“In The Simpsons episode Itchy and Scratchy Land during a robot attack Lisa attempts to defeat the robots with the liar paradox only to find they have already been introduced to it unlike Homer who go crazy trying to figure it out.”
The writers of The Simpsons imagined a Homerian brain going crazy upon encountering the liar paradox. However this does not demonstrate to me the dumbness of the H-brain. Unsmartness, perhaps. By going loopy over the paradox, Homer’s mind redeems itself quite well imo and demonstrates its nondumbness. A truly dumb H-brain (Homer*) may (I am speculating here) not see the paradox at all; in any case, may not consider it even slightly noteworthy. I would have Homer* go looking for donuts or something, upon encountering the paradox.