This paper is a culmination of our new foundations for recursive analysis through recursive topology as reported in Kalantari and Welch 125; 98 87). While in those papers we developed groundwork for an approach to point free analysis and applied recursion theory, in this paper we blend techniques of recursion theory with those of topology to establish new findings. We present several new techniques different from existing ones which yield interesting results. Incidental to our work is a unifying explanation (...) of various schools of study for recursive analysis. (shrink)

We develop the concepts of recursively nowhere dense sets and sets that are recursively of first category and study closed sets of points in light of Baire's Category Theorem. Our theorems are primarily concerned with exdomains of recursive quantum functions and hence with avoidable points . An avoidance function is a recursive function which can be used to expel avoidable points from domains of recursive quantum functions. We define an avoidable set of points to be an arbitrary subset of the (...) avoidable points of a single avoidance function, and we study an effective union of such sets which we call a piecemeal avoidable set. We note that each of ‘the set of recursive points’ and ‘the set of avoidable points’ is of first category but not recursively of first category. We show an exdomain exists which is recursively nowhere dense, as well as one that is nowhere dense but not recursively nowhere dense. After establishing that every exdomain is recursively of first category, we prove that given any fixed exdomain, there is another exdomain, which while dense in the underlying space, is disjoint from the fixed exdomain. Finally, we show how to build a recursive sequence of recursive quantum functions that have mutually disjoint, dense exdomains. (shrink)

In this paper we first give a variant of a theorem of Jockusch–Lewis– Remmel on existence of a computable, degree-preserving homeomorphism between a bounded strong ${\Pi^0_2}$ class and a bounded ${\Pi^0_1}$ class in 2 ω . Namely, we show that for mathematically common and interesting topological spaces, such as computably presented ${\mathbb{R}^n}$ , we can obtain a similar result where the homeomorphism is in fact the identity mapping. Second, we apply this finding to give a new, priority-free proof of existence (...) of a tree of shadow points computable in 0′. (shrink)

This paper continues our study of computable point-free topological spaces and the metamathematical points in them. For us, a point is the intersection of a sequence of basic open sets with compact and nested closures. We call such a sequence a sharp filter. A function fF from points to points is generated by a function F from basic open sets to basic open sets such that sharp filters map to sharp filters. We restrict our study to functions that have at (...) least all computable points in their domains.We follow Turing's approach in stating that a point is computable if it is the limit of a computable sharp filter; we then define the Turing degree Deg of a general point x in an analogous way. Because of the vagaries of the definition, a result of J. Miller applies and we note that not all points in all our spaces have Turing degrees; but we also show a certain class of points do. We further show that in ℝn all points have Turing degrees and that these degrees are the same as the classical Turing degrees of points defined by other researchers.We also prove the following: For a point x that has a Turing degree and lies either on a computable tree T or in the domain of a computable function fF, there is a sharp filter on T or in dom converging to x and with the same Turing degree as x. Furthermore, all possible Turing degrees occur among the degrees of such points for a given computable function fF or a complete, computable, binary tree T. For each x ∈ dom for which x and fF have Turing degrees, Deg) ≤ Deg. Finally, the Turing degrees of the sharp filters convergent to a given x are closed upward in the partial order of all Turing degrees. (shrink)

This paper is a sequel to our [7]. In that paper we constructed a Π1 0 tree of avoidable points. Here we construct a Π1 0 tree of shadow points. This tree is a tree of sharp filters, where a sharp filter is a nested sequence of basic open sets converging to a point. In the construction we assign to each basic open set on the tree an address in 2<ω. One interesting fact is that while our Π1 0 tree (...) of sharp filters (a subtree of Δ<ω) is isomorphic to the tree of addresses (a subtree of 2<ω), the tree of addresses is recursively enumerable but not recursive. To achieve this end we use a finite injury priority argument. (shrink)

(This insularity was further promoted by the guileless duplicity of scholars in other fields, who were all too prepared to bequeath "the problem of ...

