Results for 'Semantics Mathematical models'

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  1.  8
    The Elements of Mathematical Semantics.M. V. Aldridge - 1992 - Mouton De Gruyter.
    Chapter Some topics in semantics Aims of this study The central preoccupation of this study is semantic. It is intended as a modest contribution to the ...
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  2.  72
    Mathematical Models: Questions of Trustworthiness.Adam Morton - 1993 - British Journal for the Philosophy of Science 44 (4):659-674.
    I argue that the contrast between models and theories is important for public policy issues. I focus especially on the way a mathematical model explains just one aspect of the data.
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  3. The Explanatory Force of Dynamical and Mathematical Models in Neuroscience: A Mechanistic Perspective.David Michael Kaplan & Carl F. Craver - 2011 - Philosophy of Science 78 (4):601-627.
    We argue that dynamical and mathematical models in systems and cognitive neuro- science explain (rather than redescribe) a phenomenon only if there is a plausible mapping between elements in the model and elements in the mechanism for the phe- nomenon. We demonstrate how this model-to-mechanism-mapping constraint, when satisfied, endows a model with explanatory force with respect to the phenomenon to be explained. Several paradigmatic models including the Haken-Kelso-Bunz model of bimanual coordination and the difference-of-Gaussians model of visual (...)
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  4. Syntax, Semantics, and the Problem of the Identity of Mathematical Objects.Gian-Carlo Rota, David H. Sharp & Robert Sokolowski - 1988 - Philosophy of Science 55 (3):376-386.
    A plurality of axiomatic systems can be interpreted as referring to one and the same mathematical object. In this paper we examine the relationship between axiomatic systems and their models, the relationships among the various axiomatic systems that refer to the same model, and the role of an intelligent user of an axiomatic system. We ask whether these relationships and this role can themselves be formalized.
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  5.  5
    On the Semantics of Mathematical Statements/Sobre a Semântica Dos Enunciados Matemáticos.Guillermo Haddock - 2007 - Manuscrito 30 (2):317-340.
    Husserl developed – independently of Frege – a semantics of sense and reference. There are, however, some important differences, specially with respect to the references of statements. According to Husserl, an assertive sentence refers to a state of affairs, which was its basis what he called a situation of affairs. Situations of affairs could also be considered as an alternative referent for statements on their own right, although for Husserl they were simply a sort of referential basis. Both Husserlian (...)
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  6.  5
    An Investigation of Some Mathematical Models for Learning.Curt F. Fey - 1961 - Journal of Experimental Psychology 61 (6):455.
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  7.  31
    The Organic Codes: An Introduction to Semantic Biology.Marcello Barbieri - 2003 - Cambridge University Press.
    The genetic code appeared on Earth with the first cells. The codes of cultural evolution arrived almost four billion years later. These are the only codes that are recognized by modern biology. In this book, however, Marcello Barbieri explains that there are many more organic codes in nature, and their appearance not only took place throughout the history of life but marked the major steps of that history. A code establishes a correspondence between two independent 'worlds', and the codemaker is (...)
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  8.  3
    Derivational Robustness, Credible Substitute Systems and Mathematical Economic Models: The Case of Stability Analysis in Walrasian General Equilibrium Theory.D. Wade Hands - 2016 - European Journal for Philosophy of Science 6 (1):31-53.
    This paper supports the literature which argues that derivational robustness can have epistemic import in highly idealized economic models. The defense is based on a particular example from mathematical economic theory, the dynamic Walrasian general equilibrium model. It is argued that derivational robustness first increased and later decreased the credibility of the Walrasian model. The example demonstrates that derivational robustness correctly describes the practices of a particular group of influential economic theorists and provides support for the arguments of (...)
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  9. Analog-Based Modelling of Meaning Representations in English.Waldemar Skrzypczak - 2006 - Nicolaus Copernicus University Press.
     
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  10.  48
    (Mis)Interpreting Mathematical Models: Drift as a Physical Process.Michael R. Dietrich, Robert A. Skipper Jr & Roberta L. Millstein - 2009 - Philosophy & Theory in Biology 1 (20130604):e002.
    Recently, a number of philosophers of biology have endorsed views about random drift that, we will argue, rest on an implicit assumption that the meaning of concepts such as drift can be understood through an examination of the mathematical models in which drift appears. They also seem to implicitly assume that ontological questions about the causality of terms appearing in the models can be gleaned from the models alone. We will question these general assumptions by showing (...)
