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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Linking Temporal Parts in Processual Biological Ontology</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>There are two conflicting foundational approaches to biological reality. Substantialism says that objects are more fundamental than processes, whereas processualism argues for the converse: processes are more basic than objects. It is of practical significance to harmonize a substantialist framework for biological data with a processual one. This short paper aims to propose that temporal parts of biological objects in processual ontology be linked in a dispositionally causal way.</p>
      </abstract>
      <kwd-group>
        <kwd />
        <kwd>biological ontology</kwd>
        <kwd>process ontology</kwd>
        <kwd>temporal part</kwd>
        <kwd>causation</kwd>
        <kwd>disposition</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Biological ontologies need to provide a general description of biological reality that
holds independently of ever-changing biological knowledge and practice in order to
promote the integration of biological data that are dispersed in different information
systems, including databases. It is thus not only theoretically challenging but also
practically rewarding to scrutinize foundational perspectives from which to represent a
wide array of biological phenomena.</p>
      <p>This paper concentrates on the relationship between objects and processes vis-à-vis
the biological domain. Classical examples of biological objects include molecules, cells,
organs, and organisms; and those of biological processes cell division, heart pumping,
and an organism’s progressive development. On the one hand, substantialism claims that
objects are more fundamental than processes: processes are, in some sense, activities of
objects (whether animate or not). On the other hand, processualism counters that
processes are more basic than objects: objects are, in some sense, abstractions of
processes. As we will see below, some biological ontologies adopt substantialism but
others processualism; and it would be notoriously difficult to unify those foundationally
contrasting biological ontologies. In this regard, the substantialist/processualist debate is
relevant to effective data management in the context of life sciences.</p>
      <p>In this short paper we explore a practical strategy for harmonizing the substantialist
and processual views of biology, thereby contributing to the long-term enhancement of
the interoperability of different biological ontologies. The rest of the paper is structured
as follows. Section 2 delineates substantialism and processualism with an emphasis on
their connection with the issue of persistence and their usage in biological ontologies.
While recognizing the importance of persistence for our objective, Section 3 argues that
1 E-mail: toyo.fumming@gmail.com, fumiakit@buffalo.edu. Copyright © 2019 for this paper by its
authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).
temporal parts of biological objects in processual ontology should be connected in a
dispositionally causal manner. Section 4 concludes the paper with a brief discussion on
future possible directions of research.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Substantialism and Processualism (in Biology)</title>
      <p>
        Philosophy of biology traditionally centers on the substantialist’s worldview according
to which processes always involve the doings of objects and they merely reflect the
change in the properties of objects over time. To take one example, the process of mitosis
cell division can be seen as a sequence of the activities (e.g., DNA replication) of cells.
There is however an increasing interest in the processual approach in the contemporary
discipline [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Dupré and Nicholson [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] offer several biological motivations for
processualism. Given the relevance of metabolism for organisms’ living conditions, for
instance, an organism may be well characterized as fluid processes of matter and energy
that exhibit dynamic time-relative stabilities (see also [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]); most biological objects
(paradigmatically organisms) can be regarded as a series of morphological and
behavioral changes during their life cycles; and organisms are fundamentally relational
entities in the sense that they exist only in virtue of their complex and reciprocal
interactions with the environment, including other organisms.
      </p>
      <p>
        The substantialism/processualism opposition is intimately connected to the topic of
persistence. An object persists if and only if it exists at one time, and also exists at another
distinct time: e.g., a frog persists if it existed as an embryo and exists as a tadpole. Note
that an object is something that persists, whereas a process is something that happens or
occurs. Philosophy of persistence pivots around the debate between endurantism and
perdurantism [4, pp. 202-204]. 2 Perdurantism is the thesis that objects persist by
‘perduring’, i.e., by having (proper) temporal parts. On the perdurantist account, a frog
has its ‘embryo temporal parts’ and its ‘tadpole temporal parts’, just as the frog has the
head as its spatial part. Endurantism consists in rejecting perdurantism and insisting that
an object persists by ‘enduring’, which is typically construed as saying that an object is
‘wholly present’ at every time at which it exists. Notwithstanding controversy as to what
this phrase is supposed to mean (see e.g., [
        <xref ref-type="bibr" rid="ref5 ref6">5,6</xref>
        ]), we can interpret endurantism as the
doctrine that objects do not have (proper) temporal parts at every time at they exist.3 Not
surprisingly, perdurantism (resp. endurantism) is well concordant with processualism
(resp. substantialism), even if they are not necessarily paired. Granted that processes are
in nature temporally extended and they have temporal parts, perdurantism would
recognize the primacy of processes over objects by treating objects as process-like; and
2 We avoid using the terms ‘three-dimensionalism’ and ‘four-dimensionalism’ that tend to be highly
polysemous both in formal ontology and in philosophy, although they are sometimes regarded as synonymous
with endurantism and perdurantism, respectively.
