Re:Programmers generate every possible melody in MIDI to pre...
by shkkmo on Friday February 28, 2020 @09:15AM
(#22442875)
I am not the person you were originally responding to.
You don't have to enumerate all real numbers to create a mapping from real numbers to infinite byte sequences.
I am merely pointing out that the first statement only becomes false if you editorialize it to "all the possible [finite] byte sequences contain all the [infinite] possible programs". If you treat the meaning of "possible" consistently in that sentence, I believe it remains true regardless of whether you define infinity as possible or not.
You don't have to enumerate all real numbers to create a mapping from real numbers to infinite byte sequences.
I am merely pointing out that the first statement only becomes false if you editorialize it to "all the possible [finite] byte sequences contain all the [infinite] possible programs". If you treat the meaning of "possible" consistently in that sentence, I believe it remains true regardless of whether you define infinity as possible or not.