By targeting and critiquing these assumptions, he lays the groundwork for a post-positivist philosophy of science that does not provide aid and comfort to the enemies of reason. This book consists of thirteen essays.

Jesse Prinz (2004) argues that emotional feelings (“state emotions”) can by themselves perceptually represent significant organism-environment relations. I object to this view mainly on the grounds that (1) it does not rule out the at least equally plausible view that emotional feelings are non-representational sensory registrations rather than perceptions, as Tyler Burge (2010) draws the distinction, and (2) perception of a relation requires perception of at least one of the relation’s relata, but an emotional feeling by itself perceives neither the (...) subject’s environment, nor in many cases the relevant subject itself. I then explore two ways in which emotional feelings as non-perceptual sensory registrations might still contribute to significant relation representation when associated with representations of the subject and/or its environment. After briefly discussing some difficulties presented by a multimodal, sensory-perceptual view of such representation, I argue in favor of a “cognitive recognition theory” that holds that significant relation instances are represented during emotion occurrences via applications of emotion-type concepts to "incoming" emotional feelings and their associated mental states. (shrink)

Appraisal theories of emotion generally presuppose that emotions are “directed at” various items. They also hold that emotions have motivational properties. However, although it coheres well with their views, they have yet to seriously develop the idea that the function of emotional direction is to guide those properties. I argue that this “guidance hypothesis” can open up a promising new field of research in emotion theory. But I also argue that before appraisal theorists can take full advantage of it, they (...) must drop their further assumption that to determine an emotion's direction, one need only retrace the process that caused it. Contrary to this “retracing view,” I argue for an “independence thesis”: directed emotions are produced by two functionally independent sub-processes. The first, “affect-causation,” functions in part to produce a state with certain motivational properties given certain representations. The second, “affect-direction,” has the function of optimally guiding those motivational properties by associating them with representations that may properly be quite dissimilar from the causal ones. By provisionally adopting the independence thesis and empirically testing the guidance hypothesis, I argue that appraisal theorists stand a good chance of significantly increasing the explanatory power of their theories. (shrink)

Precision medicine is emerging as a scientific bandwagon within the contemporary biomedical sciences in the United States. PM brings together concepts and tools from genomics and bioinformatics to develop better diagnostics and therapies based on individualized information. Developing countries like China and Brazil have also begun pursuing PM projects, motivated by a desire to claim genomic sovereignty over its population. In spite of commonalities, institutional arrangements produced by the history of genomics research in China and Brazil are ushering PM along (...) different trajectories. In the Chinese case, we identify a strong state-backed push for PM combined with a dynamic network of international academic and private actors along the lines of networked technonationalism that has made large-scale, speculative PM projects possible. The Brazilian case is characterized by an institutional void at the federal level in which PM is driven by domestic academic actors in universities in the regional level, resulting in smaller scale, needs-driven PM projects. Through these cases, this paper shows how a scientific bandwagon adapts to national histories and institutions. Through this peripheral translation of the scientific bandwagon, the global infrastructure of biomedical knowledge has the potential to be transformed. (shrink)

This is the second volume in a sub-series of specially commissioned collaborative volumes on key topics at the heart of contemporary philosophy of law that will be appearing regularly within Cambridge Studies in Philosophy and Law. A distinguished international team of legal theorists examine the issue of constitutionalism and pose such foundational questions as: why have a constitution? How do we know what the constitution of a country really is? How should a constitution be interpreted? Why should one generation feel (...) bound by the constitution of an earlier one? The volume will be of particular importance to those in philosophy, law, political science and international relations interested in what kinds of constitutions should be adopted in countries without them, and involved in debates about constitutional interpretation. (shrink)

