Results for 'Edward G. Belaga'

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  1. Retrieving the Mathematical Mission of the Continuum Concept from the Transfinitely Reductionist Debris of Cantor’s Paradise. Extended Abstract.Edward G. Belaga - forthcoming - International Journal of Pure and Applied Mathematics.
    What is so special and mysterious about the Continuum, this ancient, always topical, and alongside the concept of integers, most intuitively transparent and omnipresent conceptual and formal medium for mathematical constructions and the battle field of mathematical inquiries ? And why it resists the century long siege by best mathematical minds of all times committed to penetrate once and for all its set-theoretical enigma ? -/- The double-edged purpose of the present study is to save from the transfinite deadlock of (...)
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  2. Halfway Up To the Mathematical Infinity I: On the Ontological & Epistemic Sustainability of Georg Cantor’s Transfinite Design.Edward G. Belaga - manuscript
    Georg Cantor was the genuine discoverer of the Mathematical Infinity, and whatever he claimed, suggested, or even surmised should be taken seriously -- albeit not necessary at its face value. Because alongside his exquisite in beauty ordinal construction and his fundamental powerset description of the continuum, Cantor has also left to us his obsessive presumption that the universe of sets should be subjected to laws similar to those governing the set of natural numbers, including the universal principles of cardinal comparability (...)
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  3. On The Rabbinical Exegesis of an Enhanced Biblical Value of Pi.Edward G. Belaga - 1991 - In Hardi Grant, Israel Kleiner & Abe Shenitzer (eds.), Proc. of the 17th Congress of the Canadian Society of History and Philosophy of Mathematics. Kingston.
    We present here a biblical exegesis of the value of Pi, PI_{Hebrew} = 3.141509 ..., from the well known verse 1 Kings 7:23. This verse is then compared to 2 Chronicles 4:2; the comparison provides independent supporting evidence for the exegesis.
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  4. Reflecting on the 3x+1 Mystery. Outline of a Scenario - Improbable or Realistic ?Edward G. Belaga - manuscript
    Guessing the outcome of iterations of even most simple arithmetical functions could be an extremely hazardous experience. Not less harder, if at all possible, might be to prove the veracity of even a "sure" guess concerning iterations : this is the case of the famous 3x+1 conjecture. Our purpose here is to study and conceptualize some intuitive insights related to the ultimate (un)solvability of this conjecture.
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  5. From Traditional Set Theory – that of Cantor, Hilbert , Gödel, Cohen – to Its Necessary Quantum Extension.Edward G. Belaga - manuscript
    The original purpose of the present study, 2011, started with a preprint «On the Probable Failure of the Uncountable Power Set Axiom», 1988, is to save from the transfinite deadlock of higher set theory the jewel of mathematical Continuum — this genuine, even if mostly forgotten today raison d’être of all traditional set-theoretical enterprises to Infinity and beyond, from Georg Cantor to David Hilbert to Kurt Gödel to W. Hugh Woodin to Buzz Lightyear.
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  6. In the beginning was the verb: The emergence and evolution of language problem in the light of the big Bang epistemological paradigm.Edward G. Belaga - 2008 - Cognitive Philology 1 (1).
    The enigma of the Emergence of Natural Languages, coupled or not with the closely related problem of their Evolution is perceived today as one of the most important scientific problems. The purpose of the present study is actually to outline such a solution to our problem which is epistemologically consonant with the Big Bang solution of the problem of the Emergence of the Universe}. Such an outline, however, becomes articulable, understandable, and workable only in a drastically extended epistemic and scientific (...)
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  7. Biblical Hebrew – Fossil of an Extinct Proto-Language.Edward G. Belaga - manuscript
    Scientific enterprise is a part and parcel of the contemporaneous to it general human cultural and, even more general, existential endeavor. Thus, the fundamental for us notion of evolution, in the modern sense of this characteristically Occidental term, appeared in the 19-th century, with its everything pervading, irreversible cultural and technological change and the existential turmoil. Similarly, a formerly relatively recherché word emergence, became a widely used scientific term only in the 20-th century, with its cultural, economical, political, and national (...)
