For the purposes of this monograph, "by a degree" is meant a degree of recursive unsolvability. A degree [script bold]m is said to be minimal if 0 is the unique degree less than [script bold]m. Each of the six chapters of this self-contained monograph is devoted to the proof of an existence theorem for minimal degrees.

'Leading economists presenting fundamentally important issues in economic theory' is the theme of the Nancy Schwartz lectures series held annually at the J. L. Kellogg Graduate School of Management of Northwestern University. Reporting on lectures delivered in the years 1983 through 1997, this collection of essays discusses economic behavior at the individual and group level and the implications to the performance of economic systems. Using non-technical language, the speakers present theoretical, experimental, and empirical analysis of decision making under uncertainty and (...) under full and bounded rationality, the influence of economic incentives and habits, and the effects of learning and evolution on dynamic choice. Perfect competition, economic development, social insurance and social mobility, and negotiation and economic survival, are major economic subjects analyzed through our understanding of economic behavior. (shrink)

This volume is not restricted to papers presented at the 1988 Colloquium, but instead aims to provide the reader with a (relatively) coherent reading on Algebraic Logic, with an emphasis on current research. To help the non-specialist reader, the book contains an introduction to cylindric and relation algebras by Roger D. Maddux and an introduction to Boolean Algebras by Bjarni Joacute;nsson.

In lieu of an abstract, here is a brief excerpt of the content:Buddhist-Christian Studies 23 (2003) 197-201 [Access article in PDF] An Interview with Donald Mitchell and James Wiseman The 2002 Fred Streng Book Award has been given to Donald W. Mitchell and James Wiseman for their edited collection, The Gethsemani Encounter: A Dialogue on the Spiritual Life by Buddhist and Christian Monastics. Donald W. Mitchell is professor of comparative philosophy at Purdue University and a member of (...) the editorial advisory board of Buddhist-Christian Studies. James Wiseman is a member of the Benedictine community of St. Anselm's Abbey in Washington, D.C., and is an associate professor of theology at the Catholic University of America. Following is an edited interview with both.DONALD MITCHELL How long have Buddhist and Christian monastics been in dialogue? In 1978 the Benedictine Confederation founded what is now named the Monastic Interreligious Dialogue (MID) in order to develop intermonastic dialogue, especially with Buddhism. MID has been in dialogue with Buddhism in Europe, Asia, Australia, and North America. Numerous MID spiritual exchanges and hospitality programs have taken place between Buddhist and Christian monastics over the years. How did the Dalai Lama get involved? His Holiness the Dalai Lama met with Thomas Merton in 1968, and from then on has been interested in Christian monasticism. He first got involved with MID when several of their members spoke with him at an East-West conference at the Naropa Institute in Boulder, Colorado, in 1981. This was the beginning of a series of intermonastic hospitality exchanges, with Tibetan Buddhist monks and nuns visiting Christian monasteries in the United States and Christian monastics being hosted at Tibetan Buddhist sites in India. Years later, at the Parliament of World's Religions in 1993, MID hosted a Buddhist-Christian dialogue on "Emptiness and Kenosis." The Dalai Lama took part in the dialogue and afterward told MID that he felt its dialogue with Buddhism had matured to the point [where] it would be helpful to have a weeklong retreat dialogue on the spiritual life in Buddhism and Christianity. Where did Gethsemani enter the picture? The Dalai Lama asked if it would be possible to hold the spiritual dialogue at Gethsemani Abbey, home of his friend Thomas Merton. In 1994 MID sent a delegation [End Page 197] to Dharamsala to discuss the proposal in more depth with the Dalai Lama. An agreement was reached to hold a retreat dialogue at Gethsemani Abbey with Buddhist and Christian teachers of spirituality coming from around the world. You're not a monk. How did you get involved? Good question. A year later, Sister Mary Margaret Funk, executive director of MID, met with me to request that I help organize the encounter as a lay advisor to MID. MID had used my book, Spirituality and Emptiness: The Dynamics of Spiritual Life in Buddhism and Christianity, to prepare for the Parliament dialogue on kenosis and emptiness. I agreed to help with inviting the Buddhist participants, crafting the program, and editing the proceedings. What developments in the dialogue have you seen occurring over the years? Many developments. As you can imagine, the Gethsemani Encounter in 1996 was itself a spiritual experience. As Ewert Cousins put it, there seemed to be two treasure boxes—Buddhism and Christianity—set before us in a spiritual atmosphere that enabled us to appreciate the gems of spiritual living shared by the participants. So the encounter itself brought the dialogue to a new stage of trust, understanding, and appreciation. This development can be seen in the fact that Buddhist participants suggested a project be undertaken to produce a Buddhist commentary on the Rule of St. Benedict. The result is Benedict's Dharma: Buddhists Reflect on the Rule of Saint Benedict, edited by Patrick Henry and published by Riverhead Books in 2001. What else? A small group of American Buddhist leaders and MID members met in 1999 to discuss the possibility of holding a Gethsemani Encounter II. It was decided to bring the dialogue ahead by focusing on one of the major topics that came up again and again at Gethsemani I—namely, the... (shrink)

