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Louis Narens (ed.) (1985). Abstract Measurement Theory.

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  1.  5
    Divergent Mathematical Treatments in Utility Theory.Davide Rizza - 2016 - Erkenntnis 81 (6):1287-1303.
    In this paper I study how divergent mathematical treatments affect mathematical modelling, with a special focus on utility theory. In particular I examine recent work on the ranking of information states and the discounting of future utilities, in order to show how, by replacing the standard analytical treatment of the models involved with one based on the framework of Nonstandard Analysis, diametrically opposite results are obtained. In both cases, the choice between the standard and nonstandard treatment amounts to a selection (...)
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  2.  53
    Additive Representation of Separable Preferences Over Infinite Products.Marcus Pivato - 2014 - Theory and Decision 77 (1):31-83.
  3.  73
    On the Representation of Error.Jeffrey Helzner - 2012 - Synthese 186 (2):601-613.
    Though he maintained a significant interest in theoretical aspects of measurement, Henry E. Kyburg, Jr. was critical of the representational theory that in many ways has come to dominate discussions concerning the foundations of measurement. In particular, Kyburg (in Savage and Ehrlich (eds) Philosophical and foundational issues in measurement theory, 1992 ) asserts that the representational theory of measurement, as introduced in (Scott and Suppes, Journal of Symbolic Logic, 23:113–128, 1958 ) and developed in (Krantz et al., Foundations of measurment: (...)
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  4. Measurement-Theoretic Accounts of Propositional Attitudes.Robert J. Matthews - 2011 - Philosophy Compass 6 (11):828-841.
    In the late 1970s and early 1980s a number of philosophers, notably Churchland, Field, Stalnaker, Dennett, and Davidson, began to argue that propositional attitude predicates are a species of measure predicate, analogous in important ways to numerical predicates by which we attribute physical magnitudes . Other philosophers, including myself, have subsequently developed the idea in greater detail. In this paper I sketch the general outlines of measurement‐theoretic accounts of propositional attitudes, explaining in the briefest terms the basic idea of such (...)
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  5. Outline of a General Model of Measurement.Aldo Frigerio, Alessandro Giordani & Luca Mari - 2010 - Synthese 175 (2):123-149.
    Measurement is a process aimed at acquiring and codifying information about properties of empirical entities. In this paper we provide an interpretation of such a process comparing it with what is nowadays considered the standard measurement theory, i.e., representational theory of measurement. It is maintained here that this theory has its own merits but it is incomplete and too abstract, its main weakness being the scant attention reserved to the empirical side of measurement, i.e., to measurement systems and to the (...)
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  6.  73
    Ontological Aspects of Measurement.Holger Andreas - 2008 - Axiomathes 18 (3):379-394.
    The concept of measurement is fundamental to a whole range of different disciplines, including not only the natural and engineering sciences, but also laboratory medicine and certain branches of the social sciences. This being the case, the concept of measurement has a particular relevance to the development of top-level ontologies in the area of knowledge engineering. For this reason, the present paper is concerned with ontological aspects of measurement. We are searching for a list of concepts that are apt to (...)
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  7.  53
    Higher Values and Non-Archimedean Additivity.Erik Carlson - 2007 - Theoria 73 (1):3-27.
    Many philosophers have claimed that extensive or additive measurement is incompatible with the existence of "higher values", any amount of which is better than any amount of some other value. In this paper, it is shown that higher values can be incorporated in a non-standard model of extensive measurement, with values represented by sets of ordered pairs of real numbers, rather than by single reals. The suggested model is mathematically fairly simple, and it applies to structures including negative as well (...)
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  8.  82
    A Measurement Theoretic Account of Propositions.Eli Dresner - 2006 - Synthese 153 (1):1-22.
    In the first section of this paper I review Measurement Theoretic Semantics – an approach to formal semantics modeled after the application of numbers in measurement, e.g., of length. In the second section it is argued that the measurement theoretic approach to semantics yields a novel, useful conception of propositions. In the third section the measurement theoretic view of propositions is compared with major other accounts of propositional content.
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  9.  80
    Measurement in Carnap's Late Philosophy of Science.Vadim Batitsky - 2000 - Dialectica 54 (2):87–108.
