Actual World;
Technical Assumption;
Closeness Relation;
Ball Number;
Good Mathematician;
D O I:
10.1007/s11229-005-3487-3
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:
Consider the reasonable axioms of subjunctive conditionals (1) if p square -> q(1 and) p square -> q(2) at some world, then p square -> (q(1) & q(2)) at that world, and (2) if p(1) square -> q and p(2) square -> q at some world, then (p(1) v p(2)) square -> q at that world, where p square -> q is the subjunctive conditional. I show that a Lewis-style semantics for subjunctive conditionals satisfies these axioms if and only if one makes a certain technical assumption about the closeness relation, an assumption that is probably false. I will then show how Lewisian semantics can be modified so as to assure (1) and (2) even when the technical assumption fails, and in fact in one sense the semantics actually becomes simpler then.