Chicken who keep running around after their heads have been cut off are a common story told by people who have grown up on farms, including my mom. I always assumed that this headless-but-alive state lasts a few seconds at best, but in the 1940s a chicken called Mike stayed alive for 18 months after it was beheaded.
That a chicken can get by without its head suggests that the head and the mind it held weren’t great to start with. Here is Werner Herzog’s low opinion on chicken intelligence.