We show that the Π 0 2 enumeration degrees are not dense. This answers a question posed by Cooper.

Levin and Schnorr (independently) introduced the monotone complexity, Km(α), of a binary string α. We use monotone complexity to define the relative complexity (or relative randomness) of reals. We define a partial ordering ≤Km on 2ω by α ≤Km β iff there is a constant c such that Km(α ↾ n) ≤ Km(β ↾ n) + c for all n. The monotone degree of α is the set of all β such that α ≤Km β and β ≤Km α. We (...) show the monotone degrees contain an antichain of size 2N0, a countable dense linear ordering (of degrees of cardinality 2N0), and a minimal pair. Downey, Hirschfeldt, LaForte, Nies and others have studied a similar structure, the K -degrees, where K is the prefix-free Kolmogorov complexity. A minimal pair of K -degrees was constructed by Csima and Montalbán. Of particular interest are the noncomputable trivial reals, first constructed by Solovay. We define a real to be (Km, K)-trivial if for some constant c, Km(α ↾ n) ≤ K(n)+c for all n. It is not known whether there is a Km-minimal real, but we show that any such real must be (Km, K)-trivial. Finally, we consider the monotone degrees of the computably enumerable (c.e.) and strongly computably enumerable (s.c.e.) reals. We show there is no minimal c.e. monotone degree and that Solovay reducibility does not imply monotone reducibility on the c.e. reals. We also show the s.c.e. monotone degrees contain an infinite antichain and a countable dense linear ordering. (shrink)

Calhoun, W.C., Incomparable prime ideals of recursively enumerable degrees, Annals of Pure and Applied Logic 63 39–56. We show that there is a countably infinite antichain of prime ideals of recursively enumerable degrees. This solves a generalized form of Post's problem.

We show that the lattice L 20 is not embeddable into the lattice of ideals of computably enumerable Turing degrees (J). We define a structure called a pseudolattice that generalizes the notion of a lattice, and show that there is a Π 2 necessary and sufficient condition for embedding a finite pseudolattice into J.

“The object of this book,” writes William C. Dowling in his preface, “is to make the key concepts of Paul Ricoeur’s _Time and Narrative_ available to readers who might have felt bewildered by the twists and turns of its argument.” The sources of puzzlement are, he notes, many. For some, it is Ricoeur’s famously indirect style of presentation, in which the polarities of argument and exegesis seem so often and so suddenly to have reversed themselves. For others, it is (...) the extraordinary intellectual range of Ricoeur’s argument, drawing on traditions as distant from each other as Heideggerian existentialism, French structuralism, and Anglo-American analytic philosophy. Yet beneath the labyrinthian surface of Ricoeur’s _Temps et récit_, Dowling reveals a single extended argument that, though developed unsystematically, is meant to be understood in systematic terms. __Ricoeur on Time and Narrative_ _presents that argument in clear and concise terms, in a way that will be enlightening both to readers new to Ricoeur and those who may have felt themselves adrift in the complexities of _Temps et récit,_ Ricoeur’s last major philosophical work. Dowling divides his discussion into six chapters, all closely involved with specific arguments in _Temps et récit_: on mimesis, time, narrativity, semantics of action, poetics of history, and poetics of fiction. Additionally, Dowling provides a preface that lays out the French intellectual context of Ricoeur's philosophical method. An appendix presents his English translation of a personal interview in which Ricoeur, having completed _Time and Narrative, _looks back over his long career as an internationally renowned philosopher. __Ricoeur on Time and Narrative___ _communicates to readers the intellectual excitement of following Ricoeur’s dismantling of established theories and arguments—Aristotle and Augustine and Husserl on time, Frye and Greimas on narrative structure, Arthur Danto and Louis O. Mink on the nature of historical explanation—while coming to see how, under the pressure of Ricoeur’s analysis, these ideas are reconstituted and revealed in a new set of relations to one another. "The scholarship in William C. Dowling's __Ricoeur on Time and Narrative____ __is impeccable; Dowling knows Ricoeur inside out. He highlights Ricoeur's most important arguments, presents them in a limpid, concise language, and links them to the relevant nineteenth- and twentieth-century philosophical developments. Dowling's book provides us with a lucid, intelligible version of Ricoeur's major work, one that will be of considerable significance to philosophers, historians, and literary theorists." —_Thomas Pavel, Gordon J. Laing Distinguished Service Professor of French Literature, and the Committee on Social Thought, University of Chicago_ "William C. Dowling's __Ricoeur on Time and Narrative___ _is a subtle and remarkably well-sustained piece of work. It provides a detailed introduction to a major work of philosophy and narrative theory—already a considerable achievement, given the difficulty of Ricoeur's text. However, Dowling also shows us, sometimes explicitly, sometimes simply through the way he conducts his argument, why we should bother with Ricoeur—what we have to gain from knowing him better than we do, however well we may think we know him." —_Michael Wood, Charles Barnwell Straut Class of 1923 Professor of English and Comparative Literature, Princeton University _. (shrink)

