Regular musical activity as a complex multimodal lifestyle activity is proposed to be protective against age-related cognitive decline and Alzheimer’s disease. This cross-sectional study investigated the association and interplay between musical instrument playing during life, multi-domain cognitive abilities and brain morphology in older adults from the DZNE-Longitudinal Cognitive Impairment and Dementia Study study. Participants reporting having played a musical instrument across three life periods were compared to controls without a history of musical instrument playing, well-matched for reserve proxies of education, (...) intelligence, socioeconomic status and physical activity. Participants with musical activity outperformed controls in global cognition, working memory, executive functions, language, and visuospatial abilities, with no effects seen for learning and memory. The musically active group had greater gray matter volume in the somatosensory area, but did not differ from controls in higher-order frontal, temporal, or hippocampal volumes. However, the association between gray matter volume in distributed frontal-to-temporal regions and cognitive abilities was enhanced in participants with musical activity compared to controls. We show that playing a musical instrument during life relates to better late-life cognitive abilities and greater brain capacities in OA. Musical activity may serve as a multimodal enrichment strategy that could help preserve cognitive and brain health in late life. Longitudinal and interventional studies are needed to support this notion. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Why music? The Foundations of Music Education from Plato until Today by Øivind VarkøyDaniela BartelsØivind Varkøy, Warum Musik? Zur Begründung des Musikunterrichts von Platon bis heute [Why music? The Foundations of Music Education from Plato until Today], Stefan Gies, trans. with the assistance of Hanne Fossum (Innsbruck, Esslingen, Bern-Belp: Helbling, 2016)Øivind Varkøy's book Why music? was first published in Norway in 1993 and translated into Swedish three (...) years later. In 2016, a newly revised edition was published in German. This review refers to the German edition and a special focus will be on the third chapter, because Varkøy's convincing interpretation of Kant's theory of aesthetic judgement presents a counter narrative to other interpretations of this theory that have been in circulation in North America for quite some time.In the introduction, Varkøy explains that it is his intention to present a diverse array of reasons for teaching music. He also explains why (future) music teachers should reflect on these reasons and the possible values of their professional actions: "A clear stance on the value of one's own work will have a positive effect on one's professional identity and the psychological and physical well-being."1 In the first chapter, he takes the readers back to the world of "the old Greeks"—an [End Page 224] expression that is often used in Europe—and he specifically addresses the values Plato and Aristotle have ascribed to music. The chapter starts with the mythos about mousiké as a gift from the gods and Varkøy explains that this term used to stand for much more than music. It included diverse forms of art such as language, poetry, and dance which were seen as means that can express order and beauty as well as a realization of harmonia which "holds the world together."2 As far as philosophies of music education are concerned, both Plato and Aristotle stress that music education serves the character formation of young people and both are quite strict concerning the way music should be taught to the young. To give an example, Plato rejects that the aulos is used in schools, because it is a woodwind instrument that served as a means of intoxication in rituals. Plato's point was that it would make the youth soft and therefore unable to contribute to the establishment of a 'good' state system. Varkøy stresses that Plato did not differentiate between the aesthetic and the ethical dimension of music, since the term kalokagathia stands for both 'the beautiful' and 'the good.' It almost seems as if Varkøy had the North American debate between the so-called 'aesthetic' and 'praxial educators' in mind when he wrote this chapter, and it is a pity that he does not go into more detail concerning the terms 'the beautiful' and 'the good.' On the other hand, he gives a clear summary of the different functions Aristotle has ascribed to music. He emphasizes that Aristotle mentions the three functions of music as a source of well-being and enjoyment, as a means of character formation, and as an intellectual activity that can lead to a "higher level" of experience.3 In Aristotle's thinking, all of these functions are of value. Concerning the functions and values of music that are discussed, Varkøy abstains from passing his own judgment which leaves a welcome space for one's own thinking.In the second chapter, Varkøy focuses on the functions of music between the time of early Christianity and the time of Comenius. He puts forward an intriguing argument when he states that the Church Father Augustine, who saw the fact that people can enjoy music just for pleasure as a danger, has already pointed to the notion of music as a phenomenon with its own, intrinsic value. At the end of this chapter, Varkøy asks the readers to reflect on Comenius' distinction between "useful" knowledge and knowledge that serves "the way of making one's living."4 He returns to this distinction later on in his book.In the chapter "Progress and Reason," the focus is on... (shrink)

Stefan Collini challenges the common claim that universities need to show that they help to make money in order to justify getting more money.

