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If I ever committed a murder, I'd love to have some of these posters in the jury box. Their standards of allowable doubt are so incredibly narrow that I'd be able to leave a confession note on the body and still get away scott-free.
This unreasonable doubt will be impossible to satisfy. I think that it will not be worthwhile to try - there will always be a "but". I say this as a mathematician; it happens even in a place where we can actually provide rigorous proofs and theorems. Take a look at lists like this: http://www.crank.net/maths.html You'll see what I mean.