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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>F. Toyoshima);</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Artifactual Functions: A Dual, Realizable-Based View</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>
        <contrib contrib-type="author">
          <string-name>Adrien Barton</string-name>
          <email>adrien.barton@irit.fr</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Kathrin Koslicki</string-name>
          <email>kathrin.koslicki@unine.ch</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>IRIT, CNRS, Université de Toulouse</institution>
          ,
          <addr-line>Cr Rose Dieng-Kuntz, 31400 Toulouse</addr-line>
          ,
          <country country="FR">France</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Université de Neuchâtel, Institute of Philosophy</institution>
          ,
          <addr-line>Espace Tilo-Frey 1, 2000 Neuchâtel</addr-line>
          ,
          <country country="CH">Switzerland</country>
        </aff>
      </contrib-group>
      <volume>000</volume>
      <fpage>0</fpage>
      <lpage>0001</lpage>
      <abstract>
        <p>In this paper we provide an ontological analysis of so-called “artifactual functions” by deploying a realizable-centered approach to artifacts which we have recently developed within the framework of the upper ontology Basic Formal Ontology (BFO). We argue that, insofar as material artifacts are concerned, the term “artifactual function” can refer to at least two kinds of realizable entities: novel intentional dispositions and usefactual realized entities. They inhere, respectively, in what we previously called “canonical artifacts” and “usefacts”. We show how this approach can help to clarify functions in BFO, whose current elucidation includes reference to the term “artifact”. In our framework, having an artifactual function implies being an artifact, but not vice versa; in other words, there are artifacts that lack an artifactual function.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;artifactual function</kwd>
        <kwd>realizable entity</kwd>
        <kwd>disposition</kwd>
        <kwd>function</kwd>
        <kwd>role</kwd>
        <kwd>Basic Formal Ontology (BFO) 1</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Artifacts and functions constitute important general categories. Each of them has been
extensively investigated, as is witnessed by the fact that, in foundational ontology research and
in philosophy, there are many extant theories of artifacts [
        <xref ref-type="bibr" rid="ref1 ref2">1,2</xref>
        ] and functions [
        <xref ref-type="bibr" rid="ref3 ref4 ref5">3,4,5</xref>
        ]. Relatedly,
the connection between artifacts and functions has been also studied, as it is traditionally
thought that “[f]unction is a salient feature of artifacts” [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] (e.g. a screwdriver and its function
to turn screws) and a formal theory of artifacts has been developed with a focus on functions
[
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].2 Both artifacts and functions are nonetheless notoriously difficult to analyze from an
ontological point of view and so is their complex relationship.
      </p>
      <p>
        This paper aims to provide an ontological analysis of so-called “artifactual functions”, as the
term “artifactual function” has been used very differently in different contexts and it is desirable
to disambiguate the meaning of this polysemous term. For this purpose, we will leverage a
realizable-centered approach to artifacts that we have developed in the recent work [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] within
2 For that matter, it has been argued, based on empirical studies, that functional features are relevant to
membership in artifact categorization [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ].
the framework of the upper ontology Basic Formal Ontology (BFO) [
        <xref ref-type="bibr" rid="ref10 ref11 ref9">9,10,11</xref>
        ]. In what follows,
when we speak of and analyze the term “artifactual function” in this paper, it does not
necessarily refer to a function in the BFO sense of the term.
      </p>
      <p>
        The paper is organized as follows. As a preparatory stage, Section 2 summarizes a
realizablebased account of material artifacts which was presented in our companion work [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. In
particular, we introduce two kinds of material entities in our terms: material canonical artifacts
and material usefacts. Section 3 proposes two respectively corresponding kinds of realizable
entities that can be referenced by the term “artifactual function”: novel intentional dispositions
(Section 3.1) and usefactual realized entities (Section 3.2). We show how this proposal can help
to clarify functions in BFO, as its current elucidation [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] includes reference to the term
“artifact” (Section 3.3). We also discuss the resulting consequence that, according to our
ontological analysis of the terms “artifactual function” and “artifact”, having an artifactual
function implies being an artifact, but not vice versa: in other words, there are other ways of
being an artifact than having an artifactual function (Section 3.4). Section 4 concludes the paper
with a brief summary.
      </p>
      <p>
        Figure 1 provides a taxonomy of classes used in this paper, including terms denoting classes
that are already established within BFO and in our companion work [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] as well as new terms
to be introduced in this paper.3 In order for a class A to be a subclass of a class B (which is
expressed by the indentation), all instances of A must be instances of B. Table 1 explains
realizable entities in BFO, i.e. dispositions, functions and roles.
