The ongoing difficulties concerning Brexit in the U.K. seem to suggest the importance of keeping your judgement implicit.
A referendum might appear to be a straightforward way to make a people's judgement. However, measurement of the people's will is only statistical. Even if we come up with a statistically significant result, there is no guarantee that the people's will would stay the same over time.
This is probably why we have members of parliament, who are elected by the people, engaged in continuing debates over issues. Real people are not numbers. Their opinions change all the time. Most crucially, their judgements are at least partially based on intuitions which are implicit, not on explicit rules or numbers.
The ongoing Brexit fiasco, which as someone who admires the culture and traditions and above all people of the U.K. greatly hopes would come to a settlement soon, does seem to show the risks involved in putting too much emphasis, a fixed significance in particular, on a specific number supposedly representing the will of the people at a given time.
Real people change. Numbers don't.
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