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Virtual Logic: The First Distinction

机译：虚拟逻辑：第一个区别

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摘要

In this column, we listen to a dialogue between George and Bertrand, discussing the properties of distinctions. They discuss the possibility of a first distinction, and realize that the first distinction is not literally achieved by a thinking being, because the very act of reflection multiplies distinctions. Nevertheless, George proposes a theory of distinctions. In this theory two distinctions are equal if and only if they have the same contents. That is, their insides must be identical and their outsides must be identical. With the idea of the equality of distinctions, George and Bertrand find that the first distinction is unique. The first distinction is characterized by its lack of content! It is very attractive to imagine a first distinction. Such a distinction harks back to deep feelings that we all have for relations of part with whole. Yet, when we analyze the logical nature of such a distinction we find that it partakes of an idealization that never is achieved in practice. In practice our worlds are always more complex than the mathematical models that we make for them.
机译：在本专栏中，我们听乔治与贝特朗之间的对话，讨论区别的性质。他们讨论了第一个区分的可能性，并认识到第一个区分实际上不是通过思想存在来实现的，因为反射的作用确实使区分倍增。尽管如此，乔治还是提出了区分理论。在这个理论中，只有当它们具有相同的内容时，两个区别才相等。也就是说，它们的内部必须相同，外部必须相同。有了区分相等的思想，乔治和伯特兰发现第一个区分是唯一的。第一个区别是缺乏内容！想象第一个区别非常吸引人。这种区别使我们回想起我们对于部分与整体的关系所拥有的深刻感受。但是，当我们分析这种区别的逻辑本质时，我们发现它具有理想化，而这种理想化在实践中是无法实现的。实际上，我们的世界总是比我们为它们建立的数学模型更为复杂。

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