      </p>
      <sec id="sec-1-1">
        <title>BFO:Material entity</title>
        <p>
          Material canonical artifact (Section 2.2; originally introduced in [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ])
Material usefact (Section 2.3; originally introduced in [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ])
BFO:Realizable entity
        </p>
        <p>BFO:Disposition</p>
        <p>
          BFO:Function
BFO:Role
Intentional realizable entity (Section 2.2; originally introduced in [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ])
Novel intentional realizable entity (Section 2.2; originally introduced in [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ])
Novel intentional disposition (Section 3.1)
        </p>
        <p>Design BFO:function (Section 3.3)
Usefactual realizable entity (Section 3.2)</p>
        <p>Usefactual realized entity (Section 3.2)</p>
      </sec>
      <sec id="sec-1-2">
        <title>BFO:Process</title>
        <p>3 For the sake of terminological clarity, we will occasionally write names for particular or token-level entities in
bold (e.g. “clay1”) and for kinds or type-level entities in italics (e.g. “Pot”), respectively. We will also occasionally
use a subscript for entity names in BFO (e.g. “BFO:function”).</p>
        <p>Definition/elucidation and explanation
A realizable entity that exists because of certain features of the physical
makeup of the independent continuant that is its bearer. It is an “internally
grounded realizable entity”: if a disposition ceases to exist, then the physical
makeup of the bearer is changed. Example: the fragility of a glass and the
flammability of a match.</p>
        <p>A disposition of a bearer with a specific kind of historical development. It is
a disposition that its bearer possesses in virtue of its having a certain
physical makeup because of how it came into being, either through
evolution (when the bearer is a natural biological entity) or intentional
design (when the bearer is an artifact).5 Example: the function of the heart
to pump blood through the body and the function of a screwdriver to turn
screws.</p>
        <p>
          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 (optionality), and (2) is not such that, if this realizable
entity ceases to exist, then the physical make-up of the bearer is thereby
changed (external grounding). Example: the role of being a student and the
role of a stone to mark a boundary.
2. Our realizable-centered approach to artifacts: In a nutshell
In this section, we will summarize our realizable-centered approach to artifacts by drawing
upon our companion work [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ]. In particular, we will explain three philosophical views
concerning the identity of diachronic identity and the informal notions of canonical artifact and
usefact (Section 2.1), the definition of the term “canonical artifact” (Section 2.2), and the
definition of the term “material usefact” (Section 2.3).
        </p>
        <sec id="sec-1-2-1">
          <title>2.1. Basic idea</title>
          <p>We illustrate some philosophical views of diachronic identity with the example of a pot made
of an amount of clay which is intentionally shaped and dried at time t1:
•
•</p>
          <p>The continuity view: At time t1, this amount of clay (clay1) continues to exist and clay1
comes to instantiate the artifact kind Pot.</p>
          <p>
            The non-continuity view: At time t1, a new material entity pot2 (which instantiates the
kind Pot) comes into being.
4 For general thoughts on realizable entities in BFO, see Röhl &amp; Jansen’s [
            <xref ref-type="bibr" rid="ref4">4</xref>
            ] and Toyoshima et al.’s [12] analysis of
being internally/externally grounded and (non-)optionality.
5 “ ‘Came into being’ here strongly suggests that a functional disposition is one whose existence helps to causally
explain the existence of the entity, or at least of the physical structure, that it is a disposition of” [10, p. 126]
•
•
•
•
•
•
a. The discontinuity view: At time t1, clay1 ceases to exist and a new material
entity pot0 comes into being.
b. The constitution view: At time t1, clay1 continues to exist and a new material
entity pot0 (constituted by, but distinct from, clay1) comes into being. (see
e.g. [13])
          </p>
          <p>We will assume the continuity view to provide a systematic analysis of the relationship
between production and use under the same philosophical view of diachronic identity. Note
that the so-called “production” of a material artifact may be usually associated with the
noncontinuity view; but, under the continuity view, it does not imply the coming into being of a
new material entity, but rather the coming into being of a new realizable entity as detailed
below. Note also that we will assume the non-continuity view in discussing functions in BFO
in Section 3.3, as the BFO notion of function seems to embrace the non-continuity view.</p>
          <p>
            We think that, in light of a number of existing theories of artifacts (as illustrated by various
formal-ontological theories of technical artifacts [
            <xref ref-type="bibr" rid="ref1">1</xref>
            ]), there are at least two different, albeit
related, entities that help to better understand the usage of the term “artifact”: canonical artifacts
and usefacts in our terminology. We introduce the terms “material canonical artifact” and
“material usefact”, which can be informally explained as follows:
          </p>
          <p>A material canonical artifact is a material entity that is intentionally produced for some
purpose.</p>
          <p>A material usefact is a material entity that is intended to be used for some purpose (other
than the original purpose for which it was intentionally produced, if any).6
To illustrate these terms, we introduce the following examples:</p>
          <p>This amount of clay (clay1) is intentionally shaped and dried to be able to contain liquid
at time t1 and clay1 becomes a material canonical artifact at time t1.</p>
          <p>At time t1’ (later than time t1), clay1 is intended to be used to contain liquid and clay1
continues to be a material canonical artifact. But it does not become a material usefact
at time t1’ because it is intended to be used for the same purpose as it was intentionally
produced.</p>
          <p>At time t1’’ (later than time t1’), clay1 is intended to be used to hold a door and, while
continuing to be a material canonical artifact, clay1 also becomes a material usefact at
time t1’’.</p>
          <p>This pebble (pebble2) is intended to be used to keep papers in place at time t2 and
pebble2 becomes a material usefact at time t2. Cf. [13]
We also introduce realizable entities which are involved in these examples:
•</p>
          <p>clay1 comes to bear the disposition d1 to contain liquid, at time t1.
