Results for ' definable valuations'

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  1.  34
    Uniformly defining valuation rings in Henselian valued fields with finite or pseudo-finite residue fields.Raf Cluckers, Jamshid Derakhshan, Eva Leenknegt & Angus Macintyre - 2013 - Annals of Pure and Applied Logic 164 (12):1236-1246.
    We give a definition, in the ring language, of Zp inside Qp and of Fp[[t]] inside Fp), which works uniformly for all p and all finite field extensions of these fields, and in many other Henselian valued fields as well. The formula can be taken existential-universal in the ring language, and in fact existential in a modification of the language of Macintyre. Furthermore, we show the negative result that in the language of rings there does not exist a uniform definition (...)
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  2.  10
    Definable valuations induced by multiplicative subgroups and NIP fields.Katharina Dupont, Assaf Hasson & Salma Kuhlmann - 2019 - Archive for Mathematical Logic 58 (7-8):819-839.
    We study the algebraic implications of the non-independence property and variants thereof on infinite fields, motivated by the conjecture that all such fields which are neither real closed nor separably closed admit a henselian valuation. Our results mainly focus on Hahn fields and build up on Will Johnson’s “The canonical topology on dp-minimal fields” :1850007, 2018).
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  3.  11
    Definability of Henselian Valuations by Conditions on the Value Group.Lothar Sebastian Krapp, Salma Kuhlmann & Moritz Link - 2023 - Journal of Symbolic Logic 88 (3):1064-1082.
    Given a Henselian valuation, we study its definability (with and without parameters) by examining conditions on the value group. We show that any Henselian valuation whose value group is not closed in its divisible hull is definable in the language of rings, using one parameter. Thereby we strengthen known definability results. Moreover, we show that in this case, one parameter is optimal in the sense that one cannot obtain definability without parameters. To this end, we present a construction method (...)
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  4.  16
    Definable Henselian valuation rings.Alexander Prestel - 2015 - Journal of Symbolic Logic 80 (4):1260-1267.
  5.  28
    Definable Henselian valuations.Franziska Jahnke & Jochen Koenigsmann - 2015 - Journal of Symbolic Logic 80 (1):85-99.
  6.  40
    Uniformly defining p-henselian valuations.Franziska Jahnke & Jochen Koenigsmann - 2015 - Annals of Pure and Applied Logic 166 (7-8):741-754.
  7.  16
    A definable Henselian valuation with high quantifier complexity.Immanuel Halupczok & Franziska Jahnke - 2015 - Mathematical Logic Quarterly 61 (4-5):362-366.
  8.  17
    Existential ∅-definability of Henselian valuation rings.Arno Fehm - 2015 - Journal of Symbolic Logic 80 (1):301-307.
  9.  28
    A note on valuation definable expansions of fields.Deirdre Haskell & Dugald Macpherson - 1998 - Journal of Symbolic Logic 63 (2):739-743.
  10.  35
    Abstract Valuation Semantics.Carlos Caleiro & Ricardo Gonçalves - 2013 - Studia Logica 101 (4):677-712.
    We define and study abstract valuation semantics for logics, an algebraically well-behaved version of valuation semantics. Then, in the context of the behavioral approach to the algebraization of logics, we show, by means of meaningful bridge theorems and application examples, that abstract valuations are suited to play a role similar to the one played by logical matrices in the traditional approach to algebraization.
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  11.  34
    Valuations - or How to Say the Unsayable.Georg Henrik Von Wright - 2000 - Ratio Juris 13 (4):347-357.
    In this paper, the author revisits “the emotive theory of value” and argues that values are not entities but nothing other than “linguistic fictions”. Accordingly, valuations—i.e., valuing actions—can be defined as approving or disapproving attitudes of a subject to some object. In this perspective, values cannot be true or false: What we can do is just compare them with regard to strength. As a consequence, value judgments are to be understood as sentences which are used either to say that (...)
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  12.  30
    On the quantifier complexity of definable canonical Henselian valuations.Arno Fehm & Franziska Jahnke - 2015 - Mathematical Logic Quarterly 61 (4-5):347-361.
