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A Really Fuzzy Approach to the Sorites Paradox

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REFERENCES

  • Avron, A.: 1994, 'Some Properties of Linear Logic Proved by Semantic Methods',Journal of Logic and Computation 4, 929–938.

    Google Scholar 

  • Baldwin, J. F. and N. C. F. Guild: 1980, 'The Resolution of Two Paradoxes of Approximate Reasoning Using a Fuzzy Logic',Synthese 44, 397–420.

    Google Scholar 

  • Blute, R. F. and P. J. Scott: 1996, 'Linear Läuchli Semantics',Annals of Pure and Applied Logic 77, 101–142.

    Google Scholar 

  • Casari, E.: 1987, 'Comparative Logics',Synthese 73, 421–449.

    Google Scholar 

  • Casari, E.: 1989, 'Comparative Logics and Abelianl-groups', in A. Valentini et al. (eds.),Logic Colloquium '88, North Holland, Amsterdam, pp. 161–190.

    Google Scholar 

  • Casari, E.: 1991, 'Logics on Pregroups', in Aa. Vv.,Nuovi problemi della logica e della filosofia della scienza, Clueb, Bologna, vol. 2, pp. 39–58.

    Google Scholar 

  • Casari, E.: 1997, 'Conjoining and Disjoining on Different Levels', in M. L. Dalla Chiara et al. (eds.),Logic and Scientific Methods, Kluwer, Dordrecht, pp. 261–288.

    Google Scholar 

  • Cignoli, R., I. M. L. D'Ottaviano, and D. Mundici: 1999,Algebraic Foundations of Many-Valued Reasoning, Kluwer, Dordrecht.

    Google Scholar 

  • Cresswell, M. J.: 1976, 'The Semantics of Degree', in B. Partee (ed.),Montague Grammar, Academic Press, New York, pp. 261–292.

    Google Scholar 

  • Forbes, G.: 1983, 'Thisness and Vagueness',Synthese 54, 235–259.

    Google Scholar 

  • Goguen, J. A.: 1969, 'The Logic of Inexact Concepts',Synthese 19, 325–373.

    Google Scholar 

  • Grim, P.: 1997, 'A Fuzzy Fairly Happy Face', available at http://www.nyu.edu/gsas/dept/philo/faculty/sorensen/vagueness/.

  • Hajek, P.: 1998,The Metamathematics of Fuzzy Logic, Kluwer, Dordrecht.

    Google Scholar 

  • Hajek, P.: 1999, 'Ten Questions and One Problem on Fuzzy Logic',Annals of Pure and Applied Logic 98, 157–165.

    Google Scholar 

  • Hajek, P., L. Godo, and F. Esteva: 1996, 'A Complete Many-Valued Logic with Product-conjunction',Archive for Mathematical Logic 35, 191–208.

    Google Scholar 

  • Hamann, C.: 1991, 'Adjectival Semantics', in A. von Stechow and D. Wunderlich (eds.),Semantics, de Gruyter, Berlin, pp. 657–673.

    Google Scholar 

  • Hamann, C. et al.: 1980, 'On the Semantics of Comparison',Linguistische Berichte 67, 1–21.

    Google Scholar 

  • Kamp, H.: 1975, 'Two Theories About Adjectives', in E. Keenan (ed.),Formal Semantics of Natural Language, Cambridge University Press, Cambridge, pp. 123–155.

    Google Scholar 

  • Keefe, R.: 1998, 'Vagueness by Numbers',Mind 107, 427–441.

    Google Scholar 

  • Klein, E.: 1980, 'A Semantics for Positive and Comparative Adjectives',Linguistics and Philosophy 4, 1–45.

    Google Scholar 

  • Klein, E.: 1991, 'Comparatives', in A. von Stechow and D. Wunderlich (eds.),Semantics, de Gruyter, Berlin, pp. 673–691.

    Google Scholar 

  • Lakoff, G.: 1975, 'Hedges: A Study in Meaning Criteria and the Logic of Fuzzy Concepts', in G. Hockney et al. (eds.),Contemporary Research in Philosophical Logic, Reidel, Dordrecht, pp. 221–271.

    Google Scholar 

  • Machina, K. F.: 1976, 'Truth, Belief, and Vagueness',Journal of Philosophical Logic 5, 47–78.

    Google Scholar 

  • Minari, P.: 1988, 'On the Semantics of Comparative Logics',Zeitschrift für mathematische Logik und Grundlagen der Mathematik 28, 433–448.

    Google Scholar 

  • Morgan, C. G. and F. J. Pelletier: 1977, 'Some Notes Concerning Fuzzy Logics',Linguistics and Philosophy 1, 79–97.

    Google Scholar 

  • Morton, A.: 1984, 'Comparatives and Degrees',Analysis 44, 16–20.

    Google Scholar 

  • Paoli, F.: 1996, 'On Strong Comparative Logic',Logique et Analyse 155-156, 271–283.

    Google Scholar 

  • Paoli, F.: 1999, 'Comparative Logic as an Approach to Comparison in Natural Language',Journal of Semantics 16, 67–96.

    Google Scholar 

  • Paoli, F.: 2000, 'A Common Abstraction of MV-algebras and Abelianl-groups',Studia Logica 65, 3, 355–366.

    Google Scholar 

  • Paoli, F.: 200+, 'The Proof Theory of Comparative Logic',Logique et Analyse, forthcoming.

  • Pinkal, M.: 1995,Logic and Lexicon, Kluwer, Dordrecht.

    Google Scholar 

  • Rolf, B.: 1984, 'Sorites',Synthese 58, 219–250.

    Google Scholar 

  • Simons, P.: 1997, 'Vagueness, Many-Valued Logic, and Probability', in W. Lenzen (ed.),Das weite Spektrum der analytischen Philosophie, de Gruyter, Berlin, pp. 307–322.

    Google Scholar 

  • Sorensen, R. A.: 1988, 'Vagueness, Measurement, and Blurriness',Synthese 75, 45–82.

    Google Scholar 

  • Todt, G.: 1983, 'Fuzzy Logic and Modal Logic', in T. Ballmer and M. Pinkal (eds.),Approaching Vagueness, North Holland, Amsterdam, pp. 213–260.

    Google Scholar 

  • Tye, M.: 1994, 'Vagueness: Welcome to the Quicksand',Southern Journal of Philosophy 33(Suppl.), 1–22.

    Google Scholar 

  • Williamson, T.: 1994,Vagueness, Routledge, London.

    Google Scholar 

  • Zadeh, L. A.: 1975, 'Fuzzy Logic and Approximate Reasoning',Synthese 30, 407–428.

    Google Scholar 

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Paoli, F. A Really Fuzzy Approach to the Sorites Paradox. Synthese 134, 363–387 (2003). https://doi.org/10.1023/A:1022995202767

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