# KEHOME/knowledge/ExamplesLogic/CategoricalStatement.txt # July 27, 2002 #========================# # categorical statements # # # # Richard H. McCullough # #========================# # The standard categorical statement has the form # # s S is p P # # where S is the "subject", P is the "predicate" # and s,p are optional quantifiers chosen from # # all # some # no # not # The most widely used forms of categorical statements # are type "A","E","I","O": # # all S is P # A # no S is P # E # some S is P # I # some S is not P # O #========================================= # What are the meanings of "S", "P", "is"? # In the most common case, # S and P are sets of existents # which have specific characteristics. # For example, # # man is mortal entity # # In this case, I will replace "is" by "isa*". # # S isa* P # # which means that either # # S is P (identity) # or # S isa P (subset) # In the less common case, # S is a set of existents # and P is characteristics of the existents. # For example, # # man is mortal # # In this case, I will replace "is" by "has". # # S has P