Results for 'Representational Measurement Theory'

999 found
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  1.  64
    Representational Measurement Theory.Patrick Suppes - 2002 - In J. Wixted & H. Pashler (eds.), Stevens' Handbook of Experimental Psychology. Wiley.
  2. The Analytic Versus Representational Theory of Measurement: A Philosophy of Science Perspective.Zoltan Domotor & Vadim Batitsky - 2008 - Measurement Science Review 8 (6):129-146.
    In this paper we motivate and develop the analytic theory of measurement, in which autonomously specified algebras of quantities (together with the resources of mathematical analysis) are used as a unified mathematical framework for modeling (a) the time-dependent behavior of natural systems, (b) interactions between natural systems and measuring instruments, (c) error and uncertainty in measurement, and (d) the formal propositional language for describing and reasoning about measurement results. We also discuss how a celebrated theorem in (...)
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  3.  93
    The Origins of the Representational Theory of Measurement: Helmholtz, Hölder, and Russell.Joel Michell - 1993 - Studies in History and Philosophy of Science Part A 24 (2):185-206.
    It has become customary to locate the origins of modern measurement theory in the works of Helmholtz and Hölder . If by ‘modern measurement theory’ is meant the representational theory, then this may not be an accurate assessment. Both Helmholtz and Hölder present theories of measurement which are closely related to the classical conception of measurement. Indeed, Hölder can be interpreted as bringing this conception to fulfilment in a synthesis of Euclid, Newton, (...)
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  4.  6
    The Origins of the Representational Theory of Measurement: Helmholtz, Hölder, and Russell.Joel Michell - 1993 - Studies in History and Philosophy of Science Part A 24 (2):185-206.
    It has become customary to locate the origins of modern measurement theory in the works of Helmholtz and Hölder. If by ‘modern measurement theory’ is meant the representational theory, then this may not be an accurate assessment. Both Helmholtz and Hölder present theories of measurement which are closely related to the classical conception of measurement. Indeed, Hölder can be interpreted as bringing this conception to fulfilment in a synthesis of Euclid, Newton, and (...)
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  5.  15
    Psychometrics Versus Representational Theory of Measurement.Elina Vessonen - 2017 - Philosophy of the Social Sciences 47 (4-5):330-350.
    Erik Angner has argued that simultaneous endorsement of the representational theory of measurement and psychometrics leads to inconsistency. His claim rests on an implicit assumption: RTM and psychometrics are full-fledged approaches to measurement. I argue that RTM and psychometrics are only partial approaches that deal with different aspects of measurement, and that therefore simultaneous endorsement of the two is not inconsistent. The argument has implications for the improvement of measurement practices.
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  6.  50
    A New Interpretation of the Representational Theory of Measurement.Conrad Heilmann - 2015 - Philosophy of Science 82 (5):787-797.
    On the received view, the Representational Theory of Measurement reduces measurement to the numerical representation of empirical relations. This account of measurement has been widely criticized. In this article, I provide a new interpretation of the Representational Theory of Measurement that sidesteps these debates. I propose to view the Representational Theory of Measurement as a library of theorems that investigate the numerical representability of qualitative relations. Such theorems are useful (...)
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  7.  7
    The Complementarity of Psychometrics and the Representational Theory of Measurement.Elina Vessonen - forthcoming - British Journal for the Philosophy of Science.
    Psychometrics and the representational theory of measurement are widely used in social scientific measurement. They are currently pursued largely in isolation from one another. I argue that despite their separation in practice, RTM and psychometrics are complementary approaches, because they can contribute in complementary ways to the establishment of what I argue is a crucial measurement property, namely, Representational Interpretability. Because RTM and psychometrics are complementary in the establishment of Representational Interpretability, the current (...)
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  8. Measurement Theory.Fred S. Roberts (ed.) - 1985 - Cambridge University Press.
    This book provides an introduction to measurement theory for non-specialists and puts measurement in the social and behavioural sciences on a firm mathematical foundation. Results are applied to such topics as measurement of utility, psychophysical scaling and decision-making about pollution, energy, transportation and health. The results and questions presented should be of interest to both students and practising mathematicians since the author sets forth an area of mathematics unfamiliar to most mathematicians, but which has many potentially (...)
