Results for 'IASP definition'

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  1. Does the IASP Definition of Pain Need Updating?Murat Aydede - 2019 - PAIN Reports 4 (5 - e777):1-7.
    The current IASP definition of pain has come under renewed criticisms recently. There is a new momentum for its revision as reflected by the fact that IASP has now a Presidential Task Force dedicated to look into whether there is enough warrant to update the definition. I critically review all the major criticisms of the current definition in detail, and raise new difficulties rarely discussed before. I show that none of the major criticisms has enough (...)
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  2. Defending the IASP Definition of Pain.Murat Aydede - 2017 - The Monist 100 (4):439–464.
    The official definition of ‘pain’ by the International Association for the Study of Pain (IASP) hasn’t seen much revision since its publication in 1979. There have been various criticisms of the definition in the literature from different quarters: that the definition implies a dubious metaphysical dualism, that it requires a strong form of consciousness as well as linguistic abilities, that it excludes many vulnerable groups that are otherwise perfectly capable of experiencing pain, that it has therefore (...)
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  3. Recently introduced IASP definition of ‘nociplastic pain’ needs better formulation.Murat Aydede & Adam Shriver - 2018 - PAIN 159:1176–77.
    This is a Letter to Editor of _Pain_ recommending revision of a pain term ('nociplastic pain') recently added to the IASP Pain Terms. (With a response from the Taxonomy Committee, Eva Kosek et al. PAIN: June 2018 - Volume 159 - Issue 6 - p 1177–1178.
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  4. What is a pain in a body part?Murat Aydede - 2020 - Canadian Journal of Philosophy 50 (2):143–158.
    The IASP definition of 'pain' defines pain as a subjective experience. The Note accompanying the definition emphasizes that as such pains are not to be identified with objective conditions of body parts (such as actual or potential tissue damage). Nevertheless, it goes on to state that a pain "is unquestionably a sensation in a part or parts of the body, but it is also always unpleasant and therefore also an emotional experience." This generates a puzzle that philosophers (...)
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  5. Towards an ontology of pain.Barry Smith, Werner Ceusters, Louis J. Goldberg & Richard Ohrbach - 2011 - In Proceedings of the Conference on Ontology and Analytical Metaphysics. Keio University Press.
    We present an ontology of pain and of other pain-related phenomena, building on the definition of pain provided by the International Association for the Study of Pain (IASP). Our strategy is to identify an evolutionarily basic canonical pain phenomenon, involving unpleasant sensory and emotional experience based causally in localized tissue damage that is concordant with that experience. We then show how different variant cases of this canonical pain phenomenon can be distinguished, including pain that is elevated relative to (...)
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  6. Some foundational problems in the scientific study of pain.Murat Aydede & Güven Güzeldere - 2002 - Philosophy of Science Supplement 69 (3):265-83.
    This paper is an attempt to spell out what makes the scientific study of pain so distinctive from a philosophical perspective. Using the IASP definition of ‘pain’ as our guide, we raise a number of questions about the philosophical assumptions underlying the scientific study of pain. We argue that unlike the study of ordinary perception, the study of pain focuses from the very start on the experience itself and its qualities, without making deep assumptions about whether pain experiences (...)
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  7. Independence and Connections of Pain and Suffering.S. Benjamin Fink - 2011 - Journal of Consciousness Studies 18 (9-10):46-66.
    Is a phenomenal pain a conscious primitive or composed of more primitive phenomenal states? Are pain experiences necessarily or only contingently unpleasant? Here, I sketch how to answer such questions concerning intra-phenomenal metaphysics using the example of pain and unpleasantness. Arguments for a symmetrical metaphysical independence of phenomenal pain and unpleasant affect are presented, rejecting a composite view like the IASP definition and dimensional views. The motivating intuition of these views is explained by common binding mechanisms in consciousness (...)
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  8. The Ambiguity of "Pain".S. Benjamin Fink - 2010 - In Jane Fernandez-Goldborough (ed.), Making Sense Of: Pain. Inter-Disciplinary Net.
