- #1
cyclogon
- 14
- 0
Hello,
Is there a reason why you cannot use the diagonal argument on the natural numbers, in the same way (to create a number not on the list)
Eg: Long lists of numbers
123874234765234...
234923748273493...
234987239847234...
Take the diagonal (1,3,4,...) then, say, modulo 10 each number 1 becomes 2, 3 to a 4, 4 to a 5 etc
to get a new number (2,4,5,...) that can't be in the list? Where did I go wrong :)
Many Thanks
Is there a reason why you cannot use the diagonal argument on the natural numbers, in the same way (to create a number not on the list)
Eg: Long lists of numbers
123874234765234...
234923748273493...
234987239847234...
Take the diagonal (1,3,4,...) then, say, modulo 10 each number 1 becomes 2, 3 to a 4, 4 to a 5 etc
to get a new number (2,4,5,...) that can't be in the list? Where did I go wrong :)
Many Thanks