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Fuzziness as Multiplicity

Erkenntnis 10 (3):371 - 380 (1976)

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  1. The Semantics of Scientific Theories.Sebastian Lutz - 2014 - In Anna Brożek & Jacek Jadacki (eds.), Księga pamiątkowa Marianowi Przełęckiemu w darze na 90-lecie urodzin. pp. 33-67.
    Marian Przełęcki’s semantics for the Received View is a good explication of Carnap’s position on the subject, anticipates many discussions and results from both proponents and opponents of the Received View, and can be the basis for a thriving research program.
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  • Generalizing empirical adequacy I: multiplicity and approximation.Sebastian Lutz - 2014 - Synthese 191 (14):3195-3225.
    I provide an explicit formulation of empirical adequacy, the central concept of constructive empiricism, and point out a number of problems. Based on one of the inspirations for empirical adequacy, I generalize the notion of a theory to avoid implausible presumptions about the relation of theoretical concepts and observations, and generalize empirical adequacy with the help of approximation sets to allow for lack of knowledge, approximations, and successive gain of knowledge and precision. As a test case, I provide an application (...)
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  • Sorites.Bertil Rolf - 1984 - Synthese 58 (2):219 - 250.
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  • Supervaluationism and Its Logics.Achille C. Varzi - 2007 - Mind 116 (463):633-676.
    What sort of logic do we get if we adopt a supervaluational semantics for vagueness? As it turns out, the answer depends crucially on how the standard notion of validity as truth preservation is recasted. There are several ways of doing that within a supervaluational framework, the main alternative being between “global” construals (e.g., an argument is valid iff it preserves truth-under-all-precisifications) and “local” construals (an argument is valid iff, under all precisifications, it preserves truth). The former alternative is by (...)
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  • Three-valued semantic pluralism: a defense of a three-valued solution to the sorites paradox.Wen-Fang Wang - 2018 - Synthese 195 (10):4441-4476.
    Disagreeing with most authors on vagueness, the author proposes a solution that he calls ‘three-valued semantic pluralism’ to the age-old sorites paradox. In essence, it is a three-valued semantics for a first-order vague language with identity with the additional suggestion that a vague language has more than one correct interpretation. Unlike the traditional three-valued approach to a vague language, three-valued semantic pluralism can accommodate the phenomenon of higher-order vagueness and the phenomenon of penumbral connection when equipped with ‘suitable conditionals’. The (...)
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  • Indeterminate Identities, Supervaluationism, and Quantifiers.Achille C. Varzi - 2020 - Analytic Philosophy 61 (3):218-235.
    I am a friend of supervaluationism. A statement lacks a definite truth value if, and only if, it comes out true on some admissible ways of precisifying the semantics of the relevant vocabulary and false on others. In this paper, I focus on the special case of identity statements. I take it that such statements, too, may occasionally suffer a truth-value gap, including philosophically significant instances. Yet there is a potentially devastating objection that can be raised against the supervaluationist treatment (...)
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  • Generalizing Empirical Adequacy II: Partial Structures.Sebastian Lutz - 2021 - Synthese 198 (2):1351-1380.
    I show that extant attempts to capture and generalize empirical adequacy in terms of partial structures fail. Indeed, the motivations for the generalizations in the partial structures approach are better met by the generalizations via approximation sets developed in “Generalizing Empirical Adequacy I”. Approximation sets also generalize partial structures.
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  • Supervaluationism and its logics.John Gardner - manuscript
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  • Criteria of Empirical Significance: Foundations, Relations, Applications.Sebastian Lutz - 2012 - Dissertation, Utrecht University
    This dissertation consists of three parts. Part I is a defense of an artificial language methodology in philosophy and a historical and systematic defense of the logical empiricists' application of an artificial language methodology to scientific theories. These defenses provide a justification for the presumptions of a host of criteria of empirical significance, which I analyze, compare, and develop in part II. On the basis of this analysis, in part III I use a variety of criteria to evaluate the scientific (...)
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