Metaphysics is the thoroughly empirical science. Every item of experience must be evidence for or against any hypothesis of speculative cosmology, and every experienced object must be an exemplar and test case for the categories of analytic ontology. Technically, therefore, one example ought for our present theme to be as good as another. The more dignified examples, however, are darkened with a patina of tradition and partisanship, while some frivolous ones are peculiarly perspicuous. Let us therefore imagine three lollipops, made (...) by a candy man who buys sticks from a big supplier and molds candy knobs on them. Lollipop No. 1 has a red round peppermint head, No. 2 a brown round chocolate head, No. 3 a red square peppermint head. The circumstance here which mainly provokes theories of subsistence and inherence is similarity with difference: each lollipop is partially similar to each other and partially different from it. If we can give a good account of this circumstance in this affair we shall have the instrument to expose the anatomy of everything, from an electron or an apple to archangels and the World All. (shrink)

I am struck by how little is known about so much of cognition. One goal of this paper is to argue for the need to consider a rich set of interlocking issues in the study of cognition. Mainstream work in cognition—including my own—ignores many critical aspects of animate cognitive systems. Perhaps one reason that existing theories say so little relevant to real world activities is the neglect of social and cultural factors, of emotion, and of the major points that distinguish (...) an animate cognitive system from an artificial one: the need to survive, to regulate its own operation, to maintain itself, to exist in the environment, to change from a small, uneducated, immature system to an adult, developed, knowledgeable one.Human cognition is not the same as artificial cognition, if only because the human organism must also be concerned with the problems of life, of development, of survival. There must be a regulatory system that interacts with the cognitive component. And it may well be that it is the cognitive component that is subservient, evolved primarily for the benefit of the regulatory system, working through the emotions, through affect.I argue that several concepts must become fundamental parts of the study of cognition, including the roles of culture, of social interaction, of emotions, and of motivation. I argue that there are at least 12 issues that should comprise the study of cognition, and thereby, the field of Cognitive Science. We need to study a wide variety of behavior before we can hope to understand a single class. Cognitive scientists as a whole ought to make more use of evidence from the neurosciences, from brain damage and mental illness, from cognitive sociology and anthropology, and from clinical studies of the human. These must be accompanied, of course, with the study of language, of the psychological aspects of human processing structures, and of artificially intelligent mechanisms. The study of Cognitive Science requires a complex interaction among different issues of concern, an interaction that will not be properly understood until all parts are understood, with no part independent of the others, the whole requiring the parts, and the parts the whole. (shrink)

Davidson attacks the intelligibility of conceptual relativism, i.e. of truth relative to a conceptual scheme. He defines the notion of a conceptual scheme as something ordering, organizing, and rendering intelligible empirical content, and calls the position that employs both notions scheme-content dualism. He argues that such dualism is untenable since: not only can we not parcel out empirical content sentence per sentence but also the notion of uninterpreted content to which several schemes are relative, and the related notion of a (...) theory ”fitting the evidence’, can be shown to lack intelligibility too. Davidson argues further that belief in incommensurable schemes or non-intertranslatable languages is possible only on violating a correct understanding of interpretability : if we succeed in interpreting someone else then we have shown there is no need to speak of two conceptual schemes, while if we fail ”there is no ground for speaking of two.’. (shrink)

