Search results for 'definitions' (try it on Scholar)

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  1. Simon Fokt (2012). Pornographic Art - A Case From Definitions. British Journal of Aesthetics 52 (3):287-300.
    On the whole, neither those who hold that pornography can never be art nor their opponents specify what they actually mean by ‘art’, even though it seems natural that their conclusions should vary depending on how the concept is understood. This paper offers a ‘definitional crossword’ and confronts some definitions of pornography with the currently most well-established definitions of art. My discussion shows that following any of the modern definitions entails that at least some pornography not only (...)
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    Rob Hengeveld (2011). Definitions of Life Are Not Only Unnecessary, but They Can Do Harm to Understanding. Foundations of Science 16 (4):323-325.
    In my response to the paper by Jagers op Akkerhuis, I object against giving definitions of life, since they bias anything that follows. As we don’t know how life originated, authors characterise life using criteria derived from present-day properties, thus emphasising widely different ones, which gives bias to their further analysis. This makes their results dependent on their initial suppositions, which introduces circularity in their reasoning.
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  3.  79
    Fabrizio Macagno & Douglas Walton (2008). The Argumentative Structure of Persuasive Definitions. Ethical Theory and Moral Practice 11 (5):525 - 549.
    In this paper we present an analysis of persuasive definition based on argumentation schemes. Using the medieval notion of differentia and the traditional approach to topics, we explain the persuasiveness of emotive terms in persuasive definitions by applying the argumentation schemes for argument from classification and argument from values. Persuasive definitions, we hold, are persuasive because their goal is to modify the emotive meaning denotation of a persuasive term in a way that contains an implicit argument from values. (...)
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  4.  71
    Francesco Orilia & Achille C. Varzi (1996). Truth and Circular Definitions. [REVIEW] Minds and Machines 6 (1):124–129.
    This original and enticing book provides a fresh, unifying perspective on many old and new logico-philosophical conundrums. Its basic thesis is that many concepts central in ordinary and philosophical discourse are inherently circular and thus cannot be fully understood as long as one remains within the confines of a standard theory of definitions. As an alternative, the authors develop a revision theory of definitions, which allows definitions to be circular without this giving rise to contradiction (but, at (...)
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  5.  22
    Dale Jacquette (2013). Syntactical Constraints on Definitions. Metaphilosophy 44 (1-2):145-156.
    This essay considers arguments for and against syntactical constraints on the proper formalization of definitions, originally owing to Alfred Tarski. It discusses and refutes an application of the constraints generalized to include a prohibition against not only object-place but also predicate-place variables in higher-order logic in a criticism of a recent effort to define the concept of heterologicality in a strengthened derivation of Grelling's paradox within type theory requirements. If the objections were correct, they would offer a more general (...)
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  6.  13
    John W. Powell (2012). To What Extent Can Definitions Help Our Understanding? What Plato Might Have Said in His Cups. Metaphilosophy 43 (5):698-713.
    There are grounds for taking Plato's agenda of searching for definitions to be ironic, and he points toward good arguments for being wary of trust in definitions.
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  7.  8
    Fabrizio Macagno & Douglas Walton (2008). Persuasive Definitions: Values, Meanings and Implicit Disagreements. Informal Logic 28 (3):203-228.
    The purpose of this paper is to inquire into the relationship between persuasive definition and common knowledge (propositions generally accepted and not subject to dispute in a discussion). We interpret the gap between common knowledge and persuasive definition (PD) in terms of potential disagreements: PDs are conceived as implicit arguments to win a potential conflict. Persuasive definitions are analyzed as arguments instantiating two argumentation schemes, argument from classification and argument from values, and presupposing a potential disagreement. The argumentative structure (...)
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  8.  6
    Jonathan Farrell (2008). Must Aesthetic Definitions of Art Be Disjunctive? American Society for Aesthetics Graduate E-Journal 1 (1):1-6.
