Interestingly enough, there are even people who do not agree with Calvinism, and who say they are not Arminians either, like Anonymous here, who agree with Pilgrim. Remember, Anonymous that the issue here is the preservation of the saints, thus, Calvinists and some others (Non- Calvinists) who agree with this doctrine do agree with Pilgrim's interpretation. Check it out.

http://bible.org/seriespage/revelation-appendix-6-book-life

http://net.bible.org/dictionary.php?word=Book%20Of%20Life

http://www.learnthebible.org/the-book-of-life.html-0

Of course, I believe that Calvinism is the most logical, and of course biblical, worldview if you hold to the "two books" position. Since mankind is dead in sin, people can not stay saved, thus God preserves our salvation.