The article uses Zeno’s metrical paradox of extension, or Zeno’s fundamental paradox, as a thought-model for the mind-body problem. With the help of this model, the distinction contained between mental and physical phenomena can be formulated as sharply as possible. I formulate (I) Zeno’s fundamental paradox and give a sketch of four different solutions to it. Then (II) I construct a mind-body paradox corresponding to the fundamental paradox. Through that, it becomes possible (III) to copy the solutions to the fundamental paradox on the mind-body paradox. Three of them fail. But (IV) one of them – the Aristotelian one – gives us an interesting hint. Finally, (V) this hint is pursued somewhat further and (VI) through comparison with Zeno’s fundamental paradox, the impossibility of a solution to the mind-body problem is shown again. The main new point of this article is the comparison of the mind-body problem with Zeno’s fundamental paradox. The article is a revised english version of an article published in: Allgemeine Zeitschrift für Philosophie, 23, 1998, p. 61-75.