    Aesthetic definitions of art face difficulties in dealing with art that is nonaesthetic. This has led some to suggest that if aesthetic theories of art are to apply to all art, then they must be disjunctive. In such a case, something would be art if and only if it either satisfied certain aesthetic criteria, or satisfied other, nonaesthetic, criteria.Nick Zangwill offers the Aesthetic Creation Theory. He considers ways that his theory could account for nonaesthetic art, and ultimately adopts a (...)
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  9. David Shaw, Bernice Elger & Flora Colledge (2014). What is a Biobank? Differing Definitions Among Biobank Stakeholders. Clinical Genetics 85 (3):223-7.
    Aim: While there is widespread agreement on the broad aspects of what constitutes a biobank, there is much disagreement regarding the precise definition. This research aimed to describe and analyse the definitions of the term biobank offered by various stakeholders in biobanking. Methods: Interviews were conducted with 36 biobanking stakeholders with international experience currently working in Switzerland. Results: The results show that, in addition to the core concepts of biological samples and linked data, the planned use of samples (including (...)
     
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  10. Marcel van Marrewijk (2003). Concepts and Definitions of CSR and Corporate Sustainability: Between Agency and Communion. [REVIEW] Journal of Business Ethics 44 (2-3):95-105.
    This paper provides an overview of the contemporary debate on the concepts and definitions of Corporate Social Responsibility (CSR) and Corporate Sustainability (CS). The conclusions, based on historical perspectives, philosophical analyses, impact of changing contexts and situations and practical considerations, show that "one solution fits all"-definition for CS(R) should be abandoned, accepting various and more specific definitions matching the development, awareness and ambition levels of organizations.
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  11. Marcus P. Adams (2014). Hobbes, Definitions, and Simplest Conceptions. Hobbes Studies 27 (1):35-60.
    Several recent commentators argue that Thomas Hobbes’s account of the nature of science is conventionalist. Engaging in scientific practice on a conventionalist account is more a matter of making sure one connects one term to another properly rather than checking one’s claims, e.g., by experiment. In this paper, I argue that the conventionalist interpretation of Hobbesian science accords neither with Hobbes’s theoretical account in De corpore and Leviathan nor with Hobbes’s scientific practice in De homine and elsewhere. Closely tied to (...)
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  12.  10
    Anil Gupta (2006). Finite Circular Definitions. In Thomas Bolander, Vincent F. Hendricks & Stig Andur Andersen (eds.), Self-Reference. CSLI Publications 79-93.
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  13.  11
    Raymond Spier (1995). Science, Engineering and Ethics: Running Definitions. Science and Engineering Ethics 1 (1):5-10.
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  14.  59
    Jaakko Hintikka (2012). If Logic, Definitions and the Vicious Circle Principle. Journal of Philosophical Logic 41 (2):505-517.
    In a definition (∀ x )(( x є r )↔D[ x ]) of the set r, the definiens D[ x ] must not depend on the definiendum r . This implies that all quantifiers in D[ x ] are independent of r and of (∀ x ). This cannot be implemented in the traditional first-order logic, but can be expressed in IF logic. Violations of such independence requirements are what created the typical paradoxes of set theory. Poincaré’s Vicious Circle Principle (...)
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  15.  7
    Christoffel den Biggelaar & Murari Suvedi (2000). Farmers' Definitions, Goals, and Bottlenecks of Sustainable Agriculture in the North-Central Region. Agriculture and Human Values 17 (4):347-358.
    Since its inception in 1988, the SAREprogram has sponsored hundreds of projects to exploreand apply economically viable, environmentally sound,and socially acceptable farming systems. Recognizingthat researchers often collaborated with producers andthat producer interest in sustainable agriculture wasincreasing, SARE's North-Central Region began directlyfunding farmers and ranchers in 1992 to test their ownideas on sustainable agriculture. The present articleis based on data from the formative evaluation of thefirst five years (1992 to 1996) of the NCR-SAREProducer Grant Program. The evaluation used acombination of mail (...)
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  16. Mari Ann Roberts (2010). Toward a Theory of Culturally Relevant Critical Teacher Care: African American Teachers' Definitions and Perceptions of Care for African American Students. Journal of Moral Education 39 (4):449-467.