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  11.  18
    From Passive Diffusion to Active Cellular Migration in Mathematical Models of Tumour Invasion.Philippe Tracqui - 1995 - Acta Biotheoretica 43 (4):443-464.
    Mathematical models of tumour invasion appear as interesting tools for connecting the information extracted from medical imaging techniques and the large amount of data collected at the cellular and molecular levels. Most of the recent studies have used stochastic models of cell translocation for the comparison of computer simulations with histological solid tumour sections in order to discriminate and characterise expansive growth and active cell movements during host tissue invasion. This paper describes how a deterministic approach based (...)
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  12.  68
    Mathematical Models in Newton's Principia: A New View of the 'Newtonian Style'.Steffen Ducheyne - 2005 - International Studies in the Philosophy of Science 19 (1):1 – 19.
    In this essay I argue against I. Bernard Cohen's influential account of Newton's methodology in the Principia: the 'Newtonian Style'. The crux of Cohen's account is the successive adaptation of 'mental constructs' through comparisons with nature. In Cohen's view there is a direct dynamic between the mental constructs and physical systems. I argue that his account is essentially hypothetical-deductive, which is at odds with Newton's rejection of the hypothetical-deductive method. An adequate account of Newton's methodology needs to show how Newton's (...)
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  13.  32
    Mathematical Models of Foreign Policy Decision-Making: Compensatory Vs. Noncompensatory.Alex Mintz, Nehemia Geva & Karl Derouen - 1994 - Synthese 100 (3):441 - 460.
    There are presently two leading foreign policy decision-making paradigms in vogue. The first is based on the classical or rational model originally posited by von Neumann and Morgenstern to explain microeconomic decisions. The second is based on the cybernetic perspective whose groundwork was laid by Herbert Simon in his early research on bounded rationality. In this paper we introduce a third perspective — thepoliheuristic theory of decision-making — as an alternative to the rational actor and cybernetic paradigms in international relations. (...)
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  14.  9
    Mathematical Models of Foreign Policy Decision-Making: Compensatory Vs. Noncompensatory.Alex Mintz, Nehemia Geva & Karl Derouen Jr - 1994 - Synthese 100 (3):441 - 460.
    There are presently two leading foreign policy decision-making paradigms in vogue. The first is based on the classical or rational model originally posited by von Neumann and Morgenstern to explain microeconomic decisions. The second is based on the cybernetic perspective whose groundwork was laid by Herbert Simon in his early research on bounded rationality. In this paper we introduce a third perspective -- the poliheuristic theory of decision-making -- as an alternative to the rational actor and cybernetic paradigms in international (...)
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  15.  6
    On Witnessed Models in Fuzzy Logic III - Witnessed Gödel Logics.Petr Hájek - 2010 - Mathematical Logic Quarterly 56 (2):171-174.
    Gödel logics with truth sets being countable closed subsets of the unit real interval containing 0 and 1 are studied under their usual semantics and under the witnessed semantics, the latter admitting only models in which the truth value of each universally quantified formula is the minimum of truth values of its instances and dually for existential quantification and maximum. An infinite system of such truth sets is constructed such that under the usual semantics the corresponding (...)
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  16.  13
    Causality, Mathematical Models and Statistical Association: Dismantling Evidence‐Based Medicine.R. Paul Thompson - 2010 - Journal of Evaluation in Clinical Practice 16 (2):267-275.
  17.  64
    Mathematical Models and Reality: A Constructivist Perspective. [REVIEW]Christian Hennig - 2010 - Foundations of Science 15 (1):29-48.
  18.  32
    Partiality and Adjointness in Modal Logic.Wesley H. Holliday - 2014 - In Rajeev Gore, Barteld Kooi & Agi Kurucz (eds.), Advances in Modal Logic, Vol. 10. College Publications. pp. 313-332.
    Following a proposal of Humberstone, this paper studies a semantics for modal logic based on partial “possibilities” rather than total “worlds.” There are a number of reasons, philosophical and mathematical, to find this alternative semantics attractive. Here we focus on the construction of possibility models with a finitary flavor. Our main completeness result shows that for a number of standard modal logics, we can build a canonical possibility model, wherein every logically consistent formula is satisfied, by (...)
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  19.  30
    Model Organisms and Mathematical and Synthetic Models to Explore Gene Regulation Mechanisms.Andrea Loettgers - 2007 - Biological Theory 2 (2):134-142.
