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  1. Louis Narens (2014). Alternative Probability Theories for Cognitive Psychology. 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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  2. Louis Narens (2005). A Theory of Belief for Scientific Refutations. 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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  3. Louis Narens (ed.) (1985). Abstract Measurement Theory. 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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  4. Louis Narens & R. Duncan Luce (1983). How We May Have Been Misled Into Believing in the Interpersonal Comparability of Utility. Theory and Decision 15 (3):247-260.
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  5. Louis Narens (1981). A General Theory of Ratio Scalability with Remarks About the Measurement-Theoretic Concept of Meaningfulness. Theory and Decision 13 (1):1-70.
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  6. Louis Narens (1980). On Qualitative Axiomatizations for Probability Theory. 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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  7. R. Duncan Luce & Louis Narens (1978). Qualitative Independence in Probability Theory. Theory and Decision 9 (3):225-239.
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  8. William H. Batchelder & Louis Narens (1977). A Critical Examination of the Analysis of Dichotomous Data. 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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  9. R. Duncan Luce & Louis Narens (1976). A Qualitative Equivalent to the Relativistic Addition Law for Velocities. Synthese 33 (1):483-487.
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  10. R. Duncan Luce & Louis Narens (1976). A Qualitative Equivalent to the Relativistic Addition Law for Velocities. Synthese 33 (1):483 - 487.
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  11. Louis Narens (1974). Measurement Without Archimedean Axioms. 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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  12. Louis Narens (1973). Review: Hans Freudenthal, Lincos. Design of a Language for Cosmic Intercourse. Part I. [REVIEW] Journal of Symbolic Logic 38 (3):517-517.
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  13. Louis Narens (1971). Review: W. A. J. Luxemburg, A General Theory of Monads. [REVIEW] Journal of Symbolic Logic 36 (3):541-542.
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