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  1. 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 highly general axiomatizations (...)
     
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  2.  4
    Measuring the Hedonimeter.Brian Skyrms & Louis Narens - forthcoming - Philosophical Studies:1-12.
    We revisit classical Utilitarianism by connecting and generalizing two ideas. The first is that there is a representation theorem possible for hedonic value similar to, but also importantly different from, the one provided by von Neumann and Morgenstern to measure decision utility. The idea is to use objective time, in place of objective chance, to measure hedonic value. This representation for hedonic value delivers a stronger kind of scale than von Neumann–Morgenstern utility, a ratio scale rather than merely an interval (...)
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  3.  36
    Alternative Probability Theories for Cognitive Psychology.Louis Narens - 2014 - Topics in Cognitive Science 6 (1):114-120.
    Various proposals for generalizing event spaces for probability functions have been put forth in the mathematical, scientific, and philosophic literatures. In cognitive psychology such generalizations are used for explaining puzzling results in decision theory and for modeling the influence of context effects. This commentary discusses proposals for generalizing probability theory to event spaces that are not necessarily boolean algebras. Two prominent examples are quantum probability theory, which is based on the set of closed subspaces of a Hilbert space, and topological (...)
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  4.  38
    Measurement Without Archimedean Axioms.Louis Narens - 1974 - Philosophy of Science 41 (4):374-393.
    Axiomatizations of measurement systems usually require an axiom--called an Archimedean axiom--that allows quantities to be compared. This type of axiom has a different form from the other measurement axioms, and cannot--except in the most trivial cases--be empirically verified. In this paper, representation theorems for extensive measurement structures without Archimedean axioms are given. Such structures are represented in measurement spaces that are generalizations of the real number system. Furthermore, a precise description of "Archimedean axioms" is given and it is shown that (...)
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  5.  22
    A General Theory of Ratio Scalability with Remarks About the Measurement-Theoretic Concept of Meaningfulness.Louis Narens - 1981 - Theory and Decision 13 (1):1-70.
  6.  43
    A Qualitative Equivalent to the Relativistic Addition Law for Velocities.R. Duncan Luce & Louis Narens - 1976 - Synthese 33 (1):483-487.
  7.  11
    Accommodation Dynamics for Comparing Utilities with Others.Louis Narens & Brian Skyrms - 2018 - Philosophical Studies 175 (10):2419-2427.
    In interactive situations, agents can “learn” something that is not a preexisting truth. They can converge to an arbitrary convention, or tacit agreement. Once established they may even view it as an objective truth. Here we investigate accommodation dynamics for interpersonal comparisons of utility intervals. We show, for a large class of dynamics, convergence to a convention.
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  8.  30
    A Theory of Belief for Scientific Refutations.Louis Narens - 2005 - Synthese 145 (3):397-423.
    A probability function on an algebra of events is assumed. Some of the events are scientific refutations in the sense that the assumption of their occurrence leads to a contradiction. It is shown that the scientific refutations form a a boolean sublattice in terms of the subset ordering. In general, the restriction of to the sublattice is not a probability function on the sublattice. It does, however, have many interesting properties. In particular, (i) it captures probabilistic ideas inherent in some (...)
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  9.  24
    How We May Have Been Misled Into Believing in the Interpersonal Comparability of Utility.Louis Narens & R. Duncan Luce - 1983 - Theory and Decision 15 (3):247-260.
  10.  1
    Accuracy of Feeling-of-Knowing Judgments for Predicting Perceptual Identification and Relearning.Thomas O. Nelson, Daniel Gerler & Louis Narens - 1984 - Journal of Experimental Psychology: General 113 (2):282-300.
  11.  22
    Qualitative Independence in Probability Theory.R. Duncan Luce & Louis Narens - 1978 - Theory and Decision 9 (3):225-239.
  12. Abstract Measurement Theory.Louis Narens - 1988 - Synthese 76 (1):179-182.
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  13.  3
    On the Relationship of the Psychological and the Physical in Psychophysics.Louis Narens & Rainer Mausfeld - 1992 - Psychological Review 99 (3):467-479.
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  14.  14
    On Qualitative Axiomatizations for Probability Theory.Louis Narens - 1980 - Journal of Philosophical Logic 9 (2):143 - 151.
    In the literature, there are many axiomatizations of qualitative probability. They all suffer certain defects: either they are too nonspecific and allow nonunique quantitative interpretations or are overspecific and rule out cases with unique quantitative interpretations. In this paper, it is shown that the class of qualitative probability structures with nonunique quantitative interpretations is not first order axiomatizable and that the class of qualitative probability structures with a unique quantitative interpretation is not a finite, first order extension of the theory (...)
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  15.  13
    A Critical Examination of the Analysis of Dichotomous Data.William H. Batchelder & Louis Narens - 1977 - Philosophy of Science 44 (1):113-135.
    This paper takes a critical look at theory-free, statistical methodologies for processing and interpreting data taken from respondents answering a set of dichotomous (yes-no) questions. The basic issue concerns to what extent theoretical conclusions based on such analyses are invariant under a class of "informationally equivalent" question transformations. First the notion of Boolean equivalence of two question sets is discussed. Then Lazarsfeld's latent structure analysis is considered in detail. It is discovered that the best fitting latent model depends on which (...)
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  16.  3
    Luxemburg W. A. J.. A General Theory of Monads. Applications of Model Theory to Algebra, Analysis, and Probability, Edited by Luxemburg W. A. J., Holt, Rinehart and Winston, New York, Chicago, San Francisco, Atlanta, Dallas, Montreal, Toronto, London, and Sidney, 1969, Pp. 18–86. [REVIEW]Louis Narens - 1971 - Journal of Symbolic Logic 36 (3):541-542.
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  17.  5
    Review: Hans Freudenthal, Lincos. Design of a Language for Cosmic Intercourse. Part I. [REVIEW]Louis Narens - 1973 - Journal of Symbolic Logic 38 (3):517-517.
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  18.  2
    Freudenthal Hans. Lincos. Design of a Language for Cosmic Intercourse. Part I. Studies in Logic and the Foundations of Mathematics, North-Holland Publishing Company, Amsterdam 1960, 224 Pp. [REVIEW]Louis Narens - 1973 - Journal of Symbolic Logic 38 (3):517.
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  19.  3
    Review: W. A. J. Luxemburg, A General Theory of Monads. [REVIEW]Louis Narens - 1971 - Journal of Symbolic Logic 36 (3):541-542.
  20.  1
    Are Psychophysical Scales of Intensities the Same or Different When Stimuli Vary on Other Dimensions? Theory with Experiments Varying Loudness and Pitch.R. Duncan Luce, Ragnar Steingrimsson & Louis Narens - 2010 - Psychological Review 117 (4):1247-1258.
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