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J. B. Paris [52]Jeffrey Paris [32]John J. Paris [31]Jeff Paris [16]
J. Paris [13]Joel Paris [7]Jean Paris [7]John Paris [3]

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See also:
Profile: Jeffrey Paris (University of Manchester)
Profile: Jerome Paris (New Jersey Institute of Technology)
  1. J. B. Paris (1972). $ZF \Vdash \Sum^0_4$ Determinateness. Journal of Symbolic Logic 37 (4):661 - 667.
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  2.  20
    J. B. Paris (1994). The Uncertain Reasoner's Companion: A Mathematical Perspective. Cambridge University Press.
    Reasoning under uncertainty, that is, making judgements with only partial knowledge, is a major theme in artificial intelligence. Professor Paris provides here an introduction to the mathematical foundations of the subject. It is suited for readers with some knowledge of undergraduate mathematics but is otherwise self-contained, collecting together the key results on the subject, and formalising within a unified framework the main contemporary approaches and assumptions. The author has concentrated on giving clear mathematical formulations, analyses, justifications and consequences of the (...)
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  3.  6
    A. J. Wilkie & J. B. Paris (1987). On the Scheme of Induction for Bounded Arithmetic Formulas. Annals of Pure and Applied Logic 35 (3):261-302.
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  4.  1
    Peter Aczel, Angus Macintyre, Leszek Pacholski & Jeff Paris (1984). The Type Theoretic Interpretation of Constructive Set Theory. Journal of Symbolic Logic 49 (1):313-314.
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  5.  28
    C. J. Nix & J. B. Paris (2007). A Note on Binary Inductive Logic. Journal of Philosophical Logic 36 (6):735 - 771.
    We consider the problem of induction over languages containing binary relations and outline a way of interpreting and constructing a class of probability functions on the sentences of such a language. Some principles of inductive reasoning satisfied by these probability functions are discussed, leading in turn to a representation theorem for a more general class of probability functions satisfying these principles.
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  6.  28
    J. B. Paris & R. Simmonds (2009). O is Not Enough. Review of Symbolic Logic 2 (2):298-309.
    We examine the closure conditions of the probabilistic consequence relation of Hawthorne and Makinson, specifically the outstanding question of completeness in terms of Horn rules, of their proposed (finite) set of rules O. We show that on the contrary no such finite set of Horn rules exists, though we are able to specify an infinite set which is complete.
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  7.  10
    Jürgen Landes, Jeff B. Paris & Alena Vencovská (2010). A Characterization of the Language Invariant Families Satisfying Spectrum Exchangeability in Polyadic Inductive Logic. Annals of Pure and Applied Logic 161 (6):800-811.
    A necessary and sufficient condition in terms of a de Finetti style representation is given for a probability function in Polyadic Inductive Logic to satisfy being part of a Language Invariant family satisfying Spectrum Exchangeability. This theorem is then considered in relation to the unary Carnap and Nix–Paris Continua.
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  8.  36
    M. J. Hill, J. B. Paris & G. M. Wilmers (2002). Some Observations on Induction in Predicate Probabilistic Reasoning. Journal of Philosophical Logic 31 (1):43-75.
    We consider the desirability, or otherwise, of various forms of induction in the light of certain principles and inductive methods within predicate uncertain reasoning. Our general conclusion is that there remain conflicts within the area whose resolution will require a deeper understanding of the fundamental relationship between individuals and properties.
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  9.  19
    C. J. Nix & J. B. Paris (2006). A Continuum of Inductive Methods Arising From a Generalized Principle of Instantial Relevance. Journal of Philosophical Logic 35 (1):83 - 115.
    In this paper we consider a natural generalization of the Principle of Instantial Relevance and give a complete characterization of the probabilistic belief functions satisfying this principle as a family of discrete probability functions parameterized by a single real δ ∊ [0, 1).
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  10.  16
    J. B. Paris & P. Waterhouse (2009). Atom Exchangeability and Instantial Relevance. Journal of Philosophical Logic 38 (3):313 - 332.
    We give an account of some relationships between the principles of Constant and Atom Exchangeability and various generalizations of the Principle of Instantial Relevance within the framework of Inductive Logic. In particular we demonstrate some surprising and somewhat counterintuitive dependencies of these relationships on ostensibly unimportant parameters, such as the number of predicates in the overlying language.
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  11.  14
    J. B. Paris, A. J. Wilkie & A. R. Woods (1988). Provability of the Pigeonhole Principle and the Existence of Infinitely Many Primes. Journal of Symbolic Logic 53 (4):1235-1244.
