Should we believe our controversial philosophical views? Recently, several authors have argued from broadly conciliationist premises that we should not. If they are right, we philosophers face a dilemma: If we believe our views, we are irrational. If we do not, we are not sincere in holding them. This paper offers a way out, proposing an attitude we can rationally take toward our views that can support sincerity of the appropriate sort. We should arrive at our views via a certain (...) sort of ‘insulated’ reasoning – that is, reasoning that involves setting aside certain higher-order worries, such as those provided by disagreement – when we investigate philosophical questions. (shrink)

Prevailing opinion—defended by Jason Brennan and others—is that voting to change the outcome is irrational, since although the payoffs of tipping an election can be quite large, the probability of doing so is extraordinarily small. This paper argues that prevailing opinion is incorrect. Voting is shown to be rational so long as two conditions are satisfied: First, the average social benefit of electing the better candidate must be at least twice as great as the individual cost of voting, and second, (...) the chance of casting the decisive vote must be at least 1/N, where N stands for the number of citizens. It is argued that both of these conditions are often true in the real world. (shrink)

Roger White (2015) sketches an ingenious new solution to the problem of induction. He argues from the principle of indifference for the conclusion that the world is more likely to be induction- friendly than induction-unfriendly. But there is reason to be skeptical about the proposed indifference-based vindication of induction. It can be shown that, in the crucial test cases White concentrates on, the assumption of indifference renders induction no more accurate than random guessing. After discussing this result, the paper explains (...) why the indifference-based argument seemed so compelling, despite ultimately being unsound. (shrink)

There is a well-known moral quandary concerning how to account for the rightness or wrongness of acts that clearly contribute to some morally significant outcome – but which each seem too small, individually, to make any meaningful difference. One consequentialist-friendly response to this problem is to deny that there could ever be a case of this type. This paper pursues this general strategy, but in an unusual way. Existing arguments for the consequentialist-friendly position are sorites-style arguments. Such arguments imagine varying (...) a subject’s predicament bit by bit until it is clear that a relevant difference has been achieved. The arguments offered in this paper are structurally different, and do not rely on any sorites series. For this reason, they are not vulnerable to objections that have been leveled against the sorites-style arguments. (shrink)

This paper is about how to aggregate outside opinion. If two experts are on one side of an issue, while three experts are on the other side, what should a non-expert believe? Certainly, the non-expert should take into account more than just the numbers. But which other factors are relevant, and why? According to the view developed here, one important factor is whether the experts should have been expected, in advance, to reach the same conclusion. When the agreement of two (...) (or of twenty) thinkers can be predicted with certainty in advance, their shared belief is worth only as much as one of their beliefs would be worth alone. This expectational model of belief dependence can be applied whether we think in terms of credences or in terms of all-or-nothing beliefs. (shrink)

What should a person do when, through no fault of her own, she ends up believing a false moral theory? Some suggest that she should act against what the false theory recommends; others argue that she should follow her rationally held moral beliefs. While the former view better accords with intuitions about cases, the latter one seems to enjoy a critical advantage: It seems better able to render moral requirements ‘followable’ or ‘action-guiding.’ But this tempting thought proves difficult to justify. (...) Indeed, whether it can be justified turns out to depend importantly on the rational status of epistemic akrasia. Furthermore, it can be argued, from premises all parties to the moral ignorance debate should accept, that rational epistemic akrasia is possible. If the argument proves successful, it follows that a person should sometimes act against her rationally held moral convictions. (shrink)

Conciliationism faces a challenge that has not been satisfactorily addressed. There are clear cases of epistemically significant merely possible disagreement, but there are also clear cases where merely possible disagreement is epistemically irrelevant. Conciliationists have not yet accounted for this asymmetry. In this paper, we propose that the asymmetry can be explained by positing a selection constraint on all cases of peer disagreement—whether actual or merely possible. If a peer’s opinion was not selected in accordance with the proposed constraint, then (...) it lacks epistemic significance. This allows us to distinguish the epistemically significant cases of merely possible disagreement from the insignificant ones. (shrink)

On some accounts of vagueness, predicates like “is a heap” are tolerant. That is, their correct application tolerates sufficiently small changes in the objects to which they are applied. Of course, such views face the sorites paradox, and various solutions have been proposed. One proposed solution involves banning repeated appeals to tolerance, while affirming tolerance in any individual case. In effect, this solution rejects the reasoning of the sorites argument. This paper discusses a thorny problem afflicting this approach to vagueness. (...) In particular, it is shown that, on the foregoing view, whether an object is a heap will sometimes depend on factors extrinsic to that object, such as whether its components came from other heaps. More generally, the paper raises the issue of how to count heaps in a tolerance-friendly framework. (shrink)

Can machines think? Until what happened today, I thought that no human-made machine could ever think as a human does. I now know that I was wrong.

