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  1. Merrie Bergmann (2010). Conjunction-Based Sorites: A Misguided Objection to Degree-Theoretic (Fuzzy) Solutions to Sorites Paradoxes. [REVIEW] Journal of Philosophical Logic 39 (1):1 - 4.
    In 1987, Crispin Wright argued that degree-theoretic (fuzzy) solutions to the Sorites paradox fail because the solutions do not work when the paradox is restated using a conjunctive major premise. I show that Wright is incorrect: degree-theoretic solutions also work when the paradox is stated with a conjunctive major premise.
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  2. Merrie Bergmann (2008). An Introduction to Many-Valued and Fuzzy Logic: Semantics, Algebras, and Derivation Systems. Cambridge University Press.
    This volume is an accessible introduction to the subject of many-valued and fuzzy logic suitable for use in relevant advanced undergraduate and graduate courses. The text opens with a discussion of the philosophical issues that give rise to fuzzy logic – problems arising from vague language – and returns to those issues as logical systems are presented. For historical and pedagogical reasons, three-valued logical systems are presented as useful intermediate systems for studying the principles and theory behind fuzzy logic.
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  3. Merrie Bergmann (2005). Finite Tree Property for First-Order Logic with Identity and Functions. Notre Dame Journal of Formal Logic 46 (2):173-180.
    The typical rules for truth-trees for first-order logic without functions can fail to generate finite branches for formulas that have finite models–the rule set fails to have the finite tree property. In 1984 Boolos showed that a new rule set proposed by Burgess does have this property. In this paper we address a similar problem with the typical rule set for first-order logic with identity and functions, proposing a new rule set that does have the finite tree property.
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  4. Merrie Bergmann (2003). The Logic Book. Mcgraw-Hill.
    This outstanding book is a leading text for symbolic or formal logic courses. All techniques and concepts are presented with clear, comprehensive explanations and numerous, carefully constructed examples. Its flexible organization (all chapters are complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose.
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  5. Merrie Bergmann (1986). How Many Feminists Does It Take to Make A Joke? Sexist Humor and What's Wrong with It. Hypatia 1 (1):63 - 82.
    In this paper I am concerned with two questions: What is sexist humor? and what is wrong with it? To answer the first question, I briefly develop a theory of humor and then characterize sexist humor as humor in which sexist beliefs (attitudes/norms) are presupposed and are necessary to the fun. Concerning the second question, I criticize a common sort of argument that is supposed to explain why sexist humor is offensive: although the argument explains why sexist humor feels offensive, (...)
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  6. Merrie Bergmann (1982). Cross-Categorial Semantics for Conjoined Common Nouns. Linguistics and Philosophy 5 (3):399 - 401.
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  7. Merrie Bergmann (1982). Metaphorical Assertions. Philosophical Review 91 (2):229-245.
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  8. Merrie Bergmann (1982). Expressibility in Two-Dimensional Languages for Presupposition. Notre Dame Journal of Formal Logic 23 (4):459-470.
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  9. Merrie Bergmann (1981). Presupposition and Two-Dimensional Logic. Journal of Philosophical Logic 10 (1):27 - 53.
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  10. D. A. Bochvar & Merrie Bergmann (1981). On a Three-Valued Logical Calculus and its Application to the Analysis of the Paradoxes of the Classical Extended Functional Calculus. History and Philosophy of Logic 2 (1-2):87-112.
    A three-valued propositional logic is presented, within which the three values are read as ?true?, ?false? and ?nonsense?. A three-valued extended functional calculus, unrestricted by the theory of types, is then developed. Within the latter system, Bochvar analyzes the Russell paradox and the Grelling-Weyl paradox, formally demonstrating the meaninglessness of both.
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  11. Merrie Bergmann (1977). Logic and Sortal Incorrectness. Review of Metaphysics 31 (1):61 - 79.
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