One may ask why Turing designed the IG in such a peculiar manner. Why thefuss about the woman, the man, and the replacement? This does not make thepaper easier to understand. He could have introduced the IG exactly as he didwith the woman-man issue replaced by the human-machine issue and it obviouslywould not be any more confusing. The main reason that the decision concerningmachine thought is to be based on imitating a woman in the game is probably notthat Turing believed the ultimate intellectual challenge to be the capacity to act likeawoman(althoughitmaybecomfortingtoentertainthethought).Conversely,itmay be concluded that Turing believes that women can be imitated by machineswhile men cannot. The fact that Turing stipulated the man to be replaced by themachine (when he might just as easily have required the woman to be replaced bythe machine or added a remark that the choice was inconsequential) raises suchquestions, but let us not digress.

But Gisela, I want you toknow that I am doing math and having fun with it, andIconsider myself amathematician.