Yeah, well, there are actually a variety of opinions on this amongst your more rules lawyerly types. Suffice it to say the rules aren't actually clear on that point, but its pretty fair to say that the INTENT is yes you can. You may run into a DM now and then with different ideas.
I'd be interested to hear any lawyerly argument as to why you couldn't use a Action point while dazed. Thematically, I can see why a DM might house rule that way, but the rules as written seem pretty cut and dried.
The Dazed condition explicitly says you *can* take free actions while dazed.
The action point section says "Spending an Action Point: Free Action"
Arguing that the rules say otherwise will be a pretty tall order.
Wouldn't the general rule be the rules for using action points? It is something every PC gets, it is a built-in mechanic of the core game.
The specific rule would be Dazed. Which is a special case, a condition. Something that isn't always active or there, it is applied on specific occassions (powers and such).
Specific trumps general?
I think the argument is not "You cannot spend an Action Point while Dazed", so much as "Spending an Action Point while Dazed is of no benefit" - that is, the argument is whether the limitation of "You can take either a standard action, a move action, or a minor action on your turn" trumps the benefit of "You gain an extra action this turn". After all, gaining an additional action is of no help if you are still limited to taking only one action.
Personally, I'd rule that the additional action overrules the limitation, but I could see a DM ruling the opposite.
-Hyp.