Use of the Time-Turner to Help Sirius in PoA

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No: HPFGUIDX 11762

> Wouldn't it have made more 
> sense to go back to before they went to the Shrieking Shack and 
make 
> sure that Lupin took his potion?  Then they would have been able to 
> keep Peter and it would have been sorted out so that Harry could 
have 
> gone to live with Sirius.  It doesn't make sense.

Well, if you think about it, it DOES make sense. If Harry'd gone back 
and told Lupin to take his potion, then history would have been 
changed and there never would have been any reason for Harry to tell 
Lupin to take his potion, thus Lupin would never have taken the 
potion, get it? If Harry'd told Lupin to take his potion, he would 
have been stuck in a grandfather-esque paradox. 

It's not impossible that JKR herself considered this, realised there 
was no way to effectively write 'around' the paradox, and simply went 
on to use the storyline found in PoA, which - more or less - makes 
perfect sense.