- #1

shredder666

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## Homework Statement

In the proof that there are uncountably many real numbers between 0 and 1, one constructs a real number that turns out to be different from all the real numbers on a given (countable) list. Suppose now that the following are the first few real numbers that are on a countable list:

0.*random number*

0.*random number*

0. *random number*

0. *random number*

...

For each of the numbers below, state whether or not it could be having the beginning decimals of a number constructed according to the stipulation given in the proof. In each case, answer Yes or No.

0. *random number*

0. *random number*

0. *random number*

## Homework Equations

## The Attempt at a Solution

I'm really having difficulty understanding what the question meant by

"state whether or not it could be having the beginning decimals of a number constructed according to the stipulation given in the proof. In each case, answer Yes or No."

could you provide an explanation or perhaps some examples please?

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