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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Three Facets of Roles in Foundational Ontologies</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Fumiaki TOYOSHIMA</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Graduate School of Advanced Science and Technology</institution>
          ,
          <addr-line>JAIST</addr-line>
          ,
          <country country="JP">Japan</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Roles remain such a nebulous concept notwithstanding its ubiquity in a wide variety of domains, including conceptual modeling, that no clear consensus exists over the nature of roles in the foundational ontology research. In this paper I argue that there are three closely intertwined, but conceptually separate role-related notions: a role specification, a role position, and a role performance. I further contend that different accounts of roles might depend on which of the three concepts takes priority over the other two. Additionally I propose that there be three possible interpretations of the ontological nature of roles, each of which requires careful cost-benefit analysis: a family resemblance concept, a functionally definable concept, and a practically unifiable concept.</p>
      </abstract>
      <kwd-group>
        <kwd />
        <kwd>role</kwd>
        <kwd>foundational ontology</kwd>
        <kwd>grounding</kwd>
        <kwd>specification</kwd>
        <kwd>family resemblance</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        The notion of role is present in a number of different domains, ranging from
knowledge representation [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] and conceptual modeling [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] to cognitive science and linguistics.
Accordingly there is a high demand for a common definition of role that would helps
us address the problem of semantic interoperability among information systems [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. To
meet this need, roles have been extensively researched in formal ontology for the last
few decades and virtually all foundational ontologies nowadays have the role category.
The role concept nonetheless remains so elusive that the understanding of role can vary
greatly from one foundational ontology to another.2
      </p>
      <p>
        Intimately connected to this topic is the extant issue of whether a single definition
of role is possible [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. Despite some attempts to define roles explicitly (e.g., [
        <xref ref-type="bibr" rid="ref2 ref6">2,6</xref>
        ]), for
instance, Loebe [7, p. 144] says: “there is no single kind of roles, and no unique kind of
entities on which roles depend.” If the answer to this question is no, then the challenge
to be met is (how to build a model for specifying) how roles are to be individuated or
1Corresponding Address: Graduate School of Advanced Science and Technology, Japan Advanced
Institute of Science and Technology (JAIST), 1-1 Asahidai, Nomi, 923-1292, Japan; E-mail:
fumiaki.toyoshima@jaist.ac.jp, fumiakit@buffalo.edu.
      </p>
      <p>
        2For instance, Guarino [4, p. 14] says: “I have been always fascinated by the subtle aspects of this notion
[role], and by its ubiquitous relevance for practical applications. (...) It is not a surprise therefore to see roles
appearing in BFO [Basic Formal Ontology [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]], but their characterization as realizable specifically-dependent
continuants reflects a very peculiar understanding of the role notion which, although useful, would require a
broader framework.” Note that we will later look at the BFO conception of role.
classified. Some noteworthy related studies (e.g., [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]) notwithstanding, it is still largely
unexplored how a certain theory of role is connected to the meta-ontological choices [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]
behind the general ontological background against which the theory is constructed.
      </p>
      <p>In this paper I endeavor to investigate the nature of role from the perspective of
foundational ontology. To do so, I leverage the notion of grounding that has been
recently developed in the field of philosophical ontology. As we will see below,
grounding is supposed to specify how some phenomena (e.g., a table exists) hold in virtue of
more fundamental phenomena (e.g., subatomic particles are ‘arranged table-wise’) and,
quite importantly, to be closely linked to the notion of explanation (which may be called
‘ontological explanation’) in philosophical ontology.3</p>
      <p>More specifically, I consider what grounds the concept of role-playing that is central
to the general discussion on role. This work amounts to an attempt to seek an adequate
explanation of role-playing, thus leading to a better understanding of role. It is found on
close examination that there are three notions (which I call the ‘role triad’) that ground
role-playing: a role specification, a role position, and a role performance. Defying easy
analysis, each of the role triad is to be elucidated by analogy and with examples.</p>
      <p>Then I hypothesize that different accounts of role might hinge on which of the role
triad is ontologically prior to the other two concepts. To illustrate this, I explore three
theories of roles and which element of the role triad each theory take to be primary. I
further clarify that and how each theory’s ‘role choice’ is conceptually firmly glued to
the (meta-ontological choices of) foundational ontology on which the theory is based.</p>
      <p>I finally suggest that there be three possible interpretations of the nature of role: a
family resemblance concept, a functionally definable concept, and a practically unifiable
concept. As will be detailed below, each of them has both advantages and disadvantages.
