pm#partial_ordering_relation_type binary_relation that is reflexive, antisymmetric and transitive
subtype: pm#total_ordering_relation_type partial_ordering_relation that is a trichotomizing_relation
instance: pm#partial_ordering_relation pm#total_ordering_relation pm#inferior_or_equal_to pm#superior_or_equal_to pm#generalizing_type pm#specializing_type pm#constitution pm#part pm#wnMember pm#sub_collection sumo#subclass sumo#subrelation sumo#sub_attribute sumo#part sumo#sub_collection sumo#less_than_or_equal_to sumo#greater_than_or_equal_to sumo#sub_list sumo#initial_list sumo#subsumes_content_class sumo#subsumes_content_instance sumo#temporal_part sumo#before_or_equal sumo#sub_process sumo#sub_organization sumo#geometric_part
equal: sumo#partial_ordering_relation (pm)
supertype: pm#reflexive_relation_type a relation is reflexive if (?REL ?INST ?INST) for all ?INST
supertype: pm#binary_relation_type all binary relation types are instance of that object
supertype: pm#relation_type there are three kinds of relation(_types): pm#predicate_type, pm#function_type and sumo#list; both predicates and functions denote sets of ordered n-tuples; the difference between these two classes is that predicates cover formula-forming operators, while functions cover term-forming operators; a list, on the other hand, is a particular ordered n-tuple
supertype: pm#1st_order_type__1stordertype__type1 all 1st order types are implicitely or explicitely instance of that 2nd-order type
supertype: pm#type second-order type or more
supertype: pm#non_spatial_collection__nonspatialcollection__true_collection something gathering separated things (entities/situations) and that is not a spatial object
supertype: pm#non_spatial_object_that_is_not_an_attribute_or_quality_or_measure
supertype: pm#non_spatial_object__nonspatialobject abstraction or description content/medium/container (a description medium that has some spatial feature is both instance of sumo#object and pm#non_spatial_object
supertype: pm#entity something that can be "involved" in a situation
supertype: pm#thing__something___T__t___3D_or_4D_thing_or_anything_else any category (type or individual) is instance of this type; any type is also a subtype of this type
supertype: cyc#intangible The collection of things that are not physical -- are not made of, or encoded in, matter. Every cyc#Collection is a cyc#intangible (even if its instances are tangible), and so are some cyc#individuals. Caution: do not confuse `tangibility' with `perceivability' -- humans can perceive light even though it's intangible--at least in a sense.
supertype: cyc#partially_intangible__partiallyintangible The collection of things that either are wholly intangible (see cyc#Intangible) or have at least one intangible (i.e. immaterial) part (see cyc#intangibleParts). This includes intangible individuals, such as instances of cyc#Number-General or cyc#Agreement, as well as non-individuals (all of which are intangible), i.e. instances of cyc#SetOrCollection. It also includes things that have both tangible and intangible components (see cyc#CompositeTangibleAndIntangibleObject), such as a printed copy of a newspaper (as its information content is intangible) or a person (as her mental states are intangible).
supertype: pm#thing__something___T__t___3D_or_4D_thing_or_anything_else any category (type or individual) is instance of this type; any type is also a subtype of this type
supertype: pm#collection something gathering separated things (entities/situations)
supertype: pm#divisible_entity__divisibleentity many classifications under this category are application-dependant
supertype: pm#entity something that can be "involved" in a situation
supertype: pm#divisible_thing__divisiblething
supertype: pm#thing__something___T__t___3D_or_4D_thing_or_anything_else any category (type or individual) is instance of this type; any type is also a subtype of this type
supertype: sumo#abstract__entity_without_spatial_feature e.g., knowledge, motivation, measure; properties or qualities as distinguished from any particular embodiment of the properties/qualities in a physical medium; instances of sumo#abstract can be said to exist in the same sense as mathematical objects such as sets and relations, but they cannot exist at a particular place or time without some physical encoding or embodiment
supertype: pm#non_spatial_object__nonspatialobject abstraction or description content/medium/container (a description medium that has some spatial feature is both instance of sumo#object and pm#non_spatial_object
supertype: pm#antisymmetric_relation_type when for distinct ?INST1 and ?INST2, (?REL ?INST1 ?INST2) implies not (?REL ?INST2 ?INST1), that is, for all ?INST1 and ?INST2, (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST1) imply that ?INST1 and ?INST2 are identical; it is possible for an antisymmetric relation to be a reflexive relation
supertype: pm#binary_relation_type all binary relation types are instance of that object
supertype: pm#transitive_relation_type a binary_relation ?REL is transitive if (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST3) imply (?REL ?INST1 ?INST3), for all ?INST1, ?INST2, and ?INST3
supertype: pm#binary_relation_type all binary relation types are instance of that object
No statement uses or specializes pm#partial_ordering_relation_type; click here to add one.