  13.  38
    Olfaction, valuation, and action: reorienting perception.Jason B. Castro & William P. Seeley - 2014 - Frontiers in Psychology 5.
    In the philosophy of perception, olfaction is the perennial problem child, presenting a range of difficulties to those seeking to define its proper referents, and its phenomenological content. Here, we argue that many of these difficulties can be resolved by recognizing the object-like representation of odors in the brain, and by postulating that the basic objects of olfaction are best defined by their biological value to the organism, rather than physico-chemical dimensions of stimuli. Building on this organism-centered account, we speculate (...)
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  14. Valuations for the Quantum Propositional Structures and Hidden Variables for Quantum Mechanics.Ariadna Chernavska - 1980 - Dissertation, The University of British Columbia (Canada)
    The final portion of the thesis surveys proposals for the introduction of hidden variables into quantum mechanics, proofs of the impossibility of such hidden-variable proposals, and criticisms of these impossibility proofs. And arguments in favour of the partial-Boolean algebra, rather than the orthomodular lattice, formalization of the quantum propositional structures are reviewed. ;As for , each quantum state-induced expectation-function on a P truth-functionally assigns 1 and 0 values to the elements in a ultrafilter and dual ultraideal of P, where in (...)
     
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  15. Financialisation of Valuation.Eve Chiapello - 2015 - Human Studies 38 (1):13-35.
    This article shows that forms of analysis and calculation specific to finance are spreading, and changing valuation processes in various social settings. This perspective is used to contribute to the study of the recent transformations of capitalism, as financialisation is usually seen as marking the past three decades. After defining what is meant by “financialised valuation,” different examples are discussed. Recent developments concerning the valuation of assets in accounting standards and credit risk in banking regulations are used to suggest that (...)
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  16.  10
    Five artists' valuations of the visual.Nigel Whiteley - 1999 - Cultural Values 3 (1):73-99.
    This paper comprises interviews with five practising artists: Terry Atkinson, Torie Begg, Rebecca Fortnum, Lubaina Himid, and James Hugonin. The aim is to gauge the ways in which ‘the visual’ features in contemporary fine art practice, not only at the end of a century in which the visual ‐ at least for much of the first half of that century ‐ was often accorded special status, but also, more recently, after Conceptualism and radical egalitarian interventions have challenged the status of (...)
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  17.  33
    From Manuscript Evaluation to Article Valuation: The Changing Technologies of Journal Peer Review.David Pontille & Didier Torny - 2015 - Human Studies 38 (1):57-79.
    Born in the 17th century, journal peer review is an extremely diverse technology, constantly torn between two often incompatible goals: the validation of manuscripts conceived as a collective industrial-like reproducible process performed to assert scientific statements, and the dissemination of articles considered as a means to spur scientific discussion, raising controversies, and civically challenging a state of knowledge. Such a situation is particularly conducive to clarifying the processes of valuation and evaluation in journal peer review. In this article, such processes (...)
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  18.  14
    Definable V-topologies, Henselianity and NIP.Yatir Halevi, Assaf Hasson & Franziska Jahnke - 2019 - Journal of Mathematical Logic 20 (2):2050008.
    We initiate the study of definable [Formula: see text]-topologies and show that there is at most one such [Formula: see text]-topology on a [Formula: see text]-henselian NIP field. Equivalently, we show that if [Formula: see text] is a bi-valued NIP field with [Formula: see text] henselian, then [Formula: see text] and [Formula: see text] are comparable. As a consequence, Shelah’s conjecture for NIP fields implies the henselianity conjecture for NIP fields. Furthermore, the latter conjecture is proved for any field (...)
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  19. A topos perspective on the kochen-Specker theorem: I. Quantum states as generalised valuations.Chris Isham & Jeremy Butterfield - unknown
    Any attempt to construct a realist interpretation of quantum theory founders on the Kochen-Specker theorem, which asserts the impossibility of assigning values to quantum quantities in a way that preserves functional relations between them. We construct a new type of valuation which is defined on all operators, and which respects an appropriate version of the functional composition principle. The truth-values assigned to propositions are (i) contextual; and (ii) multi-valued, where the space of contexts and the multi-valued logic for each context (...)