    I argue that the understanding of "pain" as presented in the official medical definition by the IASP is ambiguous and likely a cluster concept.
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  9. Definite Descriptions and Semantic Pluralism.Brendan Murday - 2014 - Philosophical Papers 43 (2):255-284.
    We pose two arguments for the view that sentences containing definite descriptions semantically express multiple propositions: a general proposition as Russell suggested, and a singular proposition featuring the individual who uniquely satisfies the description at the world-time of utterance. One argument mirrors David Kaplan's arguments that indexicals express singular propositions through a context-sensitive character. The second argument mirrors Kent Bach's and Stephen Neale's arguments for pluralist views about terms putatively triggering conventional implicatures, appositive, and nonrestrictive relative clauses. After presenting these (...)
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  10.  50
    Life, Definition of (2nd edition).Erik Persson (ed.) - 2023
    There have through history been many attempts to define 'life' but there is no generally accepted definition of 'life' at this date. As a result, some have come to believe that defining 'life' is not a fruitful endeavour. This seems to be a minority view, however, since the quest to find or create a definition of 'life' is as active as ever.
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  11. Definite Descriptions and the Gettier Example.Christoph Schmidt-Petri & London School of Economics and Political Science - 2002 - CPNSS Discussion Papers.
    This paper challenges the first Gettier counterexample to the tripartite account of knowledge. Noting that 'the man who will get the job' is a description and invoking Donnellan's distinction between their 'referential' and 'attributive' uses, I argue that Smith does not actually believe that the man who will get the job has ten coins in his pocket. Smith's ignorance about who will get the job shows that the belief cannot be understood referentially, his ignorance of the coins in his pocket (...)
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  12. Definition and essence in Metaphysics vii 4.Lucas Angioni - 2014 - Ancient Philosophy 34 (1):75-100.
    I discuss Aristotle's treatment of essence and definition in Metaphysics VII.4. I argue that it is coherent and perfectly in accord with its broader context. His discussion in VII.4 offers, on the one hand, minimal criteria for what counts as definition and essence for whatever kind of object, but also, on the other hand, stronger criteria for a primary sort of definition and essence—and thereby it serves the interest of book VII in pointing to the explanatory power (...)
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  13. Demonstratives, definite descriptions and non-redundancy.Kyle Hammet Blumberg - 2020 - Philosophical Studies 177 (1):39-64.
    In some sentences, demonstratives can be substituted with definite descriptions without any change in meaning. In light of this, many have maintained that demonstratives are just a type of definite description. However, several theorists have drawn attention to a range of cases where definite descriptions are acceptable, but their demonstrative counterparts are not. Some have tried to account for this data by appealing to presupposition. I argue that such presuppositional approaches are problematic, and present a pragmatic account of the target (...)
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  14. Definiteness Projection.Matthew Mandelkern & Daniel Rothschild - 2019 - Natural Language Semantics:1-33.
    We argue that definite noun phrases give rise to uniqueness inferences characterized by a pattern we call definiteness projection. Definiteness projection says that the uniqueness inference of a definite projects out unless there is an indefinite antecedent in a position that filters presuppositions. We argue that definiteness projection poses a serious puzzle for e-type theories of (in)definites; on such theories, indefinites should filter existence presuppositions but not uniqueness presuppositions. We argue that definiteness projection also poses challenges for dynamic approaches, which (...)
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  15. Definitions in law.Fabrizio Macagno - 2010 - Bulletin Suisse de Linguistique Appliquée 2:199-217.
    Legal definitions will be examined from three perspectives: their pragmatic function, their propositional structure, and their argumentative role. In law, definitions can be used for different pragmatic purposes: they can be uttered to describe a concept, or to establish a new meaning for a term. The propositional content of definitional speech acts can be different. In law, like in ordinary conversation, there might be different types of definition: we can define by providing examples, or showing the fundamental characteristics of (...)
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  16. Definitions in ontologies.Selja Seppälä, Alan Ruttenberg, Yonatan Schreiber & Barry Smith - 2016 - Cahiers de Lexicologie 109 (2):175‐207.
