Description

• Title:
  A Paradox of ZF-Class Nominalism
• Creator:
  Luo, Guanglong
• Description:
  In a recent article in this journal, Calemi challenges the Küng-Armstrong trilemma, a well-known objection to traditional class nominalism, by proposing a fusion of class nominalism with Zermelo-Fraenkel set theory (ZF). In this note, we argue that ZF-class nominalism faces significant challenges in the form of incompleteness and potential paradoxes stemming from Gödel’s incompleteness theorem. We will explore these issues in detail, highlighting the key implications for the viability of ZF-class nominalism as a philosophical position.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2024 Guanglong Luo
• Date:
  2024.11.02
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion
• Language:
  English
• Source:
  Logic and Logical Philosophy; Vol. 34 No. 1 (2025): March; 153-158;
  Logic and Logical Philosophy; Tom 34 Nr 1 (2025): Marzec; 153-158;
  2300-9802;
  1425-3305
• Format:
  application/pdf
• Publisher:
  Uniwersytet Mikołaja Kopernika w Toruniu
• Relation: https://apcz.umk.pl/LLP/article/view/53818/40261
• Subject:
  class nominalism;
  Zermelo-Fraenkel set theory;
  Gödel’s incompleteness theorem
• Identifier: https://apcz.umk.pl/LLP/article/view/53818
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  text