  10.  52
    Incompatible Empirically Equivalent Theories: A Structural Explication.Thomas Mormann - 1995 - Synthese 103 (2):203 - 249.
    The thesis of the empirical underdetermination of theories (U-thesis) maintains that there are incompatible theories which are empirically equivalent. Whether this is an interesting thesis depends on how the term incompatible is understood. In this paper a structural explication is proposed. More precisely, the U-thesis is studied in the framework of the model theoretic or emantic approach according to which theories are not to be taken as linguistic entities, but rather as families of mathematical structures. Theories of similarity structures are (...)
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  11.  32
    Revealed Preference and Linear Utility.Stephen A. Clark - 1993 - Theory and Decision 34 (1):21-45.
  12.  27
    The Axioms and Algebra of Ambiguity.Peter C. Fishburn - 1993 - Theory and Decision 34 (2):119-137.
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  13.  71
    An Epistemological Use of Nonstandard Analysis to Answer Zeno's Objections Against Motion.William I. McLaughlin & Sylvia L. Miller - 1992 - Synthese 92 (3):371 - 384.
    Three of Zeno's objections to motion are answered by utilizing a version of nonstandard analysis, internal set theory, interpreted within an empirical context. Two of the objections are without force because they rely upon infinite sets, which always contain nonstandard real numbers. These numbers are devoid of numerical meaning, and thus one cannot render the judgment that an object is, in fact, located at a point in spacetime for which they would serve as coordinates. The third objection, an arrow never (...)
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  14. Structural Representation and Surrogative Reasoning.Chris Swoyer - 1991 - Synthese 87 (3):449 - 508.
    It is argued that a number of important, and seemingly disparate, types of representation are species of a single relation, here called structural representation, that can be described in detail and studied in a way that is of considerable philosophical interest. A structural representation depends on the existence of a common structure between a representation and that which it represents, and it is important because it allows us to reason directly about the representation in order to draw conclusions about the (...)
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  15.  16
    Is a Unified Psychophysical Law Realistic?Jüri Allik - 1989 - Behavioral and Brain Sciences 12 (2):267.
  16.  15
    Integration Psychophysics.Norman H. Anderson - 1989 - Behavioral and Brain Sciences 12 (2):268.
  17.  3
    The Fickle Measuring Instrument.John C. Baird - 1989 - Behavioral and Brain Sciences 12 (2):269.
  18.  2
    To Resolve Fechner Versus Stevens: Settle the Dispute Concerning “Ratios” and “Differences”.Michael H. Birnbaum - 1989 - Behavioral and Brain Sciences 12 (2):270.
  19.  2
    About Assumptions and Exponents.Robert M. Boynton - 1989 - Behavioral and Brain Sciences 12 (2):271.
  20.  12
    Unifying Psychophysics: And What If Things Are Not so Simple?Marc Brysbaert & Géry D'Ydewalle - 1989 - Behavioral and Brain Sciences 12 (2):271.
  21.  2
    Jnds and ROCs.Donald D. Dorfman - 1989 - Behavioral and Brain Sciences 12 (2):273.
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  22.  5
    Psychophysical Law: The Need for More Than One Level of Explanation.Hans-Georg Geissler - 1989 - Behavioral and Brain Sciences 12 (2):274.
  23.  1
    Are the Power Exponents of Magnitude Estimation Functions Too High?George A. Gescheider - 1989 - Behavioral and Brain Sciences 12 (2):275.
  24.  9
    Is Stevens's Power Law Valid?Rhona P. Hellman - 1989 - Behavioral and Brain Sciences 12 (2):276.
  25.  2
    Psychophysics: On the Possibility of Another Approach.Tarow Indow - 1989 - Behavioral and Brain Sciences 12 (2):276.
  26.  6
    Psychophysical Law: Keep It Simple.Lester E. Krueger - 1989 - Behavioral and Brain Sciences 12 (2):299.
  27.  35
    Reconciling Fechner and Stevens: Toward a Unified Psychophysical Law.Lester E. Krueger - 1989 - Behavioral and Brain Sciences 12 (2):251.
  28.  4
    Experimental Evidence for Fechner's and Stevens's Laws.Donald Laming - 1989 - Behavioral and Brain Sciences 12 (2):277.
  29.  9
    On Various Ways of Establishing a Psychophysical Function Empirically.Josef Lukas - 1989 - Behavioral and Brain Sciences 12 (2):281.
