This editorial, introducing the Journal for Theoretical & Marginal Mathematics Education, is historically situated in a moment when the field of mathematics education research is on the precipice of acknowledging that the old world is dying. That is to say, the way research has been done before is no longer adequate for operating within the White, Colonial, cis-hetero Patriarchal, Abled Capitalist dystopia we find ourselves. This inadequacy is, however, not a reason for despair but instead for celebration. Instead of directing (...) our resources towards reifying existing norms and structures, towards adopting exhausted methods and theories—as is the way of the old world—we can instead foster a ‘new aesthetics’ of mathematics education research, wherein we remake the very material that constitutes mathematics education research itself. In doing so, we engage with the politics of the margins of mathematics education research. We discuss the critical, philosophical, and psychoanalytic as three potential, but non-exhaustive, departures from mathematics education research as it has been. Each of these marginal approaches, in their own way, points to the ways that presuming a fixed mathematics education research enacts exclusionary politics and precludes change. Let this be our manifesto, written from the margins, for a more root-grasping, more self-reflective, and freer mathematics education research. (shrink)

Introduction: What is the critical spirit?--Utopianism, ancient and modern, by M.I. Finley.--Primitive society in its many dimensions, by S. Diamond.--Manicheanism in the Enlightenment, by R.H. Popkin.--Schopenhauer today, by M. Horkheimer.--Beginning in Hegel and today, by K.H. Wolff.--The social history of ideas: Ernst Cassirer and after, by P. Gay.--Policies of violence, from Montesquieu to the Terrorist, by E.V. Walter.--Thirty-nine articles: toward a theory of social theory, by J.R. Seeley.--History as private enterprise, by H. Zinn.--From Socrates to Plato, by H. Meyerhoff.--Rational society (...) and irrational art, by H. Read.--The quest for the Grail; Wagner and Morris, by C.E. Schorske.--Valéry; Monsieur Teste, by L. Goldmann.--History and existentialism in Sartre, by L. Krieger.--German popular biographies; culture's bargain counter, by L. Lowenthal.--The Rechtsstaat as magic wall, by O. Kirchheimer. (shrink)

How should clinical ethicists be trained? Scholars have stated that clinical ethics fellowships create well-trained, competent ethicists. While this appears intuitive, few features of fellowship programs have been publicly discussed, let alone debated. In this paper, we examine how fellowships can foster effective mentoring relationships. These relationships provide the foundation for the fellow’s transition from novice to competent professional. In this essay, we begin by discussing our pedagogical commitments. Next, we describe the structures our program has created to assist our (...) fellows in becoming competent ethicists. We then outline the kinds of knowledge, skills, and professional attributes mentors should possess. Following this, we focus on the knowledge, skills, and professional attributes that fellows develop as they co-create effective mentoring relationships. We will not prescribe a single approach to fellowship training; instead, our perspective will, we hope, become a catalyst for further conversation on training and mentoring clinical ethics fellows. (shrink)

This paper consists of commentaries about and the reprint of an autobiographical essay authored by Italian medium Eusapia Palladino and published in 1910. The details of the essay are discussed in terms of the writings of other individuals about the life and performances of the medium. The essay conveys a view of Palladino as a person who has suffered much in life and has a mission to help scientific research into mediumship. Typical of the positive emphasis in autobiographies in general, (...) the medium did not discuss negative aspects of her performances. Due to the fact that the essay appeared during Palladino's visit to New York City in which many authors branded her as a fraud, it may be speculated that the purpose of this autobiography was to elicit sympathy from the American public. While some of the statements that Palladino made about phenomena are consistent with the statements of other authors who have written about her, there are several statements that show alternate or incomplete versions of particular events in her life. The differences suggests that Palladino's essay and other discussions about the medium's life are not reliable when it comes to specific details and to biographical accuracy. (shrink)

Hilbert’s unpublished 1917 lectures on logic, analyzed here, are the beginning of modern metalogic. In them he proved the consistency and Post-completeness (maximal consistency) of propositional logic -results traditionally credited to Bernays (1918) and Post (1921). These lectures contain the first formal treatment of first-order logic and form the core of Hilbert’s famous 1928 book with Ackermann. What Bernays, influenced by those lectures, did in 1918 was to change the emphasis from the consistency and Post-completeness of a logic to its (...) soundness and completeness: a sentence is provable if and only if valid. By 1917, strongly influenced by PM, Hilbert accepted the theory of types and logicism -a surprising shift. But by 1922 he abandoned the axiom of reducibility and then drew back from logicism, returning to his 1905 approach of trying to prove the consistency of number theory syntactically. (shrink)

Cultural difference has been largely ignored within bioethics, particularly within the end-of-life discourses and practices that have developed over the past two decades in the U.S. healthcare system. Yet how should culturebe taken into account?