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  8. Mathematical Infinity, Its Inventors, Discoverers, Detractors, Defenders, Masters, Victims, Users, and Spectators.Edward G. Belaga - manuscript
    "The definitive clarification of the nature of the infinite has become necessary, not merely for the special interests of the individual sciences, but rather for the honour of the human understanding itself. The infinite has always stirred the emotions of mankind more deeply than any other question; the infinite has stimulated and fertilized reason as few other ideas have ; but also the infinite, more than other notion, is in need of clarification." (David Hilbert 1925).
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  9. Walking Cautiously Into the Collatz Wilderness: Algorithmically, Number Theoretically, Randomly.Edward G. Belaga & Maurice Mignotte - 2006 - Discrete Mathematics and Theoretical Computer Science.
    Building on theoretical insights and rich experimental data of our preprints, we present here new theoretical and experimental results in three interrelated approaches to the Collatz problem and its generalizations: algorithmic decidability, random behavior, and Diophantine representation of related discrete dynamical systems, and their cyclic and divergent properties.
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  10. Discerning the Historical Source of Human Language.Edward G. Belaga - 2009 - Faith Magazine 41 (5):10-12.
    The problem of the emergence and evolution of natural languages is seen today by many specialists as one of the most difficult problems in the cognitive sciences. We believe that a key to unravelling this enigma is the close relationship of language to mathematics.
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  11. Fine -Tuning the Blueprint of the Verbal Structure of Biblical Hebrew.Edward G. Belaga - 2008 - In Gerda Hassler (ed.), Proceedings of The 11th International Conference on the History of the Language Sciences, ICHoLS XI will take place at the University of Potsdam, from 28 August to 2 September 2008. Leipzig.
    Biblical Hebrew, BH, could be seen as primarily a verbal language [1], with an average verse of the Hebrew Bible containing no less than three verbs and with the biggest part of its vocabulary representing morphological derivations from verbal roots, almost entirely triliteral, or triconsonantal, – the feature BH shares with all Semitic and a few other Afro- Asiatic languages. The unique peculiarity of this triconsonantal morphological pervasiveness did not completely escape the attention of previous generations of Western linguists, as (...)
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  12. Emergence and Evolution of Natural Languages: New Mathematical and Algorithmic Perspectives.Edward G. Belaga - 2008 - In Proceedings of Language, Communication and Cognition International Conference, Brighton, August 4th-7th 2008.
    In the search of new approaches to the problem of emergence and evolution of natural languages, Mathematics, Theoretical Computer Science, as well as Molecular Biology and Neuroscience, both deeply penetrated and profoundly inspired by concepts originated in Mathematics and Computer Science, represent today the richest pools of formal concepts, structures, and methods to borrow and to adapt.
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  13. Emergence and Evolution of Natural Languages: New Mathematical & Algorithmic Perspectives.Edward G. Belaga - manuscript
    In the search of new approaches to the problem of emergence and evolution of natural languages, Mathematics, Theoretical Computer Science, as well as Molecular Biology and Neuroscience, both deeply penetrated and profoundly inspired by concepts originated in Mathematics and Computer Science, represent today the richest pools of formal concepts, structures, and methods to borrow and to adapt.
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  14. Exploring the Potentials of Community Theatre as a Tool for Social Change: the Participatory Communication Method.U. Adie Edward, Lilian A. Okoro & Eugenia G. Orim - 2014 - Journal Of Integrative Humanism 4 (1).
    It is observed that most development modalities employed over the years for achieving community development in Africa have not leaved up to expectation in terms of involving the majority of people in the quest for national transformation and development; rather, these modalities tend to complicate the very problems they are set out to solve. The situation is mostly like this because the adopted development strategies have not taken adequate cognizance the essence of effective communication methods and the importance of people’s (...)
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  15. Two Theories of Transparency.Edward W. Averill & Joseph Gottlieb - 2021 - Erkenntnis 86 (3):553-573.
    Perceptual experience is often said to be transparent; that is, when we have a perceptual experience we seem to be aware of properties of the objects around us, and never seem to be aware of properties of the experience itself. This is a introspective fact. It is also often said that we can infer a metaphysical fact from this introspective fact, e.g. a fact about the nature of perceptual experience. A transparency theory fills in the details for these two facts, (...)
