It is speculated that Pi may be an 'infinite' number because the sequence of digits following its decimal point is of seemingly unlimited (or at least indeterminate) length
Using the same logic one may perhaps also argue that any cardinal number is also infinite, in the sense that it may be expressed in the same decimal form. E.g. "7.000.... etc"
This seems silly and counter-intuitive though because the extra digits are adding no new information.
But then, assuming pi at some point (after trillions of digits for example) began to loop back and repeat the same sequence of digits as naseum, does that also mean Pi is not infinite?
>assuming pi at some point (after trillions of digits for example) began to loop back and repeat the same sequence of digits as naseum Then it would be rational, but it's not.
If pi was infinite you could assign values to the numbers, like letters, and end up with the Library of Babble.
Nicholas Mitchell
>It is speculated that Pi may be an 'infinite' number because the sequence of digits following its decimal point is of seemingly unlimited (or at least indeterminate) length
This is true of ALL numbers you retard. >1.00000000000000000000--->repeat forever
James Jackson
Infinite non-repeating digits does not imply that all sequences are made. Pi has not been proven to be a normal number.
You misunderstand something. If it is infinite there's no way for it not to repeat. Ergo, it isn't infinite.
Justin Nelson
OP's post is him independently discovering the concept of irrationality because he apparently never learned about it in school or something. If you read his whole post he already said what you're saying and then asks if pi starts repeating itself would it then be as non-infinite as a rational number. And he's right, if pi repeated itself then it wouldn't be irrational. The worst you can accuse him of is ignorance, as opposed to the stupidity we can accuse you of for not understanding how to parse his question.
Leo Moore
>If it is infinite there's no way for it not to repeat. You're still not getting it. Not repeating does not mean all sequences are made. Example:
0.1001000100001... never repeats, but it certainly doesn't contain every sequence (in base 10 or even base 2).
Anthony Nguyen
I absolutely love the library of babel >everything you could ever say has already been recorded in it
Juan Barnes
That's not actually how it works. It generates what you search for.
Grayson Ross
aww, you've ruined the fun for me ;-;
Eli Long
That's what I'm here for.
Adam Sanders
Op here
Yes I never learned about it but discovered it myself anyway. All of you pompous egg heads studying for years to learn about something that I discovered independently while snapping off a shit at work!!!
Bentley Scott
You should have learned this in grade 5 you moron.
Angel Gutierrez
You know this information because someone explained it to you
I know because I discovered it independently using the powers of my own intellect (while breaking off a log!)
Who is the moron?
Jeremiah Lopez
Congratulations op.
Benjamin Reed
>the digits of pi repeat the same sequence fucking brainlet, that can't happen, because that sequence can be changed to the form a + b + b*c + b*c^2 + b*c^3 ..., where b is the rational number corresponding to the first iteration of the looping sequence of digits, c is 10^-(the number of digits of b), and a is the rational number corresponding to all of the digits before b. Obviously, this infinite sequence simplifies to a + b*(1/1 - c), which is rational, which can't be pi.
Daniel Ortiz
>Who is the moron?
Still you.
Levi Torres
>Obviously You didn't figure that out yourself, you either read it or were taught it by someone else.
Colton Cox
I may be the moron, but you're the brainlet.
Jace Kelly
Japs love these things. Why don't Aussies just sell them to Asians?
Liam Peterson
Mathematicians thought their mental masturbation would have relevance because they assumed the physical continuity of the universe. 20th century experiments proved otherwise, yet for some strange reason they persisted in their own infantile thought experiments. Their entire "profession" is anthropomorphized perfectly by the ageing physicist in pic related.
Juan Watson
...
Samuel Moore
>If it is infinite there's no way for it not to repeat. Prove it.