What gave rise to Ernst Zermelo's axiomatization of set theory in 1908? According to the usual interpretation, Zermelo was motivated by the set-theoretic paradoxes. This paper argues that Zermelo was primarily motivated, not by the paradoxes, but by the controversy surrounding his 1904 proof that every set can be wellordered, and especially by a desire to preserve his Axiom of Choice from its numerous critics. Here Zermelo's concern for the foundations of mathematics diverged from Bertrand Russell's on the one hand (...) and from Felix Hausdorff's on the other. (shrink)

The first part of the book investigates Nietzsche's knowledge and understanding of specific disciplines and the influence of particular scientists on Nietzsche ...

The standard interpretation of the imitation game is defended over the rival gender interpretation though it is noted that Turing himself proposed several variations of his imitation game. The Turing test is then justified as an inductive test not as an operational definition as commonly suggested. Turing's famous prediction about his test being passed at the 70% level is disconfirmed by the results of the Loebner 2000 contest and the absence of any serious Turing test competitors from AI on the (...) horizon. But, reports of the death of the Turing test and AI are premature. AI continues to flourish and the test continues to play an important philosophical role in AI. Intelligence attribution, methodological, and visionary arguments are given in defense of a continuing role for the Turing test. With regard to Turing's predictions one is disconfirmed, one is confirmed, but another is still outstanding. (shrink)

While it is not explicitly included in capacity assessment tools, “consistency” has come to feature as a central concern when assessing patients’ capacity. In order to determine whether inconsistency indicates incapacity, clinicians must determine the source of the inconsistency with respect to the process or content of a patient’s decision-making. In this paper, we outline common types of inconsistency and analyze them against widely accepted elements of capacity. We explore the question of whether inconsistency necessarily entails a deficiency in a (...) patient’s capacity. While inconsistency may count as prima facie evidence of incapacity—enough evidence to justify a closer look—when making such determinations, it is important for clinicians to slow down, inquire about the reasons underlying the inconsistency and clearly show which of the elements of capacity the patient fails to satisfy. (shrink)

This volume of Bertrand Russell's _Collected Papers_ finds Russell focused on writing _Principia Mathematica_ during 1905–08. Eight previously unpublished papers shed light on his different versions of a substitutional theory of logic, with its elimination of classes and relations, during 1905-06. A recurring issue for him was whether a type hierarchy had to be part of a substitutional theory. In mid-1907 he began writing up the final version of _Principia_, now using a ramified theory of types, and eleven unpublished drafts (...) from 1907-08 deal with this. Numerous letters show his thoughts on the process. The volume's 80-page introduction covers the evolution of his logic from 1896 until 1909, when volume I of _Principia _went to the printer. (shrink)

This paper explores how the Generalized Continuum Hypothesis (GCH) arose from Cantor's Continuum Hypothesis in the work of Peirce, Jourdain, Hausdorff, Tarski, and how GCH was used up to Gödel's relative consistency result.

This volume shows Russell in transition from a neo-Kantian and neo-Hegelian philosopher to an analytic philosopher of the first rank. During this period his research centred on writing The Principles of Mathematics where he drew together previously unpublished drafts. These shed light on Russell's paradox. This material will alter previous accounts of how he discovered his paradox and the related paradox of the largest cardinal. The volume also includes a previously unpublished draft of an early attempt to solve his paradox, (...) as well as the earliest known version of his generalised relation arithmetic. It contains three articles which have never previously been published in English. (shrink)

In this reply, I seek to summarize fairly the criticisms advanced by each of my four critics, Jonathan Schaffer, Gideon Yaffe, John Gardner, and Carolina Sartorio. That there is so little overlap either in the aspects of the book on which they focus or in the arguments they advance about those issues has forced me to reply to each of them separately. Schaffer focuses much of his criticisms on my view that absences cannot serve as causal relata and argues that (...) this commits me to the view that double preventions cannot be causal of events such as deaths. I deny that double preventions such as beheadings are not causal, while admitting that other double preventions are not causal but denying that this latter conclusion is unwelcome in its implications. Yaffe criticizes my view that a person substantially causing some harm H is sufficient for that person having performed the activity of H-ing, whereas I affirm that causing H is sufficient for doing the action of H-ing even if it is not sufficient for intentionally H-ing. Gardner takes issue with my “experiential argument” for the relevance of causation to moral blame; he urges that we cannot infer that we are more guilty from either the psychological fact that we feel more guilty or from the moral fact that it is virtuous to feel such heightened guilt, because it is viciously circular: we feel such guilt only because we have already judged that we are more guilty, and it is virtuous to feel such guilt only because we in fact are more guilty. I deny such circularity exists. Sartorio takes issue with my thesis that in omissive overdetermination cases neither omitter is morally responsible for the harm. I trade intuitions with Sartorio about a range of related cases that we each think bears on the issue. (shrink)

The computer revolution can beusefully divided into three stages, two ofwhich have already occurred: the introductionstage and the permeation stage. We have onlyrecently entered the third and most importantstage – the power stage – in which many ofthe most serious social, political, legal, andethical questions involving informationtechnology will present themselves on a largescale. The present article discusses severalreasons to believe that future developments ininformation technology will make computerethics more vibrant and more important thanever. Computer ethics is here to stay!

