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Yes. log(log(log... GN))) applied X times (where X is the number of planck volumes in the universe) is still greater than X. Where log = base 10 logarithm. Ho
by Gunax 7y ago
Yes. log(log(log... GN))) applied X times (where X is the number of planck volumes in the universe) is still greater than X.
Where log = base 10 logarithm.
Hofstadter talks a bit about this abstraction in his article 'On Number Numbness'
> If, perchance, you were to start dealing with numbers having millions or
billions of digits, the numerals themselves (the colossal strings of digits)
would cease to be visualizable, and your perceptual reality would be forced
to take another leap upward in abstraction-to the number that counts the
digits in the number that counts the digits in the number that counts the
objects concerned.
- saalweachter 7y agoAnd despite that, Graham's Number is still in the countable set. :-)