For instance, a family resemblance conception of role lacks practical virtue while it is
arguably most theoretically tenable. All these findings will contribute to bridging the gulf
between foundational investigation into the nature of role and and modeling processes
associated with roles in various application domains.</p>
      <p>The paper is structured as follows. Section 2 offers some preliminary knowledge on
basic ontological assumptions and grounding. Section 3 presents and elucidates each of
the role triad. Section 4 illustrates, with three selected accounts of roles, the relationship
between meta-ontological choices in foundational ontologies and their ‘role choices’.
Section 5 proposes three possible understandings of the nature of role. Section 6
concludes the paper with some brief remarks on future directions of research.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Preliminaries</title>
      <sec id="sec-2-1">
        <title>2.1. Basic Ontological Assumptions</title>
        <p>Since this paper is partly devoted to comparative analysis of foundational ontologies, I
assume only the basic categories and relations that are relatively widespread in
foundational ontologies. Concrete individuals (which exist in space and/or time) fall into two
types: continuants (aka endurants) such as objects and occurrents (aka perdurants).
Characteristically, continuants can persist, whereas occurrents extend through time.
Continuants (e.g., a stone) can participate in occurrents (e.g., a fall of the stone).</p>
        <sec id="sec-2-1-1">
          <title>3I borrow the expression of the form ‘arranged X-wise’ from van Inwagen [10].</title>
          <p>
            I stipulate throughout the paper that roles are continuants, since roles are most
frequently take to be a special kind of properties (in the broad sense of the term) in the
relevant literature on role (e.g., [
            <xref ref-type="bibr" rid="ref11 ref6">6,11</xref>
            ]). I also assume that a role is a continuant to be
played by something (player), since the notion of role-playing is generally thought to be
a key to a deeper understanding of the nature of role.4
          </p>
        </sec>
      </sec>
      <sec id="sec-2-2">
        <title>2.2. Grounding as a Conceptual Tool</title>
        <p>
          As a conceptual tool for my investigation, I exploit the notion of grounding that is
supposed to provide ontological explanation.5 In particular, I employ its most standard
version: fact-grounding [
          <xref ref-type="bibr" rid="ref16 ref17">16,17</xref>
          ]. According to this doctrine, grounding is a relation between
the more fundamental fact and the less fundamental fact. For instance, the fact that a
table exists is grounded in the fact that some subatomic particles are arranged table-wise.
        </p>
        <p>
          This theory is typically coupled with the claim that the notion of grounding is (a kind
of) ontological explanation (e.g., [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ]). In the example of the table, the latter fact grounds,
and ipso facto explains ontologically, the former fact.6 In addition, the grounding relation
is strict partial ordering (i.e. irreflexive and transitive), as the received view [
          <xref ref-type="bibr" rid="ref18">18</xref>
          ] goes.
        </p>
        <p>To be concrete, I will examine which fact grounds the fact that Mary is a student,
given that a student is paradigmatic example of a role. For the sake of simplicity I
introduce the notation ‘&lt;&gt;’ to refer to facts: e.g., &lt;Mary is a student&gt;. More specifically, I
will consider which fact grounds &lt;Mary plays a student role&gt;, which is plausibly taken
to ground &lt;Mary is a student&gt;. The gist of my argument is that there are three candidate
facts which correspond to the role triad and which ground &lt;Mary plays a student role&gt;
and, by the transitivity of grounding, &lt;Mary is a student&gt;.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Three Facets of Roles</title>
      <sec id="sec-3-1">
        <title>3.1. Role Specification</title>
        <p>What grounds &lt;Mary plays a student role&gt;? In order to be a student, Mary must gain
admission to the university (say ‘ABC-U’) of her choice. To attain this goal, she needs
to read and understand the admission policy and then make an effort to satisfy all its
requirements. Mary’s role-playing has, in this respect, a deontic or normative dimension.</p>
        <p>This observation may lead us to interpret role-playing as meeting the constraints or
conditions that are ‘embedded’ in the role. In my terminology, role-playing in this sense
is meeting a role specification, or the specification that is determined by the role.