Morality can help guide behavior and facilitate relationships. Although moral judgments by autistic people are similar to neurotypical individuals, many researchers argue that subtle differences signify deficits in autistic individuals. Moral foundation theory describes moral judgments in terms of differences rather than deficits. The current research, aimed at assessing autistic individuals’ moral inclinations using Haidt’s framework, was co-designed with autistic community members. Our aim was to describe autistic moral thinking from a strengths-based perspective while acknowledging differences that may pose interpersonal (...) challenges among autistic youth. We assessed 25 autistic and 23 neurotypical children’s moral judgments using the Moral Foundations Questionnaire for Kids. We used semi-structured interviews and qualitative analysis with a subset of participants to describe children’s moral reasoning. Analyses suggested that autistic and neurotypical children make similar judgments about moral transgressions across all five moral foundations. General linear mixed modeling showed that the greatest predictor of recommending punishment was how bad children deemed moral transgressions to be. We also found a trend that autistic children were more likely to recommend punishment for harmless norms violations than were neurotypical children. Future research could use longitudinal methods to understand the development of moral judgments among autistic and neurotypical children. (shrink)

arbitrary flowchart programs by introducing a new recursive function for each tag point. In the above example, one obtains: int = int1, p..... 1 h ), w...., y2r )_.

This is not a book on religious language, not an analysis or suggestion about the "logic" of God-talk. It is one of those homiletical efforts to make God relevant. But, as such it is a notch above most. Its images are fairly vivid, and its language is urbane and fresh, although occasionally new phrases are coined without sufficient development or rationale to reveal what they mean. Its approach, then, is theological not philosophical, compelled as it is to cover Christian motifs--sin, (...) salvation, resurrection, eternal life, etc. One of the frequent themes is the rejection of the medieval propositional approach to God and the rejection of the "half-baked existentialist" conceptual approach. Rather, Moore sees the discovery and understanding of God in terms of a radically loving, Christ-powered life-style.--S. O. H. (shrink)

This Element critically surveys the full range of G. E. Moore's ethical thought, including: his rejection of naturalism in favor of the view that 'good' designates a simple, indefinable property, which cannot be identified with or reduced to any other property; his understanding of intrinsic value, his doctrine of organic wholes, his repudiation of hedonism, and his substantive account of the most important goods and evils; and his critique of egoism and subjectivism and his elaboration of a non-hedonistic variant (...) of utilitarianism that, among other things, creatively blends aspects of act- and rule-oriented versions of that theory. (shrink)

Chefs have been recognized as potentially important partners in efforts to promote local food systems. Drawing on the diffusion of innovation framework we (a) examine the characteristics of chefs and restaurants that have adopted local foods; (b) identified local food attributes valued by restaurants; (c) examine how restaurants function as opinion leaders promoting local foods; (d) explored network linkages between culinary and production organizations; and (e) finally, we consider some of the barriers to more widespread adoption of local foods in (...) the culinary community. Analyzing quantitative and qualitative data collected from interviews with individuals from 71 restaurants, we compare and contrast restaurants that utilize relatively large amounts of locally-produced ingredients with restaurants using few, if any, local products. Results reveal that chefs are most interested in intrinsic food qualities, such as taste and freshness, and less interested in production standards. As opinion leaders, chefs utilize signage, wait staff, and cooking classes to promote local foods; however, the diffusion process across restaurants, and between restaurants and producers, is limited by network associations. Structural barriers such as distribution problems and lack of convenience were identified as limiting more widespread use of locally-grown foods. We offer several implications of this research for further work that seeks to engage chefs as opinion leaders who are important to building greater support for local food systems. (shrink)

These essays were delivered at the Fourth East-West Philosophers conference at the University of Hawaii in 1964. Because the audience was of various traditions, most of the papers contain instruction in rudiments as well as points of more technical interest. The oriental speakers especially take pains not to spring their special terminology on the western listener. The book systematically and thoroughly works through the themes of the individual in Chinese, Indian, Japanese, and western metaphysics, methodology, religion, and ethics. Social, political, (...) and legal thought and practice are also covered. Some of the papers are followed by transcripts of questions and answers. These are often very helpful and revealing as they focus the issues and require the speaker to be specific in summarizing his points. Altogether there are thirty-three contributors, only a minority of whom are westerners. These include: Charles Moore, Wm. E. Hocking, H. E. McCarthy, John Smith, W. H. Werkmeister, E. W. Strong, R. Polin, and R. McKeon. Again and again both East and West stressed the interconnection and interdependence of the individual and the universal, the individual and the community. There is an appendix containing the conference's public lectures, which were given by S. M. McMurrin, C. Regamey, and D. T. Suzuki. The book and the conference end with Moore citing highlights and provocative points from virtually all the lectures. This provides a useful summary and synthesis of what would otherwise be an overwhelming deluge of intellection. There are notes on contributors and an index.--S. O. H. (shrink)

