The analogy is more apt than saying e.g. your leg has a brain due to the nerves in it. The nervous system in the gut has a lot of neurons in it (the human gut h

The analogy is more apt than saying e.g. your leg has a brain due to the nerves in it. The nervous system in the gut has a lot of neurons in it (the human gut has about as many as a cat's brain), and they are not just simple sensory or motor neurons relaying information, many are at least similar to the kind of 'decision-making' neurons you find in the brain.