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  9.  14
    Helmholtz, Kaila, and the Representational Theory of Measurement.Matthias Neuber - 2018 - Hopos: The Journal of the International Society for the History of Philosophy of Science 8 (2):409-431.
  10. Measurement Theory, Nomological Machine And Measurement Uncertainties (In Classical Physics).Ave Mets - 2012 - Studia Philosophica Estonica 5 (2):167-186.
    Measurement is said to be the basis of exact sciences as the process of assigning numbers to matter (things or their attributes), thus making it possible to apply the mathematically formulated laws of nature to the empirical world. Mathematics and empiria are best accorded to each other in laboratory experiments which function as what Nancy Cartwright calls nomological machine: an arrangement generating (mathematical) regularities. On the basis of accounts of measurement errors and uncertainties, I will argue for two (...)
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  11.  42
    Beyond the Representational Viewpoint: A New Formalization of Measurement.Luca Mari - 2000 - Measurement 27 (2):71-84.
    The paper introduces and formally defines a functional concept of a measuring system, on this basis characterizing the measurement as an evaluation performed by means of a calibrated measuring system. The distinction between exact and uncertain measurement is formalized in terms of the properties of the traceability chain joining the measuring system to the primary standard. The consequence is drawn that uncertain measurements lose the property of relation-preservation, on which the very concept of measurement is founded according (...)
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  12. 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 (...), i.e., to measurement systems and to the ways in which the interactions of such systems with the entities under measurement provide a structure to an empirical domain. In particular it is claimed that (1) it is on the ground of the interaction with a measurement system that a partition can be induced on the domain of entities under measurement and that relations among such entities can be established, and that (2) it is the usage of measurement systems that guarantees a degree of objectivity and intersubjectivity to measurement results. As modeled in this paper, measurement systems link the abstract theory of measuring, as developed in representational terms, and the practice of measuring, as coded in standard documents such as the International Vocabulary of Metrology. (shrink)
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  13.  7
    Measurement Theory and Utility Analysis in Suppes’ Early Work, 1951–1958.Ivan Moscati - 2016 - Journal of Economic Methodology 23 (3):252-267.
    The paper reconstructs the connections between the evolution of Patrick Suppes’ measurement theory from 1951 to 1958 and the research in utility analysis he conducted between 1953 and 1957 within the Stanford Value Theory Project. In particular, the paper shows that Suppes’ superseding of the classical understanding of measurement, his endorsement of the representational view of measurement, and his conceiving of an axiomatic version of the latter were prompted by his research in utility analysis.
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  14.  56
    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 (...)
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  15.  26
    A Relational Theory of Measurement: Traceability as a Solution to the Non-Transitivity of Measurement Results.Luca Mari & Sergio Sartori - 2007 - Measurement 40 (2):233-242.
    This paper discusses a relational modeling of measurement which is complementary to the standard representational point of view: by focusing on the experimental character of the measurand-related comparison between objects, this modeling emphasizes the role of the measuring systems as the devices which operatively perform such a comparison. The non-idealities of the operation are formalized in terms of non-transitivity of the substitutability relation between measured objects, due to the uncertainty on the measurand value remaining after the measurement. (...)
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  16.  24
    Decision Theory, Propositional Measurement, and Unified Interpretation.Eli Dresner - 2014 - Mind 123 (491):707-732.
    The content of our propositional attitudes is often characterized by assigning them abstract entities, namely propositions. In decision theory the attitudes are also assigned numerical measures. It may thus be asked how assignments of these two types are related to each other — both metaphysically and structurally. In the first section of this paper I argue for the importance of this question and I review Davidson’s unified account of decision theory and radical interpretation as a failed attempt to (...)
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  17.  78
    Bertrand Russell's 1897 Critique of the Traditional Theory of Measurement.Joel Michell - 1997 - Synthese 110 (2):257-276.
