Abstract

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.