    Definitions vary according to context of use and target audience. They must be made relevant for each context to fulfill their cognitive and linguistic goals. This involves adapting their logical structure, type of content, and form to each context of use. We examine from these perspectives the case of definitions in ontologies.
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  17. A definition, benchmark and database of AI for social good initiatives.Josh Cowls, Andreas Tsmadaos, Mariarosaria Taddeo & Luciano Floridi - 2021 - Nature Machine Intelligence 3:111–⁠115.
    Initiatives relying on artificial intelligence (AI) to deliver socially beneficial outcomes—AI for social good (AI4SG)—are on the rise. However, existing attempts to understand and foster AI4SG initiatives have so far been limited by the lack of normative analyses and a shortage of empirical evidence. In this Perspective, we address these limitations by providing a definition of AI4SG and by advocating the use of the United Nations’ Sustainable Development Goals (SDGs) as a benchmark for tracing the scope and spread of (...)
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  18.  58
    Definiteness in English and Estonian: same pragmatic principles, different syntaxes (Määravus inglise ja eesti keeles: samad pragmaatilised põhimõtted, erinevad süntaksid).Alex Davies - 2023 - In Bruno Mölder & Jaan Kangilaski (eds.), Keel, vaim, tunnetus. Analüütilise filosoofia seminar 30+. Tartu Ülikooli Kirjastus. pp. 59-83.
    Estonian doesn't have a definite article. Instead, bare singular noun phrases can unambiguously bear either a definite interpretation or an indefinite interpretation. This paper argues that the pragmatic principles governing the felicitous use of three English articles ("a", "the" and "another"), described by A Grønn and KJ Sæbø (2012, 'A, the, another: A game of same and different' Journal of Logic, Language and Information 21, 75-95) can also account for the conditions under which a bare singular noun phrase in Estonian (...)
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  19. Definite Descriptions in Intuitionist Positive Free Logic.Nils Kürbis - 2020 - Logic and Logical Philosophy 30:1.
    This paper presents rules of inference for a binary quantifier I for the formalisation of sentences containing definite descriptions within intuitionist positive free logic. I binds one variable and forms a formula from two formulas. Ix[F, G] means ‘The F is G’. The system is shown to have desirable proof-theoretic properties: it is proved that deductions in it can be brought into normal form. The discussion is rounded up by comparisons between the approach to the formalisation of definite descriptions recommended (...)
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  20. Definite Descriptions in Argument: Gettier’s Ten-Coins Example.Yussif Yakubu - 2020 - Argumentation 34 (2):261-274.
    In this article, I use Edmund Gettier’s Ten Coins hypothetical scenario to illustrate some reasoning errors in the use of definite descriptions. The Gettier problem, central as it is to modern epistemology, is first and foremost an argument, which Gettier (Analysis 23(6):121–123, 1963) constructs to prove a contrary conclusion to a widely held view in epistemology. Whereas the epistemological claims in the case have been extensively analysed conceptually, the strategies and tools from other philosophical disciplines such as analytic philosophy of (...)
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  21. Persuasive Definitions: Values, Meanings and Implicit Disagreements.Fabrizio Macagno & Douglas Walton - 2008 - 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 (...)
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  22. The Definition of Assertion: Commitment and Truth.Neri Marsili - forthcoming - Mind and Language.
    According to an influential view, asserting a proposition involves undertaking some “commitment” to the truth of that proposition. But accounts of what it is for someone to be committed to the truth of a proposition are often vague or imprecise, and are rarely put to work to define assertion. This paper aims to fill this gap. It offers a precise characterisation of assertoric commitment, and shows how it can be applied to define assertion. On the proposed view, acquiring commitment is (...)
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  23. Is Frege's Definition of the Ancestral Adequate?Richard G. Heck - 2016 - Philosophia Mathematica 24 (1):91-116.