Because you are highly unlikely to cast the deciding vote in the next elections, it is often said that you don’t have a reason to vote in order to change the outcomes. In a recent paper, however, Zach Barnett forcefully argues that this is a mistake. He shows how it follows, from rather conservative assumptions, that in many real-life cases the expected social value of voting is higher than its cost. Barnett is successful, we believe, in showing (...) that the commonly held belief – that voters do not have a reason to vote in order to change the outcomes – is way too hasty. However, Barnett is – we argue in this paper – too quick on one key premise, and once this is noticed, it becomes unclear how often Barnett’s reasoning can point to a justification of voting to change the outcomes. Barnett’s reasoning, we conclude, may apply to significantly less real-life scenarios than he suggests. (shrink)

In a discussion of Parfit's Drops of Water case, Zach Barnett has recently proposed a novel argument against “No Small Improvement”; that is, the claim that a single drop of water cannot affect the magnitude of a thirsty person's suffering. We first show that Barnett's argument can be significantly strengthened, and also that the fundamental idea behind it yields a straightforward argument for the transitivity of equal suffering. We then suggest that defenders of No Small Improvement could (...) reject a Pareto principle that is presupposed in Barnett's argument and our developments of it. However, this does not save No Small Improvement, since there is a convincing argument against this claim that does not presuppose the Pareto principle. (shrink)

Logical paradoxes – like the Liar, Russell's, and the Sorites – are notorious. But in Paradoxes and Inconsistent Mathematics, it is argued that they are only the noisiest of many. Contradictions arise in the everyday, from the smallest points to the widest boundaries. In this book, Zach Weber uses “dialetheic paraconsistency” – a formal framework where some contradictions can be true without absurdity – as the basis for developing this idea rigorously, from mathematical foundations up. In doing so, Weber (...) directly addresses a longstanding open question: how much standard mathematics can paraconsistency capture? The guiding focus is on a more basic question, of why there are paradoxes. Details underscore a simple philosophical claim: that paradoxes are found in the ordinary, and that is what makes them so extraordinary. (shrink)

In the early 1920s, the German mathematician David Hilbert (1862–1943) put forward a new proposal for the foundation of classical mathematics which has come to be known as Hilbert's Program. It calls for a formalization of all of mathematics in axiomatic form, together with a proof that this axiomatization of mathematics is consistent. The consistency proof itself was to be carried out using only what Hilbert called “finitary” methods. The special epistemological character of finitary reasoning then yields the required justification (...) of classical mathematics. Although Hilbert proposed his program in this form only in 1921, various facets of it are rooted in foundational work of his going back until around 1900, when he first pointed out the necessity of giving a direct consistency proof of analysis. Work on the program progressed significantly in the 1920s with contributions from logicians such as Paul Bernays, Wilhelm Ackermann, John von Neumann, and Jacques Herbrand. It was also a great influence on Kurt Gödel, whose work on the incompleteness theorems were motivated by Hilbert's Program. Gödel's work is generally taken to show that Hilbert's Program cannot be carried out. It has nevertheless continued to be an influential position in the philosophy of mathematics, and, starting with the work of Gerhard Gentzen in the 1930s, work on so-called Relativized Hilbert Programs have been central to the development of proof theory. (shrink)

The part that the university plays is increasingly of external and economic value, ignoring the importance of the value of knowledge in itself. By analyzing the university's current relationship with knowledge, this book tackles the problem head-on. It considers how the concept of knowledge can be reclaimed in an era of post truth and alternative fact, provides conceptual tools for people to think and debate about knowledge and education in new ways and offers a clear focus for the future development (...) of academia. This fascinating book is recommended reading to anyone engaged with the idea of rethinking universities in the 21st century. (shrink)

