Results for ' Scott rank'

998 found
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  1.  9
    Human Variability and the Explore–Exploit Trade‐Off in Recommendation.Scott Cheng-Hsin Yang, Chirag Rank, Jake A. Whritner, Olfa Nasraoui & Patrick Shafto - 2023 - Cognitive Science 47 (4):e13279.
    The enormous scale of the available information and products on the Internet has necessitated the development of algorithms that intermediate between options and human users. These algorithms attempt to provide the user with relevant information. In doing so, the algorithms may incur potential negative consequences stemming from the need to select items about which it is uncertain to obtain information about users versus the need to select items about which it is certain to secure high ratings. This tension is an (...)
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  2. Folk biology and the anthropology of science: Cognitive universals and cultural particulars.Scott Atran - 1998 - Behavioral and Brain Sciences 21 (4):547-569.
    This essay in the "anthropology of science" is about how cognition constrains culture in producing science. The example is folk biology, whose cultural recurrence issues from the very same domain-specific cognitive universals that provide the historical backbone of systematic biology. Humans everywhere think about plants and animals in highly structured ways. People have similar folk-biological taxonomies composed of essence-based species-like groups and the ranking of species into lower- and higher-order groups. Such taxonomies are not as arbitrary in structure and content, (...)
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  3.  60
    Taxonomic ranks, generic species, and core memes.Scott Atran - 1998 - Behavioral and Brain Sciences 21 (4):593-604.
    The target article contains a number of distinct but interrelated claims about the cognitive nature of folk biology based in part on cross-cultural work with urbanized Americans and forest-dwelling Maya Indians. Folk biology consists universally of a ranked taxonomy centered on essence-based generic species. This taxonomy is domain-specific, perhaps an innately determined evolutionary adaptation. Folk biology also plays a special role in cultural evolution in general, and in the development of Western biological science in particular. Even in our culture, however, (...)
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  4.  34
    Modular and cultural factors in biological understanding: an experimental approach to the cognitive basis of science.Scott Atran - 2002 - In Peter Carruthers, Stephen P. Stich & Michael Siegal (eds.), The Cognitive Basis of Science. Cambridge University Press. pp. 41--72.
    What follows is a discussion of three sets of experimental results that deal with various aspects of universal biological understanding among American and Maya children and adults. The first set of experiments shows that by the age of four-to-five years urban American and Yukatek Maya children employ a concept of innate species potential, or underlying essence, as an inferential framework for understanding the affiliation of an organism to a biological species, and for projecting known and unknown biological properties to organisms (...)
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  5.  23
    Ranking Rank Behaviors A Comprehensive Situation-Based Definition of Dishonesty.Elizabeth D. Scott & Karen A. Jehn - 1999 - Business and Society 38 (3):296-325.
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  6.  8
    From Scarcity to Visibility: Gender Differences in the Careers of Doctoral Scientists and Engineers.J. Scott Long - 2001 - National Academies Press.
    Although women have made important inroads in science and engineering since the early 1970s, their progress in these fields has stalled over the past several years. This study looks at women in science and engineering careers in the 1970s and 1980s, documenting differences in career outcomes between men and women and between women of different races and ethnic backgrounds. The panel presents what is known about the following questions and explores their policy implications: In what sectors are female Ph.D.s employed? (...)
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  7.  15
    Individual selection criteria for optimal team composition.Lu Hong & Scott E. Page - forthcoming - Theory and Decision:1-20.
    In this paper, we derive necessary and sufficient conditions on team based tasks in order for a selection criterion applied to individuals to produce optimal teams. We assume only that individuals have types and that a team’s performance depends on its size and the type composition of its members. We first derive the selection principle which states that if a selection criterion exists, it must rank types by homogeneous team performance, the performance of a team consisting only of that (...)
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  8.  41
    Does rank have its privilege? Inductive inferences within folkbiological taxonomies.John D. Coley, Douglas L. Medin & Scott Atran - 1997 - Cognition 64 (1):73-112.
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  9. Defending Common Sense. [REVIEW]Scott Campbell - 2000 - Partisan Review 68 (3):500-503.
