Opis

• Tytuł:
  More on the decidability of mereological theories
• Twórca:
  Tsai, Hsing-chien
• Opis:
  Quite a few results concerning the decidability of mereological theories have been given in my previous paper. But many mereological theories are still left unaccounted for. In this paper I will refine a general method for proving the undecidability of a theory and then by making use of it, I will show that most mereological theories that are strictly weaker than CEM are finitely inseparable and hence undecidable. The same results might be carried over to some extensions of those weak theories by adding the fusion axiom schema. Most of the proofs to be presented in this paper take finite lattices as the base models when applying the refined method. However, I shall also point out the limitation of this kind of reduction and make some observations and conjectures concerning the decidability of stronger mereological theories.
• Dostępność obiektu:
  Dostęp otwarty
• Prawa:
  Prawa autorskie (c) 2017 Logic and Logical Philosophy
• Data:
  2011.11.30
• Typ:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion
• Język:
  angielski
• Źródło:
  Logic and Logical Philosophy; Vol. 20 No. 3 (2011); 251-265;
  Logic and Logical Philosophy; Tom 20 Nr 3 (2011); 251-265;
  2300-9802;
  1425-3305
• Format:
  application/pdf
• Wydawca:
  Uniwersytet Mikołaja Kopernika w Toruniu
• Relacja: https://apcz.umk.pl/LLP/article/view/LLP.2011.015/806
• Temat i słowa kluczowe:
  mereology;
  mereological theories;
  part-whole relation;
  decidability;
  undecidability
• Identyfikator: https://apcz.umk.pl/LLP/article/view/LLP.2011.015
• Dostawca danych:
  Akademicka Platforma Czasopism
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