At Moore’s time, the main-stream ethical theory is the doctrine that pleasure alone is good as an end as held by the hedonistic utilitarianism. Moore, however, asserts that good, not composed of any parts, is a simple notion and indefinable, and naturalistic ethical theories, in particular hedonistic utilitarianism, interpret intrinsic good as a property of a single natural object---pleasure, which is also the sole end of life, thus violates naturalistic fallacy. Moore seems to believe that there exist (...) things other than pleasure that are also intrinsically good and has searched for them. But Moore has not clearly stated what these things are, nor has he given any justification for why they are intrinsically good. This paper discusses Moore’s arguments and difficulties of utilitarianism. With the subjectivistic utilitarian theory of value, Unified Utilitarian Theory (UTT) discards the classification of value into intrinsic and instrumental and proves to be exempt of all theexisting difficulties with utilitarianism related to pleasure, including naturalistic fallacy, vagueness of pleasure and sole end of life, double counting, etc. (shrink)

The present article is the first in a series of three that outlines the historical and conceptual background of B.F. Skinner’s radical behaviorism. The series seeks to identify milestones in the development of Skinner’s position, as well as assess the impact of particular factors and events on Skinner himself. Of special interest in this article are the biographical details of Skinner’s life between June, 1926, when he received his undergraduate degree, and September, 1928, when he entered graduate school. The article (...) also examines the intellectual climate at the start of the second quarter of the twentieth century that led Skinner to become interested in the empirical study of behavior. Overall, Skinner’s views during this period were significantly influenced by such literary figures in the modernist tradition as H.G. Wells and Sinclair Lewis; and such scientific/philosophical figures as Francis Bacon, Jacques Loeb, Ivan Pavlov, Bertrand Russell, and John B. Watson. (shrink)

Both the essays in this short book have appeared before, but separately and both in German. Voegelin shows how certain modern intellectual movements whether political, philosophical, scientific, right or left share characteristics with ancient gnosticism in that they are salvation-oriented formulas designed to dominate and control being by conceptually reconstructing it into a manageable, man-centered packet. The gnosis is the knowledge of the particular method of altering being. Voegelin isolates two major prerequisites for the construction and marketing of such formulas: (...) 1) The prohibition of questioning, and 2) the elimination from the formula of the essential features of being that would tend to expose the program as foolish. He picks on Nietzsche and Marx as the "intellectual swindlers" indulging in 1, and cites Moore's Utopia, Hobbe's Leviathan and Hegel's construct of history as demonstrating 2. The book is generally intriguing with occasional worthy aphoristic insights. It can be read in one enjoyable sitting.--S. O. H. (shrink)

This study argues that the early philosophy of Semyon Liudvigovich Frank (1877–1950) exhibits significant intellectual correlations with nineteenth century German Idealist philosophy. The idealists in question are Immanuel Hermann Fichte (1796–1879), G.W.F. Hegel (1770–1831) and F.W.J. Schelling (1775–1854). It will be suggested that the critical tension of Frank’s early philosophy is precisely a tension between his Hegelian and Schellingian tendencies. The paper will first introduce Frank’s theory of a “personal absolute”, exploring its surprising parallels with the religious philosophy of I. (...) H. Fichte. The analysis then addresses the self-dispersal of Hegel’s absolute, before finally turning to Schelling’s immediate intuition of subject-object identity. (shrink)

Generals always prepare for the last war.—Winston ChurchillYet in the 18th century, European thinkers noticed that social transformations had been accelerating for several thousand years; subsequent historical knowledge has made this observation more graphic and global. How long can the acceleration regime continue? In 1958, John von Neumann used the mathematical ‘singularity’ concept apropos of this subject, and the sonorous term was soon accepted in the humanities.The conceptual intrigue has become still more fascinating since a series of independent calculations demonstrated (...) that the acceleration period was not limited by human history and prehistory but embraced 4.5 billion years of biosphere evolution in tune with a simple logarithmic law. This is one of the epoch-making and surprising discoveries in the early 21st century. Continents have been drifting on Earth over billions of years, climate changing repeatedly, meteorites falling down and volcanoes blowing up—yet, the phase tra .. (shrink)