    Why should one think Frege's definition of the ancestral correct? It can be proven to be extensionally correct, but the argument uses arithmetical induction, and that seems to undermine Frege's claim to have justified induction in purely logical terms. I discuss such circularity objections and then offer a new definition of the ancestral intended to be intensionally correct; its extensional correctness then follows without proof. This new definition can be proven equivalent to Frege's without any use of (...)
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  24. Definite Knowledge and Mutual Knowledge.Herbert H. Clark & Catherine R. Marshall - 1981 - In Aravind K. Joshi, Bonnie L. Webber & Ivan A. Sag (eds.), Elements of Discourse Understanding. Cambridge, UK: Cambridge University Press. pp. 10–63.
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  25. Definitions of Terms.Thaddeus Metz, Alejandro Adler, Ilona Boniwell, Evelyn Gibson, Martin Seligman, Yukiko Uchida & Zhanjun Xing - 2017 - In Centre for Bhutan Studies and G. N. H. (ed.), Happiness: Transforming the Development Landscape. Centre for Bhutan Studies and GNH. pp. 21-38.
    Definitions of terms that are central to a theoretical understanding of the Royal Government of Bhutan's policy of Gross National Happiness.
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  26. Definition, Bedingungen und Träger des Personseins – drei philosophische Aporien.Gregor Damschen - 2017 - In Adrian Loretan (ed.), Die Würde der menschlichen Person. Münster: Lit. pp. 153-164.
    Definition, conditions and bearers of being a person - three philosophical aporias. -/- In this article I examine the philosophical question of how to define the concept of the person in a non-arbitrary way, how to find out the determining conditions of being a person and how to enumerate the bearers of being a person. I come to the conclusion that the question of a non-arbitrary definition, of the essential conditions and of the bearers of being a person (...)
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  27. Definition by Induction in Frege's Grundgesetze der Arithmetik.Richard Heck - 1995 - In William Demopoulos (ed.), Frege's philosophy of mathematics. Cambridge, Mass.: Harvard University Press.
    This paper discusses Frege's account of definition by induction in Grundgesetze and the two key theorems Frege proves using it.
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  28. Definition.Samuel Elgin - manuscript
    This paper presents a puzzle about the logic of real definition. In particular, I demonstrate that five principles concerning definition (that it is coextensional and irreflexive, that it applies to its cases, that it permits expansion and that it is itself defined) are incompatible. I then explore the advantages and disadvantages of each principle—one of which must be rejected to restore consistency.
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  29.  45
    Triple definition or explanation of consciousness.Xinyan Zhang - manuscript
    The author argues in this paper that consciousness may never be defined or explained with entities and properties, neither with brains and neurons, nor with particles, waves, and fields. Instead, a system is proposed in this paper, with matter, energy and lives as its components, and with all its components defined as changes. The definitions or explanations of consciousness based on the systematic relationships among these components are: • Ontologically, consciousness is universal, since it may only be the systematic distinction (...)
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  30. Definite descriptions and the alleged east–west variation in judgments about reference.Yu Izumi, Masashi Kasaki, Yan Zhou & Sobei Oda - 2018 - Philosophical Studies 175 (5):1183-1205.
    Machery et al. presented data suggesting the existence of cross-cultural variation in judgments about the reference of proper names. In this paper, we examine a previously overlooked confound in the subsequent studies that attempt to replicate the results of Machery et al. using East Asian languages. Machery et al. and Sytsma et al. claim that they have successfully replicated the original finding with probes written in Chinese and Japanese, respectively. These studies, however, crucially rely on uses of articleless, ‘bare noun (...)
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  31. Hobbes, Definitions, and Simplest Conceptions.Marcus P. Adams - 2014 - 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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  32. Definitions, Sorites Arguments, and Leibniz’s Méditation sur la notion commune de la justice.Andreas Blank - 2004 - The Leibniz Review 14:153-166.
    As Leibniz points out in the Méditation sur la notion commune de la jus tice, justice—defined as charity of the wise and universal benevolence—belongs “to the necessary and eternal truths about the nature of things, as numbers and proportions.” According to the interpretation of Patrick Riley, from this perspective the two manuscripts usually regarded as belonging to the Méditation should be seen as complementary parts of a unitary Platonizing work. According to Riley, the manuscript that now constitutes the first part (...)