According to a traditional Cartesian epistemology of perception, perception does not provide one with direct knowledge of the external world. Instead, your immediate perceptual evidence is limited to facts about your own visual experience, from which conclusions about the external world must be inferred. Cartesianism faces well-known skeptical challenges. But this chapter argues that any anti-Cartesian view strong enough to avoid these challenges must license a way of updating one’s beliefs in response to anticipated experiences that seems diachronically irrational. To (...) avoid this result, the anti-Cartesian must either license an unacceptable epistemic chauvinism, or else claim that merely reflecting on one’s experiences defeats perceptual justification. This leaves us with a puzzle: Although Cartesianism faces problems, avoiding them brings a new set of problems. (shrink)

Despite both positive and negative perceptions of the current state of higher education, the contemporary debate over what it is to be a university is limited. Most of all, it is limited imaginatively. The range of imagined options is narrow. The imagination has not been given anything even approaching a wide scope. As a result, our sense as to what a university could be and could become in the modern age is itself impoverished. If we are seriously to develop a (...) wide range of ideas of the university that is adequate to the challenges of the modern world, the imagination itself needs to be freed. Imagining the University seeks to address each of these sets of issues and will do so by first, identifying a very wide range of ideas of the university as it is now unfolding and could become; secondly, by evaluating those conceptions of the university with a classification of ideas of the university; and thirdly, by reflecting on the imagination itself, its current impoverishment and its possibilities. Whether studying, researching or deciding policy, this book is vital reading to all those involved in the planning and delivery of higher education. (shrink)

On two standard views of vagueness, vagueness as to whether Harry is bald entails that nobody knows whether Harry is bald—either because vagueness is a type of missing truth, and so there is nothing to know, or because vagueness is a type of ignorance, and so even though there is a truth of the matter, nobody can know what that truth is. Vagueness as to whether Harry is bald does entail that nobody clearly knows that Harry is bald and that (...) nobody clearly knows that Harry is not bald. But it does not entail that nobody knows that Harry is bald or that nobody knows that Harry is not bald. Hence, the two standard views of vagueness are mistaken. (shrink)

In the World Library of Educationalists series, international scholars compile career-long selections of what they judge to be among their finest pieces so the world has access to them in a single manageable volume. Readers are able to follow the themes and strands and see how their work contributes to the development of the field. Over more than three decades, Professor Ronald Barnett has acquired a distinctive position as a leading philosopher of the university and higher education, and this (...) volume brings together 15 of his key writings, particularly papers from leading journals. This volume also includes, as his introductory chapter, an intellectual autobiography, in which Professor Barnett recounts the history of his scholarship and writing, traces its development across five stages, and identifies the themes and sources of inspiration that lie within his corpus of work. Ronald Barnett has described his corpus of work as a social philosophy of the university that is at once conceptual, critical, practical and imaginative. His concepts of criticality, critical interdisciplinarity, supercomplexity and the ecological university have been taken up in the literature across the world. Through telling examples, and with an incisive clarity of writing, Ronald Barnett's scholarship has helped to illuminate in fresh ways and reorient practices in the university and in higher education. The chapters in this volume reveal all of these qualities so making this volume a compelling overview of a passionate and yet constructive critic of the university. (shrink)

I exploit parallel considerations in the philosophy of mind and metaethics to argue that the reasoning employed in an important argument for panpsychism overgeneralizes to support an analogous position in metaethics: panmoralism. Next, I raise a number of problems for panmoralism and thereby build a case for taking the metaethical parallel to be a reductio ad absurdum of the argument for panpsychism. Finally, I contrast panmoralism with a position recently defended by Einar Duenger Bohn and argue that the two suffer (...) from similar problems. I conclude by drawing some general lessons for panpsychism. (shrink)

This essay examines the anti-producing human body in its limit case of public self-induced starvation, as figured in Franz Kafka's short story ‘A Hunger Artist’ and Steve McQueen's film Hunger. Both works represent the fasting body as hollowed out, a resistance to capitalist-spectator capture that spatialises itself as a smoothing, a relative reconfiguration of parts to whole through the evacuation of flows. In both works the human body becomes a local body without organs, paradoxically disarticulated from the more complex assemblages (...) that constitute it while recording potential circuits of disturbance or resonance predicated upon the porousness of bodily boundaries. (shrink)

