I don\'t know that Montag chose to remember from Ecclesiastes. It seems, as they are heading back to the city, that it just comes to him from his past reading. The quote from my version of the book reads, \"And on either side of the river was there are tree of life, which bare twelve manner of fruits, and yielded her fruit every month; And the leaves of the tree were for the healing of the nations.\"
Now what I know of Ecclesiastes is very little other than it emphasizes appreciating God\'s daily gifts of simple pleasures and work; however, this would fit in well with Montag\'s realization of life\'s simple pleasures. The world of Fahrenheit 451 has sped up so much so that people are walled off from one another and let the little pleasures of life and family get away from them. Just look at how odd Clarisse\'s family appears, yet they value the simple things in life.
The passage quoted above is important too in that in symbolizes the new knowledge that the \"book men\" are going to pass on to the remnants of civilization left in the city after the bombing. The knowledge from the books in their heads will lead to the healing and restoration of life.