Therefore &lt;Mary plays a student role&gt; is grounded in &lt;Mary meets a role specification&gt;.</p>
        <p>
          I appeal to the notion of specification to capture the above-mentioned normative
feature of role. The ontological nature of a specification remains obscure, but Turner [
          <xref ref-type="bibr" rid="ref19">19</xref>
          ]
argues that a specification is something that has “correctness jurisdiction over an
arte4As we will see in Section 4, however, Basic Formal Ontology [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ] exceptionally specifies the role-having
relation, but not the role-playing one [12, p. 58].
        </p>
        <p>
          5For an introduction to the general notion of grounding, see e.g., Schneider and Correia [
          <xref ref-type="bibr" rid="ref13">13</xref>
          ], Trogden [
          <xref ref-type="bibr" rid="ref14">14</xref>
          ],
and Raven [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ].
        </p>
        <p>
          6The proponent of this view might argue that, just as some kind of causal explanation is given merely by
stating the causal relation (what causes what), so some kind of ontological explanation is given merely by
stating the grounding relation (what grounds what) [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ].
fact” [19, p. 147]. By ‘correctness jurisdiction’ Turner means that the specification places
“empirical demands on the physical device” [19, p. 144]. If an artifact is not built to a
specification, then the artifact is defective with respect to that specification.7
        </p>
        <p>
          A role specification is thus well understood with an analogy with artifacts (cf. [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ]).
In the U.S., for instance, an aircraft has to satisfy the strict specifications laid down by
the Federal Aviation Administration (FAA). This means that an aircraft-like aggregate
of mechanical parts is not an aircraft unless it is built exactly to the FAA specifications.
Similarly, Mary fails to play a student role (and to be a student) unless she meets the role
specification (admission requirements) given by ABC-U.
        </p>
        <p>Not surprisingly, the specification view of role-playing fits well with the notion of
social role (e.g., president) because a specification is determined by our intentionality.8
To paraphrase in my framework, &lt;Mary plays a student role&gt; is grounded in &lt;Mary
meets a role specification&gt;, which is in turn grounded (via a complex chain of grounding
relations) in some relevant social facts: e.g., &lt;ABC-U is nationally authorized&gt;.</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Role Position</title>
        <p>There is nevertheless another candidate for what grounds &lt;Mary plays a student role&gt;.
As an ABC-U student, Mary can use various facilities and enjoy educational
opportunities (e.g., taking classes). Seen from another perspective, she locates herself, in playing
a student role, in a specific situation where she can do something role-related.</p>
        <p>Following this intuition, one may think that Mary’s role-playing consist in her
occupying the kind of special place (which I call a ‘role position’) that allows her to do
something that is associated with the role. For this reason one may say that &lt;Mary plays
a student role&gt; is grounded in &lt;Mary occupies a student role position&gt;.</p>
        <p>
          A role position can be elucidated by an analogy with a relative place [
          <xref ref-type="bibr" rid="ref22">22</xref>
          ]. Given
the Newtonian conception of absolute space, both absolute places and relative places
persist and may be occupied by various (material) objects at various times. Unlike
absolute places (which are parts of absolute space that are independent of objects), relative
places stands in fixed spatial relations with one or more objects (reference objects [
          <xref ref-type="bibr" rid="ref22">22</xref>
          ]).
Examples include places in and around a ship whose reference object is the ship.
        </p>
        <p>
          A role position is like a relative place. Role positions stand in a fixed conceptual
relation towards one or more entities (which I call ‘role reference entities’ and which
are sometimes called ‘context’ in the literature [
          <xref ref-type="bibr" rid="ref23 ref7">7,23</xref>
          ]).9 In playing a student role, Mary
occupies the student role position that exists relative to ABC-U.
        </p>
        <p>
          The analogy between role positions and relative places offers an interesting
interpretation of the alleged relational nature of roles [
          <xref ref-type="bibr" rid="ref11 ref3 ref6">3,6,11</xref>
          ]. One salient feature of relative
places is that they may move relative to one another when their reference objects move
relative to one another. Using Donnelly’s [
          <xref ref-type="bibr" rid="ref22">22</xref>
          ] example, when a ship moves relative to the
7Duncan [20, pp. 16-17] illustrates this point: “For example, if I build a physical implementation of a stack
and the device does not allow me to add and remove items from the top of the device, my device is defective
relative to the specification of a stack.” It is also well worth noting his ontological interpretation (which I do
not present owing to spatial limitations) of Turner’s conception of specification based on some categories taken
from Basic Formal Ontology [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ].