Exploring what a scientific metaphysics grounded in biological practices could look like and how it might impact the way we investigate the world around us, the contributors to From Biological Practice to Scientific Metaphysics review and discuss long-held objections to metaphysics by natural scientists. They illuminate how, in order to learn about the world as it truly is, we must look not only at what scientists say but also what they do.

Volume 39 of the Tanner Lectures on Human Values includes lectures initially scheduled during the academic year 2019-2020. Owing to the global coronavirus pandemic, some were delivered at a later date. The Tanner Lectures are published in an annual volume. In addition to permanent lectures at nine universities, the Tanner Lectures on Human Values funds special one-time lectures at selected higher educational institutions in the United States and around the world.

What methodological approaches do research programs use to investigate the world? Elisabeth Lloyd’s Logic of Research Questions (LRQ) characterizes such approaches in terms of the questions that the researchers ask and causal factors they consider. She uses the Logic of Research Questions Framework to criticize adaptationist programs in evolutionary biology for dogmatically assuming selection explanations of the traits of organisms. I argue that Lloyd’s general criticism of methodological adaptationism is an artefact of the impoverished LRQ. My Ordered Factors Proposal extends (...) the LRQ to characterize approaches with sequences of questions and factors. I highlight the importance that ordering one’s investigation plays in approaches at the level of adaptationism by analyzing two research programs in community ecology: competitionists and neutralists. Competitionists and neutralists take opposed starting points and use explanatory and developmental heuristics to consider more factors in due time. On the Ordered Factors Proposal, these approaches are not only the ecological factors they are open to considering but also the order in which they will consider them. My disagreement with Lloyd’s over how to characterize methodological approaches reflects different views about methodological monism and pluralism. (shrink)

Developments that suggest the universe is full of life make the Fermi paradox increasingly pressing, but our search for an extraterrestrial technological civilization (“ETC”) is handicapped by our ignorance of its probable nature and behavior. This paper offers a way around this problem by drawing on information theoretical concepts, including game theory and Bayesian probability. It argues that, whatever its ultimate goals, an ETC would have the same instrumental goals as other intelligent agents. Generically, these are self-preservation and the acquisition (...) of resources. For an advanced ETC, these generic goals imply the objectives of removing existential threats and acquiring strategic and non-strategic information. Since the most problematic existential threats for any ETC would be from other civilizations and planets hosting such civilizations would also be copious sources of information, these objectives would lead it to gather information from these locations and to protect itself against them. This dual-goals hypothesis resolves the Fermi paradox, redirects the search for extraterrestrial intelligence and makes testable predictions regarding ETC’s behavior on Earth if it is here. (shrink)

William C. Gentry was both an academic philosopher, perfectly willing to engage in the philosophical 'conversations' of the written word and, more importantly, a true philosopher, in the Platonic and Socratic style. Engaging with those around him in discourse, in live conversations, which are the vehicle of actual philosophical inquiry and discovery. These essays are the product of those conversations. Gentry's thoughts consisted of investigations into the deepest and most profound questions of human nature, ethics, and knowledge. This volume (...) is a tribute both to his role as a teacher and philosopher. As a teacher, friend, and colleague, Gentry was the epitome of the philosopher: questioning, exploring, critiquing, discovering. (shrink)

This book offers a philosophy for error-prone humans trying to understand messy systems in the real world.