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  12.  37
    Petr Hájek, Jeff Paris & John Shepherdson (2000). The Liar Paradox and Fuzzy Logic. Journal of Symbolic Logic 65 (1):339-346.
    Can one extend crisp Peano arithmetic PA by a possibly many-valued predicate Tr(x) saying "x is true" and satisfying the "dequotation schema" $\varphi \equiv \text{Tr}(\bar{\varphi})$ for all sentences φ? This problem is investigated in the frame of Lukasiewicz infinitely valued logic.
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  13.  33
    James Phillips, Allen Frances, Michael A. Cerullo, John Chardavoyne, Hannah S. Decker, Michael B. First, Nassir Ghaemi, Gary Greenberg, Andrew C. Hinderliter, Warren A. Kinghorn, Steven G. LoBello, Elliott B. Martin, Aaron L. Mishara, Joel Paris, Joseph M. Pierre, Ronald W. Pies, Harold A. Pincus, Douglas Porter, Claire Pouncey, Michael A. Schwartz, Thomas Szasz, Jerome C. Wakefield, G. Waterman, Owen Whooley & Peter Zachar (2012). The Six Most Essential Questions in Psychiatric Diagnosis: A Pluralogue Part 2: Issues of Conservatism and Pragmatism in Psychiatric Diagnosis. [REVIEW] Philosophy, Ethics, and Humanities in Medicine 7 (1):8-.
    In face of the multiple controversies surrounding the DSM process in general and the development of DSM-5 in particular, we have organized a discussion around what we consider six essential questions in further work on the DSM. The six questions involve: 1) the nature of a mental disorder; 2) the definition of mental disorder; 3) the issue of whether, in the current state of psychiatric science, DSM-5 should assume a cautious, conservative posture or an assertive, transformative posture; 4) the role (...)
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  14.  22
    James Phillips, Allen Frances, Michael A. Cerullo, John Chardavoyne, Hannah S. Decker, Michael B. First, Nassir Ghaemi, Gary Greenberg, Andrew C. Hinderliter, Warren A. Kinghorn, Steven G. LoBello, Elliott B. Martin, Aaron L. Mishara, Joel Paris, Joseph M. Pierre, Ronald W. Pies, Harold A. Pincus, Douglas Porter, Claire Pouncey, Michael A. Schwartz, Thomas Szasz, Jerome C. Wakefield, G. Scott Waterman, Owen Whooley & Peter Zachar (2012). The Six Most Essential Questions in Psychiatric Diagnosis: A Pluralogue Part 1: Conceptual and Definitional Issues in Psychiatric Diagnosis. [REVIEW] Philosophy, Ethics, and Humanities in Medicine 7 (1):1-29.
    In face of the multiple controversies surrounding the DSM process in general and the development of DSM-5 in particular, we have organized a discussion around what we consider six essential questions in further work on the DSM. The six questions involve: 1) the nature of a mental disorder; 2) the definition of mental disorder; 3) the issue of whether, in the current state of psychiatric science, DSM-5 should assume a cautious, conservative posture or an assertive, transformative posture; 4) the role (...)
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  15.  3
    J. B. Paris & A. Vencovská (forthcoming). Combining Analogical Support in Pure Inductive Logic. Erkenntnis:1-19.
    We investigate the relative probabilistic support afforded by the combination of two analogies based on possibly different, structural similarity within the context of Pure Inductive Logic and under the assumption of Language Invariance. We show that whilst repeated analogies grounded on the same structural similarity only strengthen the probabilistic support this need not be the case when combining analogies based on different structural similarities. That is, two analogies may provide less support than each would individually.
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  16.  13
    Jeff Paris & Leo Harrington (1977). A Mathematical Incompleteness in Peano Arithmetic. In Jon Barwise & H. Jerome Keisler (eds.), Handbook of Mathematical Logic. North-Holland Pub. Co. 90--1133.
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  17.  8
    John J. Paris, Brian M. Cummings & M. Patrick Moore (2014). “Brain Death,” “Dead,” and Parental Denial. Cambridge Quarterly of Healthcare Ethics 23 (4):371-382.