Einleitung -- Charismatische Herrschaft -- Traditionale Herrschaft -- Traditionale und charismatische Herrschaft im vorrationalen Okzident: Antike -- Traditionale und charismatische Herrschaft im vorrationalen Okzident: Mittelalter -- Legale Herrschaft.

FramesIn 1934 the Belgian artist René Magritte painted a room with a view. On an easel in front of the window stands a painting depicting the very piece of landscape blocked from sight. Magritte named his painting La Condition Humaine (“The Human Condition”), which is quite apt, for the life of everyone is determined by windows, doors, mirrors and many other frames. Indeed, to avert anxiety, one actually cultivates social behavior born of the fear of being “outside the frame.” Because (...) of this apprehension, we organize all reality into a series of preestablished frames. (shrink)

The visual brain consists of several parallel, functionally specialized processing systems, each having several stages (nodes) which terminate their tasks at different times; consequently, simultaneously presented attributes are perceived at the same time if processed at the same node and at different times if processed by different nodes. Clinical evidence shows that these processing systems can act fairly autonomously. Damage restricted to one system compromises specifically the perception of the attribute that that system is specialized for; damage to a given (...) node of a processing system that leaves earlier nodes intact results in a degraded perceptual capacity for the relevant attribute, which is directly related to the physiological capacities of the cells left intact by the damage. By contrast, a system that is spared when all others are damaged can function more or less normally. Moreover, internally created visual percepts-illusions, afterimages, imagery, and hallucinations-activate specifically the nodes specialized for the attribute perceived. Finally, anatomical evidence shows that there is no final integrator station in the brain, one which receives input from all visual areas; instead, each node has multiple outputs and no node is recipient only. Taken together, the above evidence leads us to propose that each node of a processing-perceptual system creates its own microconsciousness. We propose that, if any binding occurs to give us our integrated image of the visual world, it must be a binding between microconsciousnesses generated at different nodes. Since any two microconsciousnesses generated at any two nodes can be bound together, perceptual integration is not hierarchical, but parallel and postconscious. By contrast, the neural machinery conferring properties on those cells whose activity has a conscious correlate is hierarchical, and we refer to it as generative binding, to distinguish it from the binding that might occur between the microconsciousnesses. (shrink)

According to an increasingly popular view among philosophers of science, both causal and non-causal explanations can be accounted for by a single theory: the counterfactual theory of explanation. A kind of non-causal explanation that has gained much attention recently but that this theory seems unable to account for are grounding explanations. Reutlinger :239-256, 2017) has argued that, despite these appearances to the contrary, such explanations are covered by his version of the counterfactual theory. His idea is supported by recent work (...) on grounding by Schaffer and Wilson who claim there to be a tight connection between grounding and counterfactual dependence. The present paper evaluates the prospects of the idea. We show that there is only a weak sense in which grounding explanations convey information about counterfactual dependencies, and that this fact cannot plausibly be taken to reveal a distinctive feature that grounding explanations share with other kinds of explanations. (shrink)

