How? He never had 16 hours he always had 24 and slept for 8. If it were extended 50% that means he would have been awake normally for 12 hours and slept for 12 hours, so not sleeping gives him 50% more time being awake. Instead he no longer sleeping for 8 hours so instead of being awake for 16 hours he is awake for 24 extending his time by a 3rd, 8+8+8 equals 24.
He always had 24 and he still had 24 when not sleeping, so he didn't extend his life at all. He extended his time being awake. If you go from 16 hours of being awake to 24, you have added 8 hours to your original 16. 8 hours is 50% of 16 hours so you have extended your (waking) life by 50%. To extend something by a third, you take 1/3 of the original number and then add it to the original number. It would work with 18 hours awake and 6 hours sleeping, since 6 is 1/3 of 18. I love maths.
Haha. I love when the person who starts a thread messes up and it just goes on and on and on.
Take the day situation out of it. If you sleep 8 hours in a 24 hour period, you spend a third of your life sleeping, rather than doing something else. Dreams or not, this could easily be viewed as "wasted" time (especially by the throngs of geniuses throughout the ages who minimized their sleep to 2-3 hours a night).
So if we lose a third of our lives to sleep, to take out that part of the equation by staying awake, you start living from that point on with a third more of your life to actively live.
Also, what a *beep* stupid line to start a post about, especially in a movie about how subjective the concept of time is, and how vital it is to focus your energy on the important parts of life.
You don't gain an extra 8 hours a day and then get 50 percent more life.
That's where the confusion lies, and that's looking at things "properly."
We don't spend half our lives sleeping. If we did, then his not sleeping would lead to getting that fifty percent back.
The math that started this post is entangled in a 24 hour day, and not in "life," which his fraction was referring to.
If you're talking about any other situation involving the numbers, then yes, the fifty percent is correct. But that's not what the movie was talking about, and thus, the math is improperly used in this post.
No, no, look, think about it like this. If you're talking about AFTER, as in, after his got the 24 hours, then yes, it's a third, his got a third more life than before, but he hasn't got a third EXTRA. Because a third of 16 is, like, uh, 5.337 or whatever, look.
You may look at it as if, he has three parts of his life, one he spends sleeping, which his now got back. But, that's not maths,
Look at it like food, if you can buy a 10 back of chocolate usualy. And now they've got a 50% extra deal, you'd get 15 bars. If you'd get 20 bars they'd say a 100% extra.
He usualy had 16 hours a day doing things. He now has 24. That's 50% extra.
He did have 16, he is now getting 50% more, let's work this out.
50% of 16 is... Gasp, 8, Now, add the 50% to 16, which makes, =O 24.
HE HAS 50% MORE. =O
In fact, I'm sure theres a chocolate bar that usualy sells 16, but quite often has 50% extra deals where you get 24,
This little chocolate bar thing makes good sense, but I still dont believe the writer of the story was incorrect in saying the character now had a third. I just like to think he has morning, noon and night(sleep) and he now had his nights back by being awake so hes gained a 3rd of awakeness or whatever.
lol...it depends on what he is referring to when he said he gained a 3rd doesnt it?...think he meant he gained a 3rd of his life(that is 24 hr day) which earlier was being wasted sleeping. but he gained 50% more of his waking life from 16hrs to 24 hrs so i guess both are right..just the the topic starter misunderstood teh dialogue in the movie..and oh yeah lets just watch the movie and not worry about math...
basicly a 1/3 of a day is 50 percent more than he was spending. It's the same thing either he's getting a 3rd of a day more or 50% more than he usually gets.
Math Problems give me a headache. Why do I care about a fly and train? The fly is going to go splat the first time it hits the train. Period, end of story.
Math Problems give me a headache. Why do I care about a fly and train? The fly is going to go splat the first time it hits the train. Period, end of story.
As a math teacher I have to say that this is not a math arguement. This is a problem of symantics. It depends upon whether one considers total time in a day or time awake. Since it would be cumbersome to state the entire hypothesis in mathematical terms, just take it at face value and enjoy the movie. It's easy to understand what he means when he says that his life has been extended by one third.
By the way, when a student in my class can defend his or her answer to a problem which is ambiguous such as this, he or she will receive credit for the answer. Good mathematicians must have good flexable minds. Unfortunately many students and teachers are too rigid in their thinking to understand the difference in a language problem and a mathematics problem.
"So when he slept he had 16 hours a day, now he had 24. That's an increase of 50%, so his life had been extended by a half."
Your math is correct but your way of thinking is not. You are calculating a different math problem. He said that his life had been extended by a third as you so well quote, that means that out of the 24 hours he gets 8 more hours which is 1/3 more. What you are saying is that he is awake 50% more than before every day which is correct but by being awake 50% more of what he used to be be is extending his life by a third (not literally but you know what he means).
If that 'Love God And Are 100% Proud Signature' makes you sick, make THIS your signature!
He's gained 1/3 (of 24) by not sleeping, thus extending his hours awake by 50% (previously 16)!
As the character does use the word "extend", his math is wrong; assuming a day consists of only 16 hours (50%). By giving up sleeping 8 hours of 24, he gained a third. Cash back.
Technically the topic-ceator is right, but well know what Sean means. He could've said something like "my waking life had been extended by a third of a day" but then it wouldn't have sounded as nice.
no, the topic-creator was wrong, and what he was saying in the first post was.... stupid, have you even read it carefully? But you were right about: "He could've said something like 'my waking life had been extended by a third of a day'"
haha i cant believe this has gotten to 3 pages of posts...
i think the whole idea was a play on the phrase that 'sleep is a third of your life'...therefore he has a third more time on his hands...it was just the quickest way for the audience to grasp the idea...instead of say, putting in 3 pages of voice overs of him arguing with himself about how much time he actually had gained in a word problem format...haha
i do see both sides of this though...
"You think you're big time?! You gonna *beep* DIE big time!!"