  30. Psychophysical Laws: A Call for Deregulation.Neil A. Macmillan, Louis D. Braida & Nathaniel I. Durlach - 1989 - Behavioral and Brain Sciences 12 (2):282.
  31.  2
    G and S Go Fishing.Lawrence E. Marks - 1989 - Behavioral and Brain Sciences 12 (2):282.
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  32. Rubber Scales and Partial Quantification.William J. McGill - 1989 - Behavioral and Brain Sciences 12 (2):283.
  33. Nineteenth-Century Attempts to Decide Between Psychophysical Laws.David J. Murray - 1989 - Behavioral and Brain Sciences 12 (2):284.
  34.  9
    The Fechner-Stevens Law is the Law of Transmission of Information.Kenneth H. Norwich - 1989 - Behavioral and Brain Sciences 12 (2):285.
  35.  5
    Psychophysical Law: Some Doubts About Unification.Scott Parker - 1989 - Behavioral and Brain Sciences 12 (2):286.
  36.  2
    Uncertain Size of Exponent When Judging Without Familiar Units.E. C. Poulton - 1989 - Behavioral and Brain Sciences 12 (2):286.
  37.  2
    Magnitude Scales, Category Scales, and Number Scales.Stanley J. Rule - 1989 - Behavioral and Brain Sciences 12 (2):288.
  38.  1
    Conjuring Fechner's Spirit.Eckart Scheerer - 1989 - Behavioral and Brain Sciences 12 (2):288.
  39.  1
    Is There Really Only One Representation for Stimulus Intensity?Bruce Schneider - 1989 - Behavioral and Brain Sciences 12 (2):290.
  40.  8
    On the Origin and Function of the Psychophysical Transformation.Roger N. Shepard - 1989 - Behavioral and Brain Sciences 12 (2):290.
  41.  1
    Unified Psychophysics: Wouldn't It Be Loverly….Robert Teghtsoonian & Martha Teghtsoonian - 1989 - Behavioral and Brain Sciences 12 (2):292.
  42.  7
    Sensory Scaling: Unanswered Questions.Michel Treisman - 1989 - Behavioral and Brain Sciences 12 (2):293.
  43.  2
    Fantasies in Psychophysical Scaling: Do Category Estimates Reflect the True Psychophysical Scale?Mark Wagner - 1989 - Behavioral and Brain Sciences 12 (2):294.
  44. Option 4: Forswear the Psychophysical Law.Lawrence M. Ward - 1989 - Behavioral and Brain Sciences 12 (2):295.
  45.  2
    Sensory Magnitudes and Their Physical Correlates.Richard M. Warren - 1989 - Behavioral and Brain Sciences 12 (2):296.
  46. Unity and Diversity of Neurelectric and Psychophysical Functions: The Invariance Question.Gerald S. Wasserman & Lolin T. Wang-Bennett - 1989 - Behavioral and Brain Sciences 12 (2):297.
  47.  15
    Psychophysics and Metaphysics.David J. Weiss - 1989 - Behavioral and Brain Sciences 12 (2):298.
  48. Extensive Measurement and Ratio Functions.Brent Mundy - 1988 - Synthese 75 (1):1 - 23.
    Extensive measurement theory is developed in terms of theratio of two elements of an arbitrary (not necessarily Archimedean) extensive structure; thisextensive ratio space is a special case of a more general structure called aratio space. Ratio spaces possess a natural family of numerical scales (r-scales) which are definable in non-representational terms; ther-scales for an extensive ratio space thus constitute a family of numerical scales (extensive r-scales) for extensive structures which are defined in a non-representational manner. This is interpreted as involving (...)
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  49.  45
    Faithful Representation, Physical Extensive Measurement Theory and Archimedean Axioms.Brent Mundy - 1987 - Synthese 70 (3):373 - 400.
    The formal methods of the representational theory of measurement (RTM) are applied to the extensive scales of physical science, with some modifications of interpretation and of formalism. The interpretative modification is in the direction of theoretical realism rather than the narrow empiricism which is characteristic of RTM. The formal issues concern the formal representational conditions which extensive scales should be assumed to satisfy; I argue in the physical case for conditions related to weak rather than strong extensive measurement, in the (...)
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