the inclinations of particular agents. That is, we want to identify particular things that count as reasons for acting simpliciter and not merely as reasons for some agents rather than others, depending on their inclinations. One way to frame such a conception is to name some features that an action can have and to say that they count as reasons for someone whether or not he is (...) inclined to care about them. The problem with the resulting conception, as we have seen, is that it entails the normative judgment that one ought to be inclined to care about the specified features, on pain of irrationality, and this normative judgment requires justification. The advantage of internalism is that it avoids these normative commitments. It says that things count as reasons for someone only if he is inclined to care about them, and so it leaves the normative question of whether to care about them entirely open. Yet if we try to leave this question open, by defining things as reasons only for those inclined to care about them, we'll end up with a definition that's relativized to the inclinations of particular agents—won't we? Not necessarily. For suppose that all reasons for acting are features of a single kind, whose influence depends on a single inclination. And suppose that the inclination on which the influence of reasons depends is, not an inclination that distinguishes some agents from others, but rather an inclination that distinguishes agents from nonagents. In that case, to say that these features count as reasons only for those who are inclined to care about them will be to say that they count as reasons only for agents—which will be to say no less than that they are reasons for acting, period, since applying only to agents is already part of the concept of reasons for acting. The restriction on the application of reasons will drop away from our definition, since it restricts their application, not to some proper subset of agents, but rather to the set of all agents, which is simply the universe of application for reasons to act. (shrink)

Typically, nudging is a technique for steering the choices of people without giving reasons or using enforcement. In benevolent cases, it is used when people are insufficiently responsive to reason. The nudger triggers automatic cognitive mechanisms – sometimes even biases – in smart ways in order to push irrational people in the right direction. Interestingly, this technique can also be applied to doxastic attitudes. Someone who is doxastically unresponsive to evidence can be nudged into forming true beliefs or doxastic attitudes (...) that are propositionally justified. When doxastic nudging uses non-rational mechanisms, the worry is that nudging cannot result in justified beliefs or knowledge, as the resulting doxastic attitudes lack the right kind of basis. In this paper, I will argue that given the right background views about knowledge, justified beliefs and the relevant processes, epistemic nudging is possible even in these cases. That is, all kinds of nudging can – in appropriate circumstances – produce justified beliefs or knowledge in the nudgee. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Possibility Of Puns: A Defense of DerridaGordon C. F. BearnHow is a pun possible?—J. Derrida 1Puns are not high on the philosophical horizon. 2 Wittgenstein, it is true, thought that the depth of grammatical jokes was the same as the depth of philosophy, but it is not unusual to smile politely at this remark, and move on. 3 Jokes, like puns, are philosophically puny. Or worse. The (...) air of crime clings to puns. In some contexts the use of a pun is enough to convict one of the fallacy of equivocation, and even where “simply” fun, we refuse to laugh. By groaning, we punish the punster. Apparently we take puns more seriously than we consistently insist.Puny or not, puns do exist, and any adequate account of linguistic communication should allow for the possibility of puns. Surprisingly enough, one natural way to account for this possibility brings us very close to a Derridean domain most philosophers of language make every effort to avoid. But with this result in hand, we may be better placed to understand the seriousness which by scoffing at puns we mask.Puns can be made, but more often they are found. We can find ourselves surprised, sometimes embarrassed, by puns we have inadvertently put into play while thinking about some other, more serious, linguistic business. These are the puns I want to consider: inadvertent puns. 4 How are they possible? It is easy to think that in ordinary cases of using a word, we intentionally or contextually invoke some one of that [End Page 330] word’s possible significances and put that significance into play in our sentence. Successful communication would then consist in successfully transmitting that significance—and only that significance—to the receiver of our communication. The possibility of inadvertent puns shows that more meanings of a word are in play than those we have intentionally put into play. The possibility of puns which are not only inadvertent but also inappropriately sexual shows, in addition, that more meanings of a word are in play than are contextually called for. Inadvertent puns draw our attention to the occasional powerlessness of either context or intention to narrow down the possible significances of our spoken or written words to one. What are we to make of these facts?At a minimum, the possibility of inadvertent puns shows that more meanings of our words can be in play than we normally suppose. We might want to say that only those meanings were in play which surfaced with the inadvertent pun itself. But is there any justification for drawing the line there? The only thing that makes the situation of the inadvertent pun different from the more usual one is that we noticed the intentionally and contextually surprising meanings. But the possibility of inadvertent puns is perfectly general, so the most straightforward account of the possibility of inadvertent puns is to say that all possible significances of a word are always in play whenever it is being used. The fact that we don’t normally notice this is no more remarkable than the fact that we don’t normally notice the size of people’s ears. Inadvertent puns draw our attention to what was there all along.Immediately smelling trouble, we might consider backpedalling: insisting that the only meanings invoked by an inadvertent pun were those intentionally invoked by the producer of the pun. But that would be to deny the existence of inadvertent puns altogether; it would be to insist that they were illusory, merely apparent, artifacts of the circumstances, not really real, at all. This is as unpalatable a suggestion as that according to which the spinach was only apparently good for playing spinach tennis, simply because the cook did not intend to produce projectiles. The cook’s intentions make these qualities of the spinach unintentional, but not unreal. So, pedalling forward once again: what are the consequences of saying that whenever we use a word all of its possible significances are in play?(a) We will have to reconceive our account of interpretation. When it is a question of providing an interpretation of a spoken or written text, this hermeneutical process... (shrink)