    The greatest philosopher of the twentieth century may not have been Wittgenstein, or Russell, or Quine (and he certainly wasn’t Heidegger), but he may have been a somewhat obscure and conservative Australian named David Stove (1927-94). If he wasn’t the greatest philosopher of the century, Stove was certainly the funniest and most dazzling defender of common sense to be numbered among the ranks of last century’s thinkers, better even—by far—than G. E. Moore and J. L. Austin. The twentieth century was (...)
     
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  10.  26
    The Notion of Rank in Set-Theory.Dana Scott - 1966 - Journal of Symbolic Logic 31 (4):662-663.
  11. Plato's Critique of the Democratic Character.Dominic Scott - 2000 - Phronesis 45 (1):19-37.
    This paper tackles some issues arising from Plato's account of the democratic man in Rep. VIII. One problem is that Plato tends to analyse him in terms of the desires that he fulfils, yet sends out conflicting signals about exactly what kind of desires are at issue. Scholars are divided over whether all of the democrat's desires are appetites. There is, however, strong evidence against seeing him as exclusively appetitive: rather he is someone who satisfies desires from all three parts (...)
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  12.  35
    Prioritizing Rights in the Social Justice Curriculum.James Scott Johnston - 2009 - Studies in Philosophy and Education 28 (2):119-133.
    The biggest problem facing schools having social justice curricula, beyond implementation of a programme, I claim, is the problem of justification: what grounds what in social justice and how do we make this manifest to ourselves and to the curricula? If we cannot address this, then social justice curricula are doomed to begging the question. I claim that a ranking of human rights is not only necessary to adjudicate competing claims for social justice and at the same time, thwart interference (...)
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  13.  34
    ‘New continents’: The logical system of Josiah Royce.Scott L. Pratt - 2007 - History and Philosophy of Logic 28 (2):133-150.
    Josiah Royce (1855?1916) was, in addition to being the pre-eminent metaphysician at the turn of the 19th century in the USA, regarded as ?a logician of the first rank?. At the time of his death in 1916, he had begun a substantial and potentially revolutionary project in logic in which he sought to show the connection between logic and ethics, aesthetics, and metaphysics. His system was developed in light of the work of Bertrand Russell and A. B. Kempe and (...)
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  14. The normative structure of mathematization in systematic biology.Beckett Sterner & Scott Lidgard - 2014 - Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences 46 (1):44-54.
    We argue that the mathematization of science should be understood as a normative activity of advocating for a particular methodology with its own criteria for evaluating good research. As a case study, we examine the mathematization of taxonomic classification in systematic biology. We show how mathematization is a normative activity by contrasting its distinctive features in numerical taxonomy in the 1960s with an earlier reform advocated by Ernst Mayr starting in the 1940s. Both Mayr and the numerical taxonomists sought to (...)
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  15. Reconsidering ordered pairs.Dana Scott & Dominic McCarty - 2008 - Bulletin of Symbolic Logic 14 (3):379-397.
    The well known Wiener-Kuratowski explicit definition of the ordered pair, which sets ⟨x, y⟩ = {{x}, {x, y}}, works well in many set theories but fails for those with classes which cannot be members of singletons. With the aid of the Axiom of Foundation, we propose a recursive definition of ordered pair which addresses this shortcoming and also naturally generalizes to ordered tuples of greater lenght. There are many advantages to the new definition, for it allows for uniform definitions working (...)
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  16.  3
    Valuing the Unique: The Economics of Singularities.Nora Scott (ed.) - 2010 - Princeton University Press.
    In this landmark work of economic sociology, Lucien Karpik introduces the theory and practical tools needed to analyze markets for singularities. Singularities are goods and services that cannot be studied by standard methods because they are multidimensional, incommensurable, and of uncertain quality. Examples include movies, novels, music, artwork, fine wine, lawyers, and doctors. Valuing the Unique provides a theoretical framework to explain this important class of products and markets that for so long have eluded neoclassical economics. With this innovative theory--called (...)
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  17.  40
    Elementary Properties of the Finite Ranks.Anuj Dawar, Kees Doets, Steven Lindell & Scott Weinstein - 1998 - Mathematical Logic Quarterly 44 (3):349-353.
    This note investigates the class of finite initial segments of the cumulative hierarchy of pure sets. We show that this class is first-order definable over the class of finite directed graphs and that this class admits a first-order definable global linear order. We apply this last result to show that FO = FO.
