On Some Vagaries of Vagueness and Information

  • Authors:
  • Settimo Termini

  • Affiliations:
  • Dipartimento di Matematica e Applicazioni, Università di Palermo, Italy and Istituto di Cibernetica, C.N.R. “E. Caianiello”, Napoli, Italy E-mail: termini@math.unipa.it, s ...

  • Venue:
  • Annals of Mathematics and Artificial Intelligence
  • Year:
  • 2002

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Abstract

The presence of vagueness in scientific theories (in particular, to those related to and connected with the management of information) is briefly analyzed. We consider, firstly, the problem whether vague predicates can be adequately represented by existing formal theories. A negative answer to this question produces, as a by-product, the suggestion that a good semantics for fuzzy sets can be offered by the notion of “distance from idealized items”. Secondly, some questions connected with the adequacy of “theories of information” to the multifaceted informal notion of “information” suggest to afford this problem within an enlarged dynamical setting.