6 Throughout this paper we employ the expression “be intended to be used to do” to mean being intended to be
used to do, independently of whether it is actually used for that purpose or not. See the works [13,14] for the
contrast between use intention (even without an associated actual use) and actual use.</p>
          <p>•
•
•
clay1 comes to bear the role r1 to contain liquid, at time t1’.7
clay1 comes to bear the role r1* to hold a door, at time t1’’.</p>
          <p>pebble2 comes to bear the role r2 to keep papers in place, at time t2.</p>
          <p>
            In what follows we will present definitions of material canonical artifacts (Section 2.2) and
material usefacts (Section 2.3) by analyzing these realizable entities figuring in the examples.
Note that these definitions were originally presented in our companion paper [
            <xref ref-type="bibr" rid="ref8">8</xref>
            ].
          </p>
        </sec>
        <sec id="sec-1-2-2">
          <title>2.2. Material canonical artifact</title>
          <p>
            Following our companion work [
            <xref ref-type="bibr" rid="ref8">8</xref>
            ], we define material canonical artifacts in terms of intentional
realizable entities and novel realizable entities:
•
•
intentional realizable entity =def. A realizable entity that comes into being for a specific
goal through an intentional act.8
novel realizable entity =def. A realizable entity r such that the bearer has no realizable
entity r’ such that (i) r’ exists before r comes into being and (ii) if r is realized in a process,
then r’ is realized in the same process.9
The four realizable entities above introduced (viz. d1, r1, r1* and r2) are all intentional realizable
entities. For instance, d1 comes into being through the intentional act of shaping and drying
clay1, and d1 is directed towards the goal of liquid being capable of containing in clay1; and r2
comes into being through the intentional act of selecting pebble2 to use it to keep papers in
place and r2 is directed towards the goal of keeping papers in place because of pebble2.10
          </p>
          <p>Moreover, d1 is a novel realizable entity because clay1 at time t1 would bear no realizable
entity such that it exists before d1 comes into being and that, if d1 is realized in a process, then
it is realized in the same process. As clay1 at time t1 (bearing d1) is a material canonical artifact
in our sense of the term in Section 2.1, we can define the term “material canonical artifact” as
follows:
material canonical artifact =def. A material entity that bears a novel intentional realizable
entity.</p>
          <p>
            The idea is that a material entity is a canonical artifact if and only if it bears an intentional
realizable entity whose realization of a “new” kind for the material entity which is the bearer —
that is, a novel intentional realizable entity, which we define as “an intentional realizable entity
7 Note that, unlike d1, r1 can cease to exist even without its physical makeup being changed, in particular when
clay1 is no longer intended to be used to contain liquid.
8 The term “intentional act” in this definition should be taken to be general enough to accommodate Borgo &amp;
Vieu’s [12] notion of “mental selection”.
9 The term “the same process” in this definition refers to the same particular process. We leave for future work a
meticulous analysis of the identity of processes in BFO (e.g. [15]).
10 See our companion paper [
            <xref ref-type="bibr" rid="ref8">8</xref>
            ] for a more detailed analysis of the intentional and goal-directed dimensions of
intentional realizable entities.
that is a novel realizable entity” [
            <xref ref-type="bibr" rid="ref8">8</xref>
            ]. Note that neither r1* nor r2 is a novel realizable entity, as
we will explain in detail below.
          </p>
        </sec>
        <sec id="sec-1-2-3">
          <title>2.3. Material usefact</title>
          <p>
            In our companion work [
            <xref ref-type="bibr" rid="ref8">8</xref>
            ], we defined the term “material usefact” as a material entity that
bears not a novel intentional realizable entity, but a realizable entity of a different (albeit closely
related) kind. To present our definition of this term, let us introduce two realizable entities with
regard to clay1 and pebble2:
•
•
clay1 bears the disposition d1* to hold a door after time t1 — note that, unlike r1*, d1*
exists even in the absence of any relevant use intention (e.g. between times t1 and t1’’),
insofar as the physical makeup (e.g. solid structure) of clay1 remains unchanged.
pebble2 bears the disposition d2 to keep papers in place — note that, unlike r2, d2 exists
even in the absence of any relevant use intention (e.g. before time t2), insofar as the
physical makeup (e.g. solid structure) of pebble2 remains unchanged.