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  18.  6
    K. Kunen & J. B. Paris (1971). Boolean Extensions and Measurable Cardinals. Annals of Mathematical Logic 2 (4):359-377.
  19.  59
    James Phillips, Allen Frances, Michael Cerullo, John Chardavoyne, Hannah Decker, Michael First, Nassir Ghaemi, Gary Greenberg, Andrew Hinderliter, Warren Kinghorn, Steven LoBello, Elliott Martin, Aaron Mishara, Joel Paris, Joseph Pierre, Ronald Pies, Harold Pincus, Douglas Porter, Claire Pouncey, Michael Schwartz, Thomas Szasz, Jerome Wakefield, G. Scott Waterman, Owen Whooley & Peter Zachar (2012). The Six Most Essential Questions in Psychiatric Diagnosis: A Pluralogue Part 2: Issues of Conservatism and Pragmatism in Psychiatric Diagnosis. [REVIEW] Philosophy, Ethics, and Humanities in Medicine 7 (1):1-16.
    In face of the multiple controversies surrounding the DSM process in general and the development of DSM-5 in particular, we have organized a discussion around what we consider six essential questions in further work on the DSM. The six questions involve: 1) the nature of a mental disorder; 2) the definition of mental disorder; 3) the issue of whether, in the current state of psychiatric science, DSM-5 should assume a cautious, conservative posture or an assertive, transformative posture; 4) the role (...)
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  20.  25
    J. Landes, J. B. Paris & A. Vencovská (2011). A Survey of Some Recent Results on Spectrum Exchangeability in Polyadic Inductive Logic. Synthese 181 (1):19 - 47.
    We give a unified account of some results in the development of Polyadic Inductive Logic in the last decade with particular reference to the Principle of Spectrum Exchangeability, its consequences for Instantial Relevance, Language Invariance and Johnson's Sufficientness Principle, and the corresponding de Finetti style representation theorems.
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  21.  26
    Jürgen Landes, Jeff Paris & Alena Vencovská (2008). Some Aspects of Polyadic Inductive Logic. Studia Logica 90 (1):3 - 16.
    We give a brief account of some de Finetti style representation theorems for probability functions satisfying Spectrum Exchangeability in Polyadic Inductive Logic, together with applications to Non-splitting, Language Invariance, extensions with Equality and Instantial Relevance.
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  22.  10
    A. Hill & J. B. Paris (2013). An Analogy Principle in Inductive Logic. Annals of Pure and Applied Logic 164 (12):1293-1321.
    We propose an Analogy Principle in the context of Unary Inductive Logic and characterize the probability functions which satisfy it. In particular in the case of a language with just two predicates the probability functions satisfying this principle correspond to solutions of Skyrmsʼ ‘Wheel of Fortune’.
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  23.  19
    James Phillips, Allen Frances, Michael A. Cerullo, John Chardavoyne, Hannah S. Decker, Michael B. First, Nassir Ghaemi, Gary Greenberg, Andrew C. Hinderliter, Warren A. Kinghorn, Steven G. LoBello, Elliott B. Martin, Aaron L. Mishara, Joel Paris, Joseph M. Pierre, Ronald W. Pies, Harold A. Pincus, Douglas Porter, Claire Pouncey, Michael A. Schwartz, Thomas Szasz, Jerome C. Wakefield, G. Scott Waterman, Owen Whooley & Peter Zachar (2012). The Six Most Essential Questions in Psychiatric Diagnosis: A Pluralogue. Part 4: General Conclusion. Philosophy, Ethics, and Humanities in Medicine 7 (1):14-.
    In the conclusion to this multi-part article I first review the discussions carried out around the six essential questions in psychiatric diagnosis – the position taken by Allen Frances on each question, the commentaries on the respective question along with Frances’ responses to the commentaries, and my own view of the multiple discussions. In this review I emphasize that the core question is the first – what is the nature of psychiatric illness – and that in some manner all further (...)
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  24. J. Paris (1953). Reviews : New Ways in Psychoanalysis by Karen Horney New York: W. W. Norton, I939. The Neurotic Personality of Our Time by Karen Horney New York: W. W. Norton, I937. [REVIEW] Diogenes 1 (2):93-99.
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  25.  26
    Jeff Paris (1998). Common Sense and Maximum Entropy. Synthese 117 (1):75-93.
    This paper concerns the question of how to draw inferences common sensically from uncertain knowledge. Since the early work of Shore and Johnson (1980), Paris and Vencovská (1990), and Csiszár (1989), it has been known that the Maximum Entropy Inference Process is the only inference process which obeys certain common sense principles of uncertain reasoning. In this paper we consider the present status of this result and argue that within the rather narrow context in which we work this complete and (...)
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  26.  11
    Petr Hájek, Jeff Paris & John Shepherdson (2000). Rational Pavelka Predicate Logic is a Conservative Extension of Łukasiewicz Predicate Logic. Journal of Symbolic Logic 65 (2):669-682.