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  18.  17
    Scott rank of Polish metric spaces.Michal Doucha - 2014 - Annals of Pure and Applied Logic 165 (12):1919-1929.
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  19.  57
    Computable Trees of Scott Rank [image] , and Computable Approximation.Wesley Calvert, Julia F. Knight & Jessica Millar - 2006 - Journal of Symbolic Logic 71 (1):283 - 298.
    Makkai [10] produced an arithmetical structure of Scott rank $\omega _{1}^{\mathit{CK}}$. In [9]. Makkai's example is made computable. Here we show that there are computable trees of Scott rank $\omega _{1}^{\mathit{CK}}$. We introduce a notion of "rank homogeneity". In rank homogeneous trees, orbits of tuples can be understood relatively easily. By using these trees, we avoid the need to pass to the more complicated "group trees" of [10] and [9]. Using the same kind of (...)
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  20.  8
    Bounds on Scott ranks of some polish metric spaces.William Chan - 2020 - Journal of Mathematical Logic 21 (1):2150001.
    If [Formula: see text] is a proper Polish metric space and [Formula: see text] is any countable dense submetric space of [Formula: see text], then the Scott rank of [Formula: see text] in the natural first-order language of metric spaces is countable and in fact at most [Formula: see text], where [Formula: see text] is the Church–Kleene ordinal of [Formula: see text] which is the least ordinal with no presentation on [Formula: see text] computable from [Formula: see text]. (...)
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  21.  9
    Erratum to: “Scott rank of Polish metric spaces” [Ann. Pure Appl. Logic 165 (12) (2014) 1919–1929].Michal Doucha - 2017 - Annals of Pure and Applied Logic 168 (7):1490.
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  22.  20
    Bounds on Scott rank for various nonelementary classes.David Marker - 1990 - Archive for Mathematical Logic 30 (2):73-82.
  23.  44
    Improving a Bounding Result That Constructs Models of High Scott Rank.Christina Goddard - 2016 - Notre Dame Journal of Formal Logic 57 (1):59-71.
    Let $T$ be a theory in a countable fragment of $\mathcal{L}_{\omega_{1},\omega}$ whose extensions in countable fragments have only countably many types. Sacks proves a bounding theorem that generates models of high Scott rank. For this theorem, a tree hierarchy is developed for $T$ that enumerates these extensions. In this paper, we effectively construct a predecessor function for formulas defining types in this tree hierarchy as follows. Let $T_{\gamma}\subseteq T_{\delta}$ with $T_{\gamma}$- and $T_{\delta}$-theories on level $\gamma$ and $\delta$, respectively. (...)
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  24.  20
    Scott Dana. The notion of rank in set-theory. Summaries of talks presented at the Summer Institute for Symbolic Logic, Cornell University, 1957, 2nd edn., Communications Research Division, Institute for Defense Analyses, Princeton, NJ, 1960, pp. 267–269. [REVIEW]A. Hajnal - 1966 - Journal of Symbolic Logic 31 (4):662-663.
  25.  52
    Complexity Ranks of Countable Models.Su Gao - 2007 - Notre Dame Journal of Formal Logic 48 (1):33-48.
    We define some variations of the Scott rank for countable models and obtain some inequalities involving the ranks. For mono-unary algebras we prove that the game rank of any subtree does not exceed the game rank of the whole model. However, similar questions about linear orders remain unresolved.
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  26.  8
    Review: Dana Scott, The Notion of Rank in Set-Theory. [REVIEW]A. Hajnal - 1966 - Journal of Symbolic Logic 31 (4):662-663.
  27.  21
    Scott complexity of countable structures.Rachael Alvir, Noam Greenberg, Matthew Harrison-Trainor & Dan Turetsky - 2021 - Journal of Symbolic Logic 86 (4):1706-1720.
    We define the Scott complexity of a countable structure to be the least complexity of a Scott sentence for that structure. This is a finer notion of complexity than Scott rank: it distinguishes between whether the simplest Scott sentence is $\Sigma _{\alpha }$, $\Pi _{\alpha }$, or $\mathrm {d-}\Sigma _{\alpha }$. We give a complete classification of the possible Scott complexities, including an example of a structure whose simplest Scott sentence is $\Sigma _{\lambda (...)
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  28.  18
    Computable structures of rank.J. F. Knight & J. Millar - 2010 - Journal of Mathematical Logic 10 (1):31-43.