    Growing research evidence on the ethic of care suggests that caring should be an integral part of the pedagogical methods implemented in schools. However, the colour blind ?community of care? often described in the literature does not disaggregate lines of ethnicity or race and much of this existing literature concerns elementary? and middle?school students. This phenomenological study examined teacher care for African American secondary students, through a theoretical lens of critical race and care theory, as it was represented through the (...)
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  17. Peter Pagin (2010). Compositionality I: Definitions and Variants. Philosophy Compass 5 (3):250-264.
    This is the first part of a two-part article on semantic compositionality, that is, the principle that the meaning of a complex expression is determined by the meanings of its parts and the way they are put together. Here we provide a brief historical background, a formal framework for syntax and semantics, precise definitions, and a survey of variants of compositionality. Stronger and weaker forms are distinguished, as well as generalized forms that cover extra-linguistic context dependence as well as (...)
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  18.  15
    Ryan E. Lawrence & Farr A. Curlin (2007). Clash of Definitions: Controversies About Conscience in Medicine. American Journal of Bioethics 7 (12):10 – 14.
    What role should the physician's conscience play in the practice of medicine? Much controversy has surrounded the question, yet little attention has been paid to the possibility that disputants are operating with contrasting definitions of the conscience. To illustrate this divergence, we contrast definitions stemming from Abrahamic religions and those stemming from secular moral tradition. Clear differences emerge regarding what the term conscience conveys, how the conscience should be informed, and what the consequences are for violating one's conscience. (...)
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  19.  66
    David Sloan Wilson (1992). On the Relationship Between Evolutionary and Psychological Definitions of Altruism and Selfishness. Biology and Philosophy 7 (1):61-68.
    I examine the relationship between evolutionary definitions of altruism that are based on fitness effects and psychological definitions that are based on the motives of the actor. I show that evolutionary altruism can be motivated by proximate mechanisms that are psychologically either altruistic or selfish. I also show that evolutionary definitions do rely upon motives as a metaphor in which the outcome of natural selection is compared to the decisions of a psychologically selfish (or altruistic) individual. Ignoring (...)
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  20.  8
    Paolo Mancosu (2014). Grundlagen, Section 64: Frege's Discussion of Definitions by Abstraction in Historical Context. History and Philosophy of Logic 36 (1):62-89.
    I offer in this paper a contextual analysis of Frege's Grundlagen, section 64. It is surprising that with so much ink spilled on that section, the sources of Frege's discussion of definitions by abstraction have remained elusive. I hope to have filled this gap by providing textual evidence coming from, among other sources, Grassmann, Schlömilch, and the tradition of textbooks in geometry for secondary schools . In addition, I put Frege's considerations in the context of a widespread debate in (...)
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  21.  62
    Pavel Tichý (1974). On Popper's Definitions of Verisimilitude. British Journal for the Philosophy of Science 25 (2):155-160.
    Popper has proposed two rigorous definitions of verisimilitude, A logical and a probabilistic one. The aim of this note is to show that, For simple logical reasons, Both are totally inadequate. It is demonstrated that on the logical definition, One false theory can never have more verisimilitude than another. An example of two theories a and b is given such that a is patently closer to the truth than b, Yet on popper's probabilistic definition, A has strictly less verisimilitude (...)
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  22.  19
    Paolo Mancosu (2014). Grundlagen, Section 64: Frege's Discussion of Definitions by Abstraction in Historical Context. History and Philosophy of Logic 36 (1):62-89.
    I offer in this paper a contextual analysis of Frege's Grundlagen, section 64. It is surprising that with so much ink spilled on that section, the sources of Frege's discussion of definitions by abstraction have remained elusive. I hope to have filled this gap by providing textual evidence coming from, among other sources, Grassmann, Schlömilch, and the tradition of textbooks in geometry for secondary schools . In addition, I put Frege's considerations in the context of a widespread debate in (...)
