Well, I can tell you why I have hesitated about joining the Axiom effort:

1)  Axiom gives the impression of being more difficult and abstruse than
other systems; the moment you get started you are inundated with information
about categories, domains and operations.  This has enormous strength, but
nonetheless makes Axiom appear bewilderingly complicated.

2)  The online documentation is very poor.  HyperDoc (which is itself
incomplete) under unix, and some confusing system commands such as ")d op
differentiate", ")wh th int" which produce output meaningless to the
beginning user.  There are the books, but they are no substitute for good
online help.

3)  There is not much in the way of a decent user interface.  I think
TeXmacs and console is about it?  And HyperDoc isn't obtainable from
TeXmacs.

4)  It doesn't seem to be particularly cross-platform.

5)  There seems to be some lack of cohesion amongst the Axiom developers as
to the direction in which Axiom should go.

I must admit that my main interest is in mathematics education, in which I
think a GPL CAS has enormous potential.  But at the moment I think Maxima is
ahead of Axiom on all the points I have mentioned.

-Alasdair
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