Two things become one thing, something having parts, and something becoming something else, are cases of many things being identical with one thing. This apparent contradiction introduces others concerning transitivity of identity, discernibility of identicals, existence, and vague existence. I resolve the contradictions with a theory that identity, number, and existence are relative to standards for counting. What are many on some standard are one and the same on another. The theory gives an account of the discernibility of identicals using (...) phrases like “insofar as”. And it holds that standards for counting remain or shift depending on our purposes. (shrink)

The first set in Routledge's new _Critical Reviews_ series focuses on the period from the founding of the _Edinburgh Review_ to the end of the Napoleonic Wars. Exhibiting all the richness that characterises economic writing of the period, the 95 articles collected here include pieces by Brougham, Horner, Southey and James Mill. The subjects addressed include: * international trade * banking and currency questions * the poor laws * the national debt * population Unlike many other recently published collections of (...) economic articles this work includes appropriate explanatory notes and a long introduction placing the anthology within the context of the times. (shrink)

Hume seems to argue unconvincingly against the infinite divisibility of finite regions of space. I show that his conclusion is entailed by respectable metaphysical principles which he held. One set of principles entails that there are partless (unextended) things. Another set entails that these cannot be ordered so that an infinite number of them compose a finite interval.

Recognizing the growing interdependence of the European Union and the importance of codes of conduct in companies’ operations, this research examines the effect of a country’s culture on the implementation of a code of conduct in a European context. We examine whether the perceptions of an activity’s ethicality relates to elements found in company codes of conduct vary by country or according to Hofstede’s (1980, Culture’s Consequences (Sage Publications, Beverly Hills, CA)) cultural constructs of: Uncertainty Avoidance, Masculinity/Femininity, Individualism, and Power (...) Distance. The 294 individuals, who participated in our study, were from 8 Western European countries. Their responses to our 13 scenarios indicate that differences in the perceptions of ethicality associate primarily with the participants’ country as opposed to their employer (i.e., accounting firm), employment level, or gender. The evidence also indicates that these country differences associate with Hofstede constructs of Individualism and Masculinity. (shrink)

Before we can approach an answer we need to distinguish various meanings of the question and determine what the ultimate question is. In doing this it will be necessary first to analyze some of the principal terms in the question, particularly the terms "I," "why," and "moral.".

One version of the desire satisfaction theory of well-being (i.e., welfare, or what is good for one) holds that only the satisfaction of one's present desires for present states of affairs can affect one's well-being. So if I desire fame today and become famous tomorrow, my well-being is positively affected onlyif tomorrow, when I am famous, I still desire to be famous. Call this the present desire satisfaction theory of well-being. I argue, contrary to this theory, that the satisfaction of (...) past desires that are no longer held does indeed affect one's well-being. The satisfaction of past desires is good for one in that the present satisfaction of past desires positively affects one's past well-being. I argue for this view in stages, starting with the recognition that many of our desires are satisfied not at an instant but over an interval of time, and that it is during this interval of time that our well-being is positively affected. Once we get our foot in the door with some temporal thickness to desire satisfaction and the associated well-being, I argue, the door must open more widely to allow for greater temporal distance between present desire satisfaction and past well-being. I defend my thesis that present satisfaction of past desires increases one's past welfare against objections, including the claim that it involves backward causation and Velleman's claim that the view is highly counterintuitive whether or not it involves backward causation. I argue that some of the objections rely on hedonistic intuitions, intuitions that most desire satisfaction theories of welfare aim to correct. Once properly understood and applied, my counterintuitive and controversial thesis is really quite innocuous. (shrink)

