Results for 'John T. Strong'

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  1. Constituting the Community: Studies on the Polity of Ancient Israel in Honor of S. Dean McBride, Jr.John T. Strong & Steven S. Tuell - 2005
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  2.  31
    Stable generic structures.John T. Baldwin & Niandong Shi - 1996 - Annals of Pure and Applied Logic 79 (1):1-35.
    Hrushovski originated the study of “flat” stable structures in constructing a new strongly minimal set and a stable 0-categorical pseudoplane. We exhibit a set of axioms which for collections of finite structure with dimension function δ give rise to stable generic models. In addition to the Hrushovski examples, this formalization includes Baldwin's almost strongly minimal non-Desarguesian projective plane and several others. We develop the new case where finite sets may have infinite closures with respect to the dimension function δ. In (...)
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  3.  27
    As an abstract elementary class.John T. Baldwin, Paul C. Eklof & Jan Trlifaj - 2007 - Annals of Pure and Applied Logic 149 (1-3):25-39.
    In this paper we study abstract elementary classes of modules. We give several characterizations of when the class of modules A with is abstract elementary class with respect to the notion that M1 is a strong submodel M2 if the quotient remains in the given class.
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  4.  27
    The amalgamation spectrum.John T. Baldwin, Alexei Kolesnikov & Saharon Shelah - 2009 - Journal of Symbolic Logic 74 (3):914-928.
    We study when classes can have the disjoint amalgamation property for a proper initial segment of cardinals. Theorem A For every natural number k, there is a class $K_k $ defined by a sentence in $L_{\omega 1.\omega } $ that has no models of cardinality greater than $ \supset _{k - 1} $ , but $K_k $ has the disjoint amalgamation property on models of cardinality less than or equal to $\mathfrak{N}_{k - 3} $ and has models of cardinality $\mathfrak{N}_{k (...)
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  5. Almost strongly minimal theories. I.John T. Baldwin - 1972 - Journal of Symbolic Logic 37 (3):487-493.
  6.  96
    Constructing ω-stable structures: Rank 2 fields.John T. Baldwin & Kitty Holland - 2000 - Journal of Symbolic Logic 65 (1):371-391.
    We provide a general framework for studying the expansion of strongly minimal sets by adding additional relations in the style of Hrushovski. We introduce a notion of separation of quantifiers which is a condition on the class of expansions of finitely generated models for the expanded theory to have a countable ω-saturated model. We apply these results to construct for each sufficiently fast growing finite-to-one function μ from 'primitive extensions' to the natural numbers a theory T μ of an expansion (...)
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  7.  43
    Constructing ω-stable structures: model completeness.John T. Baldwin & Kitty Holland - 2004 - Annals of Pure and Applied Logic 125 (1-3):159-172.
    The projective plane of Baldwin 695) is model complete in a language with additional constant symbols. The infinite rank bicolored field of Poizat 1339) is not model complete. The finite rank bicolored fields of Baldwin and Holland 371; Notre Dame J. Formal Logic , to appear) are model complete. More generally, the finite rank expansions of a strongly minimal set obtained by adding a ‘random’ unary predicate are almost strongly minimal and model complete provided the strongly minimal set is ‘well-behaved’ (...)
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  8. Almost strongly minimal theories. II.John T. Baldwin - 1972 - Journal of Symbolic Logic 37 (4):657-660.
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  9.  37
    A model theoretic approach to malcev conditions.John T. Baldwin & Joel Berman - 1977 - Journal of Symbolic Logic 42 (2):277-288.
    A varietyV satisfies a strong Malcev condition ∃f1,…, ∃fnθ where θ is a conjunction of equations in the function variablesf1, …,fnand the individual variablesx1, …,xm, if there are polynomial symbolsp1, …,pnin the language ofVsuch that ∀x1, …,xmθ is a law ofV. Thus a strong Malcev condition involves restricted second order quantification of a strange sort. The quantification is restricted to functions which are “polynomially definable”. This notion was introduced by Malcev [6] who used it to describe those varieties (...)
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  10.  11
    Towards a finer classification of strongly minimal sets.John T. Baldwin & Viktor V. Verbovskiy - 2024 - Annals of Pure and Applied Logic 175 (2):103376.
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  11.  18
    The Strong Completeness of a System for Kleene's Three‐Valued Logic.John T. Kearns - 1979 - Mathematical Logic Quarterly 25 (3‐6):61-68.
