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Mathematics
General Math
Cantor Diagonalization | Find a Number Not on the List
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[QUOTE="HOI, post: 6785085, member: 567247"] Do you not know what "Cantor diagonalization" is or do you just want some one to do the work for you? The idea is that we can create a new number, not on a given list, by changing the first digit of the first number, the second digit of the second number, the third digit of the third number, etc. The first digit of the first number is "1" so write any digit except 1. Since the instructions say " use 2 and 4 when applying Cantor' argument", write "2"instead. The second digit of the second number is "5" so write "2" instead. The third digit of the third word is "3" so write "2" instead. So far that gives 222... Keep using "2" until the number you want to replace IS "2" and then use "4" instead. Now, can you explain why this guarantees, even though we have an infinite list of numbers, that this number is not any where on the list. [/QUOTE]
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Mathematics
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Cantor Diagonalization | Find a Number Not on the List
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