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  23.  54
    Carol E. Cleland (2012). Life Without Definitions. Synthese 185 (1):125-144.
    The question ‘what is life?’ has long been a source of philosophical debate and in recent years has taken on increasing scientific importance. The most popular approach among both philosophers and scientists for answering this question is to provide a “definition” of life. In this article I explore a variety of different definitional approaches, both traditional and non-traditional, that have been used to “define” life. I argue that all of them are deeply flawed. It is my contention that a scientifically (...)
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  24.  14
    David Zarefsky (2006). Strategic Maneuvering Through Persuasive Definitions: Implications for Dialectic and Rhetoric. [REVIEW] Argumentation 20 (4):399-416.
    Persuasive definitions – those that convey an attitude in the act of naming – are frequently employed in discourse and are a form of strategic maneuvering. The dynamics of persuasive definition are explored through brief case studies and an extended analysis of the use of the “war” metaphor in responding to terrorism after September 11, 2001. Examining persuasive definitions enables us to notice similarities and differences between strategic maneuvering in dialectical and in rhetorical argument, as well as differences (...)
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  25.  31
    Rupert Gethin (2011). On Some Definitions of Mindfulness. Contemporary Buddhism 12 (1):263--279.
    The Buddhist technical term was first translated as ?mindfulness? by T.W. Rhys Davids in 1881. Since then various authors, including Rhys Davids, have attempted definitions of what precisely is meant by mindfulness. Initially these were based on readings and interpretations of ancient Buddhist texts. Beginning in the 1950s some definitions of mindfulness became more informed by the actual practice of meditation. In particular, Nyanaponika's definition appears to have had significant influence on the definition of mindfulness adopted by those (...)
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  26.  15
    Alina Petrova, Yue Ma, George Tsatsaronis, Maria Kissa, Felix Distel, Franz Baader & Michael Schroeder, Formalizing Biomedical Concepts From Textual Definitions.
    BACKGROUND: Ontologies play a major role in life sciences, enabling a number of applications, from new data integration to knowledge verification. SNOMED CT is a large medical ontology that is formally defined so that it ensures global consistency and support of complex reasoning tasks. Most biomedical ontologies and taxonomies on the other hand define concepts only textually, without the use of logic. Here, we investigate how to automatically generate formal concept definitions from textual ones. We develop a method that (...)
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  27.  54
    Charlotte Werndl (2009). Justifying Definitions in Mathematics—Going Beyond Lakatos. Philosophia Mathematica 17 (3):313-340.
    This paper addresses the actual practice of justifying definitions in mathematics. First, I introduce the main account of this issue, namely Lakatos's proof-generated definitions. Based on a case study of definitions of randomness in ergodic theory, I identify three other common ways of justifying definitions: natural-world justification, condition justification, and redundancy justification. Also, I clarify the interrelationships between the different kinds of justification. Finally, I point out how Lakatos's ideas are limited: they fail to show how (...)
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  28. David Pitt (1999). In Defense of Definitions. Philosophical Psychology 12 (2):139-156.
    The arguments of Fodor, Garret, Walker and Parkes [(1980) Against definitions, Cognition, 8, 263-367] are the source of widespread skepticism in cognitive science about lexical semantic structure. Whereas the thesis that lexical items, and the concepts they express, have decompositional structure (i.e. have significant constituents) was at one time "one of those ideas that hardly anybody [in the cognitive sciences] ever considers giving up" (p. 264), most researchers now believe that "[a]ll the evidence suggests that the classical [(decompositional)] view (...)
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  29. Gerhard Jäger (2001). First Order Theories for Nonmonotone Inductive Definitions: Recursively Inaccessible and Mahlo. Journal of Symbolic Logic 66 (3):1073-1089.
    In this paper first order theories for nonmonotone inductive definitions are introduced, and a proof-theoretic analysis for such theories based on combined operator forms a la Richter with recursively inaccessible and Mahlo closure ordinals is given.