    Rational Pavelka logic extends Lukasiewicz infinitely valued logic by adding truth constants r̄ for rationals in [0, 1]. We show that this is a conservative extension. We note that this shows that provability degree can be defined in Lukasiewicz logic. We also give a counterexample to a soundness theorem of Belluce and Chang published in 1963.
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  27.  1
    J. B. Paris, L. Pacholski, J. Wierzejewski, A. J. Wilkie, George Mills & Jussi Ketonen (1986). A Hierarchy of Cuts in Models of Arithmetic. Journal of Symbolic Logic 51 (4):1062-1066.
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  28.  1
    John J. Paris (2004). Improving Fairness in Coverage Decisions: Insights From the Harvard Community Health Plan's LORAN Commission Report. American Journal of Bioethics 4 (3):103-104.
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  29.  1
    L. A. S. Kirby, J. B. Paris, A. Lachlan, M. Srebrny & A. Zarach (1983). Initial Segments of Models of Peano's Axioms. Journal of Symbolic Logic 48 (2):482-483.
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  30.  34
    J. Paris & A. Vencovská (2011). Symmetry's End? Erkenntnis 74 (1):53-67.
    We examine the idea that similar problems should have similar solutions (to paraphrase van Fraassen’s slogan ‘Problems which are essentially the same must receive essentially the same solution’, see van Fraassen in Laws and symmetry, Oxford Univesity Press, Oxford, 1989, p. 236) in the context of symmetries of sentence algebras within Inductive Logic and conclude that by itself this is too generous a notion upon which to found the rational assignment of probabilities. We also argue that within our formulation of (...)
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  31.  25
    John J. Paris (2011). Standards, Norms, and Guidelines for Permissible Withdrawal of Life Support From Seriously Compromised Newborns. American Journal of Bioethics 11 (2):33 - 34.
    (2011). Standards, Norms, and Guidelines for Permissible Withdrawal of Life Support From Seriously Compromised Newborns. The American Journal of Bioethics: Vol. 11, No. 2, pp. 33-34.
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  32.  9
    R. Kaye, J. Paris & C. Dimitracopoulos (1988). On Parameter Free Induction Schemas. Journal of Symbolic Logic 53 (4):1082-1097.
    We present a comprehensive study of the axiom schemas IΣ - n , BΣ - n (induction and collection schemas for parameter free Σ n formulas) and some closely related schemas.
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  33.  9
    Jeff B. Paris & Alena Vencovská (2011). A Note on Irrelevance in Inductive Logic. Journal of Philosophical Logic 40 (3):357 - 370.
    We consider two formalizations of the notion of irrelevance as a rationality principle within the framework of (Carnapian) Inductive Logic: Johnson's Sufficientness Principle, JSP, which is classically important because it leads to Carnap's influential Continuum of Inductive Methods and the recently proposed Weak Irrelevance Principle, WIP. We give a complete characterization of the language invariant probability functions satisfying WIP which generalizes the Nix-Paris Continuum. We argue that the derivation of two very disparate families of inductive methods from alternative perceptions of (...)
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  34.  17
    John J. Paris (2011). Rationing: A “Decent Minimum” or a “Consumer Driven” Health Care System? American Journal of Bioethics 11 (7):16 - 18.
    The American Journal of Bioethics, Volume 11, Issue 7, Page 16-18, July 2011.
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  35.  84
    R. Booth & J. B. Paris (1998). A Note on the Rational Closure of Knowledge Bases with Both Positive and Negative Knowledge. Journal of Logic, Language and Information 7 (2):165-190.
    The notion of the rational closure of a positive knowledge base K of conditional assertions | (standing for if then normally ) was first introduced by Lehmann (1989) and developed by Lehmann and Magidor (1992). Following those authors we would also argue that the rational closure is, in a strong sense, the minimal information, or simplest, rational consequence relation satisfying K. In practice, however, one might expect a knowledge base to consist not just of positive conditional assertions, | , but (...)
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  36.  1
    E. Howarth, J. B. Paris & A. Vencovská (2016). An Examination of the SEP Candidate Analogical Inference Rule Within Pure Inductive Logic. Journal of Applied Logic 14:22-45.
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  37.  6
    John J. Paris & Michael Patrick Moore (2011). The Resuscitation of “Slow Codes”: Fraud, Lies, and Deception. American Journal of Bioethics 11 (11):13-14.
    The American Journal of Bioethics, Volume 11, Issue 11, Page 13-14, November 2011.