    The transition from the traditional to the representational theory of measurement around the turn of the century was accompanied by little sustained criticism of the former. The most forceful critique was Bertrand Russell''s 1897 Mind paper, On the relations of number and quantity. The traditional theory has it that real numbers unfold from the concept of continuous quantity. Russell''s critique identified two serious problems for this theory: (1) can magnitudes of a continuous quantity be defined (...)
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  18. Abstract Measurement Theory.Louis Narens (ed.) - 1985 - MIT Press.
    The need for quantitative measurement represents a unifying bond that links all the physical, biological, and social sciences. Measurements of such disparate phenomena as subatomic masses, uncertainty, information, and human values share common features whose explication is central to the achievement of foundational work in any particular mathematical science as well as for the development of a coherent philosophy of science. This book presents a theory of measurement, one that is "abstract" in that it is concerned with (...)
     
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  19.  35
    Theory and Measurement.Henry E. Kyburg (ed.) - 1984 - Cambridge University Press.
    Measurement is fundamental to all the sciences, the behavioural and social as well as the physical and in the latter its results provide our paradigms of 'objective fact'. But the basis and justification of measurement is not well understood and is often simply taken for granted. Henry Kyburg Jr proposes here an original, carefully worked out theory of the foundations of measurement, to show how quantities can be defined, why certain mathematical structures are appropriate to them (...)
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  20.  90
    Basic Measurement Theory.Patrick Suppes & Joseph Zinnes - 1963 - In D. Luce (ed.), Journal of Symbolic Logic. John Wiley & Sons.. pp. 1--1.
  21. Indirect Representation and the Self-Representational Theory of Consciousness.Ben Phillips - 2014 - Philosophical Studies 167 (2):273-290.
    According to Uriah Kriegel’s self-representational theory of consciousness, mental state M is conscious just in case it is a complex with suitably integrated proper parts, M 1 and M 2, such that M 1 is a higher-order representation of lower-order representation M 2. Kriegel claims that M thereby “indirectly” represents itself, and he attempts to motivate this claim by appealing to what he regards as intuitive cases of indirect perceptual and pictorial representation. For example, Kriegel claims that it’s (...)
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  22.  81
    Quantum Theory Without Measurement or State Reduction Problems.Alan Macdonald - manuscript
    There is a consistent and simple interpretation of the quantum theory of isolated systems. The interpretation suffers no measurement problem and provides a quantum explanation of state reduction, which is usually postulated. Quantum entanglement plays an essential role in the construction of the interpretation.
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  23.  11
    Sartre: A Self-Representational Theory of Consciousness.Esteban Diego Ortiz Medina - 2018 - Humanities Journal of Valparaiso 11:115-137.
    The aim of this paper is to propose a self-representational theory of phenomenal consciousness from Sartre. For it I will clarify and show the closeness of two ideas. The first of these is the so-called self-representational theory of consciousness, which holds that a mental state is conscious if and only if it represents itself in the right way. The second of these are the descriptions of consciousness from Sartre, which say that all consciousness is self-consciousness of (...)
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  24. Protective Measurement and the de Broglie-Bohm Theory.Shan Gao - manuscript
    We investigate the implications of protective measurement for de Broglie-Bohm theory, mainly focusing on the interpretation of the wave function. It has been argued that the de Broglie-Bohm theory gives the same predictions as quantum mechanics by means of quantum equilibrium hypothesis. However, this equivalence is based on the premise that the wave function, regarded as a Ψ-field, has no mass and charge density distributions. But this premise turns out to be wrong according to protective measurement; (...)
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  25.  24
    Larc: A State Reduction Theory of Quantum Measurement[REVIEW]Michael Simpson - 2011 - Foundations of Physics 41 (10):1648-1663.
    This proposes a new theory of Quantum measurement; a state reduction theory in which reduction is to the elements of the number operator basis of a system, triggered by the occurrence of annihilation or creation (or lowering or raising) operators in the time evolution of a system. It is from these operator types that the acronym ‘LARC’ is derived. Reduction does not occur immediately after the trigger event; it occurs at some later time with probability P t (...)
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  26.  3
    Sartre: A Self-Representational Theory of Consciousness.Esteban Diego Ortiz Medina - 2018 - Journal of Humanities of Valparaiso 11:115-137.
