Re:'Proof' Review: Finding Truth in Numbers
by bravesoul2 on Wednesday June 11, 2025 @12:23AM
(#44244188)
I thought it encoded all information but the catch is the index into it contains as much information as what you are trying to get out so it is effectively a very slow, negatively efficient zip format.
[ Parent
| on HN ]
That's basically equivalent to saying that the natural numbers encode all information [0], it's just that the index to say which natural number you mean is rather long.
However for natural numbers, the 'decompression' is very fast. Much faster than for Pi.
[0] You can make this precise via Bijective Numeration https://en.wikipedia.org/wiki/Bijective_numeration to handle leading zeroes nicely.
Re:'Proof' Review: Finding Truth in Numbers
by bravesoul2 on Wednesday June 11, 2025 @03:17AM
(#44245022)
That's right. But it does give a feel for what infinity is to our finite minds. It ain't just big numbers. It's all computation! (For a certain definition of computation)