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  38.  16
    George Mills & Jeff Paris (1984). Regularity in Models of Arithmetic. Journal of Symbolic Logic 49 (1):272-280.
    This paper investigates the quantifier "there exist unboundedly many" in the context of first-order arithmetic. An alternative axiomatization is found for Peano arithmetic based on an axiom schema of regularity: The union of boundedly many bounded sets is bounded. We also obtain combinatorial equivalents of certain second-order theories associated with cuts in nonstandard models of arithmetic.
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  39.  2
    J. B. Paris & P. Waterhouse (2009). Atom Exchangeability and Instantial Relevance. Journal of Philosophical Logic 38 (3):313-332.
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  40.  11
    John Paris (2010). Autonomy Does Not Confer Sovereignty on the Patient: A Commentary on the Golubchuk Case. American Journal of Bioethics 10 (3):54-56.
  41.  31
    John J. Paris, Michael D. Schreiber & Michael P. Moreland (2007). Parental Refusal of Medical Treatment for a Newborn. Theoretical Medicine and Bioethics 28 (5):427-441.
    When there is a conflict between parents and the physician over appropriate care due to an infant whose decision prevails? What standard, if any, should guide such decisions?This article traces the varying standards articulated over the past three decades from the proposal in Duff and Campbell’s 1973 essay that these decisions are best left to the parents to the Baby Doe Regs of the 1980s which required every life that could be salvaged be continued. We conclude with support for the (...)
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  42.  12
    John J. Paris (1982). Brain Death, Death & Euthanasia. Thought: A Journal of Philosophy 57 (4):476-483.
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  43.  5
    John J. Paris & Gregory Webster (2005). Back to the Future: Overcoming Reluctance to Honor In-School DNAR Orders. American Journal of Bioethics 5 (1):67-69.
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  44.  10
    J. B. Paris & C. Dimitracopoulos (1983). A Note on the Undefinability of Cuts. Journal of Symbolic Logic 48 (3):564-569.
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  45.  5
    C. Dimitracopoulos & J. Paris (1986). The Pigeonhole Principle and Fragments of Arithmetic. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 32 (1-5):73-80.
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  46.  23
    J. B. Paris (1978). Some Independence Results for Peano Arithmetic. Journal of Symbolic Logic 43 (4):725-731.
  47.  3
    K. J. Devlin & J. B. Paris (1973). More on the Free Subset Problem. Annals of Mathematical Logic 5 (4):327-336.
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  48.  4
    P. Clote, P. Hájek & J. Paris (1990). On Some Formalized Conservation Results in Arithmetic. Archive for Mathematical Logic 30 (4):201-218.
    IΣ n andBΣ n are well known fragments of first-order arithmetic with induction and collection forΣ n formulas respectively;IΣ n 0 andBΣ n 0 are their second-order counterparts. RCA0 is the well known fragment of second-order arithmetic with recursive comprehension;WKL 0 isRCA 0 plus weak König's lemma. We first strengthen Harrington's conservation result by showing thatWKL 0 +BΣ n 0 is Π 1 1 -conservative overRCA 0 +BΣ n 0 . Then we develop some model theory inWKL 0 and illustrate (...)
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  49.  9
    Jeffrey Paris (1998). Contributors. Radical Philosophy Review 1 (1):87-88.
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  50.  30
    James Phillips, Allen Frances, Michael A. Cerullo, John Chardavoyne, Hannah S. Decker, Michael B. First, Nassir Ghaemi, Gary Greenberg, Andrew C. Hinderliter, Warren A. Kinghorn, Steven G. LoBello, Elliott B. Martin, Aaron L. Mishara, Joel Paris, Joseph M. Pierre, Ronald W. Pies, Harold A. Pincus, Douglas Porter, Claire Pouncey, Michael A. Schwartz, Thomas Szasz, Jerome C. Wakefield, G. Waterman, Owen Whooley & Peter Zachar (2012). The Six Most Essential Questions in Psychiatric Diagnosis: A Pluralogue Part 3: Issues of Utility and Alternative Approaches in Psychiatric Diagnosis. [REVIEW] Philosophy, Ethics, and Humanities in Medicine 7 (1):9-.
    In face of the multiple controversies surrounding the DSM process in general and the development of DSM-5 in particular, we have organized a discussion around what we consider six essential questions in further work on the DSM. The six questions involve: 1) the nature of a mental disorder; 2) the definition of mental disorder; 3) the issue of whether, in the current state of psychiatric science, DSM-5 should assume a cautious, conservative posture or an assertive, transformative posture; 4) the role (...)
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