You can imagine pi for one trivial example. It has infinite details but it's not infinitely interesting. You can map it to infinite boring story (let's say John moves west/east depending on the next binary digit :) ).

Kolmogorov complexity is the formalism around that distinction.

EDIT now that I think about it - if you take PI in binary and interprete it as utf-8 - every single book every written (or that will ever be written) is in there somewhere :) And there are algorithm to calculate PI to arbitrary digit that are pretty simple.

> take PI in binary and interprete it as utf-8 - every single book every written (or that will ever be written) is in there somewhere

It isn’t proven that pi is normal. Also, even if you were to find a book in the sequence of pi, the index of where it starts would (generally) be vastly larger than the book itself.

This is totally off-topic though.

The ability to write an infinite number of strings using some system has no relation to human imagination. That's not how human imagination works.

> That's not how human imagination works.

Where do you think I got that idea from? Do you think I couldn't execute it?

Fascinating observation. How would you calculate at what point of pi converted to utf-8 contains a certain string?

That idea can be taken further to every digital file ever. You might both be interested in checking the pi file system.

https://github.com/philipl/pifs

Very cool, FFS For Fucks Sake, another file system!

Interesting 424242 is located at position 242423.

Imagination is the tool, not the storage space. The tool has boundless potential to create things in your mind. In other words, the tool is boundless or "infinite" in its ability. Given a mind that lasts forever there's no reason to believe there's a cap on what is possible for a mind to imagine and there are biological creatures that are immortal (e.g. hammerhead worms) so there's at least some reason to believe our minds could one day become immortal (at least in the sense of immune to decay).