Artificial Intelligence (AI) is increasingly adopted in society, creating numerous opportunities but at the same time posing ethical challenges. Many of these are familiar, such as issues of fairness, responsibility and privacy, but are presented in a new and challenging guise due to our limited ability to steer and predict the outputs of AI systems. This chapter first introduces these ethical challenges, stressing that overviews of values are a good starting point but frequently fail to suffice due to the context (...) sensitivity of ethical challenges. Frequently, additional (ethical) values emerge for specific applications, as e.g. challenges with fraud detection are very different from those around language technologies. Second, methods to tackle these challenges are discussed. Main ethical theories (virtue ethics, consequentialism, and deontology) are shown to provide a starting point, but often lack the details needed for actionable AI Ethics. Instead, mid-level philosophical theories coupled to design-approaches such as Design for Values, together with interdisciplinary working methods, offer the best way forwards. The chapter aims to show how these approaches can lead to an ethics of AI that is actionable and that can be proactively integrated in the design of AI systems. (shrink)

Explainable artificial intelligence (XAI) aims to help people understand black box algorithms, particularly of their outputs. But what are these explanations and when is one explanation better than another? The manipulationist definition of explanation from the philosophy of science offers good answers to these questions, holding that an explanation consists of a generalization that shows what happens in counterfactual cases. Furthermore, when it comes to explanatory depth this account holds that a generalization that has more abstract variables, is broader in (...) scope and/or more accurate is better. By applying these definitions and contrasting them with alternative definitions in the XAI literature I hope to help clarify what a good explanation is for AI. (shrink)

Dieses Lehrbuch behandelt zentrale naturphilosophische Probleme, die durch Theorien der modernen Naturwissenschaften aufgeworfen werden. Es fragt, welches Bild von Raum, Zeit, Materie, Leben und Bewusstsein sich aus ihnen ergibt, aber auch nach den Konsequenzen der aktuellen Umweltkrise für unser praktisches Verhältnis zur Natur. Der Autor Prof. em. Dr. Andreas Bartels hat Mathematik, Physik und Philosophie studiert und ist emeritierter Professor für Natur- und Wissenschaftsphilosophie an der Universität Bonn.

This imaginative and unusual book explores the moral sensibilities and cultural assumptions that were at the heart of political debate in Victorian and early twentieth-century Britain. It focuses on the role of intellectuals as public moralists and suggests ways in which their more formal political theory rested upon habits of response and evaluation that were deeply embedded in wider social attitudes and aesthetic judgments. Collini examines the characteristic idioms and strategies of argument employed in periodical and polemical writing, and reconstructs (...) the sense of identity and of relation to an audience exhibited by social critics from John Stuart Mill and Matthew Arnold to J.M. Keynes and F.R. Leavis. (shrink)

Examines widespread myths about transhumanism and explores the most pressing ethical issues in the debate over technologically assisted human enhancement.

Three studies test eight hypotheses about (1) how judgment differs between people who ascribe greater vs. less moral relevance to choices, (2) how moral judgment is subject to task constraints that shift evaluative focus (to moral rules vs. to consequences), and (3) how differences in the propensity to rely on intuitive reactions affect judgment. In Study 1, judgments were affected by rated agreement with moral rules proscribing harm, whether the dilemma under consideration made moral rules versus consequences of choice salient, (...) and by thinking styles (intuitive vs. deliberative). In Studies 2 and 3, participants evaluated policy decisions to knowingly do harm to a resource to mitigate greater harm or to merely allow the greater harm to happen. When evaluated in isolation, approval for decisions to harm was affected by endorsement of moral rules and by thinking style. When both choices were evaluated simultaneously, total harm -- but not the do/allow distinction -- influenced rated approval. These studies suggest that moral rules play an important, but context-sensitive role in moral cognition, and offer an account of when emotional reactions to perceived moral violations receive less weight than consideration of costs and benefits in moral judgment and decision making. (shrink)

Morgan Luck raises a potentially troubling problem for gamers who enjoy video games that allow the player to commit acts of virtual murder. The problem simply is that the arguments typically advanced to defend virtual murder in video games would appear to also support video games that allowed gamers to commit acts of virtual paedophilia. Luck’s arguments are persuasive, however, there is one line of argument that he does not consider, which may provide the relevant distinction: as virtual paedophilia involves (...) the depiction of sexual acts involving children, it is therefore an instance of child pornography. I argue that virtual paedophilia involves the depiction of sexual acts involving children, which amounts to child pornography. I then draw on arguments to show that child pornography is morally objectionable. Finally, depictions of virtual murder are not instances of pornography, and so are not morally objectionable for this reason. So, there is a relevant moral distinction to draw between virtual murder and virtual paedophilia that is able to justify the former but not the latter. (shrink)