In this paper I begin by extending two results of Solovay; the first characterizes the possible Turing degrees of models of True Arithmetic (TA), the complete first-order theory of the standard model of PA, while the second characterizes the possible Turing degrees of arbitrary completions of P. I extend these two results to characterize the possible Turing degrees of m-diagrams of models of TA and of arbitrary complete extensions of PA. I next give a construction showing that the conditions Solovay (...) identified for his characterization of degrees of models of arbitrary completions of PA cannot be dropped (I showed that these conditions cannot be simplified in the paper. (shrink)

The core argument of Jean Anyon’s classic _Radical Possibilities_ is deceptively simple: if we do not direct our attention to the ways in which federal and metropolitan policies maintain the poverty that plagues communities in American cities, urban school reform as currently conceived is doomed to fail. With every chapter thoroughly revised and updated, this edition picks up where the 2005 publication left off, including a completely new chapter detailing how three decades of political decisions leading up to the “Great (...) Recession” produced an economic crisis of epic proportions. By tracing the root causes of the financial crisis, Anyon effectively demonstrates the concrete effects of economic decision-making on the education sector, revealing in particular the disastrous impacts of these policies on black and Latino communities. Going beyond lament, _Radical Possibilities_ offers those interested in a better future for the millions of America’s poor families a set of practical and theoretical insights. Expanding on her paradigm for combating educational injustice, Anyon discusses the Occupy Wall Street movement as a recent example of popular resistance in this new edition, set against a larger framework of civil rights history. A ringing call to action, _Radical Possibilities_ reminds readers that throughout U.S. history, equitable public policies have typically been created as a result of the political pressure brought to bear by social movements. Ultimately, Anyon’s revelations teach us that the current moment contains its own very real radical possibilities. (shrink)

"This is a book about humanists, but even humanists cannot agree on what a humanist is," declares Sarah Bakewell. Indeed, for centuries now, thinkers, writers, scholars, politicians, activists, artists, and countless others have been searching for and refining a philosophy of the human spirit. Humanism can be found in writings of Plato and Protagoras and in the thought of Confucius. It is ever-present in the work of Michel de Montaigne, and guided the thinking and activism of Harriet Taylor Mill. When (...) Zora Neale Hurston writes, "Somebody else may have my rapturous glance at the archangels. The springing of the yellow line of morning out of the misty deep of dawn, is glory enough for me." That is humanism par excellence. In Humanly Possible, Bakewell puts forward that all the different meanings of "humanism" are worth looking at together because they are all concerned with humanitas, or, as she puts it, "our culture and learning, our words and art, our good manners and sociable desire to say hello to the universe." What unites humanists, religious or not, scholarly or not, philosophical or not, is that they all put the human world of culture and morality at the center of their concerns. What could be more human than that? Embracing and indeed celebrating humanism's swirling, kaleidoscopic, rich ambiguity, Bakewell sets out not just to trace this vital philosophical lineage through the lives of its major protagonists but in fact to make her own dazzling contribution to its expansive literature. The result is an intoxicating, joyful celebration of the human spirit from one of our most beloved and charming writers. (shrink)

