A subspace V of an infinite dimensional fully effective vector space V ∞ is called decidable if V is r.e. and there exists an r.e. W such that $V \oplus W = V_\infty$ . These subspaces of V ∞ are natural analogues of recursive subsets of ω. The set of r.e. subspaces forms a lattice L(V ∞ ) and the set of decidable subspaces forms a lower semilattice S(V ∞ ). We analyse S(V ∞ ) and its relationship with L(V (...) ∞ ). We show: Proposition. Let U, V, W ∈ L(V ∞ ) where U is infinite dimensional and $U \oplus V = W$ . Then there exists a decidable subspace D such that U |oplus D = W. Corollary. Any r.e. subspace can be expressed as the direct sum of two decidable subspaces. These results allow us to show: Proposition. The first order theory of the lower semilattice of decidable subspaces, Th(S(V ∞ )), is undecidable. This contrasts sharply with the result for recursive sets. Finally we examine various generalizations of our results. In particular we analyse S * (V ∞ ), that is, S(V ∞ ) modulo finite dimensional subspaces. We show S * (V ∞ ) is not a lattice. (shrink)

In this article we show that it is possible to completely classify the degrees of r.e. bases of r.e. vector spaces in terms of weak truth table degrees. The ideas extend to classify the degrees of complements and splittings. Several ramifications of the classification are discussed, together with an analysis of the structure of the degrees of pairs of r.e. summands of r.e. spaces.

Schnorr randomness is a notion of algorithmic randomness for real numbers closely related to Martin-Löf randomness. After its initial development in the 1970s the notion received considerably less attention than Martin-Löf randomness, but recently interest has increased in a range of randomness concepts. In this article, we explore the properties of Schnorr random reals, and in particular the c.e. Schnorr random reals. We show that there are c.e. reals that are Schnorr random but not Martin-Löf random, and provide a new (...) characterization of Schnorr random real numbers in terms of prefix-free machines. We prove that unlike Martin-Löf random c.e. reals, not all Schnorr random c.e. reals are Turing complete, though all are in high Turing degrees. We use the machine characterization to define a notion of "Schnorr reducibility" which allows us to calibrate the Schnorr complexity of reals. We define the class of "Schnorr trivial" reals, which are ones whose initial segment complexity is identical with the computable reals, and demonstrate that this class has non-computable members. (shrink)

BackgroundPeople with upper extremity amputations report receiving insufficient information about treatment options. Furthermore, patients commonly report not knowing what questions to ask providers. A question prompt sheet, or list of questions, can support patient-centered care by empowering patients to ask questions important to them, promoting patient-provider communication, and increasing patient knowledge. This study assessed information needs among people with UE amputations about UE vascularized composite allotransplantation and developed a UE VCA-QPS.MethodsThis multi-site, cross-sectional, mixed-methods study involved in-depth and semi-structured interviews with (...) people with UE amputations to assess information needs and develop a UE VCA-QPS. Qualitative data were analyzed by thematic analysis; quantitative data were analyzed by descriptive statistics. The initial UE VCA-QPS included 130 items across 18 topics.ResultsEighty-nine people with UE amputations participated. Most were male, had a mean age of 46 years, and had a unilateral and below-elbow amputation. Participants desired information about UE VCA eligibility, evaluation process, surgery, risks, rehabilitation, and functional outcomes. After refinement, the final UE VCA-QPS included 35 items, across 9 topics. All items were written at a ≤ 6th grade reading level. Most semi-structured interview participants reported being ‘completely’ or ‘very’ likely to use a UE VCA-QPS.ConclusionPeople with UE amputations have extensive information needs about UE VCA. The UE VCA-QPS aims to address patients’ information needs and foster patient-centered care. Future research should assess whether the UE VCA-QPS facilitates patient-provider discussion and informed decision-making for UE VCA. (shrink)

If affirmative action and other ethnicity-based social programs are justified, then J. Angelo Corlett believes it is important to come to an adequate understanding of the nature of ethnicity in general and ethnic group membership in particular. In Race, Racism, and Reparations, Corlett reconceptualizes traditional ideas of race in terms of ethnicity. As he makes clear, the answers to the questions "What is a Native American?" or "What is a Latino?" have important implications for public policy, especially for those programs (...) designed to address historic injustices and economic and social imbalances among different groups in our society. Having supplanted "race" with a well-defined concept of ethnicity, the author then analyzes the nature and function of racism. Corlett argues for a notion of racism that must encompass not only racist beliefs but also racist actions, omissions, and attempted actions. His aim is to craft a definition of racism that will prove useful in legal and public policy contexts. Corlett places special emphasis on the broad questions of whether reparations for ethnic groups are desirable and what forms those reparations should take: land, money, social programs? He addresses the need for differential affirmative action programs and reparations policies—the experiences of different ethnic groups vary greatly. Arguments for reparations to Native and African Americans are considered in light of a variety of objections that are or might be raised against them. Corlett articulates and critically analyzes a number of possible proposals for reparations. (shrink)

