私を覚えて！
すべてを約束できる
I can promise all that I have now
明日はないから
since there's no tomorrow
昨日よりちょっとマシな絆を
now more than ever, let's try to believe
信じてみようか？
better than we have done
I can promise all that I have now
明日はないから
since there's no tomorrow
昨日よりちょっとマシな絆を
now more than ever, let's try to believe
信じてみようか？
better than we have done
Infinity
Posted December 1st, 2012 at 08:11 PM by droomph
A CD has an infinitely amount of results to record. It can record every noise that has happened in the universe, and yet, it's still finite in its ability to record.
There are an infinite amount of noises it can record, yet it can only record so much, because its "digits" are finite, and their "values" are painfully finite.
And what's the longest time that is possible to record? If the universe has ever been a point, it means that it has a limit, however large. If it has a limit, then it means it has a finite amount of states it can be in, unless, in which case, means that we are arbitrary, and the laws of nature don't exist, and we're merely a coincidence. Which is true, but in our universe, with our laws of nature, it doesn't work that way, meaning that our infinitesimally large and humongous universe is only a part of a bigger infinity.
And then, we have the number. It has infinite numbers between any rational number, because you can always add another number to the end of a decimal. However, because we can subtract a number from a number, say 6-4, it means there is a finite amount of numbers, however small and indiscreet, inside of it. We can move from Point A to Point B, simply because there can't be an infinite amount of values between 1 and 2. There has to be a limit, however small.
But then, we could always take two "absolute" points, and say, "here is the middle of Point 1/∞ and Point 2/∞, two points, which by definition, shouldn't be allowed to exist. But if it's finite, then there's always the possibility we could look at it and go, "hey, there's the middle of those two."
And the last, and most convincing, reason that our infinity is only finitely small, is this little symbol:
If it was truly infinite, no symbol would be able to introduce the idea of infinity. It would be so big, our brains, no, our universe, wouldn't be able to handle it. It would be a contradiction of ideas - that a concept with no limit can be expressed with a limited idea. There is no limit, and therefore, the symbol, and thus the idea, should have no limit.
Yet, we can express it in a symbol about 16, or 32 electrons long. It's simply just not infinite by any measure, so it can't be used to describe something with infinite capacity.
There are an infinite amount of noises it can record, yet it can only record so much, because its "digits" are finite, and their "values" are painfully finite.
And what's the longest time that is possible to record? If the universe has ever been a point, it means that it has a limit, however large. If it has a limit, then it means it has a finite amount of states it can be in, unless, in which case, means that we are arbitrary, and the laws of nature don't exist, and we're merely a coincidence. Which is true, but in our universe, with our laws of nature, it doesn't work that way, meaning that our infinitesimally large and humongous universe is only a part of a bigger infinity.
And then, we have the number. It has infinite numbers between any rational number, because you can always add another number to the end of a decimal. However, because we can subtract a number from a number, say 6-4, it means there is a finite amount of numbers, however small and indiscreet, inside of it. We can move from Point A to Point B, simply because there can't be an infinite amount of values between 1 and 2. There has to be a limit, however small.
But then, we could always take two "absolute" points, and say, "here is the middle of Point 1/∞ and Point 2/∞, two points, which by definition, shouldn't be allowed to exist. But if it's finite, then there's always the possibility we could look at it and go, "hey, there's the middle of those two."
And the last, and most convincing, reason that our infinity is only finitely small, is this little symbol:
∞
If it was truly infinite, no symbol would be able to introduce the idea of infinity. It would be so big, our brains, no, our universe, wouldn't be able to handle it. It would be a contradiction of ideas - that a concept with no limit can be expressed with a limited idea. There is no limit, and therefore, the symbol, and thus the idea, should have no limit.
Yet, we can express it in a symbol about 16, or 32 electrons long. It's simply just not infinite by any measure, so it can't be used to describe something with infinite capacity.
Total Comments 5
Comments
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ah yes stephen hawkingPosted December 1st, 2012 at 08:55 PM by Harlequin 
Updated December 1st, 2012 at 09:15 PM by Harlequin -
why are you so meanQuote:Originally Posted by Harlequin
ah yes stephen hawkingPosted December 1st, 2012 at 09:17 PM by droomph 
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I'm not sure I understand the logical step between "if there's a limit to the universe, our laws of nature don't exist". Could you explain it further? :3Posted December 2nd, 2012 at 12:09 AM by Toujours
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Posted December 2nd, 2012 at 01:25 AM by Cosmotone8
Updated December 2nd, 2012 at 01:33 AM by Cosmotone8 -
I never said that. I said, if there isn't a limit to the universe, our laws can't exist, because it could be anything at any whatever, and no coherent rules could be made, because no patterns could be made. And that's not how our universe works, is it?Quote:Originally Posted by Toujours
I'm not sure I understand the logical step between "if there's a limit to the universe, our laws of nature don't exist". Could you explain it further? :3
Posted December 2nd, 2012 at 02:15 AM by droomph
Updated December 2nd, 2012 at 02:36 AM by droomph
