Universal Quantifiers

Universal quantifiers are symbols used in logic to express that a statement applies to all elements within a particular set. In predicate logic, it’s denoted by the symbol “∀”. For instance, if we say “∀x (P(x)),” it means that for every possible ‘x’, the property P holds true. This concept can be thought of as making a general claim, like stating “All humans are mortal,” where 'humans' represents a group and ‘mortal’ describes a characteristic that applies to every member of that group. Universal quantifiers help in precise reasoning about groups and rules.