Introduction by Ralph McInerny The essays in this volume, indebted in great part to Jacques Maritain and to other Neo-Thomists, represent a contribution to an understanding of beauty and the arts within the Aristotelian-Thomistic tradition. As such they constitute a different voice in present-day discussions on beauty and aesthetics, a voice which nonetheless shares with many of its contemporaries concern over questions such as the relationship between beauty and morality, public funding of the arts and their educational role, objective and (...) universal standards of what is beautiful. In the tradition in which the contributors of this volume reflect, beauty manifests itself in the order of the universe, an order that provides human reason with a window onto the transcendent. For Aristotle and Aquinas the natural order grounds both art and morality, and yet it is this very order which has been called into question by modern science and philosophy. Instead of pointing us to a suprahuman order, the beautiful then points to the order of human freedom and creativity. Reflection on the beautiful since the modern philosopher Immanuel Kant has thus often taken a subjectivistic turn. Because of the importance of beauty and art in human existence, in man's education and life as a moral and political being, an alternative should be sought to any reduction of the beautiful to a purely subjective experience or cultural construct. The Aristotelian-Thomistic tradition, in dialogue with modern and contemporary conceptions of the beautiful, provides us with just that alternative, and thus the essays herein represent a decisive step in the "journey for Thomistic aesthetics." THE CONTRIBUTORS: In addition to the editor, the contributors to the volume are: Brian J. Braman, Matthew Cuddeback, Christopher M. Cullen, S.J., Patrick Downey, Desmond J. FitzGerald, Donald Haggerty, Wayne H. Harter, Jeanne M. Heffernan, Thomas S. Hibbs, Gregory J. Kerr, Joseph W. Koterski, S.J., Daniel McInerny, Ralph McInerny, James P. Mesa, John F. Morris, Ralph Nelson, Katherine Anne Osenga, Carrie Rehak, Stephen Schloesser, S.J., Francis Slade, John G. Trapani, Jr., and Henk E. S. Woldring. ABOUT THE EDITOR: Alice Ramos is associate professor of philosophy at St. John's University. (shrink)

The people and the value of their experience, by N. T. Pratt.--From kingship to democracy, by J. P. Harland.--Democracy at Athens, by G. M. Harper.--Athens and the Delian League, by B. D. Meritt.--Socialism at Sparta, by P. R. Coleman-Norton.--Tyranny, by M. Mac Laren.--Federal unions, by C. A. Robinson.--Alexander and the world state, by O. W. Reinmuth.--The Antigonids, by J. V. A. Fine.--Ptolemaic Egypt: a planned economy, by S. L. Wallace.--The Seleucids: the theory of monarchy, by G. Downey.--The political status (...) of the independent cities of Asia Minor in the Hellenistic period, by D. Magie.--The ideal states of Plato and Aristotle, by W. J. Oates.--Epilogue, by A. C. Johnson.--Bibliography (p. 225-233).--Index, by H. V. M. Dennis, III. (shrink)

Head transplantation fits within the broader conceptual space occupied by transhumanists and others who seek to extend the lives of human beings indefinitely. It is reasonable to reflect on whether, under what circumstances, and in what ways human immortality would be good. In this paper, I disambiguate the ways in which immortality might be considered a human good and then argue that immortality is neither necessary nor sufficient condition for objective meaning in life. I also argue that mortality is not (...) a necessary condition for objective meaning in life. (shrink)

This paper will develop the concept of semiogenesis – a process of novel sign generation – and how instances of this process, such as agency, relate to their built environment and beyond. Section two will build on Hoffmeyer’s discussion of swarms, specifically the idea of overlapping swarms and its manifestation in the creation of termite mounds, in order to introduce three types of structure. Building upon this real-world example explored in section two, the third section will present a heuristic for (...) semiogenesis: a neuromorphic dynamic system model grounded in information and thermodynamic theory. Through the lens of this heuristic model, the penultimate section will more rigorously characterize the similarities and differences between termite and human agency in their respective built milieus. (shrink)

Seminal essays on environmental philosophy from Indian, Chinese, and Japanese traditions of thought. Environmental Philosophy in Asian Traditions of Thought provides a welcome sequel to the foundational volume in Asian environmental ethics Nature in Asian Traditions of Thought. That volume, edited by J. Baird Callicott and Roger T. Ames and published in 1989, inaugurated comparative environmental ethics, adding Asian thought on the natural world to the developing field of environmental philosophy. This new book, edited by Callicott and James McRae, includes (...) some of the best articles in environmental philosophy from the perspective of Asian thought written more recently, some of which appear in print for the first time. Leading scholars draw from the Indian, Chinese, and Japanese traditions of thought to provide a normative ethical framework that can address the environmental challenges being faced in the twenty-first century. Hindu, Buddhist, Confucian, and Daoist approaches are considered along with those of Zen, Japanese Confucianism, and the contemporary philosophy of the Kyoto School. An investigation of environmental philosophy in these Asian traditions not only challenges Western assumptions, but also provides an understanding of Asian philosophy, religion, and culture that informs contemporary environmental law and policy. J. Baird Callicott is University Distinguished Research Professor of Philosophy at the University of North Texas and author and editor of many books, including Beyond the Land Ethic: More Essays in Environmental Philosophy, also published by SUNY Press. James McRae is Associate Professor of Philosophy and Religion at Westminster College in Missouri. He is the coeditor (with Robert Arp and Adam Barkman) of The Philosophy of Ang Lee. (shrink)

