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Proportional readings of many and few: the case for an underspecified measure function
Linguistics and Philosophy ( IF 1.167 ) Pub Date : 2019-11-18 , DOI: 10.1007/s10988-019-09284-5
Alan Bale , Bernhard Schwarz

In the so-called reverse proportional reading (Herburger in Nat Lang Semant 5(1):53, 1997), the truth conditions of statements of the form many/few$$\phi $$$$\psi $$ appear to make reference to the ratio of the individuals that are in the extensions of both $$\phi $$ and $$\psi $$ to the individuals that are in the extension of $$\psi $$. The analysis of such readings is controversial. One prominent approach assumes they are a symptom of many and few making reference to a context dependent standard of comparison. We observe that this initially attractive approach systematically undergenerates, failing to capture pervasive reverse proportionality in environments that remove context dependency of the standard. Instead, we propose that reverse proportionality in such cases can arise from the underspecification of the measure function underlying the meanings of many and few.

中文翻译:

多与少的比例读数:未指定度量函数的情况

在所谓的反比例阅读中(Herburger in Nat Lang Semant 5(1):53, 1997),many/few$$\phi $$$$\psi $$ 形式的陈述的真值条件似乎使参考在 $$\phi $$ 和 $$\psi $$ 的扩展中的个体与在 $$\psi $$ 的扩展中的个体的比率。对这些读物的分析是有争议的。一种突出的方法假设它们是参考上下文相关的比较标准的许多和少数的症状。我们观察到,这种最初有吸引力的方法系统地产生不足,无法在消除标准的上下文依赖性的环境中捕获普遍的反向比例。反而,
更新日期:2019-11-18
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