Oracle distinct

I have a query as follows

/* Formatted on 07/03/2011 11:41:34 AM (QP5 v5.136.908.31019) */
SELECT DISTINCT MEMBERNAME,EMAIL  FROM (SELECT MEMBER.MEMBERNAME, MEMBERADDR.EMAIL1 AS EMAIL
  FROM MEMBER, MEMBERADDR
 WHERE (MEMBER.MEMBER_ID = MEMBERADDR.MEMBER_ID) AND (MEMBER.FLAG = 0 AND MEMBERADDR.EMAIL1 IS NOT NULL)
 UNION ALL
 /* Formatted on 07/03/2011 11:41:34 AM (QP5 v5.136.908.31019) */
SELECT MEMBER.MEMBERNAME, MEMBERADDR.EMAIL2 AS EMAIL
  FROM MEMBER, MEMBERADDR
 WHERE (MEMBER.MEMBER_ID = MEMBERADDR.MEMBER_ID) AND (MEMBER.FLAG = 0 AND MEMBERADDR.EMAIL2 IS NOT NULL)) MEMBER
 ORDER BY  MEMBERNAME

OUTPUT

AMARNATH KAMATH      amarnathkamath@gmail.com
BHARATHI KAMATH       amarnathkamath@gmail.com

This is correct as per DB and query.

But I dont want duplicate email ID in ouput no matter which record it takes. I mean i need distinct on email ID no matter which name it takes.

I mean i want output like
AMARNATH KAMATH      amarnathkamath@gmail.com

second one is not required since email is duplicate though name is different