Why did Frodo Volunteer to take the Ring?

[Guinevere]

I've been following this discussion with interest, but as usual, everything I wanted to say, has already been expressed (much better than I could say it)...by Aralithiel, Akhtene and Child of th 7th age!

I just want to add a quotation from Tolkien's letter (#246):

"Frodo undertook his quest out of love - to save the world he knew from disaster at his own expense, if he could; and also in complete humility, acknowledging that he was wholly inadequate to the task. His real contract was only to do what he could, to try to find a way, and to go as far on the road as his strength of mind and body allowed."

I do not think either, that at the time of Elrond's council the Ring had yet such a hold on Frodo that this would influence his decision.