What if I spend 1/3 of my life sleeping, 1/3 of my life masturbating, and 1/3 of my life looking for semantically-fueled and state-of-perception discrepancies in statements? What do I gain if I just sleep and wank?
So, if you start off with 2/3 of a cookie and gain 1/3, you now have 50% more cookie that you originally had. Even if it is 33.333333% of the amount of cookie you could POTENTIALLY HAVE. You didn't gain a third, because it's a third only if you include something that you didn't already have.
Also, you say you got one-third of your cookie BACK, but the OP said EXTENDED. The amount of cookie you have is EXTENDED by 50%. The guy EXTENDED his life by 50%, but he got one-third of his life BACK. Therefore, in this case, it would be 50%.
BTW, this is to everybody: if we want to get really technical, he didn't gain any of his life. When your asleep, your still alive. What do I care, though? I haven't even seen the movie. This is just pissing me off.
Actually you are wrong. In terms of the increase it is 50% greater, but if you comapred his lifespan and say it was 60 years of waking and now it is 90 years of waking, the increase is one third of his "new" life span. It's splitting hairs really.
*** I was thinking of the immortal words of Socrates, who said, "I drank what?" ***
But he can't increase from his "new" life span because his "new" life span is 100% of his life. If you increased from that, you would be increasing the amount of time he was alive, which I would assume not to be what happened.
I know this is now an old thread with many accurate answers, but I think I can explain the situation really simply, so screw it I'm going to post it anyway. :)
The full line is: "I had become immune to sleep. I suddenly found I had 8 extra hours. My life had been extended by a third."
Let's just look at the final part: "My life had been extended by a third."
He's saying that relative to his current 24 hours, he was previously experiencing 2/3rds of awake-life; and 2/3rds of 24 is 16. Essentially he was talking in past tense.
If instead he was talking relative to his 16 hours of awake life he would need to talk in future tense and the line would instead have to be: "My life will be extended by a half."
For a simpler example consider these two perspectives: 1. I am 18 years old. I experienced my 12th birthday a third of my lifetime ago. (past tense) 2. I am 12 years old. I am half my age away from turning 18. (future tense)
16 times one and one-third = 21 and one-third hours.
16 times one and one-half = 24 hours.
If I had a 16 cm rubber band (past tense) and I had extended it by one-third it would be 21 and one-third cm. But if it had become 24 cm in length, that would mean I had extended it by one-half.