        </p>
        <p>8Turner [19, p. 147] says: “Our intentional stance determines what we take to be the specification: something
is a specification if we give it normal force over the construction of an artefact.”</p>
        <p>9I am using the term ‘conceptual’ in the very broad sense of the term. It may be argued that the partisan of
role positions is responsible for clarifying the relationship between them and their role reference entities.
earth, places with the ship as their reference object (e.g. the ship’s hold) move relative to
places with the earth as their reference object.</p>
        <p>Similarly, role positions may ‘conceptually move’ (e.g., changes their related
functions) relative to one another when their role reference entities ‘conceptually move’
relative to one another, although the notion of conceptual movement is currently a
placeholder and it is to be further clarified. For instance, when a human resource department
changes its importance with respect to its company, personnel director role positions
(whose role reference entity is the human resource department) change their relationship
with executive role positions (whose role reference entity is the company).</p>
        <p>
          The positional view of role-playing has two characteristics. First, it would lead to a
classification of roles according to what role reference entities are and what the
‘occupiers’ of role positions are (e.g., [
          <xref ref-type="bibr" rid="ref24">24</xref>
          ]). Second, and reasonably, it meshes with the notion
of relational role (e.g., the lover and the lovee in a love relationship). This is supported
by the observation that an ontological commitment to relational roles presupposes
positionalism, according to which “the distinction between the claims made in, for example,
‘Abelard loves Eloise’ and ‘Eloise loves Abelard’ is explained by differences in the roles
(or positions) attributed to the relata” [25, p. 80, my emphasis added].10
        </p>
      </sec>
      <sec id="sec-3-3">
        <title>3.3. Role Performance</title>
        <p>There is yet another possibility for what grounds &lt;Mary plays a student role&gt;. As said
above, Mary can do many things (e.g., getting a student discount) because she is an
ABC-U student. A clearly visible difference between Mary and non-ABC-U students is,
for instance, that she is able to acquire a degree from ABC-U, whereas they are not.</p>
        <p>This consideration may result in the idea that Mary’s role-playing resides essentially
in her role-related performance, or rather her ‘power’ to do something role-related.11 I
say that, generally speaking, role-playing in this sense is giving a role performance. Thus
&lt;Mary plays a student role&gt; is grounded in &lt;Mary gives a student role performance&gt;.</p>
        <p>
          It is important to note that a player of a role (performance) has only to possess the
role-related ‘power’ instead of actually demonstrating it, although I use the phrase ‘give a
role performance’ for the sake of simplicity. In playing a student role, Mary does not need
to use any facility or take any class; she only needs to be able to do them.12 In this sense,
the notion of a role performance may be intimately related to deontic powers [
          <xref ref-type="bibr" rid="ref28 ref29">28,29</xref>
          ] in
the context of social ontology.
        </p>
        <p>
          On the one hand, the performance view of role-playing would be easier to
understand than the other two approaches discussed above, since it is explicable in terms of an
analogy with the intuitively less complicated notion of ‘power’ than a specification or a
relative place. On the other hand, the onus is on the proponent of this view to pin down
10See Marmodoro and Yates [
          <xref ref-type="bibr" rid="ref26">26</xref>
          ] for an introduction to ontology of relations. See Fine [
          <xref ref-type="bibr" rid="ref27">27</xref>
          ] for a critique of
positionalism (which he formulates). See also Donnelly [
          <xref ref-type="bibr" rid="ref25">25</xref>
          ] for a revised version of positionalism.
        </p>
        <p>11Boella, Torre and Verhagen [3, p. 5] say: “(...) behavior should not be disregarded as a main feature of
roles.”</p>
        <p>12Strictly speaking, Mary would have to comply with the rules and regulations imposed by ABC-U in order
to play a student role. It could be therefore argued that, in general, a player of a role needs to give some sort of
role performance, however trivial it may be.
precisely the interrelationship between a role performance and its intimately related
concepts: e.g., dispositions, functions, and capabilities.13</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Case Studies</title>
      <sec id="sec-4-1">
        <title>4.1. A Descriptive Ontology for Linguistic and Cognitive Engineering (DOLCE)</title>
        <p>
          Masolo et al. [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ] propose a general formal framework for social roles in compliance with
a Descriptive Ontology for Linguistic and Cognitive Engineering (DOLCE) [
          <xref ref-type="bibr" rid="ref37">37</xref>
          ]. The
basic idea is that social roles are (social) concepts which are defined by descriptions and
which, in virtue of those descriptions, classify in a time-relative way continuants (other
than concepts; which I will henceforth omit to mention). In other words, a social role is
a concept that classifies continuants at time t in such a way that they satisfy at t ‘all the
constraints stated in the description’ of that concept.
