Resolution of some paradoxes of propositions

被引：11
作者：
Deutsch, Harry
机构：
[1] Stevenson Hall 412, Normal, IL 61790-4540
来源：
ANALYSIS | 2014年 / 74卷 / 01期
关键词：
Kaplan; paradox; propositions; Russell;
D O I：
10.1093/analys/ant089
中图分类号：
B [哲学、宗教];
学科分类号：
01 ; 0101 ;
摘要：
Solutions to Russell's paradox of propositions and to Kaplan's paradox are proposed based on an extension of von Neumann's method of avoiding paradox. It is shown that Russell's 'anti-Cantorian' mappings can be preserved using this method, but Kaplan's mapping cannot. In addition, several versions of the Epimenides paradox are discussed in light of von Neumann's method. © 2013 The Author.
引用
收藏
页码：26 / 34
页数：9
相关论文
共 11 条
  • [1] Anderson C.A., 2009, The Philosophy of David Kaplan, P85
  • [2] SOME DIFFICULTIES CONCERNING RUSSELLIAN INTENSIONAL LOGIC
    ANDERSON, CA
    [J]. NOUS, 1986, 20 (01): : 35 - 43
  • [3] [Anonymous], 1996, PRINCIPLES MATH
  • [4] Cantini A, 2004, DE GRU LOG APPLICAT, V6, P259
  • [5] Church A., 1984, Philosophia Natu-ralis, V21, P513
  • [6] Church Alonzo., 1974, Proceedings of the American Philosophical Association, V47, P21, DOI [10.2307/3129899, DOI 10.2307/3129899]
  • [7] Cocchiarella N. B., 1985, J PHILOS LOGIC, V14, P253
  • [8] Kaplan David., 1995, Modality, Morality, and Belief: Essays in Honor of Ruth Barcan Marcus, P41
  • [9] Myhill J., 1979, Bertrand Russell Memorial Volume, P81
  • [10] van Heijenoort J, 1967, FREGE GODEL SOURCE B, P393
12