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On fatal competition and the nature of distributive inferences
Natural Language Semantics ( IF 1.524 ) Pub Date : 2023-09-25 , DOI: 10.1007/s11050-023-09210-3
Moshe E. Bar-Lev , Danny Fox

Denić (2018, 2019, To appear) observes that the availability of distributive inferences—for sentences with disjunction embedded in the scope of a universal quantifier—depends on the size of the domain quantified over as it relates to the number of disjuncts. Based on her observations, she argues that probabilistic considerations play a role in the computation of implicatures. In this paper we explore a different possibility. We argue for a modification of Denić’s generalization, and provide an explanation that is based on intricate logical computations but is blind to probabilities. The explanation is based on the observation that when the domain size is no larger than the number of disjuncts, universal and existential alternatives are equivalent if distributive inferences are obtained. We argue that under such conditions a general ban on ‘fatal competition’ (Magri 2009a,b, Spector 2014) is activated, thereby predicting distributive inferences to be unavailable.



中文翻译:

论致命竞争和分配推论的本质

Denić(2018,2019,待出现)观察到,分配推理的可用性(对于在全称量词范围内嵌入析取的句子)取决于量化域的大小,因为它与析取的数量相关。根据她的观察,她认为概率考虑在含义计算中发挥着作用。在本文中,我们探讨了一种不同的可能性。我们主张对德尼奇的概括进行修改,并提供基于复杂逻辑计算但忽视概率的解释。该解释基于这样的观察:当域大小不大于析取数时,如果获得分配推论,则全称选择和存在选择是等价的。

更新日期:2023-09-29
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