Halin in 1965 proved that if a graph has [Formula: see text] many pairwise disjoint rays for each [Formula: see text] then it has infinitely many pairwise disjoint rays. We analyze the complexity of this and other similar results in terms of computable and proof theoretic complexity. The statement of Halin’s theorem and the construction proving it seem very much like standard versions of compactness arguments such as König’s Lemma. Those results, while not computable, are relatively simple. They only use (...) arithmetic procedures or, equivalently, finitely many iterations of the Turing jump. We show that several Halin-type theorems are much more complicated. They are among the theorems of hyperarithmetic analysis. Such theorems imply the ability to iterate the Turing jump along any computable well ordering. Several important logical principles in this class have been extensively studied beginning with work of Kreisel, H. Friedman, Steel and others in the 1960s and 1970s. Until now, only one purely mathematical example was known. Our work provides many more and so answers Question 30 of Montalbán’s Open Questions in Reverse Mathematics in 2011. Some of these theorems including ones in Halin in 1965 are also shown to have unusual proof theoretic strength as well. (shrink)

It’s one of the most common complaints against Christians: “They’re all a bunch of hypocrites!” Yet surprisingly, the topic of hypocrisy has remained largely unaddressed both in Christian and secular literature. In Hypocrisy, James Spiegel draws insights from ethics, theology, psychology, apologetics, and spiritual formation to guide you through this complex subject.

That art historians have felt it necessary to emulate this effort to express personal input can be explained by our need to gain credibility in that aspect of our work that is indistinguishable in method from other historical research: the reconstruction, through documents and artifacts, of past events, conditions, and attitudes. Most of us simply ignore the ambivalence of our position; I cannot recall having heard or read discussions of it, but it is bound to creep out from under the (...) rug. If a student asks me why I think Rembrandt and Picasso are good artists—which most students are too well trained to do—and if I answer that judgments of value are not discussed by historians, I am within my rights, like a witness at a congressional hearing claiming the protection of the Fifth Amendment. But I ought to be found in contempt of the classroom. And if I try to answer seriously, I ought not begin by saying that I chose Rembrandt because he has been acknowledged by generations to have been a great artist but rather because I find more to think, feel, and speak about in his works than in those of, for example, Nicolaes Maes, and because I believe that the student stands to gain more by looking at them. I want the student to have the most rewarding experiences, and, as a result, perhaps to learn to make value discriminations of his own—even ones different from mine and from the so-called consensus of history—and ultimately to explain the grounds on which he makes them. This means having to know and to explain what I think is "rewarding." James S. Ackerman, professor of fine arts at Harvard University, is the author of, among other works, The Architecture of Michelangelo, Art and Archaeology, The Cortile del Belvedere, and Palladio. He is currently writing on Renaissance art, science, and naturalism and making a film on Andrea Palladio and his influence in America. "Transactions in Architectural Design," his previous contribution to Critical Inquiry, appeared in the Winter 1974 issue. (shrink)

The question of when and how bottom‐up input is integrated with top‐down knowledge has been debated extensively within cognition and perception, and particularly within language processing. A long running debate about the architecture of the spoken‐word recognition system has centered on the locus of lexical effects on phonemic processing: does lexical knowledge influence phoneme perception through feedback, or post‐perceptually in a purely feedforward system? Elman and McClelland (1988) reported that lexically restored ambiguous phonemes influenced the perception of the following phoneme, (...) supporting models with feedback from lexical to phonemic representations. Subsequently, several authors have argued that these results can be fully accounted for by diphone transitional probabilities in a feedforward system (Cairns et al., 1995; Pitt & McQueen, 1998). We report results strongly favoring the original lexical feedback explanation: lexical effects were present even when transitional probability biases were opposite to those of lexical biases. (shrink)

R. Douglas Geivett and James S. Spiegel present a textbook for philosophy courses that uses classic and current films to explore major philosophical themes such as the human condition, mind and knowledge, the moral life, faith and religion.

This paper investigates hypotheses drawn from two sources: (1) Belsky, Steinberg, and Draper’s (1991) attachment theory model of the development of reproductive strategies, and (2) recent life history models and comparative data suggesting that environmental risk and uncertainty may be potent determinants of the optimal tradeoff between current and future reproduction. A retrospective, self-report study of 136 American university women aged 19–25 showed that current recollections of early stress (environmental risk and uncertainty) were related to individual differences in adult time (...) preference and adult sexual behavior, and that individual differences in time preference were related to adult attachment organization and sexual behavior. These results are consistent with the hypothesis that perceptions of early stress index environmental risk and uncertainty and mediate the attachment process and the development of reproductive strategies. On this view individual differences in time preference are considered to be part of the attachment theoretical construct of an internal working model, which itself is conceived as an evolved algorithm for the contingent development of alternative reproductive strategies. (shrink)

A new interpretation of educational philosophy that traces its origins to both social science and philosophy.