Though the phrase 'x is true of x' is well formed grammatically, it does not express any predicate in the logical sense, because it does not satisfy the principle of reduction for statements containing 'x is true of'. recognition of this allows for solution of russell's paradox without his restrictive theory of types.

This book introduces the work of an important medieval Islamic philosopher who is little known outside the Persian world. Afdal al-Din Kashani was a contemporary of a number of important Muslim thinkers, including Averroes and Ibn al-Arabi. Kashani did not write for advanced students of philosophy but rather for beginners. In the main body of his work, he offers especially clear and insightful expositions of various philosophical positions, making him an invaluable resource for those who would like to learn the (...) basic principles and arguments of this philosophical tradition but do not have a strong background in philosophy. Here, Chittick uses Kashani and his work to introduce the basic issues and arguments of Islamic philosophy to modern readers. (shrink)

Although campaigns for universal human rights have been intellectually and emotionally compelling for many anthropologists, they have tended to embroil them in fruitless polemics about cultural relativism with non-Western thinkers and policy-makers. Often “universalist” discourses about “rights” depend on values and distinctions that are far from universal and that stem, in fact, from Christian, secular, or “modernist” notions about punishment, suffering, and redemption. To make some practical contribution to the struggle for human dignity in the Middle East, it may be (...) preferable to aim for a more limited goal: the abolition of torture in the region. Consensus about the illegitimacy of torture is more easily reached, since none of the Middle East's religious or philosophical traditions condone it. What is more, empirical data demonstrate that torture has increased in frequency in the region and is widely perceived, both by insiders and outsiders, as a growing problem. Ethnographers could play a role in documenting incidents of torture and in building coalitions of Middle Eastern and outsider activists who, working together, could expose torture and bring pressure to bear on those who inflict it. (shrink)

Arne Naess and Paul Taylor are two of the most forceful proponents of the principle of species equality. Problematically, both, when adjudicating conflict of interest cases, resort to employing explicit or implicit species-ranking arguments. I examine how Lawrence Johnson’s critical, species-ranking approach helpfully avoids the normative inconsistencies of “biospherical egalitarianism.” Many assume species-ranking schemes are rooted in arrogant, ontological claims about human, primate, or mammalian superiority. Species-ranking, I believe, is best viewed as a justified articulation of moral priorities in response (...) to individuals’ or entities’ relative ranges of vulnerability and need, rooted in their relative ranges of capacities and interests. (shrink)

Ethical guidelines for multinational corporations are included in several international accords adopted during the past four decades. These guidelines attempt to influence the practices of multinational enterprises in such areas as employment relations, consumer protection, environmental pollution, political participation, and basic human rights. Their moral authority rests upon the competing principles of national sovereignty, social equity, market integrity, and human rights. Both deontological principles and experience-based value systems undergird and justify the primacy of human rights as the fundamental moral authority (...) of these transnational and transcultural compacts. Although difficulties and obstacles abound in gaining operational acceptance of such codes of conduct, it is possible to argue that their guidelines betoken the emergence of a transcultural corporate ethic. (shrink)

Leibniz said that the universe, if God-created, would exist at a unique, conjoint, physical maximum: Of all possible worlds, it would be richest in phenomena, but its richness would arise from the simplest physical laws and initial conditions. Using concepts of ‘‘variety’’ and algorithmic informational complexity, Leibniz’ claim can be reframed as a testable theory. This theory predicts that the laws and conditions of the actual universe should be simpler, and the universe richer in phenomena, than the presence of observers (...) would require. Tegmark has shown that inhabitants of an infinite multiverse would likely observe simple laws and conditions, but also phenomenal richness just great enough to explain their existence. Empirical observations fit the claim of divine choice better than the claim of an infinite multiverse. The future of the universe, including its future information-processing capacity, is predicted to be endless. -/- . (shrink)