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  30. Christopher Belanger (2013). On Two Mathematical Definitions of Observational Equivalence: Manifest Isomorphism and Epsilon-Congruence Reconsidered. Studies in History and Philosophy of Science Part B 44 (2):69-76.
    In this article I examine two mathematical definitions of observational equivalence, one proposed by Charlotte Werndl and based on manifest isomorphism, and the other based on Ornstein and Weiss’s ε-congruence. I argue, for two related reasons, that neither can function as a purely mathematical definition of observational equivalence. First, each definition permits of counterexamples; second, overcoming these counterexamples will introduce non-mathematical premises about the systems in question. Accordingly, the prospects for a broadly applicable and purely mathematical definition of observational (...)
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  31. Leszek Aleksander Kołodziejczyk (2004). Truth Definitions in Finite Models. Journal of Symbolic Logic 69 (1):183-200.
    The paper discusses the notion of finite model truth definitions (or FM-truth definitions), introduced by M. Mostowski as a finite model analogue of Tarski's classical notion of truth definition. We compare FM-truth definitions with Vardi's concept of the combined complexity of logics, noting an important difference: the difficulty of defining FM-truth for a logic ᵍ does not depend on the syntax of L, as long as it is decidable. It follows that for a natural ᵍ there exist (...)
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  32.  99
    Winston Chiong (2005). Brain Death Without Definitions. Hastings Center Report 35 (6):20-30.
    : Most of the world now accepts the idea, first proposed four decades ago, that death means "brain death." But the idea has always been open to criticism because it doesn't square with all of our intuitions about death. In fact, none of the possible definitions of death quite works. Death, perhaps surprisingly, eludes definition, and "brain death" can be accepted only as a refinement of what is in fact a fuzzy concept.
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  33.  6
    Douglas Walton (2005). Deceptive Arguments Containing Persuasive Language and Persuasive Definitions. Argumentation 19 (2):159-186.
    Using persuasive definitions and persuasive language generally to put a spin on an argument has often held to be suspicious, if not deceptive or even fallacious. However, if the purpose of a persuasive definition is to persuade, and if rational persuasion can be a legitimate goal, putting forward a persuasive definition can have a legitimate basis in some cases. To clarify this basis, the old subject of definitions is reconfigured into a new dialectical framework in which, it is (...)
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  34. Michael J. Wade, Rasmus Grønfeldt Winther, Aneil F. Agrawal & Charles J. Goodnight (2001). Alternative Definitions of Epistasis: Dependence and Interaction. Trends in Ecology and Evolution 16 (9):498-504.
    Although epistasis is at the center of the Fisher-Wright debate, biologists not involved in the controversy are often unaware that there are actually two different formal definitions of epistasis. We compare concepts of genetic independence in the two theoretical traditions of evolutionary genetics, population genetics and quantitative genetics, and show how independence of gene action (represented by the multiplicative model of population genetics) can be different from the absence of gene interaction (represented by the linear additive model of quantitative (...)
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  35.  57
    Sherri C. Widen & James A. Russell (2010). Descriptive and Prescriptive Definitions of Emotion. Emotion Review 2 (4):377-378.
    Izard (2010) did not seek a descriptive definition of emotion—one that describes the concept as it is used by ordinary folk. Instead, he surveyed scientists’ prescriptive definitions—ones that prescribe how the concept should be used in theories of emotion. That survey showed a lack of agreement today and thus raised doubts about emotion as a useful scientific concept.
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  36.  20
    Francesco Orilia (2000). Property Theory and the Revision Theory of Definitions. Journal of Symbolic Logic 65 (1):212-246.
    Russell’s type theory has been the standard property theory for years, relying on rigid type distinctions at the grammatical level to circumvent the paradoxes of predication. In recent years it has been convincingly argued by Bealer, Cochiarella, Turner and others that many linguistic and ontological data are best accounted for by using a type-free property theory. In the spirit of exploring alternatives and “to have as many opportunities as possible for theory comparison”, this paper presents another type-free property theory, to (...)