We reply to McQueen's commentary by comparing the parsimony of his account of relevant data and the computational model he favors with the explanation and model we favor. His account requires multiple independent explanations and mechanisms. Ours requires one: lexical feedback.

Life history theory’s principle of allocation suggests that because immature organisms cannot expend reproductive effort, the major trade-off facing juveniles will be the one between survival, on one hand, and growth and development, on the other. As a consequence, infants and children might be expected to possess psychobiological mechanisms for optimizing this trade-off. The main argument of this paper is that the attachment process serves this function and that individual differences in attachment organization (secure, insecure, and possibly others) may represent (...) facultative adaptations to conditions of risk and uncertainty that were probably recurrent in the environment of human evolutionary adaptedness. (shrink)

Part I of this essay will be devoted to Gauthier's principle of minimax relative concession. Part II will focus, more generally, on the variety of possible strategies available to liberal theory. In Part I, I will argue that the principle of minimax relative concession does not define “essential justice” as Gauthier claims. In Part II, I will argue that the difficulties facing Gauthier's strategy are common to other strategies of die same general kind. I will close by suggesting what I (...) think may prove to be a more promising approach. (shrink)

While open-mindedness as an intellectual trait has been recognized for centuries, Western philosophers have not explicitly endorsed it as a virtue until recently. This acknowledgment has been roughly coincident with the rise of virtue epistemology. As with any virtue, it is important to inform contemporary discussion of open-mindedness with reflection on sources from the history of philosophy. Here I do just this. After reviewing two major accounts of open-mindedness, which I dub "Contest" and "Indifference," I explore some ideas pertinent to (...) the subject in four philosophers spanning eighteen centuries: Sextus Empiricus, John Locke, John Stuart Mill, and Paul Feyerabend. Despite their varying concerns and terminology, their contributions may valuably inform current reflection on the virtue of open-mindedness, whether construed in terms of the Contest or Indifference account. (shrink)

People around the world are agitating for democracy and individual rights, but there is no consensus on a theory of liberal democracy that might guide them. What are the first principles of a just society? What political theory should shape public policy in such a society? In this book, James S. Fishkin offers a new basis for answering these questions by proposing the ideal of a "self-reflective society"—a political culture in which citizens are able to decide their own fate (...) through unconstrained dialogue. Fishkin offers a comprehensive critique of liberal political theories that do not satisfy the requirements for a self-reflective society. He then explains his own theory of liberalism, showing that the freely self-examining society he advocates can provide the key to issues of political legitimacy and social justice. Fishkin proposes practical applications of his theory that would lead to more participatory democracy. Among these are deliberative opinion polls that would allow ordinary citizens to explore issues directly with candidates before elections, and vouchers that would allow them to organize representation for their interests. Fishkin examines a broad range of topics from the fresh perspective of a self-reflective society: utility and its limits, justice between generations, conflicting ideals of democracy, equal opportunity, the connections between theory and public policy, the notion of moral progress, and the bases for political obligation. His book makes a new contribution to central debates in moral, political, and legal philosophy. (shrink)

This study analyzes the at-will employment doctrine using a tool that encompasses the complementarity of results-based utilitarian ethics, rule-based duty ethics, and virtue-based character ethics. The paper begins with a discussion of the importance of the problem followed by its evolution and current status. After describing the method of analysis, the central section evaluates the employment at-will doctrine, and is informed by Lord Acton's dictum, "power tends to corrupt, and absolute power corrupts absolutely." The conclusion explores the implications of the (...) findings. (shrink)

Introduction: Socratic divagation/divination -- The holy -- On the sign of Socrates -- Divine madness -- Banishing the poets -- Conclusion: the multiplicity of voices.

An examination of the role of the scientist in the process of understanding the world, and a reexamination of scientific objectivity, model building, and the place of scientists in the hierarchy of natural systems.

International law guarantees rights to indigenous peoples regarding traditional lands, knowledge, cultural preservation, and human security. This paper will examine the sources of these rights and legal remedies for violations of law. Protection of indigenous peoples’ cultures and resources contribute to the protection of the global environment.

