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When is a Schema Not a Schema? On a Remark by Suszko
Studia Logica ( IF 0.7 ) Pub Date : 2019-01-02 , DOI: 10.1007/s11225-018-9841-5
Lloyd Humberstone , Allen Hazen

A 1971 paper by Roman Suszko, ‘Identity Connective and Modality’, claimed that a certain identity-free schema expressed the condition that there are at most two objects in the domain. Section 1 here gives that schema and enough of the background to this claim to explain Suszko’s own interest in it and related conditions—via non-Fregean logic, in which the objects in question are situations and the aim is to refrain from imposing this condition. Section 3 shows that the claim is false, and suggests a diagnosis as to why it might have been made, in terms of quantifier scope distinctions as they bear on schematic formulations. In between, Section 2 discusses an issue brought up by this discussion but not involving the mistaken claim itself, and shows that Suszko was familiar with two different ways (using identity) to set an upper or lower finite bound to the domain—a contrast which some contemporary readers may associate with David Lewis (for reasons that will be explained in that section).

中文翻译:

什么时候架构不是架构?Suszko 的评论

Roman Suszko 在 1971 年的一篇论文“身份连接和模态”声称某个无身份模式表达了域中至多有两个对象的条件。这里的第 1 节给出了这个主张的模式和足够的背景,以解释 Suszko 自己对它和相关条件的兴趣——通过非弗雷格逻辑,其中所讨论的对象是情境,目的是避免强加这种条件。第 3 部分表明该声明是错误的,并根据与示意图公式有关的量词范围区别,建议对可能会做出该声明的原因进行诊断。在两者之间,第 2 节讨论了本次讨论提出的一个问题,但不涉及错误的声明本身,
更新日期:2019-01-02
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