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  20.  20
    Sensitive analysis of company market capitalization to its value changing calculated using DCF modeling and comparable companies valuation method.Igor Kryvovyazyuk & Oleksandr Burban - 2022 - Економічний Простір 179:55-61.
    The main goal of the article is a further development of the usage of income and comparable approaches to company valuation aimed at defining market capitalization sensitivity to value changing in the conditions of dynamization of internal and external business parameters. The relevance of the researched topic is determined by the importance of establishing the factors influencing the change in company market capitalization based on the synthesis of approaches to company valuation. To obtain the results of the study, the following (...)
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  21.  16
    Existential definability of modal frame classes.Tin Perkov & Luka Mikec - 2020 - Mathematical Logic Quarterly 66 (3):316-325.
    We prove an existential analogue of the Goldblatt‐Thomason Theorem which characterizes modal definability of elementary classes of Kripke frames using closure under model theoretic constructions. The less known version of the Goldblatt‐Thomason Theorem gives general conditions, without the assumption of first‐order definability, but uses non‐standard constructions and algebraic semantics. We present a non‐algebraic proof of this result and we prove an analogous characterization for an alternative notion of modal definability, in which a class is defined by formulas which are satisfiable (...)
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  22.  25
    To Value Functions or Services? An Analysis of Ecosystem Valuation Approaches.Erik Ansink, Lars Hein & Knut Per Hasund - 2008 - Environmental Values 17 (4):489-503.
    Monetary valuation of ecosystem services is a widely used approach to quantify the benefits supplied by the natural environment to society. An alternative approach is the monetary valuation of ecosystem functions, which is defined as the capacity of the ecosystem to supply services. Using two European case-study areas, this paper explores the relative advantages of the two valuation approaches. This is done using a conceptual analysis, a qualitative application, and an overall comparison of both approaches. It is concluded that both (...)
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  23.  44
    Boolean products of real closed valuation rings and fields.Jorge I. Guier - 2001 - Annals of Pure and Applied Logic 112 (2-3):119-150.
    We present some results concerning elimination of quantifiers and elementary equivalence for Boolean products of real closed valuation rings and fields. We also study rings of continuous functions and rings of definable functions over real closed valuation rings under this point of view.
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  24.  69
    Canonical forms for definable subsets of algebraically closed and real closed valued fields.Jan E. Holly - 1995 - Journal of Symbolic Logic 60 (3):843-860.
    We present a canonical form for definable subsets of algebraically closed valued fields by means of decompositions into sets of a simple form, and do the same for definable subsets of real closed valued fields. Both cases involve discs, forming "Swiss cheeses" in the algebraically closed case, and cuts in the real closed case. As a step in the development, we give a proof for the fact that in "most" valued fields F, if f(x),g(x) ∈ F[ x] and (...)
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  25.  93
    On the origin of the WTA–WTP divergence in public good valuation.Emmanuel Flachaire, Guillaume Hollard & Jason F. Shogren - 2013 - Theory and Decision 74 (3):431-437.
    This paper tests whether individual perceptions of markets as good or bad for a public good is correlated with the propensity to report gaps in willingness to pay and willingness to accept revealed within an incentive compatible mechanism. Identifying people based on a notion of market affinity, we find a substantial part of the gap can be explained by controlling for some variables that were not controlled for before. This result suggests the valuation gap for public goods can be reduced (...)
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  26.  27
    A theory of pairs for non-valuational structures.Elitzur Bar-Yehuda, Assaf Hasson & Ya’Acov Peterzil - 2019 - Journal of Symbolic Logic 84 (2):664-683.
    Given a weakly o-minimal structure${\cal M}$and its o-minimal completion$\bar{{\cal M}}$, we first associate to$\bar{{\cal M}}$a canonical language and then prove thatTh$\left$determines$Th\left$. We then investigate the theory of the pair$\left$in the spirit of the theory of dense pairs of o-minimal structures, and prove, among other results, that it is near model complete, and every definable open subset of${\bar{M}^n}$is already definable in$\bar{{\cal M}}$.We give an example of a weakly o-minimal structure interpreting$\bar{{\cal M}}$and show that it is not elementarily equivalent to (...)