          </p>
          <p>
            We also introduce, following the companion work [
            <xref ref-type="bibr" rid="ref8">8</xref>
            ], the relation of “being non-novel
because of” between two realizable entities as follows:
          </p>
          <p>A realizable entity r is non-novel because of a realizable entity r’
=def. There exists some independent continuant b such that (i) b bears r and (ii) b bears r’
and (iii) r’ exists before r comes into being and (iv) if r is realized in a process, then r’ is
realized in the same process.</p>
          <p>Then we can classify the three roles r1, r1* and r2 as follows:
•
•</p>
          <p>Non-novel because of some novel intentional realizable entity
a. the role r1 of clay1 is non-novel because of d1 (and clay1 at time t1’ is a
material canonical artifact, but not a material usefact.)
Non-novel because of some realizable entity that is not a novel intentional realizable
entity
a. the role r1* of clay1 is non-novel because of d1* (and clay1 at time t1’’ is both
a material usefact and a material canonical artifact.)
b. the role r2 of pebble2 is non-novel because of d2 (and pebble2 at time t2 is a
material usefact, but not a material canonical artifact.)</p>
          <p>As clay1 at time t1’’ (bearing r1*) and pebble2 at time t2 (bearing r2) are material usefacts in
our sense of the term in Section 2.1, we can define the term “material usefact” as follows:
material usefact =def. A material entity that bears an intentional realizable entity which
is non-novel because of some realizable entity that is not a novel intentional realizable
entity.
3. A realizable-based analysis of artifactual functions</p>
        </sec>
        <sec id="sec-1-2-4">
          <title>3.1. Novel intentional dispositions of material canonical artifacts</title>
          <p>We proposed two kinds of material entities that can be referred to by the term “material
artifact”: material canonical artifacts and material usefacts. We will provide an ontological
analysis of so-called “artifactual functions”, as they can apply to material canonical artifacts and
material usefacts. Let us first consider artifactual functions of material canonical artifacts. Using
our illustrative examples, clay1 at time t1 is a material canonical artifact. Because clay1 at time
t1 bears d1, we may think of d1 as an artifactual function of a material canonical artifact. This
way of thinking may lead to focusing on the term “novel intentional disposition”:
novel intentional disposition =def. A novel intentional realizable entity that is a
disposition.</p>
          <p>We can interpret the term “artifactual function” as referring to a novel intentional
disposition in situations where the term “artifact” refers to a material canonical artifact. For
instance, d1 is a novel intentional disposition and clay1 at time t1 is a material canonical artifact.</p>
          <p>
            We make two remarks on this interpretation of artifactual functions of material canonical
artifacts as novel intentional dispositions. Firstly, there is a long-standing debate over the
problem of malfunction(ing) for the BFO dispositional theory of functions [
            <xref ref-type="bibr" rid="ref10 ref4">4,10,16</xref>
            ]. This
problem could also be raised for the present construal of the term “artifactual function” as
referring to a novel intentional disposition. A complete resolution of this potential issue exceeds
the scope of this paper, though.11
          </p>
          <p>
            Secondly, one may wonder whether (and why), in the case of material canonical artifacts,
the term “artifactual function” refers to a novel intentional disposition, rather than a novel
intentional realizable entity. One consideration in favor of the affirmative answer to this
question may be provided in light of the central features of the BFO notion of function. In
developing their BFO dispositional account of functions, Spear et al. [
            <xref ref-type="bibr" rid="ref10">10</xref>
            ] discuss Röhl &amp; Jansen’s
[
            <xref ref-type="bibr" rid="ref4">4</xref>
            ] SUPPORT desideratum for a satisfactory theory of functions. Spear et al. formulate it as
follows:
          </p>
          <p>SUPPORT: the function of a thing should be, in some sense, supported by (be a
consequence of) its physical structure, not merely of historical or cultural facts.