  12.  50
    The Strong Completeness of a System for Kleene's Three‐Valued Logic.John T. Kearns - 1979 - Mathematical Logic Quarterly 25 (3-6):61-68.
  13.  19
    The Book of Ezekiel: Theological and Anthropological Perspectives.Tawny L. Holm, Margaret S. Odell & John T. Strong - 2003 - Journal of the American Oriental Society 123 (4):884.
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  14. Benjamin Franklin and the League of the Haudenosaunee.John T. Sanders - 2006 - In St Petersburg Center for the History of Ideas (ed.), The Philosophical Age, Almanac 32: Benjamin Franklin and Russia, to the Tercentenary of His Birth. St. Petersburg Center for the History of Ideas.
    Benjamin Franklin's social and political thought was shaped by contacts with and knowledge of ancient aboriginal traditions. Indeed, a strong case can be made that key features of the social structure eventually outlined in the United States Constitution arose not from European sources, and not full-grown from the foreheads of European-American "founding fathers", but from aboriginal sources, communicated to the authors of the Constitution to a significant extent through Franklin. A brief sketch of the main argument to this effect (...)
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  15. Concrete Images for Abstract Questions: A Philosophical View.John T. Sanders - manuscript
    While I strongly agree with Patrick Grim that abstract relationships are real, and that it is possible to get them right, the danger that we will get them wrong is just as real. The use of visual representation of abstract phenomena, precisely because of our predilection to see patterns in everything and because we don't have to think so hard about visible representations generally, may lead us to see things that aren't there.
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  16.  32
    Walter Chatton and Adam Wodeham on Divine Simplicity and Trinitarian Relations.John T. Slotemaker - 2015 - Quaestio 15:689-697.
    The present paper examines the trinitarian theology of Adam Wodeham and Walter Chatton through an examination of the filioque, i.e., the procession of the Holy Spirit from the Father and Son. The paper argues that the strong emphasis on divine simplicity that emerged in the early fourteenth century had a subtle influence on how Wodeham and Chatton understood the intra-trinitarian distinctions between the Father, Son and Holy Spirit.
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  17.  22
    Constructing ω-stable Structures: Rank k-fields.John T. Baldwin & Kitty Holland - 2003 - Notre Dame Journal of Formal Logic 44 (3):139-147.
    Theorem: For every k, there is an expansion of the theory of algebraically closed fields (of any fixed characteristic) which is almost strongly minimal with Morley rank k.
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  18.  41
    Local Homogeneity.Bektur Baizhanov & John T. Baldwin - 2004 - Journal of Symbolic Logic 69 (4):1243 - 1260.
    We study the expansion of stable structures by adding predicates for arbitrary subsets. Generalizing work of Poizat-Bouscaren on the one hand and Baldwin-Benedikt-Casanovas-Ziegler on the other we provide a sufficient condition (Theorem 4.7) for such an expansion to be stable. This generalization weakens the original definitions in two ways: dealing with arbitrary subsets rather than just submodels and removing the 'small' or 'belles paires' hypothesis. We use this generalization to characterize in terms of pairs, the 'triviality' of the geometry on (...)
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  19.  15
    Rediscovering Tomkins polarity theory: Humanism, normativism, and the psychological basis of left-right ideological conflict in the US and Sweden.Artur Nilsson & John T. Jost - 2011 - PLoS ONE 15 (7).
    According to Silvan Tomkins polarity theory, ideological thought is universally structured by a clash between two opposing worldviews. On the left, a humanistic worldview seeks to uphold the intrinsic value of the person; on the right, a normative worldview holds that human worth is contingent upon conformity to rules. In this article, we situate humanism and normativism within the context of contemporary models of political ideology as a function of motivated social cognition, beliefs about the social world, and personality traits. (...)
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  20.  39
    The Influence of Subjective Norms on Whistle-Blowing: A Cross-Cultural Investigation. [REVIEW]Pailin Trongmateerut & John T. Sweeney - 2013 - Journal of Business Ethics 112 (3):437-451.
    This research consists of two studies with interrelated objectives. The purpose of the first study is to develop and validate scales measuring whistle-blowing subjective norms, attitudes, and intentions. The objective of the second study is to test a model of whistle-blowing intentions, motivated by the theory of reasoned action, across two contrasting cultures: the collectivist Thai and the individualistic American. To achieve cross-cultural comparisons, we first perform measurement and structural invariance tests. Tests of latent mean differences lend support for our (...)
