Greek philosopher of paradox fame (4)
I believe the answer is:
zeno
'greek philosopher of paradox fame' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for zeno that I've seen before include "Gr. philosopher of Elea" , "Greek philosopher of paradox fame" , "Philosopher's" , "Stoical leader" , "Old mathematician" .)