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  37.  3
    Mirjam Burget, Emanuele Bardone & Margus Pedaste (forthcoming). Definitions and Conceptual Dimensions of Responsible Research and Innovation: A Literature Review. Science and Engineering Ethics:1-19.
    The aim of this study is to provide a discussion on the definitions and conceptual dimensions of Responsible Research and Innovation based on findings from the literature. In the study, the outcomes of a literature review of 235 RRI-related articles were presented. The articles were selected from the EBSCO and Google Scholar databases regarding the definitions and dimensions of RRI. The results of the study indicated that while administrative definitions were widely quoted in the reviewed literature, they (...)
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  38.  45
    Francesco Orilia (2000). Meaning and Circular Definitions. Journal of Philosophical Logic 29 (2):155-169.
    Gupta's and Belnap's Revision Theory of Truth defends the legitimacy of circular definitions. Circularity, however, forces us to reconsider our conception of meaning. A readjustment of some standard theses about meaning is here proposed, by relying on a novel version of the sense-reference distinction.
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  39.  86
    Fabrizio Macagno & Douglas Walton (2010). Defeasible Classifications and Inferences From Definitions. Informal Logic 30 (1):34-61.
    We contend that it is possible to argue reasonably for and against arguments from classifications and definitions, provided they are seen as defeasible (subject to exceptions and critical questioning). Arguments from classification of the most common sorts are shown to be based on defeasible reasoning of various kinds represented by patterns of logical reasoning called defeasible argumentation schemes. We show how such schemes can be identified with heuristics, or short-cut solutions to a problem. We examine a variety of arguments (...)
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  40.  14
    Douglas Walton & Fabrizio Macagno (2009). Reasoning From Classifications and Definitions. Argumentation 23 (1):81-107.
    In this paper we analyze the uses and misuses of argumentation schemes from verbal classification, and show how argument from definition supports argumentation based on argument from verbal classification. The inquiry has inevitably included the broader study of the concept of definition. The paper presents the schemes for argument from classification and for argument from definition, and shows how the latter type of argument so typically supports the former. The problem of analyzing arguments based on classification is framed in a (...)
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  41.  13
    Kevin De Queiroz (1992). Phylogenetic Definitions and Taxonomic Philosophy. Biology and Philosophy 7 (3):295-313.
    An examination of the post-Darwinian history of biological taxonomy reveals an implicit assumption that the definitions of taxon names consist of lists of organismal traits. That assumption represents a failure to grant the concept of evolution a central role in taxonomy, and it causes conflicts between traditional methods of defining taxon names and evolutionary concepts of taxa. Phylogenetic definitions of taxon names (de Queiroz and Gauthier 1990) grant the concept of common ancestry a central role in the (...) of taxon names and thus constitute an important step in the development of phylogenetic taxonomy. By treating phylogenetic relationships rather than organismal traits as necessary and sufficient properties, phylogenetic definitions remove conflicts between the definitions of taxon names and evolutionary concepts of taxa. The general method of definition represented by phylogenetic definitions of clade names can be applied to the names of other kinds of composite wholes, including populations and biological species. That the names of individuals (composite wholes) can be defined in terms of necessary and sufficient properties provides the foundation for a synthesis of seemingly incompatible positions held by contemporary individualists and essentialists concerning the nature of taxa and the definitions of taxon names. (shrink)
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  42.  37
    James Edwin Mahon (2008). Two Definitions of Lying. International Journal of Applied Philosophy 22 (2):211-230.
    This article first examines a number of different definitions of lying, from Aldert Vrij, Warren Shibles, Sissela Bok, the Oxford English Dictionary, Linda Coleman and Paul Kay, and Joseph Kupfer. It considers objections to all of them, and then defends Kupfer’s definition, as well as a modified version of his definition, as the best of those so far considered. Next, it examines five other definitions of lying, from Harry G. Frankfurt, Roderick M. Chisholm and Thomas D. Feehan, David (...)
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  43.  37
    Jeremy Avigad, Eliminating Definitions and Skolem Functions in First-Order Logic.