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  21.  23
    Nagarjuna: The Philosophy of the Middle Way.Frank E. Reynolds, John Holt, John Strong, Heinz Bechert, Richard Gombrich, Garma C. C. Chang, Yang Hsuanchih, Yi-T'ung Wang & David J. Kalupahana - 1986 - Buddhist-Christian Studies 6:163.
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  22.  54
    A reexamination of the internal auditors' code of ethics.Philip H. Siegel, John O'Shaughnessy & John T. Rigsby - 1995 - Journal of Business Ethics 14 (11):949 - 957.
    This study empirically examined the views of Certified Internal Auditors (CIAs) concerning the role of Code of Ethics for members of the Institute of Internal Auditors. It is a continuation of an earlier study which examined the usefulness of the Code to CIAs. Among the questions asked were what is the primary reason for the Code of Ethics, how useful is it, have you used it, should more enforcement actions be taken against members who violate the Code, and what are (...)
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  23.  18
    Past, Present, and Future Research on Teacher Induction: An Anthology for Researchers, Policy Makers, and Practitioners.Betty Achinstein, Krista Adams, Steven Z. Athanases, EunJin Bang, Martha Bleeker, Cynthia L. Carver, Yu-Ming Cheng, Renée T. Clift, Nancy Clouse, Kristen A. Corbell, Sarah Dolfin, Sharon Feiman-Nemser, Maida Finch, Jonah Firestone, Steven Glazerman, MariaAssunção Flores, Susan Hanson, Lara Hebert, Richard Holdgreve-Resendez, Erin T. Horne, Leslie Huling, Eric Isenberg, Amy Johnson, Richard Lange, Julie A. Luft, Pearl Mack, Julia Moore, Jennifer Neakrase, Lynn W. Paine, Edward G. Pultorak, Hong Qian, Alan J. Reiman, Virginia Resta, John R. Schwille, Sharon A. Schwille, Thomas M. Smith, Randi Stanulis, Michael Strong, Dina Walker-DeVose, Ann L. Wood & Peter Youngs - 2010 - R&L Education.
    This book's importance is derived from three sources: careful conceptualization of teacher induction from historical, methodological, and international perspectives; systematic reviews of research literature relevant to various aspects of teacher induction including its social, cultural, and political contexts, program components and forms, and the range of its effects; substantial empirical studies on the important issues of teacher induction with different kinds of methodologies that exemplify future directions and approaches to the research in teacher induction.
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  24.  57
    Book reviews and notices. [REVIEW]Kate Brittlebank, Kathleen D. Morrison, Christopher Key Chapple, D. L. Johnson, Fritz Blackwell, Carl Olson, Chenchuramaiah T. Bathala, Gail Hinich Sutherland, Gail Hinich Sutherland, Ashley James Dawson, Nancy Auer Falk, Carl Olson, Dan Cozort, Karen Pechilis Prentiss, Tessa Bartholomeusz, Katharine Adeney, D. L. Johnson, Heidi Pauwels, Paul Waldau, Paul Waldau, C. Mackenzie Brown, David Kinsley, John E. Cort, Jonathan S. Walters, Christopher Key Chapple, Helene T. Russell, Jeffrey J. Kripal, Dermot Killingley, Dorothy M. Figueira & John S. Strong - 1998 - International Journal of Hindu Studies 2 (1):117-156.
  25. FDA Releases Draft Guidance on Regulation of Genetically Engineered Animals.John P. Gluck & Mark T. Holdsworth - 2008 - Kennedy Institute of Ethics Journal 18 (4):393-402.
    In lieu of an abstract, here is a brief excerpt of the content:FDA Releases Draft Guidance on Regulation of Genetically Engineered AnimalsJohn P. Gluck (bio) and Mark T. Holdsworth (bio)On 18 September 2008, the U.S. Food and Drug Administration (FDA) issued a draft set of guidelines for those involved in developing genetically engineered animals with heritable recombinant DNA (rDNA) constructs and is requesting comment from industry and the public about their content. The document does not impose new regulations but details (...)
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  26.  14
    The Confucian Filial Duty to Care (xiao 孝) for Elderly Parents.John N. Williams & T. Brian Mooney - 2008 - In Janis Ozolins (ed.), Culture and Christianity in Dialogue. Springer.
    A central feature of Confucianism is the doctrine that an adult child has, for want of a better word, the ‘duty’ to care for his elderly parents1. Whether this doctrine should be framed in terms of an ethic of duties as opposed to an ethic of virtues is a vexed question. It might be argued that the doctrine is best framed in terms of the behaviour and dispositions appropriate to an agent who is, within the Confucian moral vision, good. Nonetheless, (...)
