Dear Alexander,

I had thought about irracional number also, but it seems to me that I can always find an integer that corresponds to a given sequence of digits of any real number.

Of course it is PRACTICALLY impossible to write an infinite sequence from right to left, just as it is impossible to right sqrt(2). One will need to stop some where in the sequence, and then there will be an integer corresponding to that sequence. Then, if one decide to continue calculating sqrt(2) and add one more digit, there will be anothe integer, and so on. I can not figure out why this 1-1 correspondence should be broken just by adding digits to an infinite sequence.

Thank you for your prompt reply,

Airton.

Copyright © 1996-2008 Alexander Bogomolny

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