Theorems of hyperarithmetic analysis occupy an unusual neighborhood in the realms of reverse mathematics and recursion-theoretic complexity. They lie above all the fixed iterations of the Turing jump but below ATR $_{0}$. There is a long history of proof-theoretic principles which are THAs. Until the papers reported on in this communication, there was only one mathematical example. Barnes, Goh, and Shore [1] analyze an array of ubiquity theorems in graph theory descended from Halin’s [9] work on rays in graphs. They (...) seem to be typical applications of ACA $_{0}$ but are actually THAs. These results answer Question 30 of Montalbán’s Open Questions in Reverse Mathematics [19] and supply several other natural principles of different and unusual levels of complexity.This work led in [25] to a new neighborhood of the reverse mathematical zoo: almost theorems of hyperarithmetic analysis. When combined with ACA $_{0}$ they are THAs but on their own are very weak. Denizens both mathematical and logical are provided. Generalizations of several conservativity classes are defined and these ATHAs as well as many other principles are shown to be conservative over RCA $_{0}$ in all these senses and weak in other recursion-theoretic ways as well. These results answer a question raised by Hirschfeldt and reported in [19] by providing a long list of pairs of principles one of which is very weak over RCA $_{0}$ but over ACA $_{0}$ is equivalent to the other which may be strong or very strong going up a standard hierarchy and at the end being stronger than full second-order arithmetic. (shrink)

This book addresses the question of human uniqueness at a time when academic discourse has all but abandoned its long-held commitment to the value of individuality.

The new atheists are on the warpath. They come armed with arguments to show that belief in God is absurd and dangerous. In the name of societal progress, they promote purging the world of all religious practice. And they claim that people of faith are mentally ill. Some of the new atheists openly declare their hatred for the Judeo-Christian God. Christian apologists have been quick to respond to the new atheists’ arguments. But there is another dimension to the issue which (...) begs to be addressed--the root causes of atheism. Where do atheists come from? How did such folks as Richard Dawkins, Sam Harris, Daniel Dennett, and Christopher Hitchens become such ardent atheists? If we are to believe them, their flight from faith resulted from a dispassionate review of the evidence. Not enough rational grounds for belief in God, they tell us. But is this the whole story? Could it be that their opposition to religious faith has more to do with passion than reason? What if, in the end, evidence has little to do with how atheists arrive at their anti-faith? That is precisely the claim in this book. Atheism is not at all a consequence of intellectual doubts. These are mere symptoms of the root cause--moral rebellion. For the atheist, the missing ingredient is not evidence but obedience. The psalmist declares, “The fool says in his heart there is no God” (Ps. 14:1), and in the book of Romans, Paul makes it clear that lack of evidence is not the atheist’s problem. The Making of an Atheist confirms these biblical truths and describes the moral and psychological dynamics involved in the abandonment of faith. (shrink)

A consideration of the ethical implications of an aesthetic view of life, _The Question of Value _reintroduces the Nietzschean imperative to weigh the things of the world anew. James S. Hans assumes that we must and do value the world we live in every day. Rejecting the deconstructionist view, which is always willing to defer the question of value because there are no grounds for considering it, he argues that we continue to measure the world in spite of the (...) apparent lack of reason for doing so, and that we ought therefore to give serious thought to the way we make our choices. The book begins with the premise that the major task Nietzsche set for the Western world has yet to be undertaken in its fullest sense and connects this task to Heidegger’s mode of questioning in his later work and to Freud’s reflections on the death instinct and the pleasure principle. The study’s central premise is that Nietzsche was correct in diagnosing the ills of our culture and in prescribing a cure because he came to recognize the essential connection between time and revenge. He saw that the desire for revenge stems from our disgust at being temporal creatures and that a new system of values will only be possible once we overcome that self-loathing and the endless acts of revenge that stem from it. This is the most difficult of human tasks, but it is the only one worth attempting once one is able to see the full consequences of the human desire for revenge. Instead of being a critical discussion of Nietzsche’s, Heidegger’s, or Freud’s work, then, _The Question of Value _is an attempt to think through their ideas and to implement them in our world in a new way. It establishes the necessity to affirm the value of time and seeks to provide a framework through which such an affirmation of temporality can take place on a larger ethical scale. (shrink)

Within the Christian theological tradition there has always been a variety of perspectives on hell, usually distinguished according to their views about the duration of hell’s torments for the damned. Traditionalists maintain that the suffering of the damned is everlasting. Universalists claim that eventually every person is redeemed and arrives in heaven. And conditional immortalists, also known as “conditionalists” or “annihilationists,” reject both the concept of eternal torment as well as universal salvation, instead claiming that after a finite period of (...) suffering the damned are annihilated. Conditionalism has enjoyed somewhat of a revival in scholarly circles in recent years, buoyed by the influential biblical defense of the view by Edward Fudge. However, there has yet to appear a book-length philosophical defense of conditionalism... until now. In Hell and Divine Goodness, James Spiegel assesses the three major alternative theories of hell, arriving at the conclusion that the conditionalist view is, all things considered, the most defensible position on the issue. (shrink)