Both, either, neither, all take the noun as the subject, and the predicate is singular or plural?

Both, either, neither, all take the noun as the subject, and the predicate is singular or plural?

When both is followed by a noun as the subject, the predicate is regarded as plural because it is two people or things;
When "either" is followed by a noun as the subject, the predicate verb is regarded as singular because it is any person or thing;
When "neither" is used as the subject, the predicate verb is regarded as singular because there is neither;
When all is followed by a noun as the subject, we should examine whether the noun is countable or uncountable. If it is countable, it is regarded as plural, otherwise it is regarded as singular