      </p>
      <p>
        3 Strictly speaking, we should be wary of the understanding of persistence based on temporal parts.
Although temporal parts are traditionally taken to be the crux of the subject of persistence (see e.g., [4, pp.
202204]), there is nowadays a growing consensus among philosophers of persistence that the endurantist and
perdurantist accounts of persistence should be primarily characterized in light of spatiotemporal location
(namely, how objects are located in spacetime) and it serves at best as an auxiliary assumption whether objects
have or lack (proper) temporal parts [
        <xref ref-type="bibr" rid="ref7 ref8 ref9">7-9</xref>
        ]. We are justified in regarding persistence as the matter of temporal
parts, however, insofar as the discussion is concerned on the relationship between the
substantialist/processualist dispute and persistence (especially in philosophy of biology) [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ].
contrariwise, endurantism would prioritize objects over processes because it respects the
ontological autonomy of objects: objects ‘survive’ various changes over time.
      </p>
      <p>
        To exemplify the substantialist/processualist debate in biological knowledge
representation, let us compare two biological ontologies: the Cell Ontology (CL) [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]
and GFO-Bio [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. The CL is built to cover the domain of canonical, natural biological
types in compliance with the Open Biomedical Ontologies (OBO) Foundry [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]: a
collaborative project to coordinate ontologies to support biomedical data integration that
tends to adopt as a standard upper ontology Basic Formal Ontology (BFO) [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ].4 On the
other hand, GFO-Bio aims to be a core ontology [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ] for biology (i.e., an ontology that
formally describes and defines the basic categories within the biological domain) that is
constructed in accordance with an upper ontology General Formal Ontology (GFO) [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ].
      </p>
      <p>On our view, the CL and GFO-Bio are committed to substantialism and
processualism because so are BFO and GFO, respectively. Let us illustrate this point
with cells, which we intuitively understand as objects. The CL classifies cells as a
subtype of the BFO category of material entity: “An independent continuant that has
some portion of matter as part, is spatially extended in three dimensions, and that
continues to exist through some interval of time, however short” [13, p. 180], where an
independent continuant is: “A continuant entity that is the bearer of qualities and a
participant in processes. Independent continuants are such that their identity can be
maintained over time through gain and loss of parts, as well as through changes in
qualities.” [ibid., our italicization added]. The CL characterization of cells is attuned to
the substantialist’s perspective because they are thought to ‘endure’ over time.</p>
      <p>
        In GFO-Bio, by contrast, cells fall into the GFO category of presential: “an
individual which is entirely present at a time-point. (…) presentials are individuals that
may exist in the presence, where we assume that the presence has no temporal extension,
hence, happens at a timepoint” [16, p. 309, our italicization added]. As for the
objectprocess integration, GFO says in principle that, for every material object Obj, there exists
a GFO: process Proc(Obj) such that the presentials exhibited by Obj equal the GFO:
process boundaries of Proc(Obj) (see [
        <xref ref-type="bibr" rid="ref17 ref18">17, 18</xref>
        ] for formal details). Consequently: “In
comparison to other top-level ontologies, GFO is the only ontology, used in practical
applications, for which the processes [in the GFO sense of the term] are the most
fundamental category of spatio-temporal individuals, whereas objects and their
snapshots (presentials) depend on processes.” [18, p. 350]. In this respect, GFO and
GFO-Bio accept the processual and perdurantist picture of reality in which cells are
conceived in a primarily processual way.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Harmonizing Practically Substantialism and Processualism in Biology</title>
      <sec id="sec-3-1">
        <title>3.1. Three Strategies: ‘Dictatorial’, ‘Monarchical’ and ‘Republican’</title>
        <p>
          There is presently a growing trend towards collaborative development of modularized
biomedical ontologies; and the usage of explicit upper-level categories and relations is
recommended for semantically adequate ontologies that serve as a stable framework for
4 Borgo and Hitzler [14, p. 3] spell out upper ontologies (aka foundational ontologies) as follows: “(…)
while a top-level ontology is a classification system that deals with general domain-independent categories
only, a foundational ontology is a top-level (formal) ontology that has been built and motivated by the upfront
and explicit choice of its core principles.”