[10, p. 107]</p>
          <p>Spear et al. also argue that the BFO notion of function “conforms to Röhl and Jansen’s
criterion of SUPPORT, which requires that functions be grounded in the physical structure of
their bearers” [10, p. 121], as BFO:functions are BFO:dispositions, which are borne in virtue of
certain features of the physical make-up of the bearers. This argument may lend weight to
thinking that artifactual functions of material canonical artifacts would be favorably analyzed
in terms of novel intentional dispositions. We also note that this interpretation can be
11 For some pointers as to future inquiry, see Koslicki’s [17] and Koslicki &amp; Massin’s [18] discussion on
malfunctioning
strengthened by our clarification of functions in BFO (Section 3.3) and our detailed discussion
about the SUPPORT desideratum (Section 3.4).</p>
        </sec>
        <sec id="sec-1-2-5">
          <title>3.2. Usefactual realized entities of material usefacts</title>
          <p>We will now turn to artifactual functions of material usefacts. Using our illustrative examples,
clay1 at time t1’’ (when it is intended to be used to hold a door) and pebble2 at time t2 (when it
is intended to be used to hold papers) are material usefacts. As clay1 at time t1’’ bears r1* and
pebble2 at time t2 bears r2, one possible interpretation (which we will scrutinize below, though)
is to regard r1* and r2 as artifactual functions of material usefacts. To generalize this idea, we
can introduce the term “usefactual realizable entity” as follows:
usefactual realizable entity =def. An intentional realizable entity (i) of an independent
continuant (ii) which is non-novel because of some realizable entity that is not a novel
intentional realizable entity.</p>
          <p>According to this interpretation, the term “artifactual function” refers to a usefactual
realizable entity in situations where the term “artifact” refers to a material usefact (see also
Toyoshima et al.’s [14] notion of “broad use function”). For instance, r1* and r2 are usefactual
realizable entities borne by material usefacts, and thus they might be called “artifactual
functions”.12</p>
          <p>
            There may be nonetheless some issues with this simple identification of an artifactual
function of a material usefact with a usefactual realizable entity thereof. For one thing, in
replying to Artiga [
            <xref ref-type="bibr" rid="ref5">5</xref>
            ], Spear et al. [
            <xref ref-type="bibr" rid="ref10">10</xref>
            ] critically examine “the possibility of artifactual functions
that come into existence solely as the result of intentionally selecting a natural object (what
Artiga also calls a ‘naturefact’) or repurposing an already existing artifact” [10, p. 126]. Here,
the term “natural object” can admit of an intuitive reading (consider e.g. pebble2) and such
“artifactual functions” in Spear et al.’s terms would correspond to artifactual functions of
material usefacts.13
          </p>
          <p>Spear et al. state: “when sticks from the woods are merely intentionally selected to be used as
chopsticks, then they do not take on or have a function at all in the BFO sense, but rather a role”
[10, p. 126]; and “naturefacts and of (merely intentionally) repurposed artifacts generally […]
do not have functions in the BFO sense; but rather roles which, precisely because they do not
play any part in explaining the existence of the entities that bear them, are entities of a different
kind” [10, p. 127]. In Spear et al.’s spirit, we will draw a sharp distinction between bearing a
BFO:function and bearing a usefactual realizable entity (which can be paradigmatically a
BFO:role), instead of drawing some kind of analogy between them and calling, even if loosely,
the latter “having a function”.</p>
          <p>
            Furthermore, it would seem that Artiga [
            <xref ref-type="bibr" rid="ref5">5</xref>
            ] does not think that, for instance, the natural
object pebble2 has a function at time t2. To see this, consider his following text:
12 We leave open the question of whether all usefactual realizable entities are BFO:roles or not, because a
welldeveloped account of BFO:roles is yet to be available. For thoughts on roles in BFO, see Röhl &amp; Jansen [
            <xref ref-type="bibr" rid="ref4">4</xref>
            ] and
Toyoshima et al. [12].
13 As we argued in the companion work [
            <xref ref-type="bibr" rid="ref8">8</xref>
            ], our notion of usefact is related with the anthoropological notion of
naturefact [
            <xref ref-type="bibr" rid="ref12">19</xref>
            ].
          </p>
          <p>Think about naturefacts, that is, natural objects that have not been created by humans
but which might acquire functions. If a stone with a convex whole is used as a mortar,
it seems it has a function, even if this effect does not explain why it exists: neither its
presence nor its form can be explained by appealing to its function.</p>
          <p>[5, p. 93, our underline added]</p>
          <p>Let us apply Artiga’s view of naturefacts and functions, more generally, to our examples of
material usefacts. We introduce the following scenarios with our realizable-based analysis
thereof:
•
•
•
•</p>
          <p>At time t1’’’ (later than time t1’’), clay1 is actually used to hold a door.</p>
          <p>At time t2’ (later than time t2), pebble2 is actually used to keep papers in place.
