Thursday, December 25, 2014

What comes after 1? |

Another way to think about this is to look at what can come after 1, but before 2.


2 is the next integer (a counting number). But there are infinitely many real numbers between 1 and 2.


We have 1.1, 1.01, 1.001, 1.0001, and can basically do this forever.  We can make numbers that are really really close to 1, such as 1.00000000001. But we can always add more zeros, we can always make it...

Another way to think about this is to look at what can come after 1, but before 2.


2 is the next integer (a counting number). But there are infinitely many real numbers between 1 and 2.


We have 1.1, 1.01, 1.001, 1.0001, and can basically do this forever.  We can make numbers that are really really close to 1, such as 1.00000000001. But we can always add more zeros, we can always make it even closer. There is no real answer to what comes after 1.

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