Kurt Gödel is almost as famous—one might say “notorious”—for his extreme platonist views as he is famous for his mathematical theorems. Moreover his platonism is not a myth; it is well-documented in his writings. Here are two platonist declarations about set theory, the first from his paper about Bertrand Russell and the second from the revised version of his paper on the Continuum Hypotheses.Classes and concepts may, however, also be conceived as real objects, namely classes as “pluralities of things” or (...) as structures consisting of a plurality of things and concepts as the properties and relations of things existing independently of our definitions and constructions.It seems to me that the assumption of such objects is quite as legitimate as the assumption of physical bodies and there is quite as much reason to believe in their existence.But, despite their remoteness from sense experience, we do have something like a perception also of the objects of set theory, as is seen from the fact that the axioms force themselves upon us as being true. I don't see any reason why we should have less confidence in this kind of perception, i.e., in mathematical intuition, than in sense perception.The first statement is a platonist declaration of a fairly standard sort concerning set theory. What is unusual in it is the inclusion of concepts among the objects of mathematics. This I will explain below. The second statement expresses what looks like a rather wild thesis. (shrink)

What is the relation between a reason and an action when the reason explains the action by giving the agent's reason for doing what he did? We may call such explanations rationalizations, and say that the reason rationalizes the action. In this paper I want to defend the ancient - and common-sense - position that rationalization is a species of ordinary causal explanation. The defense no doubt requires some redeployment, but not more or less complete abandonment of the position, as (...) urged by many recent writers. (shrink)

I know, for the most part, what I think, want, and intend, and what my sensations are. In addition, I know a great deal about the world around me. I also sometimes know what goes on in other people's minds. Each of these three kinds of empirical knowledge has its distinctive characteristics. What I know about the contents of my own mind I generally know without investigation or appeal to evidence. There are exceptions, but the primacy of unmediated self-knowledge is (...) attested by the fact that we distrust the exceptions until they can be reconciled with the unmediated. My knowledge of the world outside of myself, on the other hand, depends on the functioning of my sense organs, and this causal dependence on the senses makes my beliefs about the world of nature open to a sort of uncertainty that arises only rarely in the case of beliefs about my own states of mind. Many of my simple perceptions of what is going on in the world are not based on further evidence; my perceptual beliefs are simply caused directly by the events and objects around me. But my knowledge of the propositional contents of other minds is never immediate in this sense; I would have no access to what others think and value if I could not note their behaviour. (shrink)

In lieu of an abstract, here is a brief excerpt of the content: Reviewed by Sextus, Montaigne, Hume: Pyrrhonizers by Brian C. Ribeiro Donald C. Ainslie Brian C. Ribeiro. Sextus, Montaigne, Hume: Pyrrhonizers. Brill: Leiden, 2021. Pp. 165. Hardback, $154.00. Brian C. Ribeiro’s Sextus, Montaigne, Hume: Pyrrhonizers is a charming and quirky investigation of his three titular skeptics. It is perhaps best understood as a skeptical investigation of skepticism. By that I mean that, like a good Pyrrhonist, Ribeiro explains (...) how things appear to him without claiming to lay down a doctrine or dogma. His topic is how and why skepticism still matters (7). And he suggests that those who are moved by skeptical arguments can learn intellectual modesty from them and thereby achieve a degree of philosophical “calmness of soul” (141).Ribeiro approaches his three figures by taking the cogency of their skeptical arguments for granted. There is little investigation of why these philosophers call various beliefs into question, and his concern is rather what remains once the skeptical doubts are taken on board. Because what he calls “Pyrrhonizing” philosophers reveal that large swaths of our beliefs lack epistemic merit, they also show us how we are not fully rational creatures in our everyday lives. In the case of Sextus, Ribeiro’s focus is on the famous question of whether skeptics can live their skepticism once they have actually suspended all belief. With Sextus, as with Montaigne and Hume, Ribeiro opts for the more radical of the interpretive options; he is not persuaded by Michael Frede’s suggestion that Pyrrhonists restrict their suspension only to abstruse matters, not the everyday (51). But even if we follow the “four-fold way” (20–23) that Sextus offers us as guides for life—the directives of nature, feelings, custom, and expertise—Ribeiro still thinks we will inevitably fall back into belief. He concludes that the original Pyrrhonists should be read aspirationally: insofar as we develop our capacities [End Page 517] to argue on both sides of every question and thus are able to suspend judgment, to that extent we will achieve tranquility. In the case of Montaigne, Ribeiro focuses on his Christian fideism. Once he recognizes the incapacity of reason to resolve intellectual problems, he falls back on faith. And Ribeiro argues that the Catholic flavor of this faith is simply a reflection of Montaigne’s surroundings. In a different community, he could just as easily have embraced a different faith. The heart of the book concerns Hume, whom Ribeiro discusses in three chapters, as opposed to the one each devoted to Sextus and Montaigne. In keeping with his interpretive preferences, Ribeiro’s Hume is a radical skeptic, though he acknowledges the significant yet “utterly perplexing” (95n22) naturalist strains that are also present. Ribeiro takes the resulting tension to be insoluble (98), though I was not convinced. Consider that, in both the Treatise and the Enquiry, Hume uses causal reasoning to investigate causal reasoning. He learns that our ideas are caused by prior impressions; that repeated experience of conjoint events causes us to associate our ideas of similar events; and so on. In the Treatise, he concludes the argument that association is at the root of such causal reasoning by presenting a set of rules, a “logic,” for it. The argument is not as such skeptical, though when Hume “recasts” it in the first Enquiry, he does so in terms of “sceptical doubts” and a “sceptical solution.” In the Treatise, “total” and “extravagant” skepticism come into play only as “systems of philosophy” that Hume uses to shed light on his own core commitments. The problem, I think, is that Ribeiro tends to read Hume a little too literally, as if he is himself falling prey to the skeptical upheaval of the conclusion to the first book of the Treatise, or the final section of the first Enquiry. But I would suggest that Hume is rather deploying the rhetoric of skepticism in these discussions, using it for his ultimate philosophical ends (a point that is especially clear in Ribeiro’s favorite of Hume’s works, the Dialogues). He is showing his reader how his naturalistic philosophical project is itself rooted in human nature, and thus does not yield insight into the intrinsic structure of... (shrink)