In traditional semantics for classical logic and its extensions, such as modal logic, propositions are interpreted as subsets of a set, as in discrete duality, or as clopen sets of a Stone space, as in topological duality. A point in such a set can be viewed as a "possible world," with the key property of a world being primeness—a world makes a disjunction true only if it makes one of the disjuncts true—which classically implies totality—for each proposition, a world either (...) makes the proposition true or makes its negation true. This chapter surveys a more general approach to logical semantics, known as possibility semantics, which replaces possible worlds with possibly partial "possibilities." In classical possibility semantics, propositions are interpreted as regular open sets of a poset, as in set-theoretic forcing, or as compact regular open sets of an upper Vietoris space, as in the recent theory of "choice-free Stone duality." The elements of these sets, viewed as possibilities, may be partial in the sense of making a disjunction true without settling which disjunct is true. We explain how possibilities may be used in semantics for classical logic and modal logics and generalized to semantics for intuitionistic logics. The goals are to overcome or deepen incompleteness results for traditional semantics, to avoid the nonconstructivity of traditional semantics, and to provide richer structures for the interpretation of new languages. (shrink)

Four years after the publication of Wittgenstein's Investigations, Rush Rhees began writing critical reflections on the masterpiece he had helped to edit. In this edited collection of his previously unpublished writings, Rhees argues, contra Wittgenstein, that although language lacks the unity of a calculus it is not simply a family of language games. The unity of language is found in its dialogical character. It is in this context that we say something, and grow in understanding: notions not captured in Wittgenstein's (...) emphasis on language games, following rules, and using language. Rhees develops Wittgenstein's notion that to imagine a language is to image a form of life, without suggesting that we are all engaged in an all-inclusive conversation. The result is not only a major contribution to Wittgenstein scholarship, but an original discussion of central philosophical questions concerning the possibility of discourse. (shrink)

In “Properties and the Interpretation of Second-Order Logic” Bob Hale develops and defends a deflationary conception of properties where a property with particular satisfaction conditions actually exists if and only if it is possible that a predicate with those same satisfaction conditions exists. He argues further that, since our languages are finitary, there are at most countably infinitely many properties and, as a result, the account fails to underwrite the standard semantics for second-order logic. Here a more lenient version (...) of the view is explored, which allows for the possibility of countably infinite predicates understood as the product of linguistic supertasks. This enriched deflationist account of properties—the Infinitary Deflationary Conception of Existence—supports the standard semantics for models with countable first-order domains, and allows one to prove the categoricity of the second-order Peano axioms. (shrink)

The standard semantics for counterfactuals ensures that any counterfactual with a true antecedent and true consequent is itself true. There have been many recent attempts to amend the standard semantics to avoid this result. I show that these proposals invalidate a number of further principles of the standard logic of counterfactuals. The case against the automatic truth of counterfactuals with true components does not extend to these further principles, however, so it is not clear that rejecting the latter should (...) be a consequence of rejecting the former. Instead I consider how one might defuse putative counterexamples to the truth of true-true counterfactuals. (shrink)