    For countable structure, "Scott rank" provides a measure of internal, model-theoretic complexity. For a computable structure, the Scott rank is at most [Formula: see text]. There are familiar examples of computable structures of various computable ranks, and there is an old example of rank [Formula: see text]. In the present paper, we show that there is a computable structure of Scott rank [Formula: see text]. We give two different constructions. The first starts with (...)
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  29.  7
    Computable structures of rank omega (ck)(1).J. F. Knight & J. Millar - 2010 - Journal of Mathematical Logic 10 (1):31-43.
    For countable structure, "Scott rank" provides a measure of internal, model-theoretic complexity. For a computable structure, the Scott rank is at most [Formula: see text]. There are familiar examples of computable structures of various computable ranks, and there is an old example of rank [Formula: see text]. In the present paper, we show that there is a computable structure of Scott rank [Formula: see text]. We give two different constructions. The first starts with (...)
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  30.  28
    Scott sentences for certain groups.Julia F. Knight & Vikram Saraph - 2018 - Archive for Mathematical Logic 57 (3-4):453-472.
    We give Scott sentences for certain computable groups, and we use index set calculations as a way of checking that our Scott sentences are as simple as possible. We consider finitely generated groups and torsion-free abelian groups of finite rank. For both kinds of groups, the computable ones all have computable \ Scott sentences. Sometimes we can do better. In fact, the computable finitely generated groups that we have studied all have Scott sentences that are (...)
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  31.  11
    An introduction to the Scott complexity of countable structures and a survey of recent results.Matthew Harrison-Trainor - 2022 - Bulletin of Symbolic Logic 28 (1):71-103.
    Every countable structure has a sentence of the infinitary logic $\mathcal {L}_{\omega _1 \omega }$ which characterizes that structure up to isomorphism among countable structures. Such a sentence is called a Scott sentence, and can be thought of as a description of the structure. The least complexity of a Scott sentence for a structure can be thought of as a measurement of the complexity of describing the structure. We begin with an introduction to the area, with short and (...)
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  32.  10
    Computable scott sentences for quasi–Hopfian finitely presented structures.Gianluca Paolini - 2023 - Archive for Mathematical Logic 62 (1):55-65.
    We prove that every quasi-Hopfian finitely presented structure _A_ has a _d_- \(\Sigma _2\) Scott sentence, and that if in addition _A_ is computable and _Aut_(_A_) satisfies a natural computable condition, then _A_ has a computable _d_- \(\Sigma _2\) Scott sentence. This unifies several known results on Scott sentences of finitely presented structures and it is used to prove that other not previously considered algebraic structures of interest have computable _d_- \(\Sigma _2\) Scott sentences. In particular, (...)
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  33.  56
    On Scott and Karp trees of uncountable models.Tapani Hyttinen & Jouko Väänänen - 1990 - Journal of Symbolic Logic 55 (3):897-908.
    Let U and B be two countable relational models of the same first order language. If the models are nonisomorphic, there is a unique countable ordinal α with the property that $\mathfrak{U} \equiv^\alpha_{\infty\omega} \mathfrak{B} \text{but not} \mathfrak{U} \equiv^{\alpha + 1}_{\infty\omega} \mathfrak{B},$ i.e. U and B are L ∞ω -equivalent up to quantifier-rank α but not up to α + 1. In this paper we consider models U and B of cardinality ω 1 and construct trees which have a similar (...)
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  34.  61
    Classes of Ulm type and coding rank-homogeneous trees in other structures.E. Fokina, J. F. Knight, A. Melnikov, S. M. Quinn & C. Safranski - 2011 - Journal of Symbolic Logic 76 (3):846 - 869.
    The first main result isolates some conditions which fail for the class of graphs and hold for the class of Abelian p-groups, the class of Abelian torsion groups, and the special class of "rank-homogeneous" trees. We consider these conditions as a possible definition of what it means for a class of structures to have "Ulm type". The result says that there can be no Turing computable embedding of a class not of Ulm type into one of Ulm type. We (...)
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  35.  20
    The complexity of Scott sentences of scattered linear orders.Rachael Alvir & Dino Rossegger - 2020 - Journal of Symbolic Logic 85 (3):1079-1101.