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  16. A Conjecture About Phenomenality.Edward A. Francisco - manuscript
    This is a conjecture about the conditions and operating structures that are required for the phenomenality of certain mental states. Specifically, full-blown phenomenality is assumed, as contrasted with constrained examples of phenomenal experience such as sensations of color and pain. Propositional attitudes and content, while not phenomenal per se, are standardly concurrent and may condition phenomenal states (e.g., when tied to false beliefs). It is conjectured that full phenomenality natively arises in coherent processes of situated sensory synthesis and representation (with (...)
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  17.  95
    A Moorean solution to Laura Valentini’s ideal theory paradox?Terence Rajivan Edward - manuscript
    This paper presents an attempt to solve Laura Valentini’s ideal theory paradox, in a way which makes me think of G.E. Moore but I shall leave the classification of the solution to the experts. I also discuss the claim that philosophy is so easy.
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  18. Wants and Acts: Logical, Causal and Material Connections.Edward Allen Francisco - 1974 - Dissertation, Purdue University
    This inquiry is addressed to two questions: (1) what if any logical relations might exist between the concepts of desire and action (as they and the distinctions to which they commit us are ensconced in ordinary parlance), and (2) what if any causal or significant non-causal (i.e., material) relations might ever exist between instances of desire and action? -/- It is held that any credible move to deal with such questions must initially, and at some length, specify the employment conditions (...)
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  19. ‘Ramseyfying’ Probabilistic Comparativism.Edward Elliott - 2020 - Philosophy of Science 87 (4):727-754.
    Comparativism is the view that comparative confidences (e.g., being more confident that P than that Q) are more fundamental than degrees of belief (e.g., believing that P with some strength x). In this paper, I outline the basis for a new, non-probabilistic version of comparativism inspired by a suggestion made by Frank Ramsey in `Probability and Partial Belief'. I show how, and to what extent, `Ramseyan comparativism' might be used to weaken the (unrealistically strong) probabilistic coherence conditions that comparativism traditionally (...)
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  20. The non-existence of “inference claims”.Gilbert Edward Plumer - 2019 - In Bart Garssen, David Godden, Gordon R. Mitchell & Jean H. M. Wagemans (eds.), Proceedings of the Ninth Conference of the International Society for the Study of Argumentation (ISSA). [Amsterdam, July 3-6, 2018.]. Amsterdam, The Netherlands: Sic Sat. pp. 913-918.
    Some believe that all arguments make an implicit “inference claim” that the conclusion is inferable from the premises (e.g., Bermejo-Luque, Grennan, the Groarkes, Hitchcock, Scriven). I try to show that this is confused. An act of arguing arises because an inference can be attributed to us, not a meta-level “inference claim” that would make the argument self-referential and regressive. I develop six (other) possible explanations of the popularity of the doctrine that similarly identify confusions.
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  21. Do pleasures and pains differ qualitatively?Rem B. Edwards - 1975 - Journal of Value Inquiry 9 (4):270-81.
    Traditional hedonists like Epicurus, Bentham and Sidgwick were quantitative hedonists who assumed that pleasures and pains differ, not just from each other, but also from other pleasures and pains only in such quantitatively measurable ways as intensity, duration, and nearness or remoteness in time. They also differ with respect to their sources or causes. John Stuart Mill introduced an interesting and important complication into the modern theory of hedonism by insisting that pleasures also differ qualitatively as well as quantitatively. This (...)
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  22. Hillo! Frazer and a last resort attempt to catch something in one’s net.Terence Rajivan Edward - manuscript
    J.G. Frazer tells us about a last resort technique which Cambodian hunters use when they have caught nothing in their nets. The “technique” is they act as if they themselves have got caught in the net. Frazer explains this as the consequence of magical thinking, but I propose a different explanation.
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  23. Father McKenzie level? Adam Smith on the effects of specialization on character: a solution.Terence Rajivan Edward - manuscript
    I propose a solution to a problem raised by E.G. West’s paper “Adam Smith’s Two Views on the Division of Labour.” Smith seems committed to the views that the division of labour makes people more and less intelligent.
