Sequences can repeat
For example 0.234234234234... is an infinite repeating number
If pi contained itself, it would repeat
Demonstration:
(For the sake of this demo, I'm condensing pi into its 1st few digits)
So, here's "pi": 3.141592
If pi contained itself, it would be 3.1415923141592
But if it contained itself, the self that it contained would also contain itself, making it 3.141592314159231415923
Which means it would be a never ending sequence of 3141592
Which means it's repeating.
Unless I'm wrong, this means that pi can never contain itself
No, you sort of are wrong. With an infinite amount of digits you get every string of numbers possible, including other infinitely long serious of digits. What you presented isn't what the original question was about, because that
A) implies pie is a finite digit and
B) implies that an infinite strings can't contain infinite strings,
Both of which are wrong. So yes, there is a pi within pi, The same way there are an equal number of even numbers as whole numbers, they both equal infinity/have infinite digits, and pi also has all other infinite sets of digits within itself, the way whole numbers contains the infinity of itself and the infinity of all even numbers.
Yep, pi contains pi in itself. Starting at the first digit, you get pi.
(More seriously, pi is very probably a "universe number", meaning it contains every possible integer somewhere in its decimals. Integers.)
Saying as pi is technically endless and since it is such it contains sequences in defiantly meaning yes it can include itself but only to around one billion to the fifty third power meaning every whatever that numbers name is called is a sequence of pi to a greater value or to the next hundred in the sequence
For example 0.234234234234... is an infinite repeating number
If pi contained itself, it would repeat
Demonstration:
(For the sake of this demo, I'm condensing pi into its 1st few digits)
So, here's "pi": 3.141592
If pi contained itself, it would be 3.1415923141592
But if it contained itself, the self that it contained would also contain itself, making it 3.141592314159231415923
Which means it would be a never ending sequence of 3141592
Which means it's repeating.
Unless I'm wrong, this means that pi can never contain itself
A) implies pie is a finite digit and
B) implies that an infinite strings can't contain infinite strings,
Both of which are wrong. So yes, there is a pi within pi, The same way there are an equal number of even numbers as whole numbers, they both equal infinity/have infinite digits, and pi also has all other infinite sets of digits within itself, the way whole numbers contains the infinity of itself and the infinity of all even numbers.
This explains it better than I did
(More seriously, pi is very probably a "universe number", meaning it contains every possible integer somewhere in its decimals. Integers.)