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  27.  8
    Free Will's value: criminal justice, pride, and love.John Lemos - 2023 - New York, NY: Routledge.
    This book defends an event-causal theory of libertarian free will and argues that the belief in such free will plays an important, if not essential, role in supporting certain important values. In the first part of the book, the author argues that possession of libertarian free will is necessary for deserved praise and blame and reward and punishment. He contends that his version of libertarian free will-the indeterministic weightings view- is coherent and can fit with a scientific, naturalistic understanding of (...)
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  28. Why computers can't feel pain.John Mark Bishop - 2009 - Minds and Machines 19 (4):507-516.
    The most cursory examination of the history of artificial intelligence highlights numerous egregious claims of its researchers, especially in relation to a populist form of ‘strong’ computationalism which holds that any suitably programmed computer instantiates genuine conscious mental states purely in virtue of carrying out a specific series of computations. The argument presented herein is a simple development of that originally presented in Putnam’s (Representation & Reality, Bradford Books, Cambridge in 1988 ) monograph, “Representation & Reality”, which if correct, (...)
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  29.  47
    Why Computers Can’t Feel Pain.John Mark Bishop - 2009 - Minds and Machines 19 (4):507-516.
    The most cursory examination of the history of artificial intelligence highlights numerous egregious claims of its researchers, especially in relation to a populist form of ‘strong’ computationalism which holds that any suitably programmed computer instantiates genuine conscious mental states purely in virtue of carrying out a specific series of computations. The argument presented herein is a simple development of that originally presented in Putnam’s (Representation & Reality, Bradford Books, Cambridge in 1988) monograph, “Representation & Reality”, which if correct, has (...)
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  30.  99
    Supervenience, necessary coextensions, and reducibility.John Bacon - 1986 - Philosophical Studies 49 (March):163-76.
    Supervenience in most of its guises entails necessary coextension. Thus theoretical supervenience entails nomically necessary coextension. Kim's result, thus strengthened, has yet to hit home. I suspect that many supervenience enthusiasts would cool at necessary coextension: they didn't mean to be saying anything quite so strong. Furthermore, nomically necessary coextension can be a good reason for property identification, leading to reducibility in principle. This again is more than many supervenience theorists bargained for. They wanted supervenience without reducibility. It is (...)
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  31. Good, Fairness and QALYs.John Broome - 1988 - Royal Institute of Philosophy Lecture Series 23 (1):57-73.
    Counting QALYs (quality adjusted life years) has been proposed as a way of deciding how resources should be distributed in the health service: put resources where they will produce the most QALYs. This proposal has encountered strong opposition. There has been a disagreement between some economists favouring QALYs and some philosophers opposing them. But the argument has, I think, mostly been at cross-purposes. Those in favour of QALYs point out what they can do, and those against point out what (...)
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  32. Practical reasons, theoretical reasons, and permissive and prohibitive balancing.John Brunero - 2022 - Synthese 200 (2):1-23.
    Philosophers have often noted a contrast between practical and theoretical reasons when it comes to cases involving equally balanced reasons. When there are strong practical reasons for A-ing, and equally strong practical reasons for some incompatible option, B-ing, the agent is permitted to make an arbitrary choice between them, having sufficient reason to A and sufficient reason to B. But when there is strong evidence for P and equally strong evidence for ~ P, one isn’t permitted (...)
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  33. Projects and Property.John T. Sanders - 2002 - In David Schmidtz (ed.), Robert Nozick. New York: Cambridge University Press.
    I try in this essay to accomplish two things. First I offer some first thoughts toward a clarification of the ethical foundations of private property rights that avoids pitfalls common to more strictly Lockean theories, and is thus better prepared to address arguments posed by critics of standard private property arrangements. Second, I'll address one critical argument that has become pretty common over the years. While versions of the argument can be traced back at least to Pierre Joseph Proudhon, I'll (...)
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  34.  24
    Educational Theory: An Introduction.T. W. Moore - 1974 - London ; Boston : Routledge and K. Paul.
    This book comes strongly to the defence of educational theory and shows that it has a structure and integrity of its own. The author argues that the validity of educational theory may best be judged in terms of the various assumptions made in it. His argument is illustrated by a review and critique of some particularly influential theories of education: those of Plato, Rousseau, James Mill and John Dewey. He stresses the need for an on-going, contemporary, general theory of (...)
