Abstract
We consider here several limiting cases of chain sets. The first three of these, discussed in sect. 4.2, represent three types of emptiness. In contrast to set theory which has only one representation of emptiness, namely the empty set ∅, the chain set logic distinguishes between three types of emptiness, resulting in three different chain set structures. These are 1) The representation of an empty collection of objects, 2) The representation of a contradictory statement, and 3) The representation of the state of ignorance.
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© 1998 Springer-Verlag Berlin Heidelberg
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Hisdal née Gruenwald, E. (1998). BP Chain Sets II, Special Cases of Chain Sets. In: Logical Structures for Representation of Knowledge and Uncertainty. Studies in Fuzziness and Soft Computing, vol 14. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1887-1_4
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DOI: https://doi.org/10.1007/978-3-7908-1887-1_4
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-2458-2
Online ISBN: 978-3-7908-1887-1
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