Some defenders of the principle of alternative possibilities (PAP) have responded to the challenge of Frankfurt-style counterexamples (FSCs) to PAP by arguing that there remains a “flicker of freedom” -- that is, an alternative possibility for action -- left to the agent in FSCs. I argue that the flicker of freedom strategy is unsuccessful. The strategy requires the supposition that doing an act-on-one's-own is itself an action of sorts. I argue that either this supposition is confused and leads to (...) counter-intuitive results; or, if the supposition is acceptable, then it is possible to use it to construct a FSC in which there is no flicker of freedom at all. Either way, the flicker of freedom strategy is ineffective against FSCs. Since the flicker of freedom strategy is arguably the best defense of PAP, I conclude that FSCs are successful in showing that PAP is false. An agent can act with moral responsibility without having alternative possibilities available to her. (shrink)

The past few years have seen a resurgence of interest in the scientific study of magic. Despite being only a few years old, this “new wave” has already resulted in a host of interesting studies, often using methods that are both powerful and original. These developments have largely borne out our earlier hopes (Kuhn et al., 2008) that new opportunities were available for scientific studies based on the use of magic. And it would seem that much more can still be (...) done along these lines. -/- But in addition to this, we also suggested that it might be time to consider developing an outright science of magic—a distinct area of study concerned with the experience of wonder that results from encountering an apparently impossible event1. To this end, we proposed a framework as to how this might be achieved (Rensink and Kuhn, 2015). A science can be viewed as a systematic method of investigation involving three sets of issues: (i) the entities considered relevant, (ii) the kinds of questions that can be asked about them, and (iii) the kinds of answers that are legitimate (Kuhn, 1970). In the case of magic, we suggested that this could be done at three different levels, each focusing on a distinct set of issues concerned with the nature of magic itself: (i) the nature of magical experience, (ii) how individual magic tricks create this experience, and (iii) organizing knowledge of the set of known tricks in a more comprehensive way (Rensink and Kuhn, 2015). Our framework also included a base level focused on how the methods of magic could be used as tools to investigate issues in existing fields of study. -/- Lamont (2010) and Lamont et al. (2010) raised a number of concerns about the possibility of such a science, which we have addressed (Rensink and Kuhn, 2015). More recently, Lamont (2015) raised a new objection, arguing that although base-level work (i.e., applications of magic methods) might be useful, there is too little structure in magic tricks for them to be studied in a systematic way at the other levels, ruling out a science of magic. We argue here, however, that although this concern raises some interesting challenges for this science, it does not negate the possibility that it could exist, and could contribute to the study of the mind. (shrink)

In this paper, a novel experimental task is developed for testing the highly influential, but experimentally underexplored, possible worlds account of conditionals (Stalnaker, 1968; Lewis, 1973). In Experiment 1, this new task is used to test both indicative and subjunctive conditionals. For indicative conditionals, five competing truth tables are compared, including the previously untested, multi-dimensional possible worlds semantics of Bradley (2012). In Experiment 2, these results are replicated and it is shown that they cannot be accounted for by an alternative (...) hypothesis proposed by our reviewers. In Experiment 3, individual variation in truth assignments of indicative conditionals is investigated via Bayesian mixture models that classify participants as following one of several competing models. As a novelty of this study, it is found that a possible worlds semantics of Lewis and Stalnaker is capable of accounting for participants’ aggregate truth value assignments in this task. Applied to indicative conditionals, we show across three experiments, that the theory both captures participants’ truth values at the aggregate level (Experiments 1 and 2) and that it makes up the largest subgroup in the analysis of individual variation in our experimental paradigm (Experiment 3). (shrink)