    Gene regulatory networks are intensively studied in biology. One of the main aims of these studies is to gain an understanding of how the structure of genetic networks relates to specific functions such as chemotaxis and the circadian clock. Scientists have examined this question by using model organisms such as Drosophila and mathematical models. In the last years, synthetic models—engineered genetic networks—have become more and more important in the exploration of gene regulation. What is the potential of (...)
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  20.  10
    General Models and Entailment Semantics for Independence Logic.Pietro Galliani - 2013 - Notre Dame Journal of Formal Logic 54 (2):253-275.
    We develop a semantics for independence logic with respect to what we will call general models. We then introduce a simpler entailment semantics for the same logic, and we reduce the validity problem in the former to the validity problem in the latter. Then we build a proof system for independence logic and prove its soundness and completeness with respect to entailment semantics.
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  21. An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof.P. B. Andrews - 2002 - Kluwer Academic Publishers.
    This introduction to mathematical logic starts with propositional calculus and first-order logic. Topics covered include syntax, semantics, soundness, completeness, independence, normal forms, vertical paths through negation normal formulas, compactness, Smullyan's Unifying Principle, natural deduction, cut-elimination, semantic tableaux, Skolemization, Herbrand's Theorem, unification, duality, interpolation, and definability. The last three chapters of the book provide an introduction to type theory (higher-order logic). It is shown how various mathematical concepts can be formalized in this very expressive formal language. This expressive (...)
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  22. Mathematical Models of Social Interaction.Anatol Rapoport - 1963 - In D. Luce (ed.), Handbook of Mathematical Psychology. John Wiley & Sons.. pp. 2--493.
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  23.  2
    Defining Ecology: Ecological Theories, Mathematical Models, and Applied Biology in the 1960s and 1970s.Paolo Palladino - 1991 - Journal of the History of Biology 24 (2):223 - 243.
    Ever since the early decades of this century, there have emerged a number of competing schools of ecology that have attempted to weave the concepts underlying natural resource management and natural-historical traditions into a formal theoretical framework. It was widely believed that the discovery of the fundamental mechanisms underlying ecological phenomena would allow ecologists to articulate mathematically rigorous statements whose validity was not predicated on contingent factors. The formulation of such statements would elevate ecology to the standing of a rigorous (...)
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  24. Mathematical Realism and Conceptual Semantics.Luke Jerzykiewicz - 2012 - In Oleg Prosorov & Vladimir Orevkov (eds.), Philosophy, Mathematics, Linguistics: Aspects of Interaction. Euler International Mathematical Institute.
    The dominant approach to analyzing the meaning of natural language sentences that express mathematical knowl- edge relies on a referential, formal semantics. Below, I discuss an argument against this approach and in favour of an internalist, conceptual, intensional alternative. The proposed shift in analytic method offers several benefits, including a novel perspective on what is required to track mathematical content, and hence on the Benacerraf dilemma. The new perspective also promises to facilitate discussion between philosophers of mathematics (...)
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  25.  9
    Neuromimetic Semantics: Coordination, Quantification, and Collective Predicates.Harry Howard - 2004 - Elsevier.
    This book attempts to marry truth-conditional semantics with cognitive linguistics in the church of computational neuroscience. To this end, it examines the truth-conditional meanings of coordinators, quantifiers, and collective predicates as neurophysiological phenomena that are amenable to a neurocomputational analysis. Drawing inspiration from work on visual processing, and especially the simple/complex cell distinction in early vision (V1), we claim that a similar two-layer architecture is sufficient to learn the truth-conditional meanings of the logical coordinators and logical quantifiers. As a (...)
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  26.  65
    Mathematical Models of Dialogue.C. L. Hamblin - 1971 - Theoria 37 (2):130-155.
  27.  34
    Mathematical Models of Biological Patterns: Lessons From Hamilton's Selfish Herd.Christopher Pincock - 2012 - Biology and Philosophy 27 (4):481-496.
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  28. United States Low Birth Weight Since 1950: Distributions, Impacts, Causes, Costs, Patterns, Mathematical Models, Prediction and Prevention (I).Linda B. Greaver, G. Wei, Stephen M. Marson, Cynthia H. Herndon & James Rogers - 2006 - Inquiry 7 (2):131-144.
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  29.  5
    Getting Abstract Mathematical Models in Touch with Nature.Andrea Loettgers - 2007 - Science in Context 20 (1):97.
