How we cite our quotes: (Book.Chapter.Paragraph).
Quote #7
"We've got to get some sleep; but not both together with that hungry villain nigh, promise or no promise. Sméagol or Gollum, he won't change his habits in a hurry, I'll warrant. You go to sleep, Mr. Frodo, and I'll call you when I can't keep my eyelids propped up. Turn and about, same as before, while he's loose."
"Perhaps you're right, Sam," said Frodo speaking openly. "There is a change in him, but just what kind of a change and how deep, I'm not sure yet. Seriously though, I don't think there is any need for fear—at present. Still watch if you wish." (4.2.20-1)
There is a battle for Gollum's soul going on within him, between Sméagol (the relatively good side) and Gollum (the totally-possessed-by-the-Precious side). But there is also a battle going on between Sam and Frodo about Gollum's soul. Sam only sees Gollum as a threat and a nuisance. Frodo wants to believe in Gollum's ability to change, to find redemption. The most obvious reason why Frodo wants to see Gollum saved is that he is currently struggling against the Ring himself. But Tolkien has also claimed this lack of sympathy for Gollum as a failure on Sam's part—for more on this, check out our "Character Analysis" of Sam.
Quote #8
It had always been a notion of [Sam's] that the kindness of dear Mr. Frodo was of such a high degree that it must imply a fair measure of blindness. Of course, he also firmly held the incompatible belief that Mr. Frodo was the wisest person in the world (with the possible exception of Old Mr. Bilbo and of Gandalf). Gollum in his own way, and with much more excuse as his acquaintance was much briefer, may have made a similar mistake. At any rate, this speech [warning Gollum not to betray them, because Frodo has power over Gollum] abashed and terrified him. He grovelled on the ground and could speak no words but nice master. (4.3.27)
Excuse us for going back in time a little, but we promise: there is a point. One of the things that Gandalf scolds Gríma Wormtongue for is for constantly accusing other people of lying. Gandalf tells Wormtongue, "That word [lie] comes too oft and too easily from your lips" (3.6.126). Because Wormtongue lies all the time, he accuses others of doing the same. This idea assumes that you are more likely to suspect evil and deceit if you are evil or deceitful. Here, Sam and Gollum fall into a similar trap, though from very different perspectives. Sam thinks that Frodo is too kind to recognize when people are betraying him; Gollum (who has his own guilty conscience) assumes something similar. In fact Frodo is both kind and capable of seeing evil, which impresses his two companions.
Quote #9
"I am not going without him." His heart sank. This was too much like trickery. He did not really fear that Faramir would allow Gollum to be killed, but he would probably make him prisoner and bind him; and certainly what Frodo did would seem a treachery to the poor treacherous creature. It would probably be impossible ever to make him understand or believe that Frodo had saved his life in the only way he could. What else could he do?—to keep faith, as near as might be, with both sides. "Come!" he said. "Or the Precious will be angry." (4.6.52)
Frodo is in a moral pickle, and we don't envy him. He is wise enough to know that Gollum will be safer if he can trick Gollum to leave the pool at Henneth Annûn. But he is also wise enough to realize that Gollum will never either see why it was necessary, or trust Frodo again for having saved his life in this way. Frodo's faith in the example of Gandalf ("Frodo knew, too, somehow, quite clearly that Gandalf would not have wished [Gollum killed]" [4.6.38]) gets him into hot water with just about everyone, but maybe that's a sign of how worthwhile his mercy truly is. See, that's precisely the problem with moral choices—they are often unpopular.