Yes, we know - you can take one spell in right hand and another one in left hand. This really surprized me, and something exciting about it hides there:
Completely different mage combat style

Situation one: lets take Paralyze (distant) + Fire (touch) spells. Pretty simple ones, and could be hell powerfull with low mana comsumption (touch spells always wins comparing to ranged ones). Paralyze archer in distance, touch warrior close to you, paralyze him and run to archer. Mana drops, their HP drops, mage - invincible! Yes, you could say "what was wrong with hotkeyed spells?"/ They wasn't just THAT good-looking, I guess...

Situation 2: Battlemage with sword, enchanted for soultrap, any spell by your taste in your hand, pockets full of soulgems. Slash, burn, catch souls, regenerate mana, deal more damage, etc. Doesn't this seems to you like ultimate extermination machine?

Situation 3: (demonstrated by Todd to some magazine, if I'm correct) Life Detection + any sort of offensive spell + fog. Find them, burn them. If you couldn't see them without detection - could they fing you in the fog? (I guess, question to new Radiant) Should they?

Honestly, I loooove 2-handed magic. Especially I love the part of double spellcasting. And here's my main guess:
Will they make combo-spells?
Seriously, I think this thing SHOULD BE implemented.

My spell-combo table:

• Life Detect + any distant harm spell (fury, fire, silence, etc.) = casting harm spell on every single being withing detection radius;
  
• Telekinesis + Paralyze = lift enemy(ies?) up, making them unable to fight with sword (useless against archers and mages);
  
• Fire/Ice/Lightning spell + Shield = Firewall in front of you;
  
• Unlock + Telekinesis = disarm trap;
  
• Lock + Telekinesis = rearm trap (why not? sort of tactics);

Sure, combinations should burn mana as hell... Still - your suggestions about combinations?

I like the idea of combo spells, but I know for a fact telekinesis isn't in Skyrim, so that ruins the whole trap ideas.

Actually, multiple previews have confirmed that Telekinesis is in the game.

Just give me spell creation and I'll be good.

I'm really excited about 2 handed spell casting. No idea why they never did this before. It should be really fun. I'm sure the melee players will also be enjoying dual weapons. Well some of them anyway. I am curious as to how staffs and such will play into the spell casting though. An off hand that makes single handed casting extremely powerful could totally destroy the effectiveness of 2 handed casting. I guess we'll have to wait and see how all the game mechanics play out.

I can't wait to grab a bandit with a telekinesis spell, fry him with a lightning blast, an toss him off a mountain side.

Kinda sounds a lot like fable 3, you know, crossing 2 spells with one another and all that.

I think that doubling the same spell will kick more than enough ass for magic loving players this time around.

I think that putting a ranged fire spell in each hand that will completely drain your magicka in one shot and a high up vantage point would be good enough for me because a mage nuking it from mountain top is the one of the only cool things that mages can do. And that would be really useful for destroying a bad-guy's lair (you know, just to be sure).

Im sure they said touch spells are not making a Re Appearance.

Agreed.

It would break the new magic system.

No, it wouldn't.

I don't see anyway how it wouldn't.