At time t1’’’: r1* (borne by clay1) is realized.</p>
          <p>At time t2’: r2 (borne by pebble2) is realized.</p>
          <p>Following Artiga, we can think that, at time t1’’’ (or at time t2’), clay1 (or pebble2) “has a
function”; to wit, it has an artifactual function of a material usefact.</p>
          <p>
            There are at least two interpretations for artifactual functions of material usefacts. We may
call them the “process-based” and “realizable-based” interpretations. To illustrate the former,
we will consider Bahr’s [
            <xref ref-type="bibr" rid="ref13">20</xref>
            ] notion of “sporadic user-intended function” when she provides a
unifying account of both function ascriptions to technical artifacts and those to artworks. She
characterizes sporadic user-intended functions as follows:
          </p>
          <p>A subject s is justified in ascribing Φ-ing as a sporadic user-intended function to a
technical artifact, an art work [which would be a class in our terms] or an instance of
an art work a if and only if
s is justified in believing that a user of a currently intends to use a as a means of
Φ-ing [the condition of user-intention]; and
s is justified in believing that a is actually serving as a means of Φ-ing [the condition
of actual fulfillment]
[19, p. 98, with some notational modifications for readability]</p>
          <p>Suppose for the sake of illustration that I am justified in believing that clay1 is intended to
be used (the condition of user-intention) and actually used (the condition of actual fullfilment)
at time t1’’’, as a mean of holding a door. Then, I am justified in ascribing holding a door as a
sporadic user-intended function to clay1 at time t1’’’. This analysis is arguably, mutatis
mutandis, applicable to pebble2 at time t2’. Note that, at least when the expression “Φ-ing” is
literally taken within the BFO framework, sporadic user-intended functions would be processes
(e.g. realizations of r1* and realizations of r2).</p>
          <p>The other, realizable-based interpretation of artifactual functions of material usefacts can be
found in Toyoshima et al.’s [14] notion of “narrow use function”, which is based on the idea
that: “it is not enough to merely intend to use something for a use function to come into being:
a thing has a use function (in the narrow sense) only when the user actually uses that thing for
her use purpose” [14, p. 5]. According to their considered view, for instance, clay1 at time t1’’’
(or pebble2 at time t2’) has a narrow use function to hold a door (or to keep papers in place) and
this narrow use function can be analyzed as “r1* when it is realized” (or “r2 when it is realized”).</p>
          <p>Interpreted generally within our framework, the process-based interpretation says that
artifactual functions of material usefacts are realizations of usefactual realizable entities. The
realizable-based interpretation says, by contrast, that they are usefactual realizable entities
when they are realized, or more simply “usefactual realized entities” in the following sense of
the term:</p>
          <p>usefactual realized entity =def. A usefactual realizable entity that is realized.</p>
          <p>While both interpretations of artifactual functions of material usefacts may be plausible, we
will adopt here the realizable-based interpretation of them as usefactual realized entities, as it
will yield the desirable consequence that so-called “artifactual functions” can be uniformally
characterized as realizable entities, whether they are novel intentional dispostions (in the case
of material canonical artifacts) or usefactual realized entities (in the case of material usefacts).
There is nonetheless an important ontological difference between these two kinds of realizable
entities: that is, a usefactual realized entity is always (by definition) being realized; but a novel
intentional disposition (and also a usefactual realizable entity) can go unrealized.14</p>
        </sec>
        <sec id="sec-1-2-6">
          <title>3.3. Clarifying functions in BFO</title>
          <p>We will clarify functions in BFO, insofar as they are concerned with artifacts, in particular with
our realizable-centered approach to them. For the sake of referential convenience, let us
introduce the term “design BFO:function”, adapted from the BFO elucidation of functions:
design BFO:function =def. A BFO:function that its bearer possesses in virtue of its having
a certain physical makeup because it came into being through intentional design (when
the bearer is an artifact).</p>
          <p>The first thing to note is that the notion of design BFO:function seems to assume the
noncontinuity view of diachronic identity. To see why, recall our analysis of the example of a pot
made of an amount of clay which is intentionally shaped and dried at time t1, in terms of clay1
and d1 under the continuity view:
•
•</p>
          <p>At time t1, this amount of clay (clay1) continues to exist and clay1 comes to instantiate
the kind Pot.</p>
          <p>
            clay1 comes to bear the disposition d1 to contain liquid, at time t1.
14 Cf. [
            <xref ref-type="bibr" rid="ref10 ref4">4,10</xref>
            ] for the view that the notion of a realizable entity helps to distinguish between “functions” (continuants)
and “functionings” (occurrents). Moreover, it is interesting to note that the difference between a novel intentional
disposition and a usefactual realized entity may be linked with the distinction between “having a function” and
“functioning as” that is suggested by Artiga’s [
            <xref ref-type="bibr" rid="ref5">5</xref>
            ] following text:
          </p>
          <p>It seems that, among functions, we also frequently distinguish those that are essential (or, at least, more
central) from those that are not. Chairs are for sitting, but one can also stand on them to reach for something.
