pm#type_of_relation_extended_to_quantities  relation that, when it is true on a sequence of arguments that are real_numbers, it is also true on a sequence of constant_quantites with those magnitudes in some unit of measure; for example, the less_than relation is extended to quantities; this means that for all pairs of quantities ?q1 and ?q2, [?q1,  sumo#less_than: ?q2] if and only if, for some numbers ?n1 and ?n2 and unit ?u, [q1 =  sumo#measure_fn(?n1,?u)], [q2 =  sumo#measure_fn(?n2,?u)] and [?n1, less_than: ?n2] for all units on which ?q1 and ?q2 can be measured; note that, when a relation_extended_to_quantities is extended from real_numbers to constant_quantities, the constant_quantities must be measured along the same physical dimension
  instance:  pm#equal  sumo#less_than  sumo#greater_than  sumo#less_than_or_equal_to  sumo#greater_than_or_equal_to  sumo#multiplication_fn  sumo#addition_fn  sumo#subtraction_fn  sumo#division_fn  sumo#exponentiation_fn  sumo#max_fn  sumo#min_fn  sumo#reciprocal_fn  sumo#remainder_fn
  equal:  sumo#relation_extended_to_quantities (pm)
  type:  pm#class_of_inheritable_relation_type  each instance RT of this class is a subclass of the 2nd-order_type pm#relation_type and the properties of RT can be inherited downward in the class hierarchy via the "subrelation" predicate
  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

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