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  24. The marriages of Rosamonds.Terence Rajivan Edward - manuscript
    I compare Rosamond’s relationship with her husband in Middlemarch with Rosamond’s marital relationship in L.A.G. Strong’s short story “The Seal.” I interpret the latter fiction as addressing the unpleasant question: what sort of decent man can suppress Rosamond?
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  25. On the requirement to break a bough in Frazer’s The Golden Bough.Terence Rajivan Edward - manuscript
    This is a one page handout, presenting a puzzle from J.G. Frazer regarding why, to become the priest of Diana at Nemi, one had to first break a bough in the sacred grove.
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  26. On a troublingly holistic liberalism, compared to the Rawlsian kind.Terence Rajivan Edward - manuscript
    This paper presents a more holistic variety of liberalism than the Rawlsian kind, which involves judging that various things are not properly liberal, things which the Rawlsian would seek to avoid conflict with, e.g. “This is not liberal poetry,” “This is not liberal computer programming.” Such judgments seem to be based on an emotional, or aesthetic, sense of coherence.
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  27. Comments on “Moral Complicity in Induced Pluripotent Stem Cell Research”.Byrnes W. Malcolm & J. Furton Edward - 2009 - Kennedy Institute of Ethics Journal 19 (2):202-205.
    In lieu of an abstract, here is a brief excerpt of the content:Comments on “Moral Complicity in Induced Pluripotent Stem Cell Research”W. Malcolm Byrnes, Ph.D. and Edward J. FurtonIn his article titled “Moral Complicity in Induced Pluripotent Stem Cell Research,” Mark T. Brown (2009) unfortunately mischaracterizes my ethical analysis of the use of induced pluripotent stem (iPS) cells for replacement therapies, or treatments (Byrnes 2008). In my paper, which Brown cites, I argue that, just as it is ethically acceptable (...)
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  28. The Knowledge of Good: Critique of Axiological Reason.Robert S. Hartman, Arthur R. Ellis & Rem B. Edwards (eds.) - 2002 - BRILL.
    This book presents Robert S. Hartman’s formal theory of value and critically examines many other twentieth century value theorists in its light, including A.J. Ayer, Kurt Baier, Brand Blanshard, Paul Edwards, Albert Einstein, William K. Frankena, R.M. Hare, Nicolai Hartmann, Martin Heidegger, G.E. Moore, P.H. Nowell-Smith, Jose Ortega y Gasset, Charles Stevenson, Paul W. Taylor, Stephen E. Toulmin, and J.O. Urmson.
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  29. Formal Axiology and Its Critics.Rem Blanchard Edwards (ed.) - 1995 - Amsterdam - Atlanta: Rodopi.
    This book is a collection of articles dealing with criticisms of Robert S. Hartman’s theory of formal axiology. During his lifetime, Hartman wrote responses to many of his critics. Some of these were previously published but many are published here for the first time. In particular, published here are Hartman’s replies to such critics as Hector Neri Castañeda, Charles Hartshorne, Rem B. Edwards, Robert E. Carter, G. R. Grice, Nicholas Rescher, Robert W. Mueller, Gordon Welty, Pete Gunter, George Kimball Plochmann, (...)
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  30. The Pareto Argument for Inequality Revisited.A. R. J. Fisher & Edward F. McClennen - manuscript
    One of the more obscure arguments for Rawls’ difference principle dubbed ‘the Pareto argument for inequality’ has been criticised by G. A. Cohen (1995, 2008) as being inconsistent. In this paper, we examine and clarify the Pareto argument in detail and argue (1) that justification for the Pareto principles derives from rational selfinterest and thus the Pareto principles ought to be understood as conditions of individual rationality, (2) that the Pareto argument is not inconsistent, contra Cohen, and (3) that the (...)
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  31. Moore’s Notes on Wittgenstein’s Lectures, Cambridge 1930-1933: Text, Context, and Content.David G. Stern, Gabriel Citron & Brian Rogers - 2013 - Nordic Wittgenstein Review (1):161-179.