In, I put forward a “possibility result” for Bayesian Coherentism, showing that there exist plausible sets of ceteris paribus conditions that imply that coherence is truth-conducive. Against this result, Schubert argues that the specific ceteris paribus conditions I consider are “jointly inconsistent”. In this article, I prove to the contrary that these conditions can consistently be enforced while allowing degrees of coherence to vary. Next, I consider a related criticism, inspired by Olsson’s constraints on ceteris paribus conditions. (...) This leads to a general discussion of the principle that should guide one in choosing appropriately stringent ceteris paribus conditions.En planteo un “resultado de posibilidad” para el bayesianismo coherentista mostrando que existen conjuntos plausibles de condiciones ceteris paribus que implican que la coherencia conduce a la verdad. Schubert argumenta en contra de este resultado que las condiciones ceteris paribus que considero son “inconsistentes tomadas conjuntamente”. En este articulo demuestro, sin embargo, que estas condiciones pueden ser satisfechas permitiendo que los grados de coherencia varien. Abordo despues una critica relacionada con la anterior e inspirada en los requisitos impuestos por Olsson a las condiciones ceteris paribus. Eso lleva a una discusion general del principio, o principios, que deberia guiarnos para elegir unas condiciones ceterisparibus que sean apropiadas, es decir, que no sean ni muy restrictivas, ni demasiado laxas. (shrink)

We extend results of Harizanov and Barker. For a relation R on a recursive structure /oA, we give conditions guaranteeing that the image of R in a recursive copy of /oA can be made to have arbitrary ∑α0 degree over Δα0. We give stronger conditions under which the image of R can be made ∑α0 degree as well. The degrees over Δα0 can be replaced by certain more general classes. We also generalize the Friedberg-Muchnik Theorem, giving conditions on a pair (...) of relations R and S under which the images of R and S can be made ∑α0 and independent over Δα0 in a recursive copy of /oA. (shrink)

This chapter discusses Kant's 1763 "possibility proof" for the existence of God. I first provide a reconstruction of the proof in its two stages, and then revisit my earlier argument according to which the being the proof delivers threatens to be a Spinozistic-panentheistic God—a being whose properties include the entire spatio-temporal universe—rather than the traditional, ontologically distinct God of biblical monotheism. I go on to evaluate some recent alternative readings that have sought to avoid this result by arguing (...) that the relevant facts about real modality can be ultimately grounded in God’s powers or thoughts – or that Kant just leaves the grounding relations mysterious. I argue that the textual and philosophical costs of each of these alternative readings are formidable. The chapter concludes with a discussion of the fate of the proof in the critical period. Some commentators think that it disappears altogether, or that it is downgraded such that it produces a mere regulative idea of God as the most real being. I suggest that the proof survives but that the mode of assent it licenses towards its conclusion changes from knowledge to a certain kind of Belief (Glaube). (shrink)

This paper develops a largely neglected parallel between prudence and population ethics. Prudence is generally understood to be concerned with the balancing of well-being over time. How, precisely, well-being ought to be balanced over time, however, is a fervently debated question. I argue that developing a standard guiding such evaluations is exceedingly challenging. This is due to an often overlooked fact about prudence, namely that it shares a structural similarity with population ethics: In both contexts, we assess the comparative value (...) of populations of personstages/people, which may vary in number and level of well-being. Based on this analogy, I show that the development of an adequate theory of prudence runs into very similar impossibility results as obtain in population ethics. In particular, I prove that Arrhenius’ fifth impossibility theorem can be applied to prudence. I develop and compare four possible answers to this challenge. First, I discuss the possibility of accepting the very repugnant conclusion intrapersonally. Second, I present and further develop Donald Bruckner’s Minimax Regret approach, which gives up Transitivity. Third, I apply Jacob Nebel’s Lexical Threshold View to prudence and critically evaluate it. Lastly, I introduce what I call the Negative Lexicality View, which is based on Lexical Threshold View but overcomes some of its problems. (shrink)

Conditional probability is often used to represent the probability of the conditional. However, triviality results suggest that the thesis that the probability of the conditional always equals conditional probability leads to untenable conclusions. In this paper, I offer an interpretation of this thesis in a possible worlds framework, arguing that the triviality results make assumptions at odds with the use of conditional probability. I argue that these assumptions come from a theory called the operator theory and that the rival restrictor (...) theory can avoid these problematic assumptions. In doing so, I argue that recent extensions of the triviality arguments to restrictor conditionals fail, making assumptions which are only justified on the operator theory. (shrink)

Kripkean examples of necessary a posteriori truths clearly provide a challenge to attempts to connect facts about possibility to facts about what people can conceive. The paper argues for a general principle connecting imaginability under certain special circumstances to possibility; it also discusses some of the issues raised by the resulting position.

