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Re: pterosaurian monophyly

In a message dated 95-09-19 12:43:16 EDT, rowe@lepomis.psych.upenn.edu
(Mickey Rowe) writes (quoting Kevin Padian):

>One of the tenets of phylogenetic systematics is that you can't
>  assert convergence, you have to demonstrate it by showing that
>  another phylogeny is better supported.  And that means a full
>  cladistic analysis with all the characters. 

All too true. But what does "better supported" mean? Victorious in
synapomorphy wars? 
I have 50 characters to your 32? Suppose the "true phylogeny" is riddled with
convergences and homoplasy; how could analysis ferret this out? It's time to
start thinking about going _beyond_ cladistic analysis, even though just how
to do this is not yet obvious.