more context-dependent biomedical knowledge representation [
          <xref ref-type="bibr" rid="ref19">19</xref>
          ]. This will inevitably
mean in the long run that we should find some way of reconciling substantialist (e.g., the
CL) and processual (e.g., GFO-Bio) biological ontologies. We may describe three major
solutions to this problem by employing political metaphors. First, the dictatorial strategy
requires (virtually) all the developers of biological ontologies to embrace substantialism
(resp. processualism) and to revise in the substantialist (resp. processual) manner, or even
to abandon altogether, all the existing processual (resp. substantialist) biological
ontologies. This is obviously a simplistic and unrealistic approach.
        </p>
        <p>
          Second, the monarchical strategy advocates an alternative foundational perspective
to substantialism and processualism as a new conceptual framework for integrating both
kinds of biological ontologies; and one candidate worldview might be that objects and
processes are equally fundamental (Cf. [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ]). This stance would be also problematic,
however. For one thing, it is highly questionable whether two sharply opposed kinds of
entities can be of the same fundamentality, although the notion of fundamentality is
outside the scope of our current investigation (see e.g., [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ]).5 For another, even if it is
the case that objects are as fundamental as processes, it is rather unclear whether and
how this claim contributes to the practical unification of biological ontologies: e.g., what
is a third, non-circular definition of cells that is neither substantialist nor processual?
        </p>
        <p>Third, the republican strategy (on which we will expound below) aims to let
ontology users maintain their worldviews by ensuring the practical interoperability
between substantialist and processual biological ontologies. To explore this line of
inquiry, we focus upon persistence because both sides agree on the fact that (if not how)
objects persist. On the processual/perdurantist account of reality, persisting objects have
temporal parts, whereas the substantialist/endurantist says that they do not. To move
from the latter to the former, we only have to introduce the concept of temporal part,
which can be intuitively understood as a temporal analogue of a spatial part.6 To proceed
conversely, however, we need to theorize on a means of combining together temporal
parts of a given perduring object (e.g., ‘embryo temporal parts’ and ‘tadpole temporal
parts’ of a frog) back into a single enduring object (e.g., the ‘wholly present’ frog) . It is
only when this task is accomplished that we will take the initial step towards the workable
harmonization between substantialism and processualism in biological ontology.</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Dispositionally Causal Links between Temporal Parts in Processual Biology</title>
        <p>
          The topic of how a perduring object is composed by its temporal parts can be seen as an
instance of the more general, so-called ‘special composition question’ [
          <xref ref-type="bibr" rid="ref24">24</xref>
          ]: under what
circumstances some objects come to compose a further object. Two of the most common
answers are (mereological) nihilism and universalism. Nihilism says that nothing ever
composes; and the standard nihilist believes that all that exists are simples (namely,
something that has no proper part): e.g., subatomic particles [
          <xref ref-type="bibr" rid="ref24 ref25">24,25</xref>
          ]. Universalism
endorses, on the contrary, unrestricted composition: composition always occurs [
          <xref ref-type="bibr" rid="ref23 ref4">4,23</xref>
          ].
For any plurality of objects which the reader names, as universalism goes, there is an
object that compose them. Nihilism and universalism have been criticized for yielding
undesirably the excessive depletion and proliferation of composite objects, respectively.
Another, more moderate position is restrictivism, which argues for restricted
5 See Toyoshima [
          <xref ref-type="bibr" rid="ref22">22</xref>
          ] for a formal-ontological approach to fundamentality.