Dune implies that our thinking must be multidimensional: it must include not only the Arrakeen plants, people, sands, and skies, but also their interconnections across space and time. Philosophical ecology, put most simply, is the holistic comprehension of a world and its complexity. Aldo Leopold was among the first American conservationists, and he founded the field of wildlife ecology. The standpoint of an Arrakeen planetary ecologist, like any wildlife ecologist of earth, embraces not individuals but relations. Climate change is a (...) problem that exceeds the scope of mere individual action and requires thinking collectively across space and time. Deep Ecologists mobilize ecological self understanding as the pre condition for practical political change. By inviting us to think like a desert – to reflect on the nature of the self, the dangers of excess, and the virtues of humility – Dune teaches us to be a little more like the Fremen with environmental resources. (shrink)

In the 1920s, Ackermann and von Neumann, in pursuit of Hilbert's programme, were working on consistency proofs for arithmetical systems. One proposed method of giving such proofs is Hilbert's epsilon-substitution method. There was, however, a second approach which was not reflected in the publications of the Hilbert school in the 1920s, and which is a direct precursor of Hilbert's first epsilon theorem and a certain "general consistency result" due to Bernays. An analysis of the form of this so-called "failed proof" (...) sheds further light on an interpretation of Hilbert's programme as an instrumentalist enterprise with the aim of showing that whenever a "real" proposition can be proved by ?ideal? means, it can also be proved by "real", finitary means. (shrink)

Ng :255–285, 1995. https://doi.org/10.1007/bf00852469) models the evolutionary dynamics underlying the existence of suffering and enjoyment and concludes that there is likely to be more suffering than enjoyment in nature. In this paper, we find an error in Ng’s model that, when fixed, negates the original conclusion. Instead, the model offers only ambiguity as to whether suffering or enjoyment predominates in nature. We illustrate the dynamics around suffering and enjoyment with the most plausible parameters. In our illustration, we find surprising results: (...) the rate of failure to reproduce can improve or worsen average welfare depending on other characteristics of a species. Our illustration suggests that for organisms with more intense conscious experiences, the balance of enjoyment and suffering may lean more toward suffering. We offer some suggestions for empirical study of wild animal welfare. We conclude by noting that recent writings on wild animal welfare should be revised based on this correction to have a somewhat less pessimistic view of nature. (shrink)

This paper begins an axiomatic development of naive set theoryin a paraconsistent logic. Results divide into two sorts. There is classical recapture, where the main theorems of ordinal and Peano arithmetic are proved, showing that naive set theory can provide a foundation for standard mathematics. Then there are major extensions, including proofs of the famous paradoxes and the axiom of choice (in the form of the well-ordering principle). At the end I indicate how later developments of cardinal numbers will lead (...) to Cantor’s theorem, the existence of large cardinals, and a counterexample to the continuum hypothesis. (shrink)

Dimensions of the ethical work climate, as conceptualized by Victor and Cullen (1988), are potentially important influences on individual ethical decision-making in the organizational context. The present study examined the direct and indirect effects of individuals' perceptions of work climate on their ethical judgments and behavioral intentions regarding an ethical dilemma. A national sample of marketers was surveyed in a scenario-based research study. The results indicated that, although perceived climate dimensions did not have a direct effect on behavioral intentions, there (...) were significant moderating effects. Climates perceived as emphasizing social responsibility and rules/codes moderated the individual ethical judgment-behavioral intentions relationship such that individuals were less likely to say that they would engage in a questionable selling practice even when they themselves did not believe the practice to be unethical. Respondents were somewhat more likely to form intentions consistent with their judgment that the questionable practice was morally acceptable when the ethical climate was characterized by an emphasis on team/friendship. (shrink)

ABSTRACTDo truth tables—the ordinary sort that we use in teaching and explaining basic propositional logic—require an assumption of consistency for their construction? In this essay we show that truth tables can be built in a consistency-independent paraconsistent setting, without any appeal to classical logic. This is evidence for a more general claim—that when we write down the orthodox semantic clauses for a logic, whatever logic we presuppose in the background will be the logic that appears in the foreground. Rather than (...) any one logic being privileged, then, on this count partisans across the logical spectrum are in relatively similar dialectical positions. (shrink)

This paper develops a (nontrivial) theory of cardinal numbers from a naive set comprehension principle, in a suitable paraconsistent logic. To underwrite cardinal arithmetic, the axiom of choice is proved. A new proof of Cantor’s theorem is provided, as well as a method for demonstrating the existence of large cardinals by way of a reflection theorem.

