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Minute Physics
Actually surprised I haven't seen this on here yet. His videos are amazing. Watch them.
Tags: fuckingscience c
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#44
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rubbereh (06/01/2012) [+]
(2 replies)
That just isn't true. There is an infinite quantity of integers, and an infinite quantity of numbers between 0 and 1. They are both infinite and equally limitless. To say that one is bigger than the other completely misses the point.
#23
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N. Korean citizen (06/01/2012) [-]
doesn't make sense... for every number between 0 and 1 you can just add 1 to the last integer forever. The infinities are the same...
This is completely untrue!
There is an infinite amount of integers, and an infinite amount of decimals between EACH integer.
A good way to put it is like this
Let's say we have a decimal like this:0.8587247657464673645
We also have a similar integer: 8587247657464673645
Infinite is endless. There is an infinite number of integers.
While for each one of these infinite integers, we have infinite decimals in between them, infinite is still infinite, and thus cannot be quantified.
So while logically we COULD say there are more potential decimals, mathematically, infinite is infinite, and they are both infinite.
There is an infinite amount of integers, and an infinite amount of decimals between EACH integer.
A good way to put it is like this
Let's say we have a decimal like this:0.8587247657464673645
We also have a similar integer: 8587247657464673645
Infinite is endless. There is an infinite number of integers.
While for each one of these infinite integers, we have infinite decimals in between them, infinite is still infinite, and thus cannot be quantified.
So while logically we COULD say there are more potential decimals, mathematically, infinite is infinite, and they are both infinite.
The conclusion he drew at the end didn't make any god damn sense. If you make up a new decimal between one and zero that is different than all the others, then you just take the next integer in your sequence and assign it to that...