1. Convinced himself it's possible
2. Convinced himself it's possible in his lifetime
3. Made arrangements to cryogenically freeze himself in the event he dies before it happens
It's just silly. We're nowhere near the ability to live forever and anyone who thinks we are has delusions of grandeur. And you can't freeze yourself to escape this reality. A planet with 7 billion people that live forever and are still actively procreating is likely to quickly have overpopulation issues. Are they really going to be looking to bring people back from the dead?
Sources: http://en.wikipedia.org/wiki/Ray_Kurzweil#Health_and_aging