The Importance of Intuitions in Logic

There are some senses in which some people can deny certain tenets of what are generally accepted as logical laws. Like the law of the excluded middle, something... A proposition has to be true or false. It can't be both. Same thing could be true of ethics. Maybe not quite as strongly, but you might be the only one that there are some basic moral intuitions that, yeah, some people sort of doubt or disagree with.