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  33. Definitional dictionary of logic.Desh Raj Sirswal - manuscript
    DEFINITIONAL DICTIONARY OF LOGIC -/- 2009 -/- Complied by -/- Dr Desh Raj Sirswal -/- .
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  34. Guidelines for writing definitions in ontologies.Selja Seppälä, Alan Ruttenberg & Barry Smith - 2017 - Ciência da Informação 46 (1): 73-88.
    Ontologies are being used increasingly to promote the reusability of scientific information by allowing heterogeneous data to be integrated under a common, normalized representation. Definitions play a central role in the use of ontologies both by humans and by computers. Textual definitions allow ontologists and data curators to understand the intended meaning of ontology terms and to use these terms in a consistent fashion across contexts. Logical definitions allow machines to check the integrity of ontologies and reason over data annotated (...)
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  35. Definition by Proxy.Samuel Elgin - manuscript
    I take some initial steps toward a theory of real definition, drawing upon recent developments in higher-order logic. The resulting account allows for extremely fine- grained distinctions (i.e., it can distinguish between any relata that differ in their syntactic structure, while avoiding the Russell-Myhill problem). It is the first account that can consistently embrace three desirable logical principles that initially appear to be incompatible: the Identification Hypothesis (if F is, by definition, G then F is the same as (...)
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  36. Definite Descriptions: What Frege Got Right and Russell Didn’t.Zsófia Zvolenszky - 1997 - Aporia Undergraduate Philosophy Journal:1-16.
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  37.  47
    Triple definition of complexity.Xinyan Zhang - manuscript
    Complexity may not be defined or explained with entities and properties. Instead, a system is proposed ontologically, epistemologically, and semantically as the definition or explanation in this paper, with matter, energy and lives as its components, and with all its components defined as changes, which might improve upon our prediction in/with complexity. -/- .
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  38. Margaret Macdonald on the Definition of Art.Daniel Whiting - 2022 - British Journal for the History of Philosophy 30 (6):1074-1095.
    In this paper, I show that, in a number of publications in the early 1950s, Margaret Macdonald argues that art does not admit of definition, that art is—in the sense associated with Wittgenstein—a family resemblance concept, and that definitions of art are best understood as confused or poorly expressed contributions to art criticism. This package of views is most typically associated with a famous paper by Morris Weitz from 1956. I demonstrate that Macdonald advanced that package prior to Weitz, (...)
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  39. A Binary Quantifier for Definite Descriptions in Intuitionist Negative Free Logic: Natural Deduction and Normalisation.Nils Kürbis - 2019 - Bulletin of the Section of Logic 48 (2):81-97.
    This paper presents a way of formalising definite descriptions with a binary quantifier ι, where ιx[F, G] is read as ‘The F is G’. Introduction and elimination rules for ι in a system of intuitionist negative free logic are formulated. Procedures for removing maximal formulas of the form ιx[F, G] are given, and it is shown that deductions in the system can be brought into normal form.
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  40. Definition and Power: Toward Authority without Privilege.Lynne Tirrell - 1993 - Hypatia 8 (4):1-34.
    Feminists have urged women to take semantic authority. This article explains what such authority is, how it depends upon community recognition, and how it differs from privilege and from authority as usually conceived under patriarchy. Understanding its natures and limits is an important part of attaining it. Understanding the role of community explains why separatism is the logical conclusion of this project, and why separatism is valuable even to those who do not separate.
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  41. Kant on the Nominal Definition of Truth.Alberto Vanzo - 2010 - Kant Studien 101 (2):147-166.
    Kant claims that the nominal definition of truth is: “Truth is the agreement of cognition with its object”. In this paper, I analyse the relevant features of Kant's theory of definition in order to explain the meaning of that claim and its consequences for the vexed question of whether Kant endorses or rejects a correspondence theory of truth. I conclude that Kant's claim implies neither that he holds, nor that he rejects, a correspondence theory of truth. Kant's claim (...)