This study defends the legitimacy of the Enlightenment project by way of its different realizations in the philosophies of Immanuel Kant and Friedrich Heinrich Jacobi. Today, Enlightenment as a cosmopolitan project with a global claim is often considered synonymous with Western chauvinism. The assertion of a universally binding reason is all too obviously inconsistent with the much-cited recognition of cultural differences. In contrast, it is the conviction brought forward in this book that an adequately understood Enlightenment is an unconditional right (...) of every person taking an active interest in a self-determined way of life. Only the realization of this conception of Enlightenment can provide the required space for the reciprocal recognition of human differences to freely unfold. (shrink)

Between 1918 and 1933, the masses became a decisive preoccupation of European culture, fueling modernist movements in art, literature, architecture, theater, and cinema, as well as the rise of communism and fascism and experiments in radical democracy. Spanning aesthetics, cultural studies, intellectual history, and political theory, this volume unpacks the significance of the shadow agent known as "the mass" during a critical period in European history. It follows its evolution into the preferred conceptual tool for social scientists, the ideal slogan (...) for politicians, and the chosen image for artists and writers trying to capture a society in flux and a people in upheaval. This volume is the second installment in Stefan Jonsson's epic study of the crowd and the mass in modern Europe, building on his work in _A Brief History of the Masses_, which focused on monumental artworks produced in 1789, 1889, and 1989. (shrink)

The aim of this paper is to defend the structural concept of representation, as defined by homomorphisms, against its main objections, namely: logical objections, the objection from misrepresentation, theobjection from failing necessity, and the copy theory objection. The logical objections can be met by reserving the relation ‘to be homomorphic to’ for the explication of potential representation (or, of the representational content). Actual reference objects (‘targets’) of representations are determined by (intentional or causal) representational mechanisms. Appealing to the independence of (...) the dimensions of ‘content’ and ‘target’ also helps to see how the structural concept can cope with misrepresentation. Finally, I argue that homomorphic representations are not necessarily ‘copies’ of their representanda, and thus can convey scientific insight. (shrink)

The paper defends the structural concept of representation, defined by homomorphisms, against the main objections that have been raised against it: Logical objections, the objection from misrepresentation, the objection from failing necessity, and the copy theory objection. Homomorphic representations are not necessarily ‘copies’ of their representanda, and thus can convey scientific insight.

In the recent literature on concepts, two extreme positions concerning animal minds are predominant: the one that animals possess neither concepts nor beliefs, and the one that some animals possess concepts as well as beliefs. A characteristic feature of this controversy is the lack of consensus on the criteria for possessing a concept or having a belief. Addressing this deficit, we propose a new theory of concepts which takes recent case studies of complex animal behavior into account. The main aim (...) of the paper is to present an epistemic theory of concepts and to defend a detailed theory of criteria for having concepts. The distinction between nonconceptual, conceptual, and propositional representations is inherent to this theory. Accordingly, it can be reasonably argued that some animals, e.g., grey parrots and apes, operate on conceptual representations. (shrink)

Is it ever morally wrong to enjoy fantasizing about immoral things? Many video games allow players to commit numerous violent and immoral acts. But, should players worry about the morality of their virtual actions? A common argument is that games offer merely the virtual representation of violence. No one is actually harmed by committing a violent act in a game. So, it cannot be morally wrong to perform such acts. While this is an intuitive argument, it does not resolve the (...) issue. -/- Focusing on why individual players are motivated to entertain immoral and violent fantasies, Video Games, Violence, and the Ethics of Fantasy advances debates about the ethical criticism of art, not only by shining light on the interesting and under-examined case of virtual fantasies, but also by its novel application of a virtue ethical account. Video games are works of fiction that enable players to entertain a fantasy. So, a full understanding of the ethical criticism of video games must focus attention on why individual players are motivated to entertain immoral and violent fantasies. -/- Video Games, Violence, and the Ethics of Fantasy engages with debates and critical discussions of games in both the popular media and recent work in philosophy, psychology, media studies, and game studies. (shrink)

