Recent content by bozar

Oh, that's where I'm going wrong. So an infinitely large number is not a natural number. I'll do some research to figure out why. Thanks for the help. I think I know which way to go on my homework assignment now. And just because it's interesting, I ran into another...

Thanks for replying. I think I have to take back that second attempt without the zeroes. I can't come up with a closed interval subset of the natural numbers that will allow me to use diagonalization to arrive at a new number in the subset. So scratch that. Thanks. But I'm still confused...

Thanks for the reply. To answer your question: "But if you change the first digit in ...00005 to a 1 then what natural number is that supposed to represent? " I'm assuming by "first digit" you mean the leftmost. Isn't that comparable to asking what changing the last digit of a decimal...

Homework Statement This is actually only related to a problem given to me but I still would like to know the answer. From my understanding, Cantor's Diagonalization works on the set of real numbers, (0,1), because each number in the set can be represented as a decimal expansion with an...