time travel in PoA

[ats_fhc3]

No: HPFGUIDX 41897

Amanda said:

>Dumbledore, from his perspective (knowing that Buckbeak apparently
>disappeared, suspecting it's more), knows that H&H have to involve 
>Buckbeak. Yes, when he makes this statement, the saving of Buckbeak 
>has already occurred. However, the action which saves him will be 
>H&H's *future* action viewed from their perspective). He's giving 
>them a hint, to help them take the action, once they have used the 
>Turner, that he knows has already happened.
 
>Okay, that made sense when I typed it....did anyone follow it?

 It does make sense when you read it, but when you really start 
thinking about it, it gets very confusing. If Dumbledore hadn't 
given H&H the hint, would they have thought to save Buckbeak?  

I suppose that since Buckbeak had already turned up missing, yes, 
Dumbledore suspected that H&H were the ones to save him. So I 
suppose he HAD to give them the hint.

Now I'm confused. So, what if Dumbledore had left it entirely up to 
H&H? Or, was he forced to give them the hint, because of what had 
happened earlier? 
-Acire