        </p>
        <p>A concept and a description both fall into the DOLCE category of non-agentive
social concept: “an endurant that: (i) is not directly located in space and, in general,
has no direct spatial qualities; (ii) has no intentionality; (iii) depends on a community of
intentional agents, e.g., a law, an economic system, a currency, an asset ...” [6, p. 272].
Furthermore, some basic features of descriptions are offered as follows [6, p. 271]:
descriptions are created by (communities of) intentional agents at the time of their
first encoding in an expression of a ‘public’ (formal or informal) language
different expressions (possibly in different languages) can be associated to the
same description, provided they have the same semantic content. I.e., descriptions
have a unique semantic content
descriptions must be encoded on (possibly multiple) physical supports
[Original footnote: “Printed or recorded texts obviously count as physical support, but
memory or other cognitive processes should probably be considered as well (think
of orally transmitted tales, rules and contracts)”]
descriptions are usually accepted (adopted) by (communities of) intentional
agents, but a description can exist even if no one accepts it, as long as it remains
encoded; acceptation can change in time
descriptions cease to exist when their last physical support ceases to exist
It is not hard to see that the approach by Masolo et al. to social roles pivots around
a role specification in the role triad. My notion of role specification coincides with the
DOLCE notion of description. Both of them are based on agents’ intentionality and aim
to specify how continuants should be like by satisfying the constraints provided by the
role specifications and the descriptions, respectively.</p>
        <p>
          On my view, the choice by Masolo et al. of a role specification is not only because
they focus primarily on social roles but also because they take DOLCE as a general
13On dispositions: see e.g., Mumford [
          <xref ref-type="bibr" rid="ref30">30</xref>
          ] and Molnar [
          <xref ref-type="bibr" rid="ref31">31</xref>
          ] for a general introduction to dispositions. See
Ro¨hl and Jansen [
          <xref ref-type="bibr" rid="ref32">32</xref>
          ] for a formal application of dispositions to the (biomedical) ontology research. On
functions: see Ro¨hl and Jansen [
          <xref ref-type="bibr" rid="ref33">33</xref>
          ] for a survey of theories of functions in philosophy as well as in formal ontology.
On capabilities: see Daniel [
          <xref ref-type="bibr" rid="ref34">34</xref>
          ] and Smith [
          <xref ref-type="bibr" rid="ref35">35</xref>
          ] for an ontological (dispositional) approach to capabilities in
accordance with Basic Formal Ontology [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ]. It is interesting to note Wahlberg’s [
          <xref ref-type="bibr" rid="ref36">36</xref>
          ] claim that deontic powers
may be sometimes mistakenly identified with dispositions (causal powers).
ontological setting. DOLCE claims to represent the categories with a clear cognitive bias
that are associated with, e.g., human cognition and socio-cultural artifacts.14 In the role
triad, a role specification is arguably the most cognitive and linguistic element.
        </p>
      </sec>
      <sec id="sec-4-2">
        <title>4.2. General Formal Ontology (GFO)</title>
        <p>
          Loebe [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ] provides a general account of roles in alignment with General Formal
Ontology (GFO) [
          <xref ref-type="bibr" rid="ref38">38</xref>
          ]. According to his basic role model, an entity (player) plays a role such
that that role bears the role-of relation with a context. This view of role centers on a role
position in the role triad, as evidenced by his explicit reference to the notion of context,
which I take to be a role reference entity as a key term for a role position.