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  27.  7
    Maclntyre On Defining Morality.William K. Frankena - 1958 - Philosophy 33 (125):158-167.
    IN “What Morality is Not”, Philosophy, XXXII, Mr. Alasdair Maclntyre argues against the view, now common, “that universal–izability is of the essence of moral valuation”. On page 331 he uses an argument which is an adaptation and extension of Moore's naturalistic fallacy argument, and which is generalizable. As Moore's argument, if cogent, holds against all definitions of “good”, “right”, etc., so Maclntyre's argument, if good, holds against all definitions of “moral” and “morality”. For this reason I shall examine his argument, (...)
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  28.  31
    Macintyre on Defining Morality.William K. Frankena - 1958 - Philosophy 33 (125):158 - 162.
    IN “What Morality is Not”, Philosophy , XXXII , Mr. Alasdair Maclntyre argues against the view, now common, “that universal–izability is of the essence of moral valuation”. On page 331 he uses an argument which is an adaptation and extension of Moore's naturalistic fallacy argument, and which is generalizable. As Moore's argument, if cogent, holds against all definitions of “good”, “right”, etc., so Maclntyre's argument, if good, holds against all definitions of “moral” and “morality”. For this reason I shall examine (...)
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  29.  16
    Cell decomposition and classification of definable sets in p-optimal fields.Luck Darnière & Immanuel Halpuczok - 2017 - Journal of Symbolic Logic 82 (1):120-136.
    We prove that forp-optimal fields a cell decomposition theorem follows from methods going back to Denef’s paper [7]. We derive from it the existence of definable Skolem functions and strongp-minimality. Then we turn to stronglyp-minimal fields satisfying the Extreme Value Property—a property which in particular holds in fields which are elementarily equivalent to ap-adic one. For such fieldsK, we prove that every definable subset ofK×Kdwhose fibers overKare inverse images by the valuation of subsets of the value group is (...)
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  30.  36
    On Metric Types That Are Definable in an O-Minimal Structure.Guillaume Valette - 2008 - Journal of Symbolic Logic 73 (2):439 - 447.
    In this paper we study the metric spaces that are definable in a polynomially bounded o-minimal structure. We prove that the family of metric spaces definable in a given polynomially bounded o-minimal structure is characterized by the valuation field Λ of the structure. In the last section we prove that the cardinality of this family is that of Λ. In particular these two results answer a conjecture given in [SS] about the countability of the metric types of analytic (...)
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  31. Stephen Finlay, University of Southern California.Defining Normativity - 2019 - In Toh Kevin, Plunkett David & Shapiro Scott (eds.), Dimensions of Normativity: New Essays on Metaethics and Jurisprudence. New York: Oxford University Press.
     
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  32. " In vain have I Smitten your children".Augustine Defines Just War - 2006 - In R. Joseph Hoffmann (ed.), The Just War and Jihad. Prometheus Press.
     
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  33. Prolegomenon to Any Future Philosophy of History.Defining an Event - 1974 - Social Research: An International Quarterly 41:439-66.
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  34.  46
    Some model theory for almost real closed fields.Françoise Delon & Rafel Farré - 1996 - Journal of Symbolic Logic 61 (4):1121-1152.
    We study the model theory of fields k carrying a henselian valuation with real closed residue field. We give a criteria for elementary equivalence and elementary inclusion of such fields involving the value group of a not necessarily definable valuation. This allows us to translate theories of such fields to theories of ordered abelian groups, and we study the properties of this translation. We also characterize the first-order definable convex subgroups of a given ordered abelian group and prove (...)
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  35.  23
    The Environment as a Commodity.A. Vatn - 2000 - Environmental Values 9 (4):493-509.
    This paper addresses problems related to transferring market concepts to non-market domains. More specifically it is about fallacies following from the use of the commodity concept in environmental valuation studies. First of all, the standard practice tends to misconstrue the ethical aspects related to environmental choices by forcing them into becoming ordinary trade-off problems. Second, the commodity perspective ignores important technical interdependencies within the environment and the relational character of environmental goods. These are all properties that have made many such (...)
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  36.  29
    A localic theory of lower and upper integrals.Steven Vickers - 2008 - Mathematical Logic Quarterly 54 (1):109-123.
