Kiddushin for the halflings

I want to understand if consecrating ‘half a woman’ is not nonsense.
(By the way, it's on page 7:).
What does it even mean? It's about a painting that he could consecrate the whole thing (he gives her over a penny), and yet he chooses to skip the consecration. I'm trying to understand where such a hypothetical person means something, or if it's just a language problem.

Maybe I'm still not clear, if so, forgive me, this is an issue that is simply not 100% clear to me.

Again, I don't understand what the difficulty is. He wants only half of her to be consecrated to him. That's all. It doesn't mean that there is such a person or that such consecrations are reasonable and logical. The Gemara discusses a question that could be hypothetical: What is the ruling on a person who wants to consecrate only half of a woman?

Thank you very much Rabbi, in principle this is what I wanted to understand.

Why do you think there is no question here? How do you buy something for half? Either it is yours and the rights are yours and not the other person's, or you have no rights to it? And what does half mean, half of a body? Lengthwise or widthwise?

Yes, nice, Ash sharpened the point of my question. But simply put, it's hypothetical, so don't go into too much detail.
He simply made a mistake in his language [or in his thinking].

Just as there is a person who is half slave and half free, so there will be a woman who is half wife and half single. Apparently (according to another article by the rabbi) two halwits live next door to each other and an ambiguity is created that gives rise to certain laws.

Several explanations can be offered for this. Two emanations or a division of the body or the mind. What I wrote is that I do not see a problem here because there are several possible explanations. The question is which one is correct - I don't know. But that is a question, not a problem.