Combining non-classical (or sub-classical) logics is not easy, but it is very interesting. In this paper, we combine nonclassical logics of negation and possibility (in the presence of conjunction and disjunction), and then we combine the resulting systems with intuitionistic logic. We will find that Kracht's results on the undecidability of classical modal logics generalise to a non-classical setting. We will also see conditions under which intuitionistic logic can be combined with a non-intuitionistic negation without corrupting the intuitionistic fragment (...) of the logic. (shrink)

In “The Possibility of Epistemic Nudging” (2021), I address a phenomenon that is widely neglected in the current literature on nudges: intentional doxastic nudging, i.e. people’s intentional influence over other people’s beliefs, rather than over their choices. I argue that, at least in brute cases, nudging is not giving reasons, but rather bypasses reasoning altogether. More specifically, nudging utilizes psychological heuristics and the nudged person’s biases in smart ways. The goal of my paper is to defend the claim that (...) nudging, even when it bypasses reasoning, can result in justified beliefs and knowledge. As I argue, it takes two things to accomplish this goal: suitable meta-epistemological views and appropriate circumstances. If a broadly reliabilist account of justified beliefs and knowledge is correct, and if the relevant belief-forming methods are externally individuated in the right way, then nudging to knowledge is possible. If, in addition, the nudger is knowledgeable, epistemically benevolent and systematically effective, then nudging to knowledge will become reality. In their replies Neil Levy (2021) and Jonathan Matheson and Valerie Joly Chock (2021), put pressure on my argument from different angles. Levy thinks that a better case can be made for his view that nudging is giving testimonial reasons, and finds my objections to this view unconvincing. Matheson and Joly Chock, on the other hand, point out that acquiring knowledge through nudging (i.e. epistemic nudging) is compatible with evidentialism, even if nudging is not giving reasons. On their view, evidentialism provides an explanation of epistemic nudging that is superior to my own account, which, according to them, also suffers from a number of counterintuitive consequences. I am grateful to my critics for raising these concerns, because considering them deepens our perspective on the target phenomenon, and has made me think harder about the relevant epistemological issues. Nevertheless, I am convinced that my core claims can be defended against these criticisms. (shrink)

In the process of arguing against all theories of extended material objects made up of simples, Dean Zimmerman has recently argued against the compossibility of continuous closed and continuous open material objects. But it is surely undeniable that point-like material objects are possible; plausible principles of recombination and the principle of unrestricted composition then lead to the possibility Zimmerman rejects. Fortunately, Zimmerman’s arguments can be resisted: what appear to be implausible modal consequences of the compossibility of open and closed (...) continuous material objects turn out to be merely the results of a decision to use ‘material object’ in a certain way. (shrink)

If a possible-worlds semantic theory for modal logics is pure, then the assertion of the theory, taken at face-value, can bring no commitment to the existence of a plurality of possible worlds (genuine or ersatz). But if we consider an applied theory (an application of the pure theory) in which the elements of the models are required to be possible worlds, then assertion of such a theory, taken at face-value, does appear to bring commitment to the existence of a plurality (...) of possible worlds. Or at least that is so if the applied theory is adequate. For an applied possible-worlds semantic theory that is constrained to contain only one-world models is bound to deliver results on validity, soundness and completeness that are apt to seem disastrous. I attempt to steer a course between commitment to the existence of a plurality of possible worlds and commitment to such a disastrous applied possible-worlds semantics by noting, and developing, the position of one who asserts such a theory at face-value but who remains agnostic about the existence of other (non-actualized) possible worlds. Thus, a novel interpretation of applied possible-worlds semantics is offered on which we may lay claim to whatever benefits such a theory offers while avoiding realism about (other) possible worlds. Thereby, the contention that applied possible-worlds semantics gives us reason to be realists about possible worlds is (further) undermined. (shrink)