    An account of lower and upper integration is given. It is constructive in the sense of geometric logic. If the integrand takes its values in the non-negative lower reals, then its lower integral with respect to a valuation is a lower real. If the integrand takes its values in the non-negative upper reals, then its upper integral with respect to a covaluation and with domain of integration bounded by a compact subspace is an upper real. Spaces of valuations and (...)
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  37.  74
    Game Trees For Decision Analysis.Prakash P. Shenoy - 1998 - Theory and Decision 44 (2):149-171.
    Game trees (or extensive-form games) were first defined by von Neumann and Morgenstern in 1944. In this paper we examine the use of game trees for representing Bayesian decision problems. We propose a method for solving game trees using local computation. This method is a special case of a method due to Wilson for computing equilibria in 2-person games. Game trees differ from decision trees in the representations of information constraints and uncertainty. We compare the game tree representation and solution (...)
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  38.  11
    Henselian expansions of NIP fields.Franziska Jahnke - 2023 - Journal of Mathematical Logic 24 (2).
    Let K be an NIP field and let v be a Henselian valuation on K. We ask whether [Formula: see text] is NIP as a valued field. By a result of Shelah, we know that if v is externally definable, then [Formula: see text] is NIP. Using the definability of the canonical p-Henselian valuation, we show that whenever the residue field of v is not separably closed, then v is externally definable. In the case of separably closed residue (...)
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  39.  18
    Ranchers, Scientists, and Grass-roots Development in the United States and Kenya.Charis M. Thompson - 2002 - Environmental Values 11 (3):303-326.
    Two initiatives in community-based biodiversity conservation are examined. I describe key aspects of the formation in the mid 1990s of the Malpai Borderlands Group of the Southwest US, and the reorganisation of the Kenya Wildlife Service during 1994–6 and their legacies since then. I review how history, ownership, membership, and valuation were appealed to, created, maintained, and contested in defining what should be saved, by and for whom, and how in each. I also suggest the central role of science and (...)
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  40.  32
    Elementary geometric local–global principles for fields.Arno Fehm - 2013 - Annals of Pure and Applied Logic 164 (10):989-1008.
    We define and investigate a family of local–global principles for fields involving both orderings and p-valuations. This family contains the PAC, PRC and PpC fields and exhausts the class of pseudo classically closed fields. We show that the fields satisfying such a local–global principle form an elementary class, admit diophantine definitions of holomorphy domains, and their orderings satisfy the strong approximation property.
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  41.  20
    Understanding Rare Disease Experiences Through the Concept of Morally Problematic Situations.Ariane Quintal, Élissa Hotte, Caroline Hébert, Isabelle Carreau, Annie-Danielle Grenier, Yves Berthiaume & Eric Racine - forthcoming - HEC Forum:1-38.
    Rare diseases, defined as having a prevalence inferior to 1/2000, are poorly understood scientifically and medically. Appropriate diagnoses and treatments are scarce, adding to the burden of living with chronic medical conditions. The moral significance of rare disease experiences is often overlooked in qualitative studies conducted with adults living with rare diseases. The concept of morally problematic situations arising from pragmatist ethics shows promise in understanding these experiences. The objectives of this study were to (1) acquire an in-depth understanding of (...)
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  42.  99
    Sahlqvist Correspondence for Modal mu-calculus.Johan van Benthem, Nick Bezhanishvili & Ian Hodkinson - 2012 - Studia Logica 100 (1-2):31-60.
    We define analogues of modal Sahlqvist formulas for the modal mu-calculus, and prove a correspondence theorem for them.
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  43.  39
    Sahlqvist Correspondence for Modal mu-calculus.Johan Benthem, Nick Bezhanishvili & Ian Hodkinson - 2012 - Studia Logica 100 (1-2):31-60.
    We define analogues of modal Sahlqvist formulas for the modal mu-calculus, and prove a correspondence theorem for them.