        </p>
        <p>
          6 There is considerable disagreement on how to define explicitly what temporal parts are meant to be,
though. See Sider [23, Chapter 3] for their definition currently most widely used in the literature.
composition: composition occurs only in some specific conditions (which are sometimes
called ‘unity conditions’ in the literature) [
          <xref ref-type="bibr" rid="ref26">26</xref>
          ]. The restrictivist is motivated to save the
intuition, for instance, that a particular configuration of cells composes a frog, while a
collection of cells of all the readers of this paper does not compose anything.
        </p>
        <p>We will hereafter consider unity conditions in which composition is restricted in the
context of processual biological ontology. First of all, nihilism is off the table since
perdurantism (which we are now examining) stipulates the composition of persisting
objects. In fact, we can remain neutral about whether universalism or restrictivism should
be adopted in our discussion. For the restrictivist, (composite) objects exist when they
meet unity conditions; and the universalist can also invoke unity conditions to distinguish
what we usually conceive as (composite) objects (e.g., cells and organisms), which
satisfy those condition, from counterintuitively existing objects (e.g., a sum of cells of
all the readers of this paper), which fail to meet them. Briefly, restrictivism and
universalism take unity conditions to be an ontological and epistemic criterion for
specifying so-called ‘ordinary (material) objects’, respectively. We may be willing to
hold restrictivism, though, partly because we are working on processual biological
ontology, partly because universalism would add complications (i.e., an ontological
commitment to ‘monstrous objects’) to be preferably circumvented in our investigation.</p>
        <p>
          We suggest that unity criteria for restricted composition be causal in biological
processualism and perdurantism. For one thing, Williams [
          <xref ref-type="bibr" rid="ref27">27</xref>
          ] convincingly argues by
thought experiment (into which we do not delve for simplicity) that, their popularity
notwithstanding, spatiotemporal continuity [
          <xref ref-type="bibr" rid="ref28">28</xref>
          ] sortal continuity [
          <xref ref-type="bibr" rid="ref29">29</xref>
          ] are at best
necessary conditions for perdurance; and that only the right kind of causal connection is
sufficient to link between temporal parts of perduring objects.7 For another, DiFrisco
[
          <xref ref-type="bibr" rid="ref31">31</xref>
          ] develops a causal account of the identity and individuation of (biological) processes.
Although DiFrisco explores processes rather than perduring objects, we can interpret his
sophisticated approach as a piece of evidence to support a causal standard for perdurance,
since we contended in Section 2 that perdurantism can be reasonably coupled with
processualism by offering a process-like view of objects.
        </p>
        <p>
          We further propose that a causal condition for perdurance be elucidated by a
dispositional theory of causation in processual biological ontology. A disposition is a
property that is linked to a realization, namely to a specific possible behavior of an object
that is the bearer of the disposition. To be realized in a process, a disposition needs to be
triggered by some other process. Paradigmatic examples include fragility (the disposition
to break when pressed with a certain force) and solubility (the disposition to dissolve
when put in a certain solvent). Characteristically, dispositions may exist even if they are
not realized or even triggered. A glass is fragile even if it never breaks or even if it never
undergoes any shock, for instance. At the nub of the dispositional understanding of
causation is that causation occurs when some disposition is realized [
          <xref ref-type="bibr" rid="ref32">32</xref>
          ]. For example,
the dispositional account attributes the process of the breaking of a glass to the realization
of the fragility disposition of the glass.
        </p>
        <p>
          For a general reason for dispositionally causal unity conditions for perdurance,
Williams [
          <xref ref-type="bibr" rid="ref27">27</xref>
          ] justifies the combination of perdurantism with a dispositional view of
causation on the grounds that the kind of causal links between temporal parts of a
7 Sortals are, broadly speaking, are a kind of linguistic terms (or of concepts) that take numerical
modifiers, that is, can be associated with numerical adjectives. For instance, the word ‘cat’ is a sortal because
it is a linguistic term that takes numerical modifiers, as is observed by the fact that we can say ‘two cats’. See
Grandy [
          <xref ref-type="bibr" rid="ref30">30</xref>
          ] for controversy as to the exact philosophical definition of sortals.
