First, consider the following infinite collection of real numbers. Describe in your own words how these numbers are constructed (that is, describe the procedure for generating this list of numbers). Then, using Cantor's diagonalization argument, find a number that is not on the list. Give at least the first 10 digits of the number and explain how to find the rest. How do you know that your number is not on the list? 0.123456789101112131415161718 . . . 0.2468101214161820222426283032 . . . 0.369121518212427303336394245 . . . 0.4812162024283236404448525660 . . . 0.510152025303540455055606570 . . .