Scion said:
So there isnt a rule against it, you would just prefer it to not be able to happen for flavor reasons?
What? No.
There are nine alignments in D&D.
Lawful Good, Lawful Neutral, Lawful Evil.
Neutral Good, Neutral, Neutral Evil.
Chaotic Good, Chaotic Neutral, Chaotic Evil.
An Axiomatic weapon is lawfully aligned. Therefore it must be Lawful Good, Lawful Neutral, or Lawful Evil.
An Anarchic weapon is chaotically aligned. Therefore it must be Chaotic Good, Chaotic Neutral, or Chaotic Evil.
An Axiomatic, Holy weapon is lawfully aligned and good aligned. Therefore it must be Lawful Good.
An Axiomatic, Anarchic weapon would lawfully and chaotically aligned. However, none of the nine alignments support this combination; therefore, it's impossible.
-Hyp.