Can I get an example of statement that can be said to be Hofstadterian?

Solution 1:

On the grounds that sentences written by Hofstadter are surely "Hofstadterian", here's a random sentence from Gödel, Escher, Bach (p. 130):

The proverbial German phenomenon of the "verb-at-the-end", about which droll tales of absentminded professors who would begin a sentence, ramble on for an entire lecture, and then finish up by rattling off a string of verbs by which their audience, for whom the stack had long since lost its coherence, would be totally nonplussed, are told, is an excellent example of linguistic pushing and popping.

Solution 2:

Hofstadt talked about levels of recursion in his book "Goedel Escher Bach" - a book which expounds upon many other things, such as strange loops (which are these peculiar not-really-thinking-though-somehow-becoming-conscious-through-entanglement "things" (for lack of a better word (though English does have many words)) that are repeatedly referred to in the book) and various scientific disciplines like Computer Science and logic (which are pretty related to each other, of course) - so if one were to be asked about a Hofstadterian statement, one could say it is very convoluted, deeply nested, and hard-to-parse but maybe not so hard to understand once you've read through it a few times =).

Solution 3:

This statement is not Hofstadterian.