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To me, it is astonishing bordering on incomprehensible that, of all the possible pro-guilt arguments one might put forward, Knox's statements could somehow be considered the strongest. This is one of these things that make me feel like I'm living in a separate world, an isolated subculture of education and rationality. Because to me, it is utterly axiomatic that people's statements and memories are the absolute last place you look for strong, solid evidence that some physical event happened a certain way. Maybe if you're a historian researching some event with little reliable evidence, and you don't have anything else, you can get away with saying "well, this person is usually reliable, and we don't have any particular reason to doubt their account, so we'll accept it". But in a contemporary criminal case, where there are abundant physical traces, why would you ever assign even the slightest credence to an incoherent statement that you were able to browbeat out of a foreign student after hours of interrogation, days after the fact?
Knox's confession, including, indeed perhaps especially including the accusation of Lumumba, isn't even in the top five best pro-guilt arguments. (And it's not like there are any good ones to begin with.) You'd be better off trying to argue that Knox had motive because she hated Kercher for criticizing her bathroom habits. Or citing the damning piece of evidence that tipped off Edgardo Giobbi: the fact that she and Sollecito were seen eating pizza just days after the crime.
There is no actual way in which Knox's statement connects her to the crime. There is no logical inferential path that permits the rational deduction of guilt from the premise of the accusation of Lumumba. It is a purely emotional argument, which runs basically like this:
(1) What happened to Patrick was really crappy.
(2) What happened to Patrick was caused by Amanda.
(3) Therefore, Amanda did a really crappy thing to Patrick.
(4) Therefore, Amanda is a really crappy person.
(5) Murder is something that really crappy people do.
(6) Therefore, Amanda must have committed murder.
If this reasoning were valid, then I would be obliged to believe that Giuliano Mignini must have killed Meredith Kercher, because he has accused not one but two innocent people of the crime, and they remain in jail to this day!