"Infinite" is a technical term with a highly specific meaning. In this case, it can't possibly be approached. It certainly can't be attained. Borges' Library

"Infinite" is a technical term with a highly specific meaning. In this case, it can't possibly be approached. It certainly can't be attained. Borges' Library of Babel, which represents all possible combinations of letters that can fit into a 400-page book, only contains some 25^1312000 books. And the overwhelming majority of its books are full of gibberish. The amount of "knowledge" that a LLM can learn or describe is VERY strictly bounded and strictly finite. (This is perhaps its defining characteristic.) I know this is pedantic, but I am a philosopher of mathematics and this is a matter that's rather important to me.