    The aim of this paper is to propose a self-representational theory of phenomenal consciousness from Sartre. For it I will clarify and show the closeness of two ideas. The first of these is the so-called self-representational theory of consciousness, which holds that a mental state is conscious if and only if it represents itself in the right way. The second of these are the descriptions of consciousness from Sartre, which say that all consciousness is self-consciousness of (...)
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  27.  36
    Measurement and the Verificationist Theory/Observation Distinction.Miklavž Vospernik - 2004 - Acta Analytica 19 (33):95-117.
    In the following article, we propose to show that following the general verificationist epistemic programme (its demand that the truth of our judgments be verifiable), the analysis of measurement on the one hand, and the classical positivist analysis of common-sense observation on the other, do not lead to same conclusions. This is especially important, because the differences in conclusions concern the positivist theory/observation distinction. In particular, the analysis of measurement does not fully support this distinction. This fact (...)
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  28.  47
    Discovery of Empirical Theories Based on the Measurement Theory.E. E. Vityaev & B. Y. Kovalerchuk - 2004 - Minds and Machines 14 (4):551-573.
    The purpose of this work is to analyse the cognitive process of the domain theories in terms of the measurement theory to develop a computational machine learning approach for implementing it. As a result, the relational data mining approach, the authors proposed in the preceding books, was improved. We present the approach as an implementation of the cognitive process as the measurement theory perceived. We analyse the cognitive process in the first part of the paper and (...)
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  29.  96
    Measurement Theory in Linguistics.Galit Weidman Sassoon - 2010 - Synthese 174 (1):151-180.
    This paper presents a novel semantic analysis of unit names (like pound and meter) and gradable adjectives (like tall, short and happy), inspired by measurement theory (Krantz et al. In Foundations of measurement: Additive and Polynomial Representations, 1971). Based on measurement theory’s four-way typology of measures, I claim that different adjectives are associated with different types of measures whose special characteristics, together with features of the relations denoted by unit names, explain the puzzling limited distribution (...)
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  30.  36
    Completely Positive Mappings in Quantum Dynamics and Measurement Theory.Paul Busch & Pekka J. Lahti - 1990 - Foundations of Physics 20 (12):1429-1439.
    The role of completely positive mappings in quantum dynamics and measurement theory is reanalyzed in light of the possibility of a generalized dynamics.
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  31.  7
    A Hundred Years Of Numbers. An Historical Introduction To Measurement Theory 1887–1990: Part I: The Formation Period. Two Lines of Research: Axiomatics and Real Morphisms, Scales and Invariance. [REVIEW]José Díez - 1997 - Studies in History and Philosophy of Science Part A 28 (1):167-185.
    The aim of this paper is to reconstruct the historical evolution of the so-called Measurement Theory. MT has two clearly different periods, the formation period and the mature theory, whose borderline coincides with the publication in 1951 of Suppes' foundational work, ‘A set of independent axioms for extensive quantities’. In this paper two previous research traditions on the foundations of measurement, developed during the formation period, come together in the appropriate way. These traditions correspond, on the (...)
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  32.  36
    Nondemolition Principle of Quantum Measurement Theory.V. P. Belavkin - 1994 - Foundations of Physics 24 (5):685-714.
    We give an explicit axiomatic formulation of the quantum measurement theory which is free of the projection postulate. It is based on the generalized nondemolition principle applicable also to the unsharp, continuous-spectrum and continuous-in-time observations. The “collapsed state-vector” after the “objectification” is simply treated as a random vector of the a posterioristate given by the quantum filtering, i.e., the conditioning of the a prioriinduced state on the corresponding reduced algebra. The nonlinear phenomenological equation of “continuous spontaneous localization” has (...)
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  33.  9
    Subjectively Expected Utility Theory and Subjects' Probability Estimates: Use of Measurement-Free Techniques.Thomas S. Wallsten - 1971 - Journal of Experimental Psychology 88 (1):31.
  34.  17
    Suppes’s Outlines of an Empirical Measurement Theory.Marcel Boumans - 2016 - Journal of Economic Methodology 23 (3):305-315.
