Why Must Incompatibility Be Symmetric?

被引:0
|
作者
Simonelli, Ryan [1 ]
机构
[1] Univ Chicago, Chicago, IL 60637 USA
来源
PHILOSOPHICAL QUARTERLY | 2024年 / 74卷 / 02期
关键词
incompatibility; negation; non-classical logic; australian plan; transcendental argument; NEGATION; LOGIC;
D O I
10.1093/pq/pqad078
中图分类号
B [哲学、宗教];
学科分类号
01 ; 0101 ;
摘要
Why must incompatibility be symmetric? An odd question, but recent work in the semantics of non-classical logic, which appeals to the notion of incompatibility as a primitive and defines negation in terms of it, has brought this question to the fore. Francesco Berto proposes such a semantics for negation argues that, since incompatibility must be symmetric, double negation introduction must be a law of negation. However, he offers no argument for the claim that incompatibility really must be symmetric. Here, I provide such an argument, showing that, insofar as we think of incompatibility in normative pragmatic terms, it can play its basic pragmatic function only if it is symmetric. The upshot is that we can vindicate Berto's claim about the symmetry of incompatibility but only if we, pace Berto, think about incompatibility, in the first instance, as a pragmatic relation between acts rather than a semantic relation between contents.
引用
收藏
页码:658 / 682
页数:25
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