It is not clear from this whether he thinks of the choice principle as a ‘law of thought’, as the term ‘logical principle’ might suggest, or whether he thinks it is just intrinsic to mathematical reasoning whenever sets are involved, a position suggested by the reference to its application ‘everywhere in mathematical deduction’. By the time of his second well-ordering paper of 1908, Zermelo seems to have moved away from the idea of AC as a ‘logical’ principle in the sense of a logical law, and appears to put the emphasis more on the view of it as intrinsic to the subject matter; there it appears as Axiom IV, and, as we saw, Axiom VI of Zermelo  1908b.[25]