The executioner’s statement asserts a straightforward physical precondition for beheading: you need a body attached to the head. In ordinary logic, this is uncontroversial. But Wonderland presents a head without a body—the Cheshire Cat’s grin and face float independently—so his practical rule collides with an impossible circumstance. The line dramatizes the fault line between empirical reasoning and a world where categories refuse to hold. Carroll uses the executioner’s literalism to spotlight how language and procedure can become absurd when the objects they regulate defy normal reference. The King treats “having a head” as sufficient for the act of beheading, as if definitions alone guarantee feasibility; the Queen wields command as if authority can override material constraints. Against both, the executioner represents a craftsman’s logic: tools and tasks require conditions. The comedy lies in a legalistic argument about a nonsensical fact, but the scene also critiques systems that pretend rules or orders can accomplish anything. Alice’s pragmatic diversion—refer the case to the Duchess—underscores that, in Wonderland, disputes are less solved than displaced, until the problem literally disappears.