Cups are for drinking, but they can also function as pencil cups. Among the various functions an item may
have, some of them seem to be more important than others. One way of capturing this idea is in terms of the
distinction between having a function and functioning as. […] even though this distinction is also likely to
make sense in a biological context, artifacts provide much clearer examples. [5, p. 93]</p>
          <p>Note that d1 is a novel intentional disposition (and clay1 is thus a material canonical artifact),
but it is not a BFO:function (and, a fortiori, d1 is not a design BFO:function), since clay1 does
not come into being at time t1. By assuming the non-continuity view, however, we can analyze
the clay/pot example in terms of BFO:functions as follows:
•
•</p>
          <p>At time t1, a new material entity pot0 comes into being.</p>
          <p>pot0 bears the design BFO:function f0 to contain liquid.</p>
          <p>
            Note that f0 is a novel intentional dispositon (and pot0 is thus a material canonical artifact).
In particular, f0 is “trivially novel”, which was a notion presented in our companion work [
            <xref ref-type="bibr" rid="ref8">8</xref>
            ]:
neither its bearer (i.e. pot0) nor any realizable entity of the bearer existed before f0 comes into
being, since all these entities come into being simultaneously.
          </p>
          <p>This observation can have two important implications for functions in BFO. Firstly, the term
“artifact” in the BFO elucidation of functions can be construed as referring to a material
canonical artifact because any design BFO:function (e.g. f0 borne by pot0) is a novel — to wit,
“trivially novel” — intentional disposition. Secondly, irrespective of whether the continuity view
or the non-continuity view is adopted, our notion of novel intentional disposition would be
more general than the notion of design BFO:function, although we leave for future work the
non-continuity-based reformulation of our realizable-centered treatment of artifacts and
artifactual functions.</p>
        </sec>
        <sec id="sec-1-2-7">
          <title>3.4. Being an artifact otherwise than in virtue of having an artifactual function</title>
          <p>
            In Section 3.1, we justified the thesis that artifactual functions of material canonical artifacts
are novel intentional dispositions, on the grounds of the SUPPORT desideratum for a
satisfactory theory of functions. We will solidify this justification by examining closely Artiga’s
[
            <xref ref-type="bibr" rid="ref5">5</xref>
            ] criticism of the SUPPORT desideratum. Artiga discusses the SUPPORT desideratum in
connection with artifactual functions as follows:
          </p>
          <p>I doubt that SUPPORT should actually count as a desideratum for a theory of artifactual
functions. The main difficulty concerns the notion of “support”, which is not only too
unspecific, but also probably unspecifiable. For instance, the function of an amulet is to
bring luck, but it is unclear what would be for an object to support this function.
Likewise, in many cultures animal sacrifices have the function of pleasing gods, but we
do not know what would be required for an object to support this effect. In general, it
is mysterious what kinds of physical properties could support many of these functions
and, even if we knew it, these items would probably lack them. Less extreme cases can
also be pointed out. If one thinks about the function of the Bible, or the Communist
Manifesto, the connection between the structural properties of the object (either an
abstract entity or an object made out of ink and paper) and their function seems to be
hard to spell out. That suggests there is probably no general way of specifying the
relation between support and function, in a such way that it can deliver a substantive
and plausible requirement.</p>
          <p>[5, p. 94]</p>
          <p>Artiga thinks of the function of amulets to bring luck and the function of sacrificed animals
to please gods. From our realizable-based perspective on artifacts, it may be difficult to think
that amulets (or sacrificed animals) are material canonical artifacts, or even material usefacts,
in virtue of bearing realizable entities to bring luck (or to please gods), because it is implausible
to identify such realizable entities, given laws of nature in our actual world.</p>
          <p>To analyze amulets and sacrificed animals, it will be helpful to consider Koslicki &amp; Massin’s
[21] notion of “faith-based artifact”: roughly, an artifact of a kind that is intended and believed
by its creators and users to perform a function which it does not in fact perform.15 As K&amp;M say,
examples of faith-based artifacts can range from religious and ritualistic objects (e.g. amulets
and talismans) to amber necklaces. They also suggest that faith-based artifacts can be analyzed
in terms of their notion of “placebo capacity”: roughly, a capacity to subjectively satisfy an
agent’s desire to produce the relevant effect in the presence of a belief by the agent that the
entity is able to bring about this effect. For instance, amulets can be ascribed the placebo
capacities to subjectively satisfy the user’s desire to get lucky in the presence of the relevant
belief on the part of the agent that they can in fact bring luck, although they actually lack the
capacity to bring luck.</p>
          <p>Artiga argues that the function of amulets to bring luck and the function of sacrificed
animals to please gods can constitute counterexamples to the SUPPORT desideratum. One
possible realizable-based interpretation of his argument is that amulets and sacrificed animals
could be material canonical artifacts in virtue of bearing novel intentional realizable entities
that are not dispositions (recall our discussion on SUPPORT and dispositions in Section 3.1).
