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Overview
General Formal Ontology (GFO)
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Subsections
16.1 Comparison to DOLCE
In this section we briefly discuss some similarities and differences
between GFO and DOLCE. Figure 3
presents a tree of the DOLCE categories as shown in
(39). In reference to that report, we omit a
comprehensive introduction of DOLCE herein and discuss the basic
distinctions in combination with the comparison, roughly following the
order of the GFO elements presented in sections
4 to 13 . For an overview
of DOLCE categories, refer to figure 3.
Figure 3:
Taxonomy of Basic Categories in DOLCE (39, p. 14).
![\begin{figure}\centerline{\includegraphics[width=\linewidth]{dolce-tree.ps}}
\end{figure}](Timg346.png) |
In DOLCE, levels of reality are not introduced
explicitly. It seems that the levels are reflected in the DOLCE
taxonomy of endurants, since physical, mental and social objects are
distinguished therein. Here the question arises why the distinction
between physical, mental and social entities is only embodied in the
taxonomy of endurants, and is not present with respect to DOLCE
perdurants and qualities. In GFO we explicitly distinguish three
levels of reality, but we have not yet elaborated on levels for
specific categories (cf. sect. 4).
DOLCE is an ontology of particulars. The root element of
the DOLCE hierarchy is ``Particular'', understood to be an entity having
no instances. This corresponds to our notion of an individual.
Universals are mentioned in (39), but
excluded from the ontology itself. Hence, we observe that DOLCE
supports neither the distinctions provided in GFO concerning
sets and items, nor concerning the typology of categories. However, it
seems that our notion of set is similar to the DOLCE category ``Set'',
which in DOLCE is only indicative. In the case of unary universals,
DOLCE refers to the meta-ontology presented in
(27).
16.1.3 Time and Space
A time or a space model is not built directly into DOLCE.
Instead, the representation of
various models of space and time is permitted,
which can be introduced by means of qualities and their associated
qualia (the latter are similar to our quality values, cf. sect. 16.1.5). The temporal and spatial locations of entities are
understood as individual qualities, with temporal and spatial regions
regarded as qualia, while regions are ``abstract particulars'' (this term
indicates a similarity with GFO abstract individuals). In the GFO,
spatial location is modelled in terms of spatial regions and relations,
like occupation and location; temporal location is based on time
regions and projection relations. In addition, presently the GFO
provides a model for time and space, adopting ideas from Brentano.
However, we admit that there is the possibility of differences between
the time and space models of distinct ontological levels.
GFO chronoids and space regions, respectively, can be reconstructed in
the context of DOLCE as time intervals and space regions.
However, time
and space boundaries are not yet contained in DOLCE. Perhaps they can
be integrated, but this should be examined carefully, because of the
inclusion of time and space under qualities and
qualia in DOLCE. It should also be stressed that the GFO approach to
time is not equivalent to the common view of intervals composed
of points. Rather, a novel solution has been presented in terms of the
coincidence relationship (cf. sect. 5.1).
Moreover, in the case of material structures, we have introduced the
notion of an individual quality called extension-space, related to a
material structure by a specialized inherence relation. This may
appear similar to the category of spatial location of
DOLCE, but note that extension-space and the space
occupied are completely distinct entities.
The DOLCE distinction between endurant and perdurant is
based on the behavior of entities in time. Endurants are entities that
can change in time, are wholly present at any time of their existence,
and have no temporal parts but their parts are time-indexed. They also
participate in perdurants. GFO distinguishes two aspects of these
phenomena of endurants introduced as in DOLCE:
persistence through time and being wholly present
at a time-boundary. This has produced two categories instead of
endurant alone: persistants and presentials (cf. sect. 6.1).
The notion of persistant refers to the idea of
persistence through time as attributed
to DOLCE's endurant. However, persistants are not
considered in GFO as individuals but as universals. Accordingly, we
assume that they do not change (directly), but rather that several of
their instances, all of which belong to the category of presentials,
can have different properties.
Presentials, on the other hand, can be generally interpreted as
DOLCE endurants, but without temporal
extension. They reflect the aspects of being
wholly present at a time of their existence and being involved in
processes (in GFO by being the projection of a process to a
time-boundary). Hence we can interpret GFO material structures and
material objects, respectively, as DOLCE physical endurants and
physical objects (at a time-boundary). Material/physical objects in both
ontologies satisfy the criterion of unity. Altogether, we can say that
the DOLCE category of endurant can be reconstructed in GFO terms by
using the categories of persistants and presentials, whereas the
separation of these two aspects in GFO is prevented
in DOLCE, since there are no universals.
DOLCE's deep taxonomy of endurants, especially concerning
non-physical objects, is not yet covered by the GFO. Here two remarks
seem relevant. First, at present the GFO is not meant to provide a
deep taxonomy, neither of endurants nor of any other
category. Second, we intend to solve the problem of social and
mental entities in a systematic way, based on the theory of levels of
reality.
16.1.5 Properties, Property Values, Qualities, and Qualia
The GFO categories that concern properties and their
values correspond rather well to DOLCE qualities, qualia
and quality spaces. In GFO, qualities are individuals that are
existentially dependent on and related to other individuals, called
their bearers. Entities of both categories are connected by means
of the has-property relation (or inherence, if bearers are restricted
to material structures). This corresponds to DOLCE, where qualities
inhere in particulars, upon which they depend specifically
constantly. Moreover, (39) speaks of quality
types for domain ontologies, which resemble GFO properties, more
precisely property universals. Of course, these are not entities in
DOLCE (since they are universals).
