Taim is Demandred, there is just too much evidence. 1. Referring to Rand's gateway as travelling 2. Not being affected by thetaint after 15 years 3. Not been recognised by Bashere 4. Killing theGray man 5. Demandred gloating at the end of LoC (if he isn't Taim what has he got to gloat about?) 6. Taim is taking control of the Asha'man 7. Wanted Rand to take an Asha'man so he would spy on Rand for him 8. Hates Rand and always argues. (A few of these could be a coincidence but cummulatively it is proof Taim = Demandred) My theory on Logain is that he is Dashiva. He has used saidin to alter his appearence and invented a story of being from the Black Hills. This explains why Min doesn't recognise him, Min no longer has viewings concerning him as he is able to channel again so like AS and the other Asha'man she only sees swirls. That is why Logain was staring at Min in ACoS. Logain/Dashiva will be Rands right hand man and expose and maybe waste Taim/Demandred and lead those Asha'man who have yet to be turned to the shadow by Taim.