        </p>
        <p>Loebe also offers a classification of roles according to the kinds of the player,
roleplaying relation, the role-of relation, and the context. This is, as said above, characteristic
of the positional view of role-playing. Roles fall into social roles and abstract roles, the
latter being in turn classified into relational roles and processual roles.15 Processual roles
are, roughly, roles that are participated in (played) by objects and that bear the parthood
(role-of) relation with occurrents (context).16 For instance: “When John moves his pen,
he and the pen form participants of that process, and the processual role which John plays
captures what John does in that participation” [7, p. 135].</p>
        <p>The GFO theory of role would deal better with abstract roles than social roles.17 This
can be seen as a consequence of GFO’s choice of a role position in the role triad. As was
above pointed out, relational roles are well treated with a role position, whereas social
roles with a role specification.18 Processual roles are sufficiently characterized in terms
of a role position because they consist in having occurrents as role reference entities.</p>
        <p>Finally, part of the reason why the GFO account of role is committed to a role
position may lie in GFO’s meta-ontological choice of what it calls ‘integrative realism’.</p>
        <p>14“Regarding the content of the ontology, the aim of DOLCE is to capture the intuitive and cognitive bias
underlying common-sense while recognizing standard considerations and examples of linguistic nature. DOLCE
does not commit to a strong referentialist metaphysics (it does not make claims on the intrinsic nature of the
world) and does not take a scientific perspective (it is not an ontology of, say, physics or of social sciences).
Rather, it looks at reality from the mesoscopic and conceptual level aiming at a formal description of a
particular, yet fairly natural, conceptualization of the world” [37, pp. 279-280].</p>
        <p>15Loebe [7, p. 137] explains abstract roles as follows: “Due to their similarity, relational and processual
roles are subsumed by a role type called abstract roles which is contrasted with social roles. Abstract roles can
be functionally characterized in a uniform manner, namely as a mechanism of viewing some entity - namely
the player - in a defined context, i.e., in a more complex entity with interrelated other “notional components”.
Put differently, players of abstract roles are looked at in an external manner in contrast to viewing them as
self-contained entities focusing on their internals like their properties or parts.”</p>
        <p>
          16I am using the word ‘roughly’ because, assuming the type level, a player of a processual role is the GFO
notion of persistant and its context is the GFO notion of process. See Herre [
          <xref ref-type="bibr" rid="ref38">38</xref>
          ] for details on those GFO
categories. This does not have much bearing on my argument, however.
        </p>
        <p>17Loebe [7, p. 136] says: “Social roles appear to be the least understood role type in our model. For instance,
switching to role-of, we must admit that contexts remain fairly obscure for social roles.”</p>
        <p>18Loebe [7, pp. 137-138] says: “(...) encouraged by the diverging ontological categories of contexts, we
believe that it will be hard to find further commonalities, especially between abstract and social roles. It may
thus be difficult to add much more to a general theory of roles, at least as long as a similarly broad range
of examples is to be covered.” Loebe [7, p. 154] also says: “In our opinion, it turns out that the aspects of
abstract and social roles are intermingled in the literature, especially concerning relational and social roles.” I
would submit that the same roles (e.g., student roles and professor roles) are interpretable in terms of a role
specification as well as in terms of a role position.</p>
        <p>
          Herre [38, pp. 303-304] elucidates this doctrine by comparing it with what he calls
‘Smithian realism’ [
          <xref ref-type="bibr" rid="ref40">40</xref>
          ] (which I will below discuss): “No definition for reality
representation is provided. This fundamental gap can never be closed without the use of concepts,
i.e. there is no representation of reality without concepts.”19 By my lights, one advantage
of a role position would be to afford us a moderate stance on ontology, disentangling us
from a forced choice between pure conceptualism (cf. [
          <xref ref-type="bibr" rid="ref39">39</xref>
          ]), which would lead to a role
specification, and robust realism, which would lead to a role performance.
        </p>
      </sec>
      <sec id="sec-4-3">
        <title>4.3. Basic Formal Ontology (BFO)</title>
        <p>Basic Formal Ontology (BFO) defines a role as follows: “A realizable entity that (1)
exists because the bearer is in some special physical, social, or institutional set of
circumstances in which the bearer does not have to be, and (2) is not such that, if this realizable
entity ceases to exist, then the physical make-up of the bearer is thereby changed. A role
is thus always optional” [5, p. 184].</p>
        <p>A realizable entity is: “A specifically dependent continuant entity that has at least
one independent continuant as its bearer, and whose instances can be realized
(manifested, actualized, executed) in associated processes of specific correlated types in which
the bearer participates” [5, p. 183]. A specifically dependent continuant is then: “A
continuant entity that depends on precisely one independent continuant for its existence. The
former is dependent on the latter in the sense that, if the latter ceases to exist, then the
former will as a matter of necessity cease to exist also” [5, p. 185].</p>
        <p>The BFO conception of role clearly focuses on a role performance in the role triad.