We hypothesize that K&amp;M’s placebo capacities are one promising candidate for such
nondisposition realizable entities, as amulets and sacrificed animals would be faith-based artifacts.16
It will be therefore valuable to formalize faith-based artifacts and placebo capacities within our
realizable-centered framework for artifacts.17</p>
          <p>
            An important lesson to be learnt from this careful reading of Artiga’s text is that,
notwithstanding a traditionally assumed, inextricable relationship between artifacts and
functions, our ontological analysis of the terms “artifactual function” and “artifact” says that
having an artifactual function implies being an artifact, but not vice versa: to put it differently,
there are other ways of being an artifact than having an artifactual function.18
15 See also Koslicki &amp; Massin’s [18] discussion about different theories of functions with regard to artifacts.
16 In more detail, we can think that placebo capacities are novel intentional realizable entities that are not
BFO:dispositions, based on the hypothesis that they are “intentional” realizable entities in the sense of existing in
virtue of some relevant belief and desire, rather than in virtue of some relevant intention. We will leave for future
work the justification of this hypothesis on the intentional dimension of intentional realizable entities.
17 Moreover, Artiga thinks that, although being unspecified by him, functions of the Bible and the Communist
Manifesto can also constitute counterexamples to the SUPPORT desideratum because the connection between
these functions and the “structural properties” of the function bearers “seems to be hard to spell out”. Arguably, the
examples of the Bible and the Communist Manifesto can be linked with K&amp;M’s faith-based artifacts because, as
they say, abstract artifacts such as specific theories and ideologies (e.g. conspiracy theories) could also be regarded
as faith-based artifacts. Insofar as faith-based artifacts can be generally understood as a kind of canonical artifacts,
a detailed ontological analysis of such abstract artifacts may be provided through the extension of our
realizablebased characterization of canonical artifacts to the category of abstract artifacts. See our companion paper [
            <xref ref-type="bibr" rid="ref8">8</xref>
            ] for
pointers into such extension.
18 See also Koslicki &amp; Massin’s [18] criticism of what they call “functionalism about artifact kinds”.
          </p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>4. Conclusion</title>
      <p>
        To recapitulate briefly, we provided an ontological analysis of so-called “artifactual functions”
by deploying a realizable-centered approach to artifacts that we have developed, in the
companion work [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], based on Basic Formal Ontology (BFO). The result is that artifactual
functions of material canonical artifacts and material usefacts can be analyzed, respectively, as
novel intentional dispositions and usefactual realized entities.19 One important consequence of
this analysis is that having an artifactual function implies being an artifact, but not vice versa.
In future work we will investigate the comparison of our approach to artifactual functions with
existing major theories of functions [
        <xref ref-type="bibr" rid="ref3 ref4">3,4</xref>
        ] (including design, proper/etiological and systemic
theories, as examined in the work [18]) and a realizable-based formalization of faith-based
artifacts and placebo capacities.20
[12] F. Toyoshima, A. Barton, J. F. Ethier, L. Jansen, Towards a unified dispositional framework
for realizable entities, in: Proceedings of FOIS2021, Amsterdam: IOS Press, 2024, pp. 64-78.
[13] S. Borgo, L. Vieu, Artefacts in formal ontology, in: A. Meijers, (Ed.), Philosophy of
Technology and Engineering Sciences: Handbook of the Philosophy of Science, vol. 9,
Elsevier, 2009, pp. 273-307.
[14] F. Toyoshima, A. Barton, J. F. Ethier, Investigating functions in BFO from the viewpoint of
extrinsic dispositions, in: Proceedings of JOWO2022, CEUR Workshop Proceedings, vol.
3249, 2022, pp. 1-7.
[15] F. Toyoshima, A. Barton, Two approaches to the identity of processes in BFO, in:
      </p>
      <p>Proceedings of JOWO2023, CEUR Workshop Proceedings, vol. 3637, 2024, pp. 1-15.
[16] L. Jansen, Functions, malfunctioning, and negative causation, in: A. Christian et al. (Eds.),
Philosophy of Science: Between the Natural Sciences, the Social Sciences, and the
Humanities, vol. 9, Cham: Springer Verlag, 2018, pp. 117-135.
[17] K. Koslicki, Artifacts and the limits of agentive authority, in: M. Garcia-Godinez (Ed.),</p>
      <p>
        Thomasson on ontology, Springer Verlag, 2023, pp. 209-241.
[18] K. Koslicki, O. Massin, Artifact kinds, functions, and capacities (under review).
[
        <xref ref-type="bibr" rid="ref12">19</xref>
        ] W. H. Oswalt, An Anthropological Analysis of Food-Getting Technology, New York: John
      </p>
      <p>
        Wiley &amp; Sons, 1976, p. 18ff.
[
        <xref ref-type="bibr" rid="ref13">20</xref>
        ] A. Bahr, What the Mona Lisa and a screwdriver have in common: a unifying account of
artifact functionality, Grazer Philosophische Studien, 96 (2019) 81-104.
[21] K. Koslicki, O. Massin, Artifact-essences: a capacity-based approach (under review).
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