This post is to ask the entitled question, "Can a trier-of-fact in a U.S.-based criminal trial overcome the observer's paradox in order to represent itself as an impartial trier-of-fact?" I propose that the answer to this post's question is the following: A trier-of-fact in a U.S.-based criminal trial cannot overcome the observer's paradox in order to represent itself as an impartial trier-of-fact because the trier-of-fact would not have a valid solution to the problem of the criterion in order to represent itself as an impartial trier-of-fact, whereby the expression "the trier-of-fact would not have a valid solution to the problem of the criterion in order to represent itself as an impartial trier-of-fact" may be considered synonymous with the expression "there was, is, and will be insufficient evidence to the contrary." What has significantly led to this post's question has been a reflection on a recent journal entry of mine. By some route, for what route I do not recall, I have come to read of the observer's paradox in relation to my journal's citation of the "observer effect." The observer's paradox is similar to the observer effect in that in an effort for an observer to accurately observe a system, the observer interjects its existence into the thing being observed (because of the one or more physical interactions between the observer and the thing being observed) which leads to observational bias being generated as a result of any effort to make an accurate observation of the thing being observed. The question posted by the paradox is how to make an observation of a system without becoming part of that system, whereby it may be considered that the desire is to be able to make an observation of the system independent of becoming involved with the system. Relative to this StackExchange post's question, the "observer" is the trier-of-fact in a U.S.-based criminal trial. A trier-of-fact may be a judge or a jury during the trial stages of a U.S.-based criminal case: I also consider that there might be a panel of judges, but I'm not aware of any U.S.-based criminal cases like such. According to U.S. law, due process (as per the 5th and 14th amendments of the Constitution of the United States of America) is required to occur, respectively, in federal and state criminal cases. As part of the need for due process in a federal criminal case, due process in a federal criminal case requires that a trier-of-fact in a criminal trial be impartial, as per the 5th and 6th amendments of the Constitution of the United States. In a state criminal case, the 14th amendment of the Constitution of the United States requires that a trier-of-fact be impartial. Relative to the observer's paradox, it is my presumption that no trier-of-fact can overcome it: This implies that observer bias occurs in any efforts by the trier-of-fact for the said trier-of-fact to impartially adjudicate over a U.S.-based criminal case.
Let's place the observer's paradox into perspective. According to the need for due process in U.S. criminal law, a trier-of-fact in a U.S.-based criminal trial is supposed to impartially observe evidence in order to determine whether or not the evidence is representative of actual evidence of a defendant's guilt. However, in any effort to do such, according to the observer's paradox, the trier-of-fact will interject its bias (or "its partiality") into its observation of the evidence in the case, thus generating an observer's bias as to whether or not the evidence that has been presented is representative of actual evidence of a defendant's guilt, whereby said observer bias would prevent a measurement of whether or not the the evidence that has been presented is represented of actual evidence of a defendant's guilt without said observer bias. This becomes very relevant when an observer is determining whether or not it is reasonable to consider presented evidence to be representative of actual evidence of or not of a defendant's criminal guilt.
Based on what I have studied from epistemology, in order for a trier-of-fact to over-come the observer's paradox, I presume the trier-of-fact would need a valid solution to the problem of the criterion because for a trier-of-fact in a U.S.-based criminal trial to have a valid solution to the problem of the criterion would enable the said trier-of-fact to know whether or not its observation of anything related to the criminal trial is accurate. However, relative to there being any valid solution to the problem of the criterion, I have read that "...there are no known solutions to the problem of the criterion, and it appears, properly speaking, unsolvable." You should aid in helping to provide a solution to this StackExchange post's question because it will aid in bringing down the oppressive system that is the U.S. criminal justice system.