Patricia Williams made a number of claims concerning the methods and p
ractise of cladistic analysis and classification. Her argument rests u
pon the distinction of two kinds of hierarchy: a 'divisional hierarchy
' depicting 'evolutionary' descent and the Linnean hierarchy describin
g taxonomic groups in a classification. Williams goes on to outline fi
ve problems with cladistics that lead her to the conclusion that syste
matists should ''eliminate cladism as a school of biological taxonomy
and to replace it either with something that is philosophically cohere
nt or to replace it with 'pure' methodology, untainted by theory'' (Wi
lliams 1992, 151). Williams makes a number of points which she feels c
ollectively add up to insurmountable problems for cladistics. We exami
ne Williams' views concerning the 'two hierarchies' and consider what
cladists currently understand about the status of ancestors. We will d
emonstrate that Williams has seriously misunderstood many modern comme
ntators on this subject and all of her ''five persistent problems'' ar
e derivable from this misunderstanding.