    Wittgenstein’s writings and lectures during the first half of the 1930s play a crucial role in any interpretation of the relationship between the Tractatus and the Philosophical Investigations . G. E. Moore’s notes of Wittgenstein’s Cambridge lectures, 1930-1933, offer us a remarkably careful and conscientious record of what Wittgenstein said at the time, and are much more detailed and reliable than previously published notes from those lectures. The co-authors are currently editing these notes of Wittgenstein’s lectures for a book to (...)
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  32. The Jinn and the Shayatin.Edward Moad - 2017 - In Benjamin McCraw & Robert Arp (eds.), Philosophical Approaches to Demonology. New York, NY, USA: pp. 137-155.
    If by “demon” one understands an evil occult being, then its equivalent in the Islamic narrative is the intersection of the category jinn with that of the shayātīn: a demon is a shaytān from among the jinn. The literature in the Islamic tradition on these subjects is vast. In what follows, we will select some key elements from it to provide a brief summary: first on the nature of the jinn, their nature, and their relationship to God and human beings; (...)
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  33. Review of Ludwig Wittgenstein by Edward Kanterian (2007)(review revised 2019).Michael Starks - 2019 - In The Logical Structure of Human Behavior. Las Vegas, NV USA: Reality Press. pp. 302-308.
    Overall, it is first rate with accurate, sensitive and penetrating accounts of his life and thought in roughly chronological order, but, inevitably (i.e., like everyone else) it fails, in my view, to place his work in proper context and gets some critical points wrong. It is not made clear that philosophy is armchair psychology and that W was a pioneer in what later became cognitive or evolutionary psychology. One would not surmise from this book that he laid out the foundations (...)
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  34. Theories of government: possible, feasible, possibility-sensitive, feasibility-sensitive.Terence Rajivan Edward - manuscript
    In this paper I make some distinctions, which I hope are of help for Laura Valentini and others. Are the recommendations of a theory of what the government should do possible and are they feasible? Is the project of the theorist possibility-sensitive and is the project feasibility-sensitive?
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  35. Trust, Mistrust, and Autonomy.Edward Hinchman & Andrea Westlund - 2023 - In Mark Alfano & David Collins (eds.), The Moral Psychology of Trust. Lexington Books. pp. 105-121.
    Is autonomy – governing yourself – compatible with letting yourself be governed by trust? This paper argues that autonomy is not only compatible with appropriate trust but actually requires it. Autonomy requires appropriate trust because it is undermined by inappropriate mistrust. An autonomous agent treats herself as answerable for her action-guiding commitments, where answerability requires openness to the rational influence of external, critical perspectives on those commitments. This openness to correction makes one vulnerable to manipulation and can be exploited in (...)
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  36. Newton's Metaphysics of Space: A “Tertium Quid” Betwixt Substantivalism and Relationism, or merely a “God of the (Rational Mechanical) Gaps”?Edward Slowik - 2009 - Perspectives on Science 17 (4):pp. 429-456.
    This paper investigates the question of, and the degree to which, Newton’s theory of space constitutes a third-way between the traditional substantivalist and relationist ontologies, i.e., that Newton judged that space is neither a type of substance/entity nor purely a relation among such substances. A non-substantivalist reading of Newton has been famously defended by Howard Stein, among others; but, as will be demonstrated, these claims are problematic on various grounds, especially as regards Newton’s alleged rejection of the traditional substance/accident dichotomy (...)
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  37. God and Process.Rem B. Edwards - 1992 - In Logic, God and Metaphysics. Dordrecht, The Netherlands: pp. 41-57.
    This article argues against Bowman Clarke's attempt to eliminate futurity from the God of Process.
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  38. An alternative history: what if Derrida had just been accepted into analytic philosophy?Terence Rajivan Edward - manuscript
    What if, instead of a scandal, Jacques Derrida had been accepted by the community of analytic philosophers? My prediction is that little-known philosophers would make points like some which I have made: counterexamples to his claims. There is a different reaction to the question which I consider though, according to which these skills do not just transfer from topic to topic and would not be “activated” by Derrida’s philosophy.
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  39. Consistency worries for Shashi Tharoor concerning “It reads like a translation”.Terence Rajivan Edward - manuscript
    I raise a worry that Shashi Tharoor’s criticism that “much of Narayan’s prose reads like a translation” is inconsistent with his criticism “the ABC of bad writing – archaisms, banalities and cliches – abounded” because these things tend to be worded in a way that exploits local linguistic features, such as alliteration, making translation difficult. I also flag another inconsistency worry, but earlier in this paper.
