As a perfect answer to the people over my lifetime who would pontificate about Hofstadtler (sometimes without having read the book), I present you a supreme bad invention: the Gödel Escher Bra! Held up with Möbius Straps! (Alternate form: Eternal Golden Bra)
I thought of this in 2015 — just came across it again and laughed out loud. Still funny!
A foundational (garment) philosophy!
Maybe you can also use it as underwear somehow and then move it back up to the bra level — would that make it a strange loop?