Because he would agree about premise (1), Harclay was forced to rethink the very idea of composition. He does this by finessing the notion of ‘touching’ in order to argue that although indivisibles can touch each other in the line they compose, they do not therefore have parts, and so are still properly indivisible. In this way Harclay can keep premise (1) and by side-stepping premise (2), avoid the conclusion in (4).