An entity a plays a role because, for an external reason, a has a BFO-role which is unique
to a and which can be realized in the kind of occurrents (typically a’s behaviors) in which
a participates. For instance, Mary is a student in virtue of her student role that can be
realized in, for instance, her behavior of taking classes.</p>
        <p>BFO’s ‘role choice’ would be primarily motivated by its meta-ontological adoption
of ontological realism: “The realist methodology is based on the idea that the most
effective way to ensure mutual consistency of ontologies over time and to ensure that
ontologies are maintained in such a way as to keep pace with advances in empirical research
is to view ontologies as representations of the reality that is described by science. This
is the fundamental principle of ontological realism” [40, p. 139]. In the role triad, a role
performance is arguably most likely to be the object of empirically scientific inquiry.</p>
        <p>I make two further comments on BFO-roles that would help us understand better
the relationship between meta-ontological choices and their related ‘role choices’. First,
BFO specifies the role-having relation, but not the role-playing relation: “An entity is
sometimes said to play a role, as when a passenger plays the role of a pilot on a
commercial plane in an emergency, or a pyramidal neuron plays the role occupied by a damaged
19Herre [38, p. 305] further elucidates integrative realism as follows: “the nodes in an ontology are labeled
by terms that denote concepts. Some of these concepts, notably natural concepts, are related to invariants of
material reality. Concepts are represented in individual minds and are founded in society. The same is true for
individuals to which individual concepts correspond. The interrelations between universals, concepts, symbols
and society are realized by various relations, including the relation of correspondence (between concepts and
universals, and individual concepts and real individuals), the relation of representation (between concept and
individual mind), the relation of foundedness (between concept and society), and the instantiation relation. We
summarize that the restricted view of Smithian realism cannot be an ontological-philosophical foundation for
the field of conceptual modeling and, in particular, for computer-science ontologies.”
stellar neuron in the brain; but neither the person nor the pyramidal neuron have those
roles. BFO 2.0 only specifies the has role relation” [12, p. 58].</p>
        <p>Seen from the viewpoint of grounding, the former ‘pilot-role fact’ and the latter
‘neuron-role fact’ are better grounded in &lt;A passenger meets the pilot role
specification&gt; and &lt;A pyramidal neuron occupies the stellar neuron role position&gt; than &lt;A
passenger gives the pilot role performance&gt; and &lt;A pyramidal neuron gives the stellar
neuron role performance&gt;, respectively.</p>
        <p>BFO’s specification of the role-having (but not role-playing) relation implies that
BFO-roles focus primarily on a role performance, but neither a role specification nor a
role position. Using the Mary-student example, &lt;Mary plays a student role&gt; is grounded
in &lt;Mary gives a student role performance&gt;, which is in turn grounded, within the BFO
framework, in &lt;Mary’s student role is (can be, more precisely) realized&gt;.</p>
        <p>Second, it is suggested that some usages of the term ‘role’ be covered in another way
than BFO-roles: “The term “role” can, however, be used in a different sense in contexts
such as Jane’s being the seventh person to fill the role of director of this institute, or Joe’s
being the third person to play a particular role in a play. “Role” in this sense is being
used to designate what BFO calls a generically dependent continuant” [5, pp. 100-101].</p>
        <p>A generically dependent continuant is: “A continuant that is dependent on one or
other independent continuants and can migrate from one bearer to another through a
process of copying. We can think of generically dependent continuants as complex
continuant patterns either of the sort created by authors or designers or (in the case of DNA
sequences) brought into being through the processes of evolution” [5, p. 179].</p>
        <p>It is not hard to see a close conceptual affinity between the BFO notion of
generically dependent continuant and the DOLCE notion of description. It could be argued
that a DOLCE-description is the sort of BFO-generically dependent continuant that is
connected to agents’ intentionality. In this respect, BFO attempts to ground, e.g., &lt;Jane
fills the role of director of this institute&gt; and &lt;Joe play a particular role in a play&gt; in
&lt;Jane meets the director role specification provided by this institute&gt; and &lt;Joe meets a
role specification provided in a play&gt;, respectively.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Three Conceptions of Roles</title>
      <sec id="sec-5-1">
        <title>5.1. Family Resemblance Concept</title>
        <p>All the arguments given above would reveal the ontological nature of role: roles are
family resemblance concepts [41, Section 3]. As shown above, there are equally plausible