    We calculate the complexity of Scott sentences of scattered linear orders. Given a countable scattered linear order L of Hausdorff rank $\alpha $ we show that it has a ${d\text {-}\Sigma _{2\alpha +1}}$ Scott sentence. It follows from results of Ash [2] that for every countable $\alpha $ there is a linear order whose optimal Scott sentence has this complexity. Therefore, our bounds are tight. We furthermore show that every Hausdorff rank 1 linear order has (...)
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  36.  40
    Index Sets for Classes of High Rank Structures.W. Calvert, E. Fokina, S. S. Goncharov, J. F. Knight, O. Kudinov, A. S. Morozov & V. Puzarenko - 2007 - Journal of Symbolic Logic 72 (4):1418 - 1432.
    This paper calculates, in a precise way, the complexity of the index sets for three classes of computable structures: the class $K_{\omega _{1}^{\mathit{CK}}}$ of structures of Scott rank $\omega _{1}^{\mathit{CK}}$ , the class $K_{\omega _{1}^{\mathit{CK}}+1}$ of structures of Scott rank $\omega _{1}^{\mathit{CK}}+1$ , and the class K of all structures of non-computable Scott rank. We show that I(K) is m-complete $\Sigma _{1}^{1},\,I(K_{\omega _{1}^{\mathit{CK}}})$ is m-complete $\Pi _{2}^{0}$ relative to Kleen's O, and $I(K_{\omega _{1}^{\mathit{CK}}+1})$ is (...)
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  37.  13
    A boundedness principle for the Hjorth rank.Ohad Drucker - 2021 - Archive for Mathematical Logic 61 (1):223-232.
    Hjorth introduced a Scott analysis for general Polish group actions, and asked whether his notion of rank satisfies a boundedness principle similar to the one of Scott rank—namely, if the orbit equivalence relation is Borel, then Hjorth ranks are bounded. We answer Hjorth’s question positively. As a corollary we prove the following conjecture of Hjorth—for every limit ordinal \, the set of elements whose orbit is of complexity less than \ is a Borel set.
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  38. Divine Hiddenness and De Jure Objections to Theism: You Can Have Both.Scott Hill & Felipe Leon - forthcoming - Philosophy and Theology.
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  39.  66
    Birth of a brain disease: science, the state and addiction neuropolitics.Scott Vrecko - 2010 - History of the Human Sciences 23 (4):52-67.
    This article critically interrogates contemporary forms of addiction medicine that are portrayed by policy-makers as providing a ‘rational’ or politically neutral approach to dealing with drug use and related social problems. In particular, it examines the historical origins of the biological facts that are today understood to provide a foundation for contemporary understandings of addiction as a ‘disease of the brain’. Drawing upon classic and contemporary work on ‘styles of thought’, it documents how, in the period between the mid-1960s and (...)
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  40. Against the Double Standard Argument in AI Ethics.Scott Hill - 2024 - Philosophy and Technology 37 (1):1-5.
    In an important and widely cited paper, Zerilli, Knott, Maclaurin, and Gavaghan (2019) argue that opaque AI decision makers are at least as transparent as human decision makers and therefore the concern that opaque AI is not sufficiently transparent is mistaken. I argue that the concern about opaque AI should not be understood as the concern that such AI fails to be transparent in a way that humans are transparent. Rather, the concern is that the way in which opaque AI (...)
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  41.  51
    What is Meaning?Scott Soames - 2010 - Princeton University Press.
    The tradition descending from Frege and Russell has typically treated theories of meaning either as theories of meanings, or as theories of truth conditions. However, propositions of the classical sort don't exist, and truth conditions can't provide all the information required by a theory of meaning. In this book, one of the world's leading philosophers of language offers a way out of this dilemma. Traditionally conceived, propositions are denizens of a "third realm" beyond mind and matter, "grasped" by mysterious Platonic (...)
  42.  16
    The Intercorporeal Self: Merleau-Ponty on Subjectivity.Scott L. Marratto - 2012 - Albany: State University of New York Press.
    An original interpretation of Merleau-Ponty on subjectivity, drawing from and challenging both the continental and analytic traditions.
  43. Ontology, analyticity, and meaning : the Quine-Carnap dispute.Scott Soames - 2009 - In David Chalmers, David Manley & Ryan Wasserman (eds.), Metametaphysics: New Essays on the Foundations of Ontology. Oxford University Press. pp. 424--43.