The next question concerns interpreting DOLCE
quales. On the one hand, they appear as GFO property values, since
they may be shared among different particulars. But on the other hand,
quales are positions of some quality in a quality space, where the
latter is not considered to be universal but individual. Thus, the more
difficult question is determing what a quality space in DOLCE is. We believe that
the notion of a measurement system (cf. sect. 9.1) comes closest to
quality spaces. Accordingly, quality spaces are interpreted as systems
of property value universals in GFO. As a consequence, an interpretation of
our individual property values is difficult in DOLCE. We have not found
any DOLCE category that corresponds to individual property values.
Both ontologies provide the classification of properties with respect
to the kind of entity which has the property (i.e., in which it
directly inheres in the case of DOLCE). DOLCE
distinguishes the categories of physical, temporal and abstract
qualities, which directly inhere in physical structures, perdurants
and abstracts, respectively. The GFO classification is only
preliminary, but one can observe that the qualities of material
structures correspond to DOLCE physical qualities, while abstract
qualities are not distinguished in GFO. Moreover, we have not
yet considered whether all properties of processes have the character of
temporal properties. Neither DOLCE nor GFO consider properties of
universals. In this regard, DOLCE refers to the meta-ontology in
(27) and to the methodology OntoClean
(26). Properties of universals are still a matter
of debate in the case of GFO, also in connection with a refined typology
of universals.
For properties, we can conclude that the DOLCE model of
qualities may be reconstructed in GFO terms, but in the opposite
direction, one cannot represent individual property values in DOLCE. On
the other hand, GFO supports the DOLCE classification of qualities
only partially.
DOLCE perdurants are introduced in contrast to endurants
as entities that happen in time, are partially present in time, have
temporal parts and cannot change in time. Intuitively, we can say that
the notion of perdurant corresponds to our notion of
occurrent. Moreover, it seems that the GFO notions of process, state and
change can be interpreted in DOLCE as stative, state and event,
respectively.
However, there are several differences. First, states and events are
relative categories in the GFO, and there is an additional distinction
between intrinsic and extrinsic changes. Secondly, the typologies of
occurrents in GFO and of perdurants in DOLCE are not
compatible. The typology of perdurants is based on the notions of
homeomericity and cumulativity. In section
8.4 we discuss these notions and reject this
way of classification for individual perdurants.
Apart from space and time boundaries, there are some other kinds
of entities in GFO that are not easily interpretable in the current
version of DOLCE. In particular, this refers to GFO
relations and relators41, as well as to such entities like
situations, configurations, situoids and configuroids. Facts are the
only notion that is closely related to those mentioned and indicated in
DOLCE.
Table 2:
Mapping Selected Categories of GFO to DOLCE
| GFO |
DOLCE |
| Entity |
(Entity) |
| Set |
(Set) |
| Item |
- |
| Category |
- |
| Universal |
- |
| Persistant |
(Endurant) |
| Concept |
- |
| Symbolic Structure |
- |
| Individual |
Particular |
| Space-Time Entity |
Temporal Region Space Region |
| Chronoid |
Time Interval |
| Time Boundary |
- |
| Region |
Space Region |
| Topoid |
- |
| Spatial Boundary |
- |
| Abstract Individual |
Abstract |
| Concrete Individual |
Endurant Perdurant Quality |
| Presential |
(Endurant) |
| Material Structure |
Physical Endurant |
| Material Object |
Physical Object |
| Material Boundary |
(Feature) |
| Configuration |
- |
| Simple Configuration |
- |
| Situation |
- |
| Fact |
Fact |
| Occurrent |
(Perdurant) |
| Process |
Stative |
| Continuous Process |
- |
| Discrete Process |
- |
| State |
(State) |
| Configuroid |
- |
| Situoid |
- |
| Change |
(Event) |
| Instantaneous Change |
- |
| Continuous Change |
- |
| Property |
Quality |
| Property Value |
Quale |
| Relator |
- |
| Material Relator |
- |
| Formal Relator |
- |
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Table 3:
Mapping DOLCE to GFO categories (roughly)
| DOLCE |
GFO |
| Particular |
(Individual) |
| Endurant |
(Presential, Persistant) |
| Physical Endurant |
Material Structure |
| Amount of Matter |
Amount of Substrate |
| Feature |
(Material Boundary) |
| Physical Object |
Material Object |
| Agentive Physical Object |
- |
| Non-agentive Physical Object |
- |
| Non-physical Endurant |
(Levels) |
| Non-physical Object |
- |
| Mental Object |
(Concept) |
| Social Object |
- |
| Agentive Social Object |
- |
| Social Agent |
(Social Role) |
| Society |
- |
| Non-agentive Physical Object |
- |
| Perdurant |
(Occurrent) |
| Event |
(Change) |
| Achievement |
(Achievement) |
| Accomplishment |
(Accomplishment) |
| Stative |
Process |
| State |
State |
| Process |
- |
| Quality |
Property |
| Temporal Quality |
- |
| Temporal Location |
- |
| Physical Quality |
- |
| Spatial Location |
- |
| Abstract Quality |
- |
| Abstract |
(Space-Time-Entity Set Fact) |
| Fact |
Fact |
| Set |
Set |
| Region |
(Space-Time-Entity), (Measurement System) |
| Temporal Region |
Time-Region |
| Time Interval |
Chronoid |
| Physical Region |
- |
| Space Region |
Space Region |
| Abstract Region |
- |
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Robert Hoehndorf
2006-10-18
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