The Paradox of the Heap of Grains in Respect to Roughness, Fuzziness and Negligibility

  • Solomon Marcus
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1424)


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)


Equivalence Relation Binary Relation Fuzzy Approach Baire Category Polish Acad 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Solomon Marcus
    • 1
  1. 1.Romanian Academy, MathematicsBucurestiRomania

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