The paper defends the structural concept of representation, defined by homomorphisms, against the main objections that have been raised against it: Logical objections, the objection from misrepresentation, the objection from failing necessity, and the copy theory objection. Homomorphic representations are not necessarily ‘copies’ of their representanda, and thus can convey scientific insight.

Philosophers of music often appeal to intuition to defend ontological theories of musical works. This practice is worrisome as it is rather unclear just how widely shared are the intuitions that philosophers appeal to. In this paper, I will first offer a brief overview of the debate over the ontology of musical works. I will argue that this debate is driven by a conflict between two seemingly plausible intuitions—the repeatability intuition and the creatability intuition—both of which may be defended on (...) the grounds that they are reflective of our actual musical practices. The problem facing philosophers within this debate is that there is no clear way to determine which of the two conflicting intuitions is more reflective of our musical practices. Finally, I offer discussion of an experimental study that was designed to test participants' intuitions regarding the repeatability of musical works. The evidence presented there suggests that the participants broadly accept the repeatability of musical works, but in a much narrower way than philosophers would likely accept. (shrink)

The aim of this paper is to defend the structural concept of representation, as defined by homomorphisms, against its main objections, namely: logical objections, the objection from misrepresentation, theobjection from failing necessity, and the copy theory objection. The logical objections can be met by reserving the relation.

Sexual exploitation and abuse (SEA) by United Nations (UN) peacekeepers causes severe physical and psychological consequences. Where SEA leads to pregnancy and childbirth, peacekeepers typically absolve themselves of their paternal responsibilities and paternity suits are largely unsuccessful. The lack of support for peacekeeper-fathered children (PKFC) tarnishes the image of the UN who fails to implement a victim-centred approach to SEA. Analysing shortcomings in the provision of support, this article presents an evaluation of the UN’s accountability system from the perspective of (...) PKFC families. In-depth interviews with thirty-five PKFC and sixty mothers demonstrate local barriers to child support and paternity claims in eastern Democratic Republic of Congo. We discuss PKFC’s need for assistance and their mothers’ attempts to navigate an opaque international legal system. The findings cast light on their limited access to UN subsidies and offer recommendations to better implement existing UN goals of justice and victim-oriented policies. (shrink)

How do we get out knowledge of the natural numbers? Various philosophical accounts exist, but there has been comparatively little attention to psychological data on how the learning process actually takes place. I work through the psychological literature on number acquisition with the aim of characterising the acquisition stages in formal terms. In doing so, I argue that we need a combination of current neologicist accounts and accounts such as that of Parsons. In particular, I argue that we learn the (...) initial segment of the natural numbers on the basis of the Fregean definitions, but do not learn the natural number structure as a whole on the basis of Hume's principle. Therefore, we need to account for some of the consistency of our number concepts with the Dedekind-Peano axioms in other terms. (shrink)

Sur la décomposition des ensembles de points en parties respectivement congruentes.

Should we take into account an artist's personal moral failings when appreciating or evaluating the work? In this essay, I seek to expand Berys Gaut's account of ethicism by showing how moral judgment of an artist's private moral actions can figure in one's overall evaluation of their work. To expand Gaut's view, I argue that the artist's personal morality is relevant to our evaluation of their work because we may only come to understand the point of view of the work, (...) and therefore the work's prescribed attitude, by examining the values, attitudes, and behaviors of the artist. This view is defended against a rival account offered by Bernard Wills and Jason Holt, which holds that the artistic evaluation of an artist's work is independent from the moral evaluation of their life except in extreme cases. (shrink)

