Opis

• Tytuł:
  A Syntactical Analysis of Lewis’s Triviality Result
• Twórca:
  Pizzi, Claudio E. A.
• Opis:
  The first part of the paper contains a probabilistic axiomatic extension of the conditional system WV, here named WVPr. This system is extended with the axiom (Pr4): PrA = 1 ⊃ □A. The resulting system, named WVPr∗, is proved to be consistent and non-trivial, in the sense that it does not contain the wff (Triv): A ≡□A. Extending WVPr∗ with the so-called Generalized Stalnaker’s Thesis (GST) yields the (first) Lewis’s Triviality Result (LTriv) in the form (◊(A ∧ B) ∧◊(A ∧ ¬B)) ⊃ PrB|A = PrB. In §4 it is shown that a consequence of this theorem is the thesis (CT1): ¬A ⊃ (A > B ⊃ A ⥽ B). It is then proven that (CT1) subjoined to the conditional system WVPr∗ yields the collapse formula (Triv). The final result is that WVPr∗+(GST) is equivalent to WVPr∗+(Triv). In the last section a discussion is opened about the intuitive and philosophical plausibility of axiom (Pr4) and its role in the derivation of (Triv).
• Dostępność obiektu:
  Dostęp otwarty
• Prawa:
  Prawa autorskie (c) 2021 Logic and Logical Philosophy
• Data:
  2021.03.24
• Typ:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion
• Język:
  angielski
• Źródło:
  Logic and Logical Philosophy; Vol. 30 No. 3 (2021): September; 417-434;
  Logic and Logical Philosophy; Tom 30 Nr 3 (2021): wrzesień; 417-434;
  2300-9802;
  1425-3305
• Format:
  application/pdf
• Wydawca:
  Uniwersytet Mikołaja Kopernika w Toruniu
• Relacja: https://apcz.umk.pl/LLP/article/view/LLP.2021.006/28558
• Temat i słowa kluczowe:
  conditionals;
  conditional probability;
  Stalnaker’s Thesis;
  triviality;
  collapse of modalities;
  03-XX;
  60-XX
• Identyfikator: https://apcz.umk.pl/LLP/article/view/LLP.2021.006
• Dostawca danych:
  Akademicka Platforma Czasopism
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