One thing in class today that we talked about is the Greek guy who came up with the halves theory and this interested me because when there is an infinite number of halves it would just go on forever. But then is there a limit? (a limit could be where someone would want to stop) or is there an actual end? Another thing with the universe and space and all of that is the universe infinite? Because it could just keep on going and going and going or is there an end but when you were to get to the end... What's outside of that? What is past the "limit" It is hard to think about because... it's just hard to think about something like the universe ending with a limit and then wondering what would perhaps be outside of that limit. And the whole thing about how things aren't touching is interesting too because that's the same concept of coming to a limit but yeah. That is what I was thinking about from class.
Tuesday, November 27, 2012
Halves
One thing in class today that we talked about is the Greek guy who came up with the halves theory and this interested me because when there is an infinite number of halves it would just go on forever. But then is there a limit? (a limit could be where someone would want to stop) or is there an actual end? Another thing with the universe and space and all of that is the universe infinite? Because it could just keep on going and going and going or is there an end but when you were to get to the end... What's outside of that? What is past the "limit" It is hard to think about because... it's just hard to think about something like the universe ending with a limit and then wondering what would perhaps be outside of that limit. And the whole thing about how things aren't touching is interesting too because that's the same concept of coming to a limit but yeah. That is what I was thinking about from class.
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This really seems to me like it could relate a lot to asymptotes. The halves theory, because it you graphed the area of what your cutting in halve its asymptote would figuratively be zero. This is a cool concept as it is, but when you bring asymptotes into the thought it becomes more complex. A asymptote is is a sense a limit, but depending on how you think of a asymptote and what your definition of limit is asymptote could mean something different.
ReplyDeleteFor example on a asymptotic graph if your asymptote is y=3 then range would be either y>3 or <3 for All Real.
A graph that has a x limit of 3 the domain could be x=3 or x<=3 or x<3.
So idk other people help us out here!
You confused me
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