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  42. Two Treatments of Definite Descriptions in Intuitionist Negative Free Logic.Nils Kürbis - 2019 - Bulletin of the Section of Logic 48 (4):299-317.
    Sentences containing definite descriptions, expressions of the form ‘The F’, can be formalised using a binary quantifier ι that forms a formula out of two predicates, where ιx[F, G] is read as ‘The F is G’. This is an innovation over the usual formalisation of definite descriptions with a term forming operator. The present paper compares the two approaches. After a brief overview of the system INFι of intuitionist negative free logic extended by such a quantifier, which was presented in (...)
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  43. Alternative Definitions of Epistasis: Dependence and Interaction.Michael J. Wade, Rasmus Grønfeldt Winther, Aneil F. Agrawal & Charles J. Goodnight - 2001 - 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 genetics). (...)
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  44. A simple definition of ‘intentionally’.Tadeg Quillien & Tamsin C. German - 2021 - Cognition 214 (C):104806.
    Cognitive scientists have been debating how the folk concept of intentional action works. We suggest a simple account: people consider that an agent did X intentionally to the extent that X was causally dependent on how much the agent wanted X to happen (or not to happen). Combined with recent models of human causal cognition, this definition provides a good account of the way people use the concept of intentional action, and offers natural explanations for puzzling phenomena such as (...)
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  45. Reasoning from Classifications and Definitions.Douglas Walton & Fabrizio Macagno - 2009 - 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 (...)
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  46. Improved Definition of NonStandard Neutrosophic Logic and Introduction to Neutrosophic Hyperreals (Fifth version).Florentin Smarandache - 2022 - Neutrosophic Sets and Systems 51 (1):1-20.
    In the fifth version of our response-paper [26] to Imamura’s criticism, we recall that NonStandard Neutrosophic Logic was never used by neutrosophic community in no application, that the quarter of century old neutrosophic operators (1995-1998) criticized by Imamura were never utilized since they were improved shortly after but he omits to tell their development, and that in real world applications we need to convert/approximate the NonStandard Analysis hyperreals, monads and binads to tiny intervals with the desired accuracy – otherwise they (...)
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  47. Sharvy's theory of definite descriptions revisited.Berit Brogaard - 2007 - Pacific Philosophical Quarterly 88 (2):160–180.
    The paper revisits Sharvy's theory of plural definite descriptions. An alternative account of plural definite descriptions building on the ideas of plural quantification and non-distributive plural predication is developed. Finally, the alternative is extrapolated to account for generic uses of definite descriptions.
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  48. Aristotle’s Definition of Scientific Knowledge.Lucas Angioni - 2016 - History of Philosophy & Logical Analysis 19 (1):79-104.
    In Posterior Analytics 71b9 12, we find Aristotle’s definition of scientific knowledge. The definiens is taken to have only two informative parts: scientific knowledge must be knowledge of the cause and its object must be necessary. However, there is also a contrast between the definiendum and a sophistic way of knowing, which is marked by the expression “kata sumbebekos”. Not much attention has been paid to this contrast. In this paper, I discuss Aristotle’s definition paying due attention to (...)
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  49. Definite Descriptions and the Gettier Example.Christoph Schmidt-Petri - 2002 - In CPNSS Discussion Paper. LSE.
    This paper challenges the first Gettier counterexample to the tripartite account of knowledge. Noting that 'the man who will get the job' is a description and invoking Donnellan's distinction between their 'referential' and 'attributive' uses, I argue that Smith does not actually believe that the man who will get the job has ten coins in his pocket. Smith's ignorance about who will get the job shows that the belief cannot be understood referentially, his ignorance of the coins in his pocket (...)
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  50. A definition of necessity.George Bealer - 2006 - Philosophical Perspectives 20 (1):17–39.
    In the history of philosophy, especially its recent history, a number of definitions of necessity have been ventured. Most people, however, find these definitions either circular or subject to counterexamples. I will show that, given a broadly Fregean conception of properties, necessity does indeed have a noncircular counterexample-free definition.
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