MANYSORTED LOGIC

many-sorted logic: translation

A logic in which the variables range over different domains. In classical predicate calculus a proposition like ‘All Fs are G’ is represented as saying: take anything; if it is F, it is G. In a many-sorted logic the representation will be: take any F; it is G. This may accord better with natural language, and it matches traditional syllogistic forms better than the predicate calculus does.