Stefan Jonsson uses three monumental works of art to build a provocative history of popular revolt: Jacques-Louis David's _The Tennis Court Oath_ (1791), James Ensor's _Christ's Entry into Brussels in 1889_ (1888), and Alfredo Jaar's _They Loved It So Much, the Revolution_ (1989). Addressing, respectively, the French Revolution of 1789, Belgium's proletarian messianism in the 1880s, and the worldwide rebellions and revolutions of 1968, these canonical images not only depict an alternative view of history but offer a new understanding (...) of the relationship between art and politics and the revolutionary nature of true democracy. Drawing on examples from literature, politics, philosophy, and other works of art, Jonsson carefully constructs his portrait, revealing surprising parallels between the political representation of "the people" in government and their aesthetic representation in painting. Both essentially "frame" the people, Jonsson argues, defining them as elites or masses, responsible citizens or angry mobs. Yet in the aesthetic fantasies of David, Ensor, and Jaar, Jonsson finds a different understanding of democracy-one in which human collectives break the frame and enter the picture. Connecting the achievements and failures of past revolutions to current political issues, Jonsson then situates our present moment in a long historical drama of popular unrest, making his book both a cultural history and a contemporary discussion about the fate of democracy in our globalized world. (shrink)

The intuitive, folk concept of hypocrisy is not a unified moral category. While many theorists hold that all cases of hypocrisy involve some form of deception, I argue that this is not the case. Instead, I argue for a disjunctive account of hypocrisy whereby all cases of “hypocrisy” involve either the deceiving of others about the sincerity of an agent's beliefs or the lack of will to carry through with the demands of an agent's sincere beliefs. Thus, all cases of (...) hypocrisy can be described either as cases of deception or as cases of akrasia. If this analysis correct, then I suggest further that the moral status of all instances of hypocrisy must be reduced either to the moral blameworthiness of deception or to the moral blameworthiness of akrasia. There can be no unified account of the moral wrongness of “hypocrisy” that holds across the disjunction. (shrink)

In this paper Modern Essentialism is used to solve a problem of individuation of spacetime points in General Relativity that has been raised by a New Leibnizian Argument against spacetime substantivalism, elaborated by Earman and Norton. An earlier essentialistic solution, proposed by Maudlin, is criticized as being against both the spirit of metrical essentialism and the fundamental principles of General Relativity. I argue for a modified essentialistic account of spacetime points that avoids those obstacles.

Can a player be held morally responsible for the choices that she makes within a videogame? Do the moral choices that the player makes reflect in any way on the player’s actual moral sensibilities? Many videogames offer players the options to make numerous choices within the game, including moral choices. But the scope of these choices is quite limited. I attempt to analyze these issues by drawing on philosophical debates about the nature of free will. Many philosophers worry that, if (...) our actions are predetermined, then we cannot be held morally responsible for them. However, Harry Frankfurt’s compatibilist account of free will suggests that an agent can be held morally responsible for actions that she wills, even if the agent is not free to act otherwise. Using Frankfurt’s analysis, I suggest that videogames represent deterministic worlds in which players lack the ability to freely choose what they do, and yet players can be held morally responsible for some of their actions, specifically those actions that the player wants to do. Finally, I offer some speculative comments on how these considerations might impact our understanding of the player’s moral psychology as it relates to the ethics of imagined fictional events. (shrink)

The study examines the relationship between the strength of an organizationÕs ethical climate and ethical problems involving human resource management. Data were collected through a survey of 1078 human resource managers. The results indicate a statistically significant negative relationship between the strength of an organization'ss ethical climate and the seriousness of ethical violations and a statistically significant positive relationship between an organization'ss ethical climate and success in responding to ethical issues. Thus, interventions that strengthen an organization'ss ethical climate may help (...) manage ethical behavior within organizations. (shrink)

