Abstract
This paper defends a pragmatical approach to vagueness. The vagueness-adaptive logic VAL is a good reconstruction of and an excellent, instrument for human reasoning processes in which vague predicates are involved. Apart from its proof-theory and semantics, a Sorites-treating model based on it is presented, disarming the paradox. The paper opens perspectives with respect to the construction of theories by means of vague predicates.
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References
Batens, D., ‘Functioning and Teachings of Adaptive Logics’, in Logic and Argumentation, eds. J. Van Benthem, F.H. Van Eemeren, R. Grootendorst and F. Veltman, North-Holland, Amsterdam, 1996, pp. 241–54.
Batens, D., ‘Blocks. The Clue to Dynamic Aspects of Logic’, Logique et Analyse 38: 285–328, 1995 (appeared 1997).
Batens, D., ‘Inconsistency-adaptive Logics’, in Logic at Work. Essays Dedicated to the Memory of Helena Rasiowa, ed. E. Orlowska, Physica Verlag-Springer, Heidelberg-New York, 1998, pp. 445–72.
Batens, D., ‘A Dynamic Semantics for Inconsistency-Adaptive Logics’, Bulletin of the Section of Logic 27: 15–8, 1998.
Batens, D., ‘A Survey of Inconsistency-Adaptive Logics’, in Frontiers of Paraconsistent Logic, eds. D. Batens, C. Mortensen, G. Priest, J.P. Van Bendegem, Research Studies Press, Baldock, 2000, pp. 49–73.
Beall, J.C., and M. Colyvan, ‘Heaps of Gluts and Hyde-ing the Sorites’, Mind 110: 401–8, 2001.
Brown, B., ‘Yes, Virginia, There Really Are Paraconsistent Logics’, Journal of Philosophical Logic 28(5): 489–500, 1999.
D'hanis, I., ‘A Logical Approach to the Analysis of Metaphors’, in Logical and Computational Aspects of Model-Based Reasoning, eds. L. Magnani and N. Nersessian, Kluwer Academic, Dordrecht, 2002, pp. 21–37.
Hyde, D., ‘From Heaps and Gaps to Heaps of Gluts’, Mind 106: 641–60, 1997.
Kamp, H., ‘The Paradox of the Heap’, in Aspects of Philosophical Logic, ed. U. Mönnich, Reidel, Dordrecht-Boston-London, 1981, pp. 225–77.
Keefe, R., Theories of Vagueness, Cambridge University Press, Cambridge, 2000.
Manor, R., ‘Only the Bald are Bald’, in Analyomen 2. Volume 2: Philosophy of Language, Metaphysics, ed. G. Meggle et al., De Gruyter, Hawthorne, 1997, pp. 178–84.
Manor, R., ‘Solving the Heap Paradox without Sacrificing Vagueness’, preprint.
Priest, G., ‘Sorites and Identity’, Logique et Analyse 34: 293–6, 1991.
Priest, G., ‘Fuzzy Identity and Local Validity’, The Monist 81: 331–42, 1998.
Raffman, D., ‘Vagueness without Paradox’, The Philosophical Review 103: 41–74, 1994.
Vanackere, G., ‘Ambiguity-Adaptive Logic’, Logique et Analyse 40: 261–80, 1997, (appeared 1999).
Vanackere, G., ‘Minimizing ambiguity and paraconsistency’, Logique et Analyse 165–166: 139–160, 1999, (appeared 2002).
Vanackere, G., ‘The role of ambiguities in the construction of collective theories’, Logique et Analyse 173–174–175: 189–214, 2001, (appeared 2003).
Van Kerkhove, B., ‘Between Semantics and Pragmatics: In Search of a Logic for Vagueness’, internal report available in pdf at http://www.vub.ac.be/CLWF/BVK.
Van Kerkhove, B., ‘Vagueness Unlimited: In Defence of a Pragmatical Approach to Sorites Paradoxes’, Logic and Logical Philosophy 11/12: 251–276, 2003.
Williamson, T., Vagueness. Routledge, London, 1994.
Wittgenstein, L., Philosophical Investigations (translated from German by G.E.M. Anscombe), Basil Blackwell, Oxford, 1953.
Wright, C., ‘On the Coherence of Vague Predicates’, Synthese 30: 325–65, 1975.
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Van Kerkhove, B., Vanackere, G. Vagueness-Adaptive Logic: A Pragmatical Approach to Sorites Paradoxes. Studia Logica 75, 383–411 (2003). https://doi.org/10.1023/B:STUD.0000009567.21578.0a
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DOI: https://doi.org/10.1023/B:STUD.0000009567.21578.0a