There are no such things as minds, but people have mental properties, which is to say that certain psychological predicates are true of them. These properties are constantly changing, and such changes are mental events. Examples are: noticing that it is time for lunch, seeing that the wind is rising, remembering the new name of Cambodia, deciding to spend next Christmas in Botswana, or developing a taste for Trollope. Mental events are, in my view, physical (which is not, of course, (...) to say that they are not mental). This is a thesis that follows from certain premises, all of which I think are true. The main premises are. (shrink)

The article elaborates an original intertwined reading of republican theory, deliberative democracy and political equality. It argues that republicans, deliberative democrats and egalitarian scholars have not paid sufficient attention to a number of features present in these bodies of scholarships that relate them in mutually beneficial ways. It shows that republicanism and deliberative democracy are related in mutually beneficial ways, it makes those relations explicit, and it deals with potential objections against them. Additionally, it elaborates an egalitarian principle underpinning the (...) resulting model that I label Equality of Access and Deliberation. The upshot of these considerations is a novel and mutually reinforcing interrelated three-tiered theoretical and institutional proposal. (shrink)

As the accompanying articles in the Special Issue on Semiotic Scaffolding will attest, my colleagues in biosemiotics have done an exemplary job in showing us how to think about the critically generative role that semiotic scaffolding plays “vertically” – i.e., in evolutionary and developmental terms – by “allowing access to the upper floors” of biological complexity, cognition and evolution.In addition to such diachronic considerations of semiotic scaffolding, I wish to offer here a consideration of semiotic scaffolding’s synchronic power, as well (...) – and in particular the ability that it can afford its users to access new and other sign relations “horizontally” as a function of the way that multiple semiotically scaffolded relations intertwine to result in a “definite semantic topology that determines the ways that symbols modify each other’s referential functions in different combinations”.Taking up, in turn, Terrence Deacon’s later challenge that what the sciences of cognition – and biology more generally – needs to “come to grips with [is] the process of semiosis; the dynamic of interpretive activity by which semiotic relationships emerge from other semiotic relationships [as] intrinsically dynamic phases in a generative process”, I attempt here to show how Deacon’s own Peirce-inspired matrix of referential sign relations as presented in The Symbolic Species, when viewed as a semiotic scaffold of interactional constraints and possibility biases, provides the key to understanding the essentially thirdness-manifesting nature of symbol reference, formation and growth. (shrink)