The topic of this paper is the debate between two accounts of the continuum. On one account the continuum has discrete elements. On the other it has no discrete elements. Each account has its own strengths and weaknesses. The paper introduces several different explications of continuity before stating and discussing an antinomy and some options to resolve it. An assessment follows in which certain astute philosophical views are vetted. If the dispute concerns the reality of the continuum, there seems to be nothing that could further decide the matter. If the dispute concerns our access to the continuum, there are many adequate options. But, in either case, the dispute is not merely verbal.

中文翻译：

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连续统的两种说法之争

本文的主题是关于连续统的两种说法之间的争论。一方面，连续体具有离散的元素。另一方面，它没有离散元素。每个帐户都有自己的优点和缺点。在陈述和讨论矛盾之前，本文介绍了几种不同的连续性解释以及解决它的一些选项。随后进行了一项评估，其中审查了某些精明的哲学观点。如果争议涉及连续体的现实，似乎没有什么可以进一步决定此事。如果争议涉及我们对连续体的访问，则有许多适当的选择。但是，无论哪种情况，争论都不仅仅是口头上的。