Non-standard logics and grammar

Extentions to standard logic attempt to outline structure (organization, order) that we believe we see in the world.
From grammar we identify:  entities, things, objects, places
                                           actions, processes, sequences, state
                                           attributes, features, properties
                                           descriptions, qualifications
From spatial logic we have:  left-right
                                           above-below
                                           front-back
From temporal logic:           earlier-later than
From fuzzy logic:                 approximation

etc.