The Curry-Howard isomorphism is a proof-theoretic result that establishes a connection between derivations in natural deduction and terms in typed lambda calculus. It is an important proof-theoretic result, but also underlies the development of type systems for programming languages. This fact suggests a potential importance of the result for a philosophy of code.

Ronald Barnett pursues this quest through an exploration of pairs of contending concepts that speak to the idea of the university such as space and time; being ...

I. Introduction Two kinds of remedies have traditionally been employed for breach of contract: legal relief and equitable relief. Legal relief normally takes the form of money damages. Equitable relief normally consists either of specific performance or an injunction – that is, the party in breach may be ordered to perform an act or to refrain from performing an act. In this article I will use a “consent theory of contract” to assess the choice between money damages and specific performance. (...) According to such a theory, contractual obligation is dependent on more fundamental entitlements of the parties and arises as a result of the parties' consent to transfer alienable rights. My thesis will be that the normal rule favoring money damages should be replaced with one that presumptively favors specific performance unless the parties have consented to money damages instead. The principal obstacle to such an approach is the reluctance of courts to specifically enforce contracts for personal services. The philosophical distinction between alienable and inalienable rights bolsters this historical reticence, since a right to personal services may be seen as inalienable. I will then explain why, if the subject matter of a contract for personal services is properly confined to an alienable right to money damages for failure to perform, specific enforcement of such contracts is no longer problematic. Finally, I shall consider whether the subject matter of contracts for corporate services is properly confined to money damages like contracts for personal services, or whether performance of corporate services can be made the subject of a valid rights transfer and judicially compelled in the same manner as contracts for external resources. (shrink)

In this book, Zach Kelehear offers readers a new perspective on an important, dynamic, and sometimes daunting issue: managing successful school-based leadership. The author uses an arts-based approach to weave together notions of research-based leadership skills for successful school-based management with standards of professional competence as represented by the Interstate School Leaders Licensure Consortium Standards for School Leaders.

With higher education around the world in a period of extreme flux, this volume explores its underlying philosophy, a core element of the ongoing debate. Offering a diverse range of perspectives from an international selection of renowned scholars of higher education, the book is full of imaginative insights that add up to a substantive contribution to the discussion. As universities attempt to adapt to a new environment characterized by stiff international competition, networked remote learning, burgeoning student numbers, and comparative performance (...) assessment, how we conceptualize the purpose and ethos of our higher learning institutions is more important than ever. This publication features a multitude of distinctive approaches that illuminate potential solutions to the complex issues universities must grapple with in these uncertain times. Rather than espousing a singular philosophical approach, the editors have assembled views from across the spectrum and from differing national contexts, representing a multidisciplinary response to the situation. This collection of papers aims thus to inspire fresh developments in the way we think about the complexities of, and options available to, higher education. (shrink)

I exploit parallel considerations in the philosophy of mind and metaethics to argue that the reasoning employed in an important argument for panpsychism overgeneralizes to support an analogous position in metaethics: panmoralism. Next, I raise a number of problems for panmoralism and thereby build a case for taking the metaethical parallel to be a reductio ad absurdum of the argument for panpsychism. Finally, I contrast panmoralism with a position recently defended by Einar Duenger Bohn and argue that the two suffer (...) from similar problems. I conclude by drawing some general lessons for panpsychism. (shrink)

Although the condition known as synaesthesia is currently undergoing a scientific resurgence, to date the literature has largely focused on the heterogeneous nature of synaesthesia across individuals. In order to provide a better understanding of synaesthesia, however, general characteristics need to be investigated. Synaesthetic experiences are often described as occurring ‘internally’ or in the ‘mind’s eye’, which is remarkably similar to how we would describe our experience of visual mental imagery. We assessed the role of visual imagery in synaesthesia by (...) sampling a large group of synaesthetes and found that they report experiencing more vivid mental images than controls. These findings have important implications for our general understanding of synaesthesia and, in particular, emphasize the need to control for visual imagery in behavioural and neuroimaging paradigms. (shrink)

