It depends on your definition of a paradox. Zeno's Paradoxes all (now) have solutions. Even Russell's paradox can be resolved by changing the rules of set theory. Does that mean that they are not paradoxes either? I prefer to think of them as resolved paradoxes. It is a moot point as to whether a true paradox (ie one that can't be resolved) can actually exist. See
http://www.curiouser.co.uk/paradoxes/definition.htm
for a definition of the term "paradox".