The Approximate Number System (ANS) is a system that allows us to distinguish between collections based on the number of items, though only if the ratio between numbers is high enough. One of the questions that has been raised is what the representations involved in this system represent. I point to two important constraints for any account: (a) it doesn’t involve numbers, and (b) it can account for the approximate nature of the ANS. Furthermore, I argue that representations of pure (...) magnitude with vehicles that have an imprecision in the value of the unit of measurement (further clarified through a formal model from measurement theory) fit both these requirements. (shrink)

The topic of this thesis is axiological uncertainty – the question of how you should evaluate your options if you are uncertain about which axiology is true. As an answer, I defend Expected Value Maximisation (EVM), the view that one option is better than another if and only if it has the greater expected value across axiologies. More precisely, I explore the axiomatic foundations of this view. I employ results from state-dependent utility theory, extend them in various ways and interpret (...) them accordingly, and thus provide axiomatisations of EVM as a theory of axiological uncertainty. (shrink)

In this annotated critical edition of Aristotle’s Metaphysics Lambda Stefan Alexandru draws upon many hitherto unexplored sources of the direct and indirect tradition, inter alia upon an independent Greek manuscript he has discovered in the Vatican Library.

Die Frage nach Sinn ist eine bleibend existentielle Frage des Menschen. Sie wird dringend aktuell in einer Zeit zunehmender Säkularisierung und Multioptionalität. Eine Theologie, die die Gesellschft prägen will, muss hierzu eine Antwort aus der Mitte des christlichen Glaubens geben können. Stefan Laurs stellt sich dieser Herausforderung. In Auseinandersetzung mit Charles Taylor und Walter Kasper analysiert er den neuzeitlichen Säkularisierungsprozess und widmet sich insbesondere der damit verbundenen Frage des Menschen nach Sinn und Erfüllung. Dabei wird ersichtlich, dass die Sinnfrage (...) aus theologischer Perspektive in der Gottesfrage zur Darstellung kommt. Nur in Gott, der Liebe ist, findet der Mensch den universalen Sinn un die Erfüllung seines Lebens. (shrink)

Can concepts be acquired by testing hypotheses about these concepts? Fodor famously argued that this is not possible. Testing the correct hypothesis would require already possessing the concept. I argue that this does not generally hold for mathematical concepts. I discuss specific, empirically motivated, hypotheses for number concepts that can be tested without needing to possess the relevant number concepts. I also argue that one can test hypotheses about the identity conditions of other mathematical concepts, and then fix the application (...) conditions based on those hypotheses—under the assumption that the neo‐logicist view on abstraction principles is correct. (shrink)

Traditional monist theories of art fail to account for the diversity of objects that intuitively strike many as belonging to the category art. Some today argue that the solution to this problem requires the adoption of some version of pluralism to account for the diversity of art. We examine one recent attempt, which holds that the correct account of art must recognize the plurality of concepts of art. However, we criticize this account of concept pluralism as being unable to offer (...) an explanation of why some concept is an art concept. Instead, many of the disagreements over the definition of art could be reconciled by recognizing that works of art can be valued in a plurality of ways. By recognizing a plurality of values for art, we claim further that the definition of art becomes a non-issue. (shrink)

We provide a number of simplified and improved separations between pairs of Resolution-with-bounded-conjunction refutation systems, Res, as well as their tree-like versions, Res⁎. The contradictions we use are natural combinatorial principles: the Least number principle, LNPn and an ordered variant thereof, the Induction principle, IPn.LNPn is known to be easy for Resolution. We prove that its relativization is hard for Resolution, and more generally, the relativization of LNPn iterated d times provides a separation between Res and Res. We prove the (...) same result for the iterated relativization of IPn, where the tree-like variant Res⁎ is considered instead of Res.We go on to provide separations between the parameterized versions of Res and Res. Here we are able again to use the relativization of the LNPn, but the classical proof breaks down and we are forced to use an alternative. Finally, we separate the parameterized versions of Res⁎ and Res⁎. Here, the relativization of IPn will not work as it is, and so we make a vectorizing amendment to it in order to address this shortcoming. (shrink)