    In the middle of the twentieth century a dispute erupted between the chief architect of Logical Empiricism, Rudolf Carnap, and Logical Empiricism’s chief reformer, Willard van Orman Quine -- who was attempting to save what he took to be its main insights by recasting them in a more acceptable form. Though both eschewed metaphysics of the traditional apriori sort, and both were intent on making the investigation of science the center of philosophy, they disagreed about how to do so. Part (...)
     
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  44.  11
    What Makes an Argument Strong?Blake D. Scott - 2024 - Informal Logic 44 (1):19-43.
    It is widely believed that Perelman and Olbrechts-Tyteca’s theory of argumentation is vulnerable to the charge of relativism. This paper provides a more charitable interpretation of Perelman and Olbrechts-Tyteca’s normative views, one that properly considers the historical trajectory of their work and a wider range of texts than existing interpretations. It is argued that their views are better characterized as a form of “contrastivism about arguments” than any kind relativism. This more accurate depiction contributes to ongoing efforts to revive interest (...)
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  45.  11
    The wadge order on the Scott domain is not a well-quasi-order.Jacques Duparc & Louis Vuilleumier - 2020 - Journal of Symbolic Logic 85 (1):300-324.
    We prove that the Wadge order on the Borel subsets of the Scott domain is not a well-quasi-order, and that this feature even occurs among the sets of Borel rank at most 2. For this purpose, a specific class of countable 2-colored posets$\mathbb{P}_{emb} $equipped with the order induced by homomorphisms is embedded into the Wadge order on the$\Delta _2^0 $-degrees of the Scott domain. We then show that$\mathbb{P}_{emb} $admits both infinite strictly decreasing chains and infinite antichains with (...)
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  46.  5
    The Intercorporeal Self: Merleau-Ponty on Subjectivity.Scott L. Marratto - 2012 - Albany: State University of New York Press.
    _An original interpretation of Merleau-Ponty on subjectivity, drawing from and challenging both the continental and analytic traditions._.
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  47.  26
    The early Heidegger's philosophy of life: facticity, being, and language.Scott M. Campbell - 2012 - New York: Fordham University Press.
    Science and the originality of life -- Christian facticity -- Grasping life as a topic -- Ruinance -- The retrieval of history -- Facticity and ontology -- Factical speaking -- Rhetoric -- Sophistry.
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  48. Figures of light in the early history of relativity (1905-1914).Scott A. Walter - 2018 - In David Rowe (ed.), Einstein Studies. Birkhäuser. pp. 3-50.
    Albert Einstein's bold assertion of the form-invariance of the equation of a spherical light wave with respect to inertial frames of reference became, in the space of six years, the preferred foundation of his theory of relativity. Early on, however, Einstein's universal light-sphere invariance was challenged on epistemological grounds by Henri Poincaré, who promoted an alternative demonstration of the foundations of relativity theory based on the notion of a light-ellipsoid. Drawing in part on archival sources, this paper shows how an (...)
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  49.  11
    Suffering as a Criterion for Medical Assistance in Dying.John F. Scott & Mary M. Scott - 2023 - In Jaro Kotalik & David Shannon (eds.), Medical Assistance in Dying (MAID) in Canada: Key Multidisciplinary Perspectives. Springer Verlag. pp. 2147483647-2147483647.
    Canada has followed the pattern of Benelux nations by legislating sufferingSuffering as the pivotal eligibilityEligibilitycriterionCriterion for euthanasiaEuthanasia/assisted death without requiring terminal prognosis as is needed in most permissive jurisdictions. This chapter will explore the relationship between sufferingSuffering and Medical Assistance in Dying (MAID) and the ways in which sufferingSuffering is understood in the Supreme Court of Canada, the federal Criminal Code legislation and by health care assessors. Based on this analysis, we will argue that the resulting sufferingSufferingeligibilityEligibilitycriterionCriterion leaves the law (...)
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  50.  14
    The bamboo texts of Guodian: a study & complete translation.Scott Bradley Cook - 2012 - Ithaca, New York: East Asia Program, Cornell University.
    This study renders the complex corpus of the Guodian texts into a more easily manageable form, incorporating the past several years of scholarly activity on these texts and providing them with a comprehensive introduction along with a complete and well-annotated translation into English.
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