Abstract
In a first step, roughness and fuzziness fail to account for the type of grad-uality (vagueness) involved in the concept of a heap, as it is conceived in the famous Eubulides’ paradox. One can partially bridge this gap by means of tolerance rough sets. Even in this case, a non-concordance persists between the empirical finiteness and the theoretical infinity of a heap. Another way to approach this problem could be via negligibility (be it cardinal, measure-theoretic or topological)
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Marcus, S. (1998). The Paradox of the Heap of Grains in Respect to Roughness, Fuzziness and Negligibility. In: Polkowski, L., Skowron, A. (eds) Rough Sets and Current Trends in Computing. RSCTC 1998. Lecture Notes in Computer Science(), vol 1424. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-69115-4_2
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DOI: https://doi.org/10.1007/3-540-69115-4_2
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