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  40. Fodor’s style, Helen Beebee’s essay writing guide, but no causal overdetermination.Terence Rajivan Edward - manuscript
    I consider the opening to a paper by Jerry Fodor referring to graffiti in the subway stations and what Helen Beebee once said about it in her essay writing guide. I used to just pass over that stuff, but now I find it may be more important.
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  41. Existentialism and Monty Python: Kafka, Camus, Nietzsche, and Sartre.Edward Slowik - 2006 - In George Reisch & G. Hardcastle (eds.), Monty Python and Philosophy. Chicago, IL: Open Court: pp. 173-186.
    This essay utilizes the work of the comedy group, Monty Python, as a means of introducing basic concepts in Existentialism, especially as it pertains to the writings of Nietzsche, Sartre, and Camus.
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  42.  93
    Why Bacup? An explanation buried in the text?Terence Rajivan Edward - manuscript
    This paper presents an explanation for why Jeanette Edwards did anthropology fieldwork at home. The explanation latches on to her claim “Scrutiny of Western social life, albeit one version of it, has the ability to shed light on the anthropological enterprise itself…” It is presented within a mildly comical dialogue with a character called N, who has featured in my writings before. And the comedy is just to prevent an excess of coldness.
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  43. Reflective equilibrium and ruthless surgery.Terence Rajivan Edward - manuscript
    T.H. Irwin characterizes the reflective equilibrium procedure as one which should not involve ruthless surgery, in a metaphorical sense. I argue that many people will find avoiding this difficult, because they do not conceive or go in for subtle options.
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  44.  91
    Why Bacup? An Oxford-style response.Terence Rajivan Edward - manuscript
    This paper presents what I at least regard as a University of Oxford style response to a question often posed to social anthropologist Jeanette Edwards, “Why Bacup?” The question can be a brief way of communicating various puzzles which an inquirer is seeking to solve and I presume “an Oxford person” is going to ask for a clarification of the question, perhaps offering some options.
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  45. On a quick argument downplaying British anthropology’s colonialist role.Terence Rajivan Edward - manuscript
    I introduce and examine an argument presented by American anthropologist Herbert S. Lewis against thinking that British anthropology played a significant role in supporting colonialist projects: the British empire was large and centuries old, so it seems very unlikely that two dozen anthropologists late on made much difference.
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  46. On the relationship between philosophy and creative writing?Terence Rajivan Edward - manuscript
    I respond further to an undergraduate philosophy essay writing guide which tells readers that they are studying philosophy not creative writing. I note an obvious disadvantage of the claim.
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  47. Societies differ in how they handle the same facts: an axiom of social anthropology?Terence Rajivan Edward - manuscript
    This paper challenges Marilyn Strathern’s claim that it is, or was, an axiom of social anthropology that societies differ in how they handle the same facts. I present a set of foundational commitments for conducting social anthropology which leave the truth of the proposition as an empirical question of the discipline.
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  48. More on the value of disciplines to the social sciences, and also the standpoint relativity of pretty wrapping.Terence Rajivan Edward - manuscript
    This paper gives further feedback in response to the evening of presentations about the value of different disciplines to the social sciences, at the University of Manchester. I respond to Peter Lawler’s presentation for the politics department, or discipline area. The appendix responds to a remark which I found online about Laura Valentini, related to the main content.
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  49. A dialogue concerning Tompkins’ paradox.Terence Rajivan Edward - manuscript
    This paper presents a dialogue between Tompkins and a character whom I refer to as N. Tompkins asks, “How do we get into the big leagues?” N’s response is to emphasize quantity. This suggests a solution to the paradox.
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  50. A dilemma for Laura Valentini’s ideal theory paradox.Terence Rajivan Edward - manuscript
    The dilemma I present for Laura Valentini’s paradox of ideal theory concerns a theory which includes idealizations but also an account of how you apply the theory to less ideal reality. If this does not count as an ideal theory, then theories of justice need not be ideal. If it does, then ideal theories can be action guiding.
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