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  30.  41
    Using Mathematical Models of Language Experimentally.Timothy J. O'Donnell, Marc D. Hauser & W. Tecumseh Fitch - 2005 - Trends in Cognitive Sciences 9 (6):284-289.
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  31. Mathematical Models of Cognitive Space and Time.Joseph Goguen - 2006 - In D. Andler, M. Okada & I. Watanabe (eds.), Reasoning and Cognition. pp. 125--128.
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  32.  25
    Progressions in Mathematical Models of International Conflict.John V. Gillespie & Dina A. Zinnes - 1975 - Synthese 31 (2):289 - 321.
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  33.  6
    Mathematical Models for Explaining the Emergence of Specialization in Performing Tasks.Daniel Solow & Joesph Szmerekovsky - 2004 - Complexity 10 (1):37-48.
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  34.  4
    Beyond Metaphor: Mathematical Models in Economics as Empirical Research.Daniel Breslau & Yuval Yonay - 1999 - Science in Context 12 (2).
  35. Decision Support for Internet Users On Research Progress and Challenge Toward Building Mathematical Models.Kazunori Fujimoto, Mitsunobu Shimazu & Yutaka Yamamoto - 2003 - Transactions of the Japanese Society for Artificial Intelligence 18:36-44.
  36.  50
    Mathematical Models of the World.David Berlinski - 1975 - Synthese 31 (2):211 - 227.
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  37.  10
    Mathematical Models, Explanation, Laws, and Evolutionary Biology.Mehmet Elgin - 2010 - History and Philosophy of the Life Sciences 32 (4).
  38.  25
    The Validity of Unique Mathematical Models in Science.Eugen Altschul & Erwin Biser - 1948 - Philosophy of Science 15 (1):11-24.
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  39.  6
    Mathematical Models for Gene–Culture Coevolution.Joseph S. Alper & Robert V. Lange - 1984 - Behavioral and Brain Sciences 7 (4):739.
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  40.  6
    Mathematical Models of HIV Pathogenesis and Treatment.Dominik Wodarz & Martin A. Nowak - 2002 - Bioessays 24 (12):1178-1187.
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  41.  11
    On the Organizational Base of Language with Special Reference to Mathematical Models.Frank M. Doan - 1960 - Philosophy and Phenomenological Research 21 (2):239-247.
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  42. Self Organization and Evolution in Mathematical Models.M. Thieullen - 2009 - In Maryvonne Gérin & Marie-Christine Maurel (eds.), Origins of Life: Self-Organization and/or Biological Evolution? Edp Sciences. pp. 37--46.
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  43.  11
    Situation Semantics and Models of Analogy.David H. Helman - 1986 - Philosophical Studies 49 (2):231 - 244.
    The preceding theory represents, I believe, a large improvement over conceptual graph theories of analogy. In particular, it is possible for analogical reasoning to be flexible or ‘creative’ on this approach, an aspect of analogy that is not accounted for in conceptual graph theories. I also believe that searching by constraint violations is a more reasonable way to organize memory search than to look for properties of conceptual hierarchies. Proof of this last point, however, awaits an more detailed classification of (...)
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  44.  3
    Temporal Decomposition: A Strategy for Building Mathematical Models of Complex Metabolic Systems.Josephine Donaghy - 2014 - Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences 48:1-11.
  45.  1
    The Alternative Mathematical Models of the World.Salahaddin Khalilov - 2014 - Philosophy Study 4 (5).
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  46.  2
    Mental, Physical, and Mathematical Models in the Teaching and Learning of Physics.Ileana Maria Greca & Marco Antonio Moreira - 2002 - Science Education 86 (1):106-121.
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  47.  2
    Mathematical Models in Biology.Jacques Ricard & Käty Ricard - 1997 - In Evandro Agazzi & György Darvas (eds.), Philosophy of Mathematics Today. Kluwer Academic Publishers. pp. 299--304.
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  48.  2
    The Use of Mathematical Models in Perceptual Theory.Richard M. Warren - 1989 - Behavioral and Brain Sciences 12 (4):776.
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  49. Some Views on Mathematical Models and Measurement Theory.C. H. Coombs, H. Raiffa & R. M. Thrall - 1954 - Psychological Review 61 (2):132-144.
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  50. Leibnizian Expression and its Mathematical Models.Valerie Debuiche - 2013 - Journal of the History of Philosophy 51 (3):409-439.
     
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