Gut instincts are sometimes good in situations that require very fast reactions/desicions or when there's no reliable information to decide on.
That can also apply to a murder case (or any other crime), especially during the initial investigation when there's only little data available yet.
But in cases where there's plenty of information and a long time to think about it, there's absolutely no justification to go for gut instincts, let alone putting them above logical analysis.
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Osterwelle
Again, exactly right. I would add that it varies considerably what your gut instincts are based on. AFAICS the gut instinct saying "guilty!" is based on the highly-charged accounts of the supposed character of the accused that were going round at the time; my gut instinct saying "dodgy!" in all 3 cases was based on the plausibility of the accusations as far as I knew them, and the limited knowledge I had about the evidence presented.
I can't claim always to have had this approach: in the Broadwater Farm murder case (the "forgotten" victim was the police officer PC Blakelock), when I heard about the conviction of Winston Silcott, I remember thinking "at least it looks like they've got the right guy this time" - even though I knew about the Birmingham Six, Guildford Four and Maguire Seven cases, all of which had not been resolved at the time.
My reaction was very much based on the sort of character-defining accounts of the evidence that we have seen in this case (although not so extreme, and with more "justification"). The reports described how, when police told him (falsely) that witnesses had testified against him, Silcott allegedly replied with tears in his eyes: "you ain't got enough evidence. Those kids ... they're just kids. You can't keep me away from them." The last sentence in particular (which Silcott denies he made) was taken as a defining Silcott as a dangerous man who would threaten witnesses.
What I didn't know until much later was that this disputed statement was the
only evidence presented against Silcott at his trial. There was also a picture of him standing, penguin-like with a bewildered expression on his face, at the time of his arrest, which was captioned in the press "the eyes of a killer". The other famous picture was of his wry expression when he was convicted: "Guilty - and he smiled."
Silcott was eventually cleared of the murder of PC Blakelock, but served almost 20 years for the "murder" of Anthony Nolan in a knife fight. The facts of this charge were that Nolan was one of 2 men who had attacked Silcott. After being injured in the fight, the "victim" refused medical attention and went home, but later bled to death. Silcott was on bail for this incident at the time of the Blakelock killing, but the trial took place
after the Blakelock trial. In spite of it being obviously contaminated by the false conviction, the UK Criminal Cases Review Commission refused to reopen this second case.