Yablo's Paradox and ω-inconsistency

被引:39
作者
Ketland, J [1 ]
机构
[1] Univ Cambridge, Fac Philosophy, Cambridge CB3 9DA, England
关键词
Natural Formalization; Individual Sentence; Diagonalization Argument; Disquotational Principle;
D O I
10.1007/s11229-005-6201-6
中图分类号
N09 [自然科学史]; B [哲学、宗教];
学科分类号
01 ; 0101 ; 010108 ; 060207 ; 060305 ; 0712 ;
摘要
It is argued that Yablo's Paradox is not strictly paradoxical, but rather omega-paradoxical'. Under a natural formalization, the list of Yablo sentences may be constructed using a diagonalization argument and can be shown to be omega-inconsistent, but nonetheless consistent. The derivation of an inconsistency requires a uniform fixed-point construction. Moreover, the truth-theoretic disquotational principle required is also uniform, rather than the local disquotational T-scheme. The theory with the local disquotation T-scheme applied to individual sentences from the Yablo list is also consistent.
引用
收藏
页码:295 / 302
页数:8
相关论文
共 4 条
[1]  
Forster T., 1996, YABLOS PARADOX
[2]  
Kaye R., 1991, MODELS PEANO ARITHME
[3]   Yablo's paradox [J].
Priest, G .
ANALYSIS, 1997, 57 (04) :236-242
[4]   PARADOX WITHOUT SELF-REFERENCE [J].
YABLO, S .
ANALYSIS, 1993, 53 (04) :251-252