Constitutivists about one's cognitive access to one's mental states often hold that for any rational subject S and mental state M falling into some specified range of types, necessarily, if S believes that she has M, then S has M. Some argue that such a principle applies to beliefs about all types of mental state. Others are more cautious, but offer no criterion by which the principle's range could be determined. In this paper I begin to develop such a criterion, (...) arguing that although the principle applies when M is a belief, it does not apply when M is an emotion. I account for this asymmetry by focusing on differences in the commitments that belief and emotion conceptually involve, and briefly sketch out a psychological explanation of those differences. I conclude that one can reasonably split one's epistemological loyalties between constitutivism regarding meta-beliefs and non- constitutivism regarding beliefs about one's emotions. (shrink)

Barbara Fried described John Rawls’s response to libertarianism as “the unwritten theory of justice.” This paper argues that while there is no need for a new theory of justice to address the libertarian challenge, there is a need for an additional chapter. Taking up Fried’s suggestion that the Rawlsian response would benefit from a revised list of primary goods, I propose to add employment to the list, thus leading to adoption of a full employment principle in the original position that (...) ensures that anyone who wants to work will be able to do so. I argue that although Rawls famously proposed government as employer of last resort, he never integrated that comment into his theory, which lacks a full employment principle and says nothing about the injustice of involuntary unemployment in its ideal theory. I first refute the received view of Rawls’s treatment of employment as required by its importance for citizens’ self-respect, then show that in fact, the full employment assumption is the result of the role of general equilibrium theory in Rawls’s model of a well-ordered society, and indicate why developments in economic theory and economic policy support the proposed revision. (shrink)

Temkin's book is a very original and deeply unsettling work of skeptical philosophy that mounts an important new challenge to contemporary ethics.

The present volume encapsulates the contemporary scholarship on John Dewey and shows the place of Dewey’s thought on the philosophical arena. The authors are among the leading specialists in the philosophy of John Dewey from universities across the US and in Europe.

Working memory resources are needed for processing and maintenance of information during cognitive tasks. Many models have been developed to capture the effects of limited working memory resources on performance. However, most of these models do not account for the finding that different individuals show different sensitivities to working memory demands, and none of the models predicts individual subjects' patterns of performance. We propose a computational model that accounts for differences in working memory capacity in terms of a quantity called (...) source activation, which is used to maintain goal‐relevant information in an available state. We apply this model to capture the working memory effects of individual subjects at a fine level of detail across two experiments. This, we argue, strengthens the interpretation of source activation as working memory capacity. (shrink)

This book presents a comprehensive overview of what the criminal law would look like if organised around the principle that those who deserve punishment should receive punishment commensurate with, but no greater than, that which they deserve. Larry Alexander and Kimberly Kessler Ferzan argue that desert is a function of the actor's culpability, and that culpability is a function of the risks of harm to protected interests that the actor believes he is imposing and his reasons for acting in (...) the face of those risks. The authors deny that resultant harms, as well as unperceived risks, affect the actor's desert. They thus reject punishment for inadvertent negligence as well as for intentions or preparatory acts that are not risky. Alexander and Ferzan discuss the reasons for imposing risks that negate or mitigate culpability, the individuation of crimes, and omissions. (shrink)

Can one’s belief that one romantically loves another be false? If so, under what conditions may one come to reasonably doubt, or at least suspend belief, that one does so? To begin to answer these questions, I first outline an affective/volitional view of love similar to psychologist R. J. Sternberg’s “triangular theory”, which analyzes types of love in terms of the degrees to which they include states of passion, emotion, and commitment. I then outline two sources of potential bias that (...) may cause one to believe that one romantically loves another when one does not. Partly on the basis of those potential sources of bias and partly on the basis of more specific issues, I then argue that at least to the extent that one is aware of these issues, one may reasonably doubt that one is experiencing romantic love’s emotional feelings, and one may reasonably doubt that one is making romantic love’s commitments. Finally, I order by relative dubitability the propositions that must be true about one’s passions, emotions, and commitments toward another in order for one to romantically love them. (shrink)

INTRODUCTION The appeal to teleological principles of explanation within the body of natural science has had an unfortunate history. ...