Leibniz claimed that the universe, if God-created, would be physically and morally optimal in this conjoint sense: Of all possible worlds, it would be richest in phenomena, but its richness would arise from the simplest physical laws and conditions. This claim raises two difficult questions. First, why would this “richest/simplest” world be morally optimal? Second, what is the optimal balance between these competing criteria? The latter question is especially hard to answer in the context of a multiverse or multi-domain universe. (...) Leibniz focused on goodness as God’s motive in creation. “This is the cause of the existence of the best: that his wisdom makes it known to God, his goodness makes him choose it, and his power lets him produce it.” This article suggests that love is God’s motive. Since love entails acting to both benefit and be with the beloved, limitless love would entail God’s becoming as much unified reality as possible. The physical laws that govern the universe and its vast richness of phenomena appear to be those that we should expect if this claim is true and there are ways of testing the closeness of this fit. The claim that God has become the world (pandeism) also offers a satisfying resolution to the problem of evil. (shrink)

Rhetorical Structure Theory is a theory of text organization that has led to areas of application beyond discourse analysis and text generation, its original goals. In this article, we review the most important applications in several areas: discourse analysis, theoretical linguistics, psycholinguistics, and computational linguistics. We also provide a list of resources useful for work within the RST framework. The present article is a complement to our review of the theoretical aspects of the theory.

The study of Social Issues in Management (SIM) has exhausted its primary analytic framework based on corporate social performance (social science), business ethics (philosophy), and stakeholder theory (organizational science), and needs to move to a new paradigmatic level based on the natural sciences. Doing so would expand research horizons to include cosmological perspectives (astrophysics), evolutionary theory (biology, genetics, ecology), and non-sectarian spirituality concepts (theological naturalism, cognitive neuroscience). Absent this shift, SIM studies risk increasing irrelevance for scholars and business practitioners.

Two strategies for using a model as “null” are distinguished. Null modeling evaluates whether a process is causally responsible for a pattern by testing it against a null model. Baseline modeling measures the relative significance of various processes responsible for a pattern by detecting deviations from a baseline model. When these strategies are conflated, models are illegitimately privileged as accepted until rejected. I illustrate this using the neutral theory of ecology and draw general lessons from this case. First, scientists cannot (...) draw certain conclusions using null modeling. Second, these conclusions follow using baseline modeling, but doing so requires more evidence. (shrink)

Frege begins his exposition of the symbol system employed in his Begriffsschrift by introducing the sign ⟝, whereby, he says, “[a] judgment is always to be expressed”.[The judgment sign] stands to the left of the sign or complex of signs in which the content of the judgment is given. If we omit the little stroke at the left of the horizontal stroke, then the judgment is to be transformed into a mere complex of ideas; the author is not expressing his (...) recognition or nonrecognition of the truth of this. (shrink)

This paper attempts to provide a conceptual underpinning for codes of ethics in business and the professions. Rule-utilitarianism is a theory of ethics which I believe can successfully do this. Business persons and professionals, hopefully, will be able to develop codes of ethics in a manner consistent with a well-formulated general ethical theory. This will help enable codes of ethics to be a bridge between general ethical theory and specific ethical decisions made in business and the professions.

Pandeism claims that God became the Universe at a moment called the Becoming. For it to be possible, the Universe and God cannot be so irreconcilably different that the Becoming would require a miraculous transformation. In four ways especially they must be similar. First, since God is One the Universe must be One; it must be a unified reality. Second, God and the Universe cannot be irreconcilably different in substance as would be the case if God were spirit and the (...) Universe were matter (as those terms are usually understood). Third, the Universe must be conscious, and include as many distinct subjects and objects of consciousness as possible. Fourth, God-and-Universe together must be eternal. This paper argues that our Universe may meet all of these criteria. (shrink)

To say ‘mysticism versus philosophy’ in the context of Islamic civilization means something far different from what it has come to signify in the West, where many philosophers have looked upon mysticism as the abandonment of any attempt to reconcile religious data with intelligent thought. Certainly the Muslim mystics and philosophers sometimes display a certain mutual opposition and antagonism, but never does their relationship even approach incompatibility.