In this paper I take side on externalist incompatibilism. However, I intend to radicalize the position. First, based on my criticism of Burge's anaphoric proposal, I argue that there is no reasoning‐transparency: the reasoner is blind to the reasoning he is performing. Second, assuming a global form of content‐externalism, I argue that “in the head” are only logical and formal abilities. That is what I call “bite the bullet and swallow it too.”.