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A Nelsonian Response to ‘the Most Embarrassing of All Twelfth-century Arguments’
History and Philosophy of Logic ( IF 0.5 ) Pub Date : 2019-09-05 , DOI: 10.1080/01445340.2019.1656992
Luis Estrada-González 1 , Elisángela Ramírez-Cámara 1
Affiliation  

Alberic of Paris put forward an argument, ‘the most embarrassing of all twelfth-century arguments’ according to Christopher Martin, which shows that the connexive principles contradict some other logical principles that have become deeply entrenched in our most widely accepted logical theories. Building upon some of Everett Nelson’s ideas, we will show that the steps in Alberic of Paris’ argument that should be rejected are precisely the ones that presuppose the validity of schemas that are nowadays taken as some of the most trivial logical truths: (A∧B) →AB A and (A∧B) →AB B, i.e. Simplification.

中文翻译:

纳尔逊对“12 世纪最令人尴尬的论点”的回应

巴黎的阿尔伯里克 (Alberic of Paris) 提出了一个论点,据克里斯托弗·马丁 (Christopher Martin) 称,这是“12 世纪所有论点中最令人尴尬的论点”,这表明联结原则与其他一些已在我们最广泛接受的逻辑理论中根深蒂固的逻辑原则相矛盾。基于 Everett Nelson 的一些想法,我们将表明,巴黎的 Alberic 论证中应该被拒绝的步骤正是以现在被视为一些最微不足道的逻辑真理的模式的有效性为前提的步骤:(A∧ B) →AB A 和 (A∧B) →AB B,即化简。
更新日期:2019-09-05
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