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  35.  33
    Love, Lust, and Sex: A Christian Perspective.John H. Berthrong - 2004 - Buddhist-Christian Studies 24 (1):3-22.
    In lieu of an abstract, here is a brief excerpt of the content:Buddhist-Christian Studies 24.1 (2004) 3-22 [Access article in PDF] Love, Lust, and Sex: A Christian Perspective John Berthrong Boston University School of Theology Prologue When I was assigned the topic of love and sex (and I decided to add lust/desire as the link between the two), I immediately consulted with a number of my colleagues at the Boston University School of Theology.1 The response of my colleagues was (...)
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  36. Ambivalence, Incoherence, and Self-Governance.John Brunero - 2021 - In Berit Brogaard & Dimitria Electra Gatzia (eds.), The Philosophy and Psychology of Ambivalence: Being of Two Minds. New York: Routledge.
    The paper develops two objections to Michael Bratman’s self-governance approach to the normativity of rational requirements. Bratman, drawing upon work by Harry Frankfurt, argues that having a place where one stands is a necessary, constitutive element of self-governance, and that violations of the consistency and coherence requirements on intentions make one lack a place where one stands. This allows for reasons of self-governance to ground reasons to comply with these rational requirements, thereby vindicating the normativity of rationality. The first objection (...)
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  37.  59
    Ockham on intuitive cognition.John F. Boler - 1973 - Journal of the History of Philosophy 11 (1):95.
    In lieu of an abstract, here is a brief excerpt of the content:NOTES AND DISCUSSIONS 95 OCKHAM ON INTUITIVE COGNITION t In the first part of what follows, I try to locate Ockham's theory of intuitive cognition in the context of one set of philosophical problems rather than another. The device I use is to emphasize the major error Ockham wants to avoid: "platonism" rather than scepticism. In the second part, I try to show how difficulties raised by some recent (...)
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  38.  18
    Model Theory and the Philosophy of Mathematical Practice: Formalization Without Foundationalism.John T. Baldwin - 2018 - Cambridge University Press.
    Major shifts in the field of model theory in the twentieth century have seen the development of new tools, methods, and motivations for mathematicians and philosophers. In this book, John T. Baldwin places the revolution in its historical context from the ancient Greeks to the last century, argues for local rather than global foundations for mathematics, and provides philosophical viewpoints on the importance of modern model theory for both understanding and undertaking mathematical practice. The volume also addresses the impact (...)
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  39.  35
    Strong Compactness and Stationary Sets.John Krueger - 2005 - Journal of Symbolic Logic 70 (3):767 - 777.
    We construct a model in which there is a strongly compact cardinal κ such that the set $S(\kappa,\kappa ^{+})=\{a\in P_{\kappa}\kappa ^{-}\colon o,t(a)=(a\cap \kappa)^{+}\})$ is non-stationary.
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  40.  14
    A forcing axiom for a non-special Aronszajn tree.John Krueger - 2020 - Annals of Pure and Applied Logic 171 (8):102820.
    Suppose that T^∗ is an ω_1-Aronszajn tree with no stationary antichain. We introduce a forcing axiom PFA(T^∗) for proper forcings which preserve these properties of T^∗. We prove that PFA(T^∗) implies many of the strong consequences of PFA, such as the failure of very weak club guessing, that all of the cardinal characteristics of the continuum are greater than ω_1, and the P-ideal dichotomy. On the other hand, PFA(T^∗) implies some of the consequences of diamond principles, such as the (...)
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  41. What I Do: Psychoanalysis (What I do) vs. Psychotherapy (What I don't do).John-Michael Kuczynski - 2018 - Madison, WI, USA: Freud Institute.
    A therapist turns very damaged people into moderately damaged people. I turn moderately strong people into very strong people. I am an analyst, not a therapist.
     
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  42.  16
    Sick Souls, Healthy Minds: How William James Can Save Your Life by John Kaag. [REVIEW]John Capps - 2020 - Transactions of the Charles S. Peirce Society 56 (1):110-113.
    It says something about the topic of John Kaag’s book that the subtitle “How William James Can Save Your Life” seems so easy to swallow. It’s hard to imagine a similar subtitle for Peirce or Dewey, or most any contemporary philosopher, and I wouldn’t hold my breath for “How C.S. Peirce Can Mend Your Finances” or “How John Dewey Can Improve Your Writing.” But for James the subtitle works. Maybe it’s because, for James, the connection between philosophy and (...)