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  44. Dynamic Many Valued Logic Systems in Theoretical Economics.D. Lu - manuscript
    This paper is an original attempt to understand the foundations of economic reasoning. It endeavors to rigorously define the relationship between subjective interpretations and objective valuations of such interpretations in the context of theoretical economics. This analysis is substantially expanded through a dynamic approach, where the truth of a valuation results in an updated interpretation or changes in the agent's subjective belief regarding the effectiveness of the selected action as well as the objective reality of the effectiveness of all (...)
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  45. Ontology and values anchor indigenous and grey nomenclatures: a case study in lichen naming practices among the Samí, Sherpa, Scots, and Okanagan.Catherine Kendig - 2020 - Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences 84:101340.
    Ethnobotanical research provides ample justification for comparing diverse biological nomenclatures and exploring ways that retain alternative naming practices. However, how (and whether) comparison of nomenclatures is possible remains a subject of discussion. The comparison of diverse nomenclatural practices introduces a suite of epistemic and ontological difficulties and considerations. Different nomenclatures may depend on whether the communities using them rely on formalized naming conventions; cultural or spiritual valuations; or worldviews. Because of this, some argue that the different naming practices may (...)
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  46. On Probability and Cosmology: Inference Beyond Data?Martin Sahlen - 2017 - In K. Chamcham, J. Silk, J. D. Barrow & S. Saunders (eds.), The Philosophy of Cosmology. Cambridge, UK:
    Modern scientific cosmology pushes the boundaries of knowledge and the knowable. This is prompting questions on the nature of scientific knowledge. A central issue is what defines a 'good' model. When addressing global properties of the Universe or its initial state this becomes a particularly pressing issue. How to assess the probability of the Universe as a whole is empirically ambiguous, since we can examine only part of a single realisation of the system under investigation: at some point, data will (...)
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  47.  12
    Weakly o-minimal nonvaluational structures.Roman Wencel - 2008 - Annals of Pure and Applied Logic 154 (3):139-162.
    A weakly o-minimal structure image expanding an ordered group is called nonvaluational iff for every cut left angle bracketC,Dright-pointing angle bracket of definable in image, we have that inf{y−x:xset membership, variantC,yset membership, variantD}=0. The study of nonvaluational weakly o-minimal expansions of real closed fields carried out in [D. Macpherson, D. Marker, C. Steinhorn,Weakly o-minimal structures and real closed fields, Trans. Amer. Math. Soc. 352 5435–5483. MR1781273 (2001i:03079] suggests that this class is very close to the class of o-minimal expansions (...)
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  48.  79
    Propositional Logic of Supposition and Assertion.John T. Kearns - 1997 - Notre Dame Journal of Formal Logic 38 (3):325-349.
    This presentation of a system of propositional logic is a foundational paper for systems of illocutionary logic. The language contains the illocutionary force operators '' for assertion and ' ' for supposition. Sentences occurring in proofs of the deductive system must be prefixed with one of these operators, and rules of take account of the forces of the sentences. Two kinds of semantic conditions are investigated; familiar truth conditions and commitment conditions. Accepting a statement A or rejecting A commits a (...)
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  49.  24
    Effect of Business Education on Women and Men Students’ Attitudes on Corporate Responsibility in Society.Anna-Maija Lämsä, Meri Vehkaperä, Tuomas Puttonen & Hanna-Leena Pesonen - 2008 - Journal of Business Ethics 82 (1):45-58.
    This article describes a survey among Finnish business students to find answers to the following questions: How do business students define a well-run company? What are their attitudes on the responsibilities of business in society? Do the attitudes of women students differ from those of men? What is the influence of business education on these attitudes? Our sample comprised 217 students pursuing a master's degree in business studies at two Finnish universities. The results show that, as a whole, students valued (...)
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  50.  57
    Effect of business education on women and men students' attitudes on corporate responsibility in society.Anna-Maija Lämsä, Meri Vehkaperä, Tuomas Puttonen & Hanna-Leena Pesonen - 2008 - Journal of Business Ethics 82 (1):45 - 58.
    This article describes a survey among Finnish business students to find answers to the following questions: How do business students define a well-run company? What are their attitudes on the responsibilities of business in society? Do the attitudes of women students differ from those of men? What is the influence of business education on these attitudes? Our sample comprised 217 students pursuing a master’s degree in business studies at two Finnish universities. The results show that, as a whole, students valued (...)
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