In this classic work, L.D. Barnett delves into the ancient Indian science of Brahma-knowledge. Drawing from sources that predate the Vedas, Barnett presents a detailed study of the cosmology and spirituality of the Brahma tradition, exploring the nature of the universe, the workings of the human mind, and the path to enlightenment. This insightful and beautifully written book is a must-read for anyone interested in the spiritual traditions of India. This work has been selected by scholars as being (...) culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

In this two-volume set, Larry D. Barnett delves into the macrosociological sources of law concerned with society-important social activities in a structurally complex, democratically governed nation. Barnett explores why, when, and where particular proscriptions and prescriptions of law on key social activities arise, persist, and change. The first volume, Societal Agents in Law: A Macrosociological Approach, puts relevant doctrines of law into a macrosociological framework, uses the findings of quantitative research to formulate theorems that identify the impact of (...) several society-level agents on doctrines of law, and takes the reader through a number of case analyses. The second volume, Societal Agents in Law: Quantitative Research, reports original multivariate statistical studies of sociological determinants of law on specific types of key social activities. Taken together, the two volumes offer an alternative to the almost-total monopoly of theory and descriptive scholarship in the macrosociology of law, comparative law, and history of law, and underscore the value of a mixed empirical/theoretical approach. (shrink)

In this two-volume set, Larry D. Barnett delves into the macrosociological sources of law concerned with society-important social activities in a structurally complex, democratically governed nation. Barnett explores why, when, and where particular proscriptions and prescriptions of law on key social activities arise, persist, and change. The first volume, Societal Agents in Law: A Macrosociological Approach, puts relevant doctrines of law into a macrosociological framework, uses the findings of quantitative research to formulate theorems that identify the impact of (...) several society-level agents on doctrines of law, and takes the reader through a number of case analyses. The second volume, Societal Agents in Law: Quantitative Research, reports original multivariate statistical studies of sociological determinants of law on specific types of key social activities. Taken together, the two volumes offer an alternative to the almost-total monopoly of theory and descriptive scholarship in the macrosociology of law, comparative law, and history of law, and underscore the value of a mixed empirical/theoretical approach. (shrink)

