CLASSICALLY COMPLETE MODAL RELEVANT LOGICS

被引:11
作者
MARES, ED [1 ]
机构
[1] DALHOUSIE UNIV,DEPT PHILOSOPHY,HALIFAX B3H 3J5,NS,CANADA
关键词
MODAL LOGIC; RELEVANCE LOGIC;
D O I
10.1002/malq.19930390119
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A variety of modal logics based on the relevant logic R are presented. Models are given for each of these logics and completeness is shown. It is also shown that each of these logics admits Ackermann's rule gamma and as a corollary of this it is proved that each logic is a conservative extension of its counterpart based on classical logic, hence we call them ''classically complete''.
引用
收藏
页码:165 / 177
页数:13
相关论文
共 19 条
[1]  
Ackermann W., 1956, J SYMBOLIC LOGIC, V21, P113, DOI DOI 10.2307/2268750
[2]  
Anderson A.R., 1975, ENTAILMENT LOGIC REL, V1
[3]  
BACON J, 1969, THESIS YALE U NEW HA
[4]  
DOSEN K, 1990, 1ST AXIOMATIZATION R, P9
[5]  
DUNN JM, 1986, HDB PHILOS LOGIC, V3, P117
[6]  
FINE K, 1974, J PHILOS LOGIC, V3, P347
[7]  
FINE K, 1908, J PHILOS LOGIC, V17, P27
[8]  
Fuhrmann A., 1990, STUD LOGICA, V49, P501, DOI DOI 10.1007/BF00370161
[9]  
Kripke Saul A., 1963, ACTA PHILOS FENN, V16, P83, DOI DOI 10.1007/978-3-0346-0145-0_16
[10]  
MARES ED, IN PRESS PHILOS LOGI