A paradox, it is claimed, is a radical form of contradiction, one that produces gaps in meaning. In order to approach this idea, two senses of “separation” are distinguished: separation by something and separation by nothing. The latter does not refer to nothing in an ordinary sense, however, since in that sense what’s intended is actually less than nothing. Numerous ordinary nothings in philosophy as well as in other fields are surveyed so as to clarify the contrast. Then follows the (...) suggestion that philosophies which one would expect to have room for paradoxes actually tend either to exclude them altogether, or to dull them. There is a clear alternative, however, one that fully recognizes paradoxes and yet also strives to overcome them. (shrink)