Reflection Principles are commonly thought to produce only strong axioms of infinity consistent with V = L. It would be desirable to have some notion of strong reflection to remedy this, and we have proposed Global Reflection Principles based on a somewhat Cantorian view of the universe. Such principles justify the kind of cardinals needed for, inter alia , Woodin’s Ω-Logic.

Being a patient and living a life -- Clinical space and traits of healing -- False starts and frequent failures -- Three journeys : A.'Ibuprofen and love', B. 'Staying tuned up', C. 'We all want the same things' -- Being a patient : the moral field -- Rethinking healthcare ethics : the patient's moral authority.

This collection of essays brings together the very best philosophical and legal writings on procedural justice over the last half century. The articles are written by experts from legal and philosophical backgrounds and analyze values such as transparency, predictability, and even-handedness in law-making, law-enforcement and adjudication; discuss core concepts in Anglo-American jurisprudence such as equal protection, due process and the rule of law; and deal with the distinctive branch of justice that involves norms and processes of applying law to citizens.

In this book Larry Temkin examines the concepts of equality and inequality, and addresses one particular question in depth: how can we judge between different sorts of inequality? When is one inequality worse than another? Temkin shows that there are many different factors underlying and influencing our egalitarian judgments and that the notion of inequality is surprisingly complex. He looks at inequality as applied to individuals and to groups, and at the standard measures of inequality employed by economists and (...) others, and considers whether inequality matters more in a poor society than a rich one. The arguments of non-egalitarians are also examined. Temkin's book presents a new way of thinking about equality and inequality which challenges the assumptions of philosophers, welfare economists, and others concerned with these notions on a practical as well as a theoretical level. (shrink)

I have discussed the frame problem and the Turing test at length, but I have not attempted to spell out what I think the implications of the frame problem ...

Is ideology critique equipped to handle the hyperreal? Larry Alan Busk analyzes Michael Crichton’s 1973 film Westworld as a symptom of the ideological complexity of the current political and cultural conjuncture.

This essay considers the catastrophe of anthropogenic climate change in relation to two possible critical-theoretic dispositions. The first, represented by an emblematic passage from Adorno, retains the hope for the realization of a “rational society.” The second, represented by a complementary passage from Foucault, enjoins critical theory to abandon any ambition toward criticizing or transforming society at a totalizing level. We argue that the unfolding climate catastrophe demands a conception of critical theory more in line with the first disposition, and (...) that the relevance of the skeptical disposition is likewise seriously undermined if climate change is taken into account. (shrink)

This short but highly ambitious book asks us to rethink the evolution of the ideas on which modern states are built. Larry Siedentop argues that the core of what is now our system of beliefs, liberalism, emerged much earlier than generally recognised, established not in the Renaissance but by the arguments of lawyers and philosophers in the twelfth and thirteenth centuries. There are large parts of the world--fundamentalist Islam; quasi-capitalist China--where other belief systems flourish. Faced with these challenges, understanding (...) our own ideas' origins is more than ever an important part of knowing who we are."--Publisher's Web site. (shrink)

Temkin presents a new way of thinking about equality and inequality that challenges the assumptions of philosophers, welfare economists, and others, and has significant implications on both a practical and theoretical level.

There is extensive discussion in current Just War literature about the normative principles which should govern the initiation of war (jus ad bellum) and also the conduct of war (jus in bello), but this is the first book to treat the important and difficult issue of justice after the end of war. Larry May examines the normative principles which should govern post-war practices such as reparations, restitution, reconciliation, retribution, rebuilding, proportionality and the Responsibility to Protect. He discusses the emerging (...) international law literature on transitional justice and the problem of moving from a position of war and possible mass atrocity to a position of peace and reconciliation. He questions the Just War tradition, arguing that contingent pacifism is most in keeping with normative principles after war ends. His discussion is richly illustrated with contemporary examples and will be of interest to students of political and legal philosophy, law and military studies. (shrink)