    According to Suppes, measurement theory, like any scientific theory, should consist of two parts, a set-theoretical defined structure and the empirical interpretation of that structure. An empirical interpretation means the specification – ‘coordinating definitions’ – of a ‘hierarchy of models’ between the theory and the experimental results. But in the case of measurement theory, he defined the relationship between numerical structure and the empirical structure specifically in terms of homomorphism. This is rather a highly (...)
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  35.  18
    Measurement Theory for Physics.John F. Cyranski - 1979 - Foundations of Physics 9 (9-10):641-671.
    A highly abstracted theory of measurement is synthesized from classical measurement theory, fuzzy set theory, generalized information theory, and predicate calculus. The theory does not require specific truth value concepts, nor does it specify what subsets of the reals can be observed, thus avoiding the usual fundamental difficulties. Problems such as the definition of systems, the significance of observations, numerical scales and observables, etc. are examined. The general logico-algebraic approach to quantum/classical physics is (...)
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  36.  31
    Measurement Theory is a Poor Model of the Relation of Kinematic Geometry and Perception of Motion.Dejan Todorovič - 2001 - Behavioral and Brain Sciences 24 (4):705-706.
    The Kubovy-Epstein proposal for the formalization of the relation between kinematic geometry and perception of motion has formal problems in itself. Motion phenomena are inadequately captured by the relational structures and the notion of isomorphism taken over from measurement theory. [Kubovy & Epstein].
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  37.  26
    The Standard Model of Quantum Measurement Theory: History and Applications. [REVIEW]Paul Busch & Pekka J. Lahti - 1996 - Foundations of Physics 26 (7):875-893.
    The standard model of the quantum theory of measurement is based on an interaction Hamiltonian in which the observable to be measured is multiplied by some observable of a probe system. This simple Ansatz has proved extremely fruitful in the development of the foundations of quantum mechanics. While the ensuing type of models has often been argued to be rather artificial, recent advances in quantum optics have demonstrated their principal and practical feasibility. A brief historical review of the (...)
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  38.  37
    Measurement Theory in the Lax-Phillips Formalism.S. Tasaki, E. Eisenberg & L. P. Horwitz - 1994 - Foundations of Physics 24 (8):1179-1194.
    It is shown that the application of the Lax-Phillips scattering theory to quantum mechanics provides a natural framework for the realization of the ideas of the “Many-Hilbert-Space” theory of Machida and Namiki to describe the development of decoherence in the process of measurement. We show that if the quantum mechanical evolution is pointwise in time, then decoherence occurs only if the Hamiltonian is time-dependent. If the evolution is not pointwise in time (as in Liouville space), then the (...)
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  39.  26
    Theoreticity in Kyburg's Measurement Theory.Miklavz Vospernik - 2005 - Croatian Journal of Philosophy 5 (1):89-108.
    Theoreticity is closely connected in the (mainstream) philosophy of science to the idea of non-observability. A closer analysis of measurement, however, may give us a deeper perspective into this connection. This was done by Kyburg in his Theory and Measurement, where he argued that theory is much more pervasive then usually thought of -- even the simplest forms of measurement essentially invoke non-observables. In my article I advance Kyburg’s ideas and try to show that theoreticity (...)
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  40. A Hundred Years of Numbers. An Historical Introduction to Measurement Theory 1887-1990 - Part II: Suppes and the Mature Theory. Representation and Uniqueness. [REVIEW]A. J. - 1997 - Studies in History and Philosophy of Science Part A 28 (2):237-265.
    In Part I we saw that the works of Helmholtz, Holder, Campbell and Stevens contain the main ingredients for the analysis of the conditions which make measurement possible, but, so to speak, that what is lacking in the work of the first three is to be found in the work of the last, and vice versa. The first tradition focuses on the conditions that an empirical qualitative system must satisfy in order to be numerically representable, but pays no attention (...)
     
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  41. A Representational Theory of Artefacts and Artworks.John Dilworth - 2001 - British Journal of Aesthetics 41 (4):353-370.
    The artefacts produced by artists during their creation of works of art are very various: paintings, writings, musical scores, and so on. I have a general thesis to offer about the relations of artefacts and artworks, but within the confines of this article I shall mainly discuss cases drawn from the art of painting, central specimens of which seem to be autographic in Nelson Goodman's sense, namely such that even the most exact duplication of them does not count as producing (...)
