Quantified Modal Logic

Quantified Modal Logic is a branch of logic that combines two key ideas: modal logic, which deals with possibilities and necessities (like "it might be" or "it must be"), and quantified logic, which uses quantifiers like "for all" and "there exists." This allows us to make statements about what is possible or necessary for various individuals or groups. For example, we can express statements like "For every person, there exists a world where they are happy." This framework helps analyze complex scenarios that involve both uncertainty and individual characteristics.