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  43.  21
    Moral Impulse and Critical Citizenship.John Hymers - 2006 - Ethical Perspectives 13 (4):567-569.
    This issue of Ethical Perspectives is strongly illuminated by two themes: moral impulse and critical citizenship. Of course, these themes are related – without a critical faculty, the moral impulse is not possible, and impulse, conversely, can be seen as leading toward critique. This is no vicious circle, nor mere tautology – rather, they are both moments of the truly autonomous individual, where the autonomy of the individual is not seen as isolation, but rather as an individual responsibility to and (...)
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  44.  80
    Axiomatizing Changing Conceptions of the Geometric Continuum I: Euclid-Hilbert†.John T. Baldwin - 2018 - Philosophia Mathematica 26 (3):346-374.
    We give a general account of the goals of axiomatization, introducing a variant on Detlefsen’s notion of ‘complete descriptive axiomatization’. We describe how distinctions between the Greek and modern view of number, magnitude, and proportion impact the interpretation of Hilbert’s axiomatization of geometry. We argue, as did Hilbert, that Euclid’s propositions concerning polygons, area, and similar triangles are derivable from Hilbert’s first-order axioms. We argue that Hilbert’s axioms including continuity show much more than the geometrical propositions of Euclid’s theorems and (...)
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  45.  24
    The Dividing Line Methodology: Model Theory Motivating Set Theory.John T. Baldwin - 2021 - Theoria 87 (2):361-393.
    We explore Shelah's model‐theoretic dividing line methodology. In particular, we discuss how problems in model theory motivated new techniques in model theory, for example classifying theories by their potential (consistently with Zermelo–Fraenkel set theory with the axiom of choice (ZFC)) spectrum of cardinals in which there is a universal model. Two other examples are the study (with Malliaris) of the Keisler order leading to a new ZFC result on cardinal invariants and attempts to clarify the “main gap” by reducing the (...)
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  46.  7
    The Templeton plan: 21 steps to success and happiness.John Templeton & James Ellison - 2013 - West Conshohocken, Pa.: Templeton Press. Edited by James Whitfield Ellison.
    Sir John Templeton (1912–2008), the Wall Street legend who has been described as “arguably the greatest global stock picker of the twentieth century,” clearly knew what it took to be successful. The most important thing, he observed, was to have strong convictions that guided your life—this was the common denominator he saw in all successful people and enterprises. Fortunately for us, he was eager to share his own blueprint for personal success and happiness with the rest of the (...)
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  47.  76
    Disordered Actions: A Moral Analysis of Lying and Homosexual Activity.John Skalko - 2019 - Editiones Scholasticae.
    Just fifteen years ago, the common non-religious consensus was that homosexual acts were immoral. Within one decade, however, this consensus waned. The secular majority no longer held, as they previously did, that such actions are morally bad. What explains this sudden change? One explanation is that many conservatives lacked adequate philosophical tools to explain the foundations of the earlier historical consensus. Another is that modern research has shown that there never existed any solid philosophical grounds for calling such actions immoral (...)
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  48. Determinism.John T. Roberts - 2005 - In Sahotra Sarkar & Jessica Pfeifer (eds.), The Philosophy of Science: An Encyclopedia. New York: Routledge. pp. 1.
  49.  75
    The stability spectrum for classes of atomic models.John T. Baldwin & Saharon Shelah - 2012 - Journal of Mathematical Logic 12 (1):1250001-.
    We prove two results on the stability spectrum for Lω1,ω. Here [Formula: see text] denotes an appropriate notion of Stone space of m-types over M. Theorem for unstable case: Suppose that for some positive integer m and for every α μ, K is not i-stable in μ. These results provide a new kind of sufficient condition for the unstable case and shed some light on the spectrum of strictly stable theories in this context. The methods avoid the use of compactness (...)
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  50.  44
    Axiomatizing Changing Conceptions of the Geometric Continuum II: Archimedes-Descartes-Hilbert-Tarski†.John T. Baldwin - 2019 - Philosophia Mathematica 27 (1):33-60.
    In Part I of this paper we argued that the first-order systems HP5 and EG are modest complete descriptive axiomatization of most of Euclidean geometry. In this paper we discuss two further modest complete descriptive axiomatizations: Tarksi’s for Cartesian geometry and new systems for adding $$\pi$$. In contrast we find Hilbert’s full second-order system immodest for geometrical purposes but appropriate as a foundation for mathematical analysis.
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