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  42. New Techniques and Ideas in Quantum Measurement Theory.Daniel M. Greenberger (ed.) - 1986 - New York Academy of Sciences.
  43.  3
    Discovery of Empirical Theories Based on the Measurement Theory. E. Vityaev & B. Kovalerchuk - 2004 - Minds and Machines 14 (4):551-573.
  44.  60
    Elements of a Theory of Inexact Measurement.Ernest W. Adams - 1965 - Philosophy of Science 32 (3/4):205-228.
    Modifications of current theories of ordinal, interval and extensive measurement are presented, which aim to accomodate the empirical fact that perfectly exact measurement is not possible (which is inconsistent with current theories). The modification consists in dropping the assumption that equality (in measure) is observable, but continuing to assume that inequality (greater or lesser) can be observed. The modifications are formulated mathematically, and the central problems of formal measurement theory--the existence and uniqueness of numerical measures consistent (...)
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  45.  21
    Quantum Interference, Quantum Theory of Measurement, and (In)Completeness of Quantum Mechanics.Mirjana Božić & Zvonko Marić - 1998 - Foundations of Physics 28 (3):415-427.
    The new techniques and ideas in quantum interferometry with neutrons, photons, atoms, electrons, and Bose condensates that fluorished in the last two decades have influenced in a decisive way the thinking and the research in the foundations and interpretation of quantum mechanics. The controversies existing among different schools on the reality of matter waves of quantum theory, the postulates of quantum measurement theory, and the (in)completeness of quantum mechanics have to be approached now in a new way. (...)
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  46.  11
    Perception and Coincidence in Helmholtz’s Theory of Measurement.Matthias Neuber - 2018 - Journal for the History of Analytical Philosophy 6 (3).
    The present paper is concerned with Helmholtz’s theory of measurement. It will be argued that an adequate understanding of this theory depends on how Helmholtz’s application of the concepts of perception and coincidence is interpreted. In contrast both to conventionalist and Kantian readings of Helmholtz’s theory, a more realistic interpretation will be suggested.
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  47. Same Old, Same Old: The Same-Order Representational Theory of Consciousness and the Division of Phenomenal Labor.Josh Weisberg - 2008 - Synthese 160 (2):161-181.
    The same-order representation theory of consciousness holds that conscious mental states represent both the world and themselves. This complex representational structure is posited in part to avoid a powerful objection to the more traditional higher-order representation theory of consciousness. The objection contends that the higher-order theory fails to account for the intimate relationship that holds between conscious states and our awareness of them--the theory 'divides the phenomenal labor' in an illicit fashion. This 'failure of intimacy' (...)
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  48. PANIC Theory and the Prospects for a Representational Theory of Phenomenal Consciousness.Uriah Kriegel - 2002 - Philosophical Psychology 15 (1):55-64.
    Michael Tye has recently argued that the phenomenal character of conscious experiences is "one and the same as" (1) Poised (2) Abstract (3) Non-conceptual (4) Intentional Content (PANIC). Tye argues extensively that PANIC Theory accounts for differences in phenomenal character in representational terms. But another task of a theory of phenomenal consciousness is to account for the difference between those mental states that have phenomenal character at all and those that do not. By going through each of (...)
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  49. The Representational Theory of Consciousness.David Bourget - 2010 - Dissertation, Australian National University
    A satisfactory solution to the problem of consciousness would take the form of a simple yet fully general model that specifies the precise conditions under which any given state of consciousness occurs. Science has uncovered numerous correlations between consciousness and neural activity, but it has not yet come anywhere close to this. We are still looking for the Newtonian laws of consciousness. -/- One of the main difficulties with consciousness is that we lack a language in which to formulate illuminating (...)
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  50.  28
    A Hundred Years of Numbers. An Historical Introduction to Measurement Theory 1887–1990.JoséA Díez - 1997 - Studies in History and Philosophy of Science Part A 28 (2):237-265.
    Part II: Suppes and the mature theory. Representation and uniqueness.
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