perduring object must come from within the object itself, so that each temporal part is
the cause of the next; and dispositional causation can come up to this task because
dispositions are intrinsic properties with their own causal potency. For a more
domainspecific reason, dispositions serve as such a useful conceptual tool for the analysis of the
explanatory practice in the biological sciences [
          <xref ref-type="bibr" rid="ref33">33</xref>
          ] that a dispositional theory of
causation captures well the dynamicity, continuity, and context-sensitivity of biological
phenomena [
          <xref ref-type="bibr" rid="ref34">34</xref>
          ]. It has been also argued in [
          <xref ref-type="bibr" rid="ref35 ref36">35,36</xref>
          ] that a dispositional analysis of
causation helps to contribute to evidence-based medical practice [
          <xref ref-type="bibr" rid="ref37">37</xref>
          ] more than its
counterfactual analysis such as [
          <xref ref-type="bibr" rid="ref38">38</xref>
          ] (but see [
          <xref ref-type="bibr" rid="ref39">39</xref>
          ] for criticism). 8 Moreover, it is
important to remark that the BFO upper ontology (on which the CL is based) explicitly
has the category of disposition [13, pp. 101-102], which would facilitate along our line
of argument the ‘translation’ of perduring objects in processual ontologies (including
GFO and GFO-Bio) into enduring objects in the BFO and CL substantialist ontological
framework.
        </p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Discussion and Concluding Remarks</title>
      <p>In summary, we highlighted the vexed problem of the integration of substantialist and
processual biological ontologies and endorsed the ‘republican strategy’ to ensure the
interoperability between them while respecting each ontology user’s worldview. To
advance this solution, we considered a way of ‘converting’ temporal parts of a certain
perduring object in processualism into a single enduring object in substantialism, thereby
suggesting that temporal parts of perduring objects be glued together in a dispositionally
causal fashion in the domain of processual biological ontology. It is well worth noting
that the issue of the practical harmonization between substantialism and processualism
comes across the board in general ontology research.</p>
      <p>
        In the future we will investigate a rigorous conceptualization and formalization of
the idea of ‘dispositional perdurance’ as well as its practical application examples (e.g.,
cells) because logical specification is an important desideratum for well-designed
biomedical ontologies [
        <xref ref-type="bibr" rid="ref19 ref40">19,40</xref>
        ]. This will require that we tackle some thorny issues
regarding ontology of dispositions because the kind of dispositions (say p-dispositions)
that enable perdurance differ considerably from canonical dispositions such as fragility
and solubility. While presupposing that each temporal part of a perduring object is the
realization of a p-disposition of its immediate predecessor, Williams [
        <xref ref-type="bibr" rid="ref27">27</xref>
        ] submits that (i)
p-dispositions have realizations (i.e., the existence of further temporal parts) that are
type-identical with the p-dispositions that produce them; (ii) p-dispositions can be
realized with no need for stimulation; and (iii) the realizations of p-dispositions can be
instantaneous (granted that temporal parts can be so [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ]). Although we have some
formal-ontological works (e.g., [
        <xref ref-type="bibr" rid="ref41 ref42">41,42</xref>
        ]) on dispositions available that have been widely
used in biomedical ontologies (see e.g., [
        <xref ref-type="bibr" rid="ref43">43</xref>
        ]), it is not straightforward to apply them to
the formalization of p-dispositions because the features (i) and (ii) go beyond the scope
of the previous formal-ontological modeling of dispositions. For our further step towards
the practical harmonization between substantialist and processual biological ontologies,
therefore, a radical reconsideration of dispositions (e.g., their identity [
        <xref ref-type="bibr" rid="ref42">42</xref>
        ]) may be
warranted. Finally, it is an interesting line of research to explore more nuanced,
8 See Toyoshima [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ] for a general formal-ontological study of causation, dispositions, counterfactuals,
and the interrelationships among them.
perspectivist and/or pragmatic avenues for the substantialist/processualist orchestration
in connection with general ontology alignment and translation [
        <xref ref-type="bibr" rid="ref44 ref45">44,45</xref>
        ].
      </p>
    </sec>
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