When you poll opinions of a number of people, the opinions often turn out to be logically incompatible with each other. For example, when you define "popular" o

When you poll opinions of a number of people, the opinions often turn out to be logically incompatible with each other. For example, when you define "popular" opinions as ones that are shared by at least 10% of the population, you can have a situation such as when the opinions that "the government should increase spending on A, B, C" and that "the government should reduce taxes" simultaneously meet the popularity threshold.