    From proofs in any classical first-order theory that proves the existence of at least two elements, one can eliminate definitions in polynomial time. From proofs in any classical first-order theory strong enough to code finite functions, including sequential theories, one can also eliminate Skolem functions in polynomial time.
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  44.  85
    Francesco Orilia & Achille C. Varzi (1998). A Note on Analysis and Circular Definitions. Grazer Philosophische Studien 54:107-113.
    Analyses, in the simplest form assertions that aim to capture an intimate link between two concepts, are viewed since Russell's theory of definite descriptions as analyzing descriptions. Analysis therefore has to obey the laws governing definitions including some form of a Substitutivity Principle (SP). Once (SP) is accepted the road to the paradox of analysis is open. Popular reactions to the paradox involve the fundamental assumption (SV) that sentences differing only in containing an analysandum resp. an analysans express the (...)
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  45.  26
    Rafal Urbaniak & K. Severi Hämäri (2012). Busting a Myth About Leśniewski and Definitions. History and Philosophy of Logic 33 (2):159 - 189.
    A theory of definitions which places the eliminability and conservativeness requirements on definitions is usually called the standard theory. We examine a persistent myth which credits this theory to Le?niewski, a Polish logician. After a brief survey of its origins, we show that the myth is highly dubious. First, no place in Le?niewski's published or unpublished work is known where the standard conditions are discussed. Second, Le?niewski's own logical theories allow for creative definitions. Third, Le?niewski's celebrated ?rules (...)
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  46.  37
    Wolfram Pohlers (2008). Ordinal Analysis of Non-Monotone-Definable Inductive Definitions. Annals of Pure and Applied Logic 156 (1):160-169.
    Exploiting the fact that -definable non-monotone inductive definitions have the same closure ordinal as arbitrary arithmetically definable monotone inductive definitions, we show that the proof theoretic ordinal of an axiomatization of -definable non-monotone inductive definitions coincides with the proof theoretic ordinal of the theory of arithmetically definable monotone inductive definitions.
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  47.  83
    Brendan S. Gillon (1990). Ambiguity, Generality, and Indeterminacy: Tests and Definitions. [REVIEW] Synthese 85 (3):391 - 416.
    The problem addressed is that of finding a sound characterization of ambiguity. Two kinds of characterizations are distinguished: tests and definitions. Various definitions of ambiguity are critically examined and contrasted with definitions of generality and indeterminacy, concepts with which ambiguity is sometimes confused. One definition of ambiguity is defended as being more theoretically adequate than others which have been suggested by both philosophers and linguists. It is also shown how this definition of ambiguity obviates a problem thought (...)
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  48. Omar De la Cruz, Eric Hall, Paul Howard, Jean E. Rubin & Adrienne Stanley (2002). Definitions of Compactness and the Axiom of Choice. Journal of Symbolic Logic 67 (1):143-161.
    We study the relationships between definitions of compactness in topological spaces and the roll the axiom of choice plays in these relationships.
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  49.  89
    Sanford Shieh (2008). Frege on Definitions. Philosophy Compass 3 (5):992-1012.
    This article treats three aspects of Frege's discussions of definitions. First, I survey Frege's main criticisms of definitions in mathematics. Second, I consider Frege's apparent change of mind on the legitimacy of contextual definitions and its significance for recent neo-Fregean logicism. In the remainder of the article I discuss a critical question about the definitions on which Frege's proofs of the laws of arithmetic depend: do the logical structures of the definientia reflect the understanding of arithmetical (...)
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  50.  72
    J. A. Burgess (2008). When is Circularity in Definitions Benign? Philosophical Quarterly 58 (231):214–233.
    I aim to show how and why some definitions can be benignly circular. According to Lloyd Humberstone, a definition that is analytically circular need not be inferentially circular and so might serve to illuminate the application-conditions for a concept. I begin by tidying up some problems with Humberstone's account. I then show that circular definitions of a kind commonly thought to be benign have inferentially circular truth-conditions and so are malign by Humberstone's test. But his test is too (...)
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