>I can't answer that because I'm not a mathematician
So what? Mathematicians can't answer it either. It is an open question and because it is an open question claiming it is or isn't true makes no sense.
>The fact you can't encode arbitrary data in a structured-but-irrational number doesn't mean you can't encode data in a 'random' irrational number.
You can not encode data in a random number. If it is random you can not encode data in it, because it is random. I am not sure what you are saying here.
I demonstrated that numbers where the digits go on forever and never repeat exist, which don't contain every single possible substring of digits. Therefore we know that pi can either be such or a number or it is not, the answer to that is not known. Definitely it is not a property of pi being infinitely long and never repeating.
That's why I put random in quotes. Pi is not a random number. You can encode data in it eg find a place that matches your data and give people the offset. That's not very helpful for most things though.
So what? Mathematicians can't answer it either. It is an open question and because it is an open question claiming it is or isn't true makes no sense.
>The fact you can't encode arbitrary data in a structured-but-irrational number doesn't mean you can't encode data in a 'random' irrational number.
You can not encode data in a random number. If it is random you can not encode data in it, because it is random. I am not sure what you are saying here.
I demonstrated that numbers where the digits go on forever and never repeat exist, which don't contain every single possible substring of digits. Therefore we know that pi can either be such or a number or it is not, the answer to that is not known. Definitely it is not a property of pi being infinitely long and never repeating.