The reception history of the French Revolution in France and England is well documented among Anglophone scholars; however, the debate over the Revolution in Germany is much less well known. Fichte's Contribution played an important role in this debate. Presented here for the first time in English, Fichte's work provides a distinctive synthesis of Locke's "possessive individualism," Rousseau's general will, and Kant's moral philosophy. This eclectic blend results in an unusual rights theory that at times veers close to a form (...) of anarchism. Written in 1792–93, just before Fichte moved to Jena to develop his philosophical system in a series of works—above all the Wissenschaftslehre of 1794—the Contribution provides invaluable insight into Fichte's early development. In addition, Fichte's work predates much of Kant's political philosophy, and can shed light on the rich dialogue in German political thought in the 1790s. (shrink)

Prof. Alberto Urquidez, in an important recent article that appears in different form in his book, Redefining Racism, offers an informed, sustained, careful, multi-pronged, and sometimes original critique of the volitional analysis of racism, which I have proposed in a series of articles over the past two dozen years. Here I expand and improve VAR’s analysis of paternalistic racists and their beliefs, clarify its ‘infection’-model’s explanation of racism’s spread and variety, and lay out what it is for something to be (...) ‘characteristically’ racist, an understanding that I then use to offer a unified account of the way in which both certain physical objects and certain abstract objects can properly be called racist. Identifying and engaging some presuppositions behind Urquidez’s social, political, and moral criticisms of VAR, I respond to complaints from him and others, showing that VAR’s content is neither politically conservative nor dependent on religious doctrine, and point out that race theory would in fact profit from taking more seriously and internalizing the Christian morality of most African-Americans. (shrink)

In this book, J.H. Plumb investigates the way that humankind has, since the beginning of recorded time, molded the past to give sanction to their institutions of government, their social structure and morality. The past has also been called upon to explain the nature of our destiny in order both to strengthen the objectives of society and to reconcile us to our lot. J.H. Plumb questions this sanction of the past, the force that it has on our sense of destiny (...) and its relevance to our own times. This classic text is now reissued with a new introduction by Niall Ferguson, placing it within a contemporary context, and with a new foreword by the eminent historian Simon Schama, a former student of J.H.Plumb himself. (shrink)

J.L. Chretien is a French public intellectual, philosopher and poet, widely published and revered in his home country and in academic circles worldwide. This translation makes his work available to an English-language audience for the first time and a crucial contribution to our understanding of the phenomenology of religious experience.

The role of microaggressions has gained increasing philosophical attention in recent years. However, microaggressions only tell part of the story. An often-overlooked component of inequality is the uneven and unjust distribution of microaffirmations. In this paper, I give a new definition of microaffirmations as signals that a recipient belongs to some valued or high-status class. Microaffirmations can—but need not—lead individuals to gain a sense of confidence, belonging, and merit. I then explain the harms of microaffirmations, arguing that when microaffirmations are (...) distributed inequitably, they can have larger ramifications for injustice, harming some vulnerable groups more than others. In addition, microaffirmations can lead individual actors to make choices based on who gives them microaffirmations and where they receive them, and thus can have outsized influence over the direction of an individual’s life because individuals tend to migrate to where they feel valued, appreciated, and included. I then turn to solutions to the problems I raise. I argue we should attend to and attempt to rectify inequalities in microaffirmations because doing so can help ensure not just the absence of negative attention, but also that the presence of positive attention is flowing in a just and equitable way. (shrink)

Stephen Finlay’s proposed methodology for defending the central theses of his impressive Confusion of Tongues is an underexplored aspect of this work.1 1 His official methodology is analytic : A reduction of normative to non-normative vocabulary. Here, I argue that taking this official line at face-value forces the reader to conclude that the reductions at the heart of that book cannot be correct. In contrast, a philosophical methodology that does not proceed via analyses would better support those reductions, then understood (...) as non-analytic. As we’ll see below, there are independent, empirical reasons to reject a philosophical methodology that proceeds via analyses. I conclude that there is a method for the study of ethical language that better serves Finlay’s primary philosophical aims. The lesson, though, is generalizable: Given the array of normative and meta-normative theories, we want a semantics for normative discourse to be capable of expressing, we should expect that the more plausible such views will not be defended via analyses. (shrink)