This thesis divides naturally into two parts, each concerned with the extent to which the theory of $L$ can be changed by forcing.The first part focuses primarily on applying generic-absoluteness principles to how that definable sets of reals enjoy regularity properties. The work in Part I is joint with Itay Neeman and is adapted from our paper Happy and mad families in $L$, JSL, 2018. The project was motivated by questions about mad families, maximal families of infinite subsets of $\omega (...) $ of which any two have only finitely many members in common. We begin, in the spirit of Mathias, by establishing a strong Ramsey property for sets of reals in the Solovay model, giving a new proof of Törnquist’s theorem that there are no infinite mad families in the Solovay model.In Chapter 3 we stray from the main line of inquiry to briefly study a game-theoretic characterization of filters with the Baire Property.Neeman and Zapletal showed, assuming roughly the existence of a proper class of Woodin cardinals, that the boldface theory of $L$ cannot be changed by proper forcing. They call their result the Embedding Theorem, because they conclude that in fact there is an elementary embedding from the $L$ of the ground model to that of the proper forcing extension. With a view toward analyzing mad families under $\mathsf {AD}^+$ and in $L$ under large-cardinal hypotheses, in Chapter 4 we establish triangular versions of the Embedding Theorem. These are enough for us to use Mathias’s methods to show that there are no infinite mad families in $L$ under large cardinals and that $\mathsf {AD}^+$ implies that there are no infinite mad families. These are again corollaries of theorems about strong Ramsey properties under large-cardinal assumptions and $\mathsf {AD}^+$, respectively. Our first theorem improves the large-cardinal assumption under which Todorcevic established the nonexistence of infinite mad families in $L$. Part I concludes with Chapter 5, a short list of open questions.In the second part of the thesis, we undertake a finer analysis of the Embedding Theorem and its consistency strength. Schindler found that the the Embedding Theorem is consistent relative to much weaker assumptions than the existence of Woodin cardinals. He defined remarkable cardinals, which can exist even in L, and showed that the Embedding Theorem is equiconsistent with the existence of a remarkable cardinal. His theorem resembles a theorem of Harrington–Shelah and Kunen from the 1980s: the absoluteness of the theory of $L$ to ccc forcing extensions is equiconsistent with a weakly compact cardinal. Joint with Itay Neeman, we improve Schindler’s theorem by showing that absoluteness for $\sigma $ -closed $\ast $ ccc posets—instead of the larger class of proper posets—implies the remarkability of $\aleph _1^V$ in L. This requires a fundamental change in the proof, since Schindler’s lower-bound argument uses Jensen’s reshaping forcing, which, though proper, need not be $\sigma $ -closed $\ast $ ccc in that context. Our proof bears more resemblance to that of Harrington–Shelah than to Schindler’s.The proof of Theorem 6.2 splits naturally into two arguments. In Chapter 7 we extend the Harrington–Shelah method of coding reals into a specializing function to allow for trees with uncountable levels that may not belong to L. This culminates in Theorem 7.4, which asserts that if there are $X\subseteq \omega _1$ and a tree $T\subseteq \omega _1$ of height $\omega _1$ such that X is codable along T, then $L$ -absoluteness for ccc posets must fail.We complete the argument in Chapter 8, where we show that if in any $\sigma $ -closed extension of V there is no $X\subseteq \omega _1$ codable along a tree T, then $\aleph _1^V$ must be remarkable in L.In Chapter 9 we review Schindler’s proof of generic absoluteness from a remarkable cardinal to show that the argument gives a level-by-level upper bound: a strongly $\lambda ^+$ -remarkable cardinal is enough to get $L$ -absoluteness for $\lambda $ -linked proper posets.Chapter 10 is devoted to partially reversing the level-by-level upper bound of Chapter 9. Adapting the methods of Neeman, Hierarchies of forcing axioms II, we are able to show that $L$ -absoluteness for $\left |\mathbf {R}\right |\cdot \left |\lambda \right |$ -linked posets implies that the interval $[\aleph _1^V,\lambda ]$ is $\Sigma ^2_1$ -remarkable in L.prepared by Zach Norwood.E-mail: [email protected]. (shrink)

Providing a comprehensive introduction to the philosophy of higher education, through the lens of ecological realism, this text presents an imaginative way through the field and leads it into new areas. Each chapter takes the form of a short essay, tackling a particular topic such as values, knowledge, teaching, critical thinking, and social justice. It also examines key issues including academic freedom, the digital university and the Anthropocene, and draws on classic as well as contemporary texts in the field. Composed (...) of five parts, the book travels on a compelling journey: Part one identifies foundations of the field, distinguishing between the ideas of university and higher education. Part two examines key concepts, including research, culture and reason. Part three focuses on higher education as a set of educational practices and being a student. Part four is concerned with the university as an institution and includes the matters of leadership and the spirit of the university. Part five turns to the university in the world, and argues for an ecological perspective. Written in a lively and accessible style, and ideal for anyone coming to the field for the first time but also of interest to experienced scholars, this book offers sightings of new possibilities for higher education and the university. (shrink)

Understanding the University constitutes the final volume in a trilogy - the first two books having been Being a University (2010) and Imagining the University (2012) - and represents the trilogy's ultimate aims and endeavours. The three volumes together offer a unique attempt at a fairly systematic and exhaustive level to map out just what it might be seriously to understand the extraordinarily complex entity that is known across the world as 'the university'. Through examination of the conditions and possibilities (...) underlying and affecting universities, this work offers an understanding of specific ideas of the university which can inform policies, strategies and practices in relation to the university. This book is a must read for leaders and senior managers in universities, as well as those undertaking postgraduate studies in the policy and practice of higher education. (shrink)

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)

Søren Kierkegaard is well known for his claim that human life is marked by three existential spheres — the aesthetic, the ethical, and the religious. In Bob Dylan and the Spheres of Existence, Christopher B. Barnett argues that Kierkegaard's theory provides a key interpretative lens through which to evaluate the songwriting of Bob Dylan.