facts in which &lt;Mary plays a student role&gt; could be grounded. This means that there
is no single privileged concept of role; the role notion is merely partly unified by the
role triad. Moreover, different meta-ontological choices in foundational ontologies lead
to different choices in the role triad. Granted that those meta-ontological choices are
equally reasonable from a theoretical perspective, so are the associated ‘role choices’.</p>
        <p>The family resemblance view of role is a direct consequence of the present work
and it is arguably most convincing. It lacks practical virtue, however. As said, there is
considerable need for formalizing this cross-disciplinary notion in order to conceptualize
the world coherently. However theoretically tenable it may be, it would be of little help
for actual modeling processes to say just that roles are family resemblance concepts.</p>
      </sec>
      <sec id="sec-5-2">
        <title>5.2. Functionally Definable Concept</title>
        <p>
          I said that &lt;Mary plays a student role&gt; is grounded in either &lt;Mary meets a student
role specification&gt;, &lt;Mary occupies a student role position&gt;, or &lt;Mary gives a student
role performance&gt;. Instead of taking a family resemblance view of role, one may then
attempt to offer a functional definition [
          <xref ref-type="bibr" rid="ref42">42</xref>
          ] of the role-playing concept.
        </p>
        <p>The core part of my argument over role can be simplified as follows:
For any an (individual) entity x, if x plays a role, then either x meets a specification
determined by that role; x occupies a position determined by that role; or x gives a
performance determined by that role.20
Replace the term ‘role’ with a variable R, and then existentially quantify it, as follows:
9R (if x plays R, then either x meets a specification determined by R; x occupies a
position determined by R; or x gives a performance determined by R).</p>
        <sec id="sec-5-2-1">
          <title>Then define the role-playing notion as follows:</title>
          <p>x plays a role =def. 9R [(if x plays R, then either x meets a specification determined
by R; x occupies a position determined by R; or x gives a performance determined by
R) and x plays R].</p>
          <p>
            The view of role as a functionally definable concept may be a practical advance from
its family resemblance conception. Even if there may some room for improvement in
the formalization of the term ‘specification’ (e.g., [
            <xref ref-type="bibr" rid="ref43">43</xref>
            ]) and perhaps other relevant terms,
however, it does not seem that the functional definition of role will be practically usable
enough to help domain-specific modeling processes.
          </p>
        </sec>
      </sec>
      <sec id="sec-5-3">
        <title>5.3. Practically Unifiable Concept</title>
        <p>One may still wish to provide a unified concept or definition of role even at the price
of theoretical rigor. This task requires considering carefully which ‘role choice’ is
practically appropriate. For instance, one may choose a role specification, based on the
intuition that &lt;Mary meets a student role specification&gt; grounds &lt;Mary gives a student
role performance&gt;. For another example, one may take a role position because it fits
well with an apparently widely acceptable, moderate stance on ontology. This line of
investigation is to be pursued together with careful cost-benefit analysis.</p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>6. Conclusion</title>
      <p>I have argued for three claims. First, there are three role-related concepts (the role triad):
a role specification, a role position, and a role performance. Second, different accounts
of role might depend which notion in the role triad is ontologically prior to the other
two, as illustrated with close examination of three theories of role which are based on
(the meta-ontological choices of) DOLCE, GFO, and BFO, respectively. Third, there are
20To simplify matters, I am setting aside the issue of whether logical entailment fully captures the notion of
grounding that I have exploited so far.
three possible understandings of the ontological nature of role: a family resemblance
concept, a functionally definable concept, and a practically unifiable concept.</p>
      <p>
        This work on role will bring us to many future directions of research and, in
particular, there are many thorny questions to be answered regarding various associated
modeling processes. For instance, the topic of qua-individuals [
        <xref ref-type="bibr" rid="ref44">44</xref>
        ] (e.g., Mary-qua-student)
has wide implications for a representation of roles.21 The idea of the role triad will shed
light on qua-individuals, contributing possibly to a novel approach to them.22
21Synonyms for ‘qua-individual’ include ‘role holder’ [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ].
      </p>
      <p>22I thank Adrien Barton and the reviewers for some helpful comments of the paper.</p>
    </sec>
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