Mental Hurdle 3: Infinity
Posted 04-27-2008 at 04:56 PM by DK
How big is infinity?
Ok, obviously Infinity is infinite, since thats what it is and all, but did you ever think that there could be different sizes of infinity?
Ok think of the numbers 1, 2, 3, 4, 5... ∞
They never end. An infinite number of numbers
Now think 0.5, 1, 1.5, 2, 2.5, 3 up to ∞
Thats twice as many numbers going into infinity as just the whole numbers.
Essentially its an infinite number of numbers which has twice as many as the infinite number of whole numbers.
As always you can apply this to every fraction there is, which just so happens to be infinite, so in the end you get an Infinite number of Infinite numbers of numbers in an infinite scope, which itself can be any of infinite sequences.
This is why I never liked math
Ok, obviously Infinity is infinite, since thats what it is and all, but did you ever think that there could be different sizes of infinity?
Ok think of the numbers 1, 2, 3, 4, 5... ∞
They never end. An infinite number of numbers
Now think 0.5, 1, 1.5, 2, 2.5, 3 up to ∞
Thats twice as many numbers going into infinity as just the whole numbers.
Essentially its an infinite number of numbers which has twice as many as the infinite number of whole numbers.
As always you can apply this to every fraction there is, which just so happens to be infinite, so in the end you get an Infinite number of Infinite numbers of numbers in an infinite scope, which itself can be any of infinite sequences.
This is why I never liked math
Total Comments 8
Comments
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Yup.
This is also why I sucked at math and the only class in school I actually had to pay attention or just downright fail it big time. It's just filled with flaws and annoying backstabbing formulas  |
Posted 04-28-2008 at 08:27 AM by MCAV
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The numbers shown there are not so much the "numbers" in infinite, but rather the rate at which a system of numbers will reach infinite.
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Posted 04-28-2008 at 09:54 AM by Cursed
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infinity is beyond comprehension, what youve shown us is nothing
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Posted 04-28-2008 at 12:56 PM by BalrogLord
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Quote:
Originally Posted by Cursed
The numbers shown there are not so much the "numbers" in infinite, but rather the rate at which a system of numbers will reach infinite.
Kind of like saying theres 6billion people on the planet, but each of those are made of trillions of cells, each of them are made of billions of atoms etc. |
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Posted 04-28-2008 at 03:17 PM by DK
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Quote:
infinity is beyond comprehension, what youve shown us is nothing
And the watered down version of this blog would be: There's no limit of numbers (?) |
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Posted 04-28-2008 at 04:25 PM by BiOCaAM
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You realise that infinity isn't an actual number right?
You cannot say how many numbers it would take to get to infinity. It's impossible. At what point do you say "Right, we've reached infinity. How many numbers have we said?"? There is no point at which you can say that as infinity is a term used to say that something is unlimited. How can something be "an infinite number of numbers which has twice as many as the infinite number of whole numbers" when the term infinite takes all of these into account anyway? |
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Posted 06-22-2008 at 08:01 AM by Jesco
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infinity = 1/0, so yeah it isn't a tangible number.... an example of proper usage of infinite is usually in relative terms, such as 1,000,000 is essentially infinite relative to numbers such as 1.0, 1.5, 2, etc. (think population genetics)
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Posted 06-22-2008 at 11:44 PM by Dios k de la muerte
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I'm posting on this old blog because it is math-related and I'm all about math.
It's interesting, there are actually different levels of infinity. For example, there are an infinite number of integers, and an infinite number of rational numbers, but it can be shown that there are the same number of integers as rationals. However, there are more real numbers than integers. |
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Posted 12-05-2008 at 07:12 PM by Aidan
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