<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD v1.0 20120330//EN" "JATS-archivearticle1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>CUBRC</institution>
          ,
          <addr-line>Buffalo NY</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Capability</institution>
          ,
          <addr-line>Ability, Mental Functioning</addr-line>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Department of Biomedical Informatics, University at Buffalo</institution>
          ,
          <addr-line>Buffalo NY</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Department of Philosophy, University at Buffalo</institution>
          ,
          <addr-line>Buffalo NY</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
        <aff id="aff4">
          <label>4</label>
          <institution>Eric Merrell</institution>
        </aff>
        <aff id="aff5">
          <label>5</label>
          <institution>National Center for Ontological Research, University at Buffalo</institution>
          ,
          <addr-line>Buffalo NY</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>We propose capability as a universal or type intermediate between function and disposition. A capability is, broadly speaking, a disposition that is of a type whose instances can be evaluated on the basis of how well they are realized. A function, on the view we are proposing, is a capability the possession of which is the rationale for the existence of its bearer. To say for example that a water pump has the function to pump water is to say that the pump exists because something was needed that would pump water. A water pump may have many capabilities, including: to be weatherproof, to run without lubricant, to be transportable, and so forth. But its function is to pump water. We focus here on capabilities possessed by humans - such as piano playing or language using - and we explore the relation between capabilities of these sorts and structures in the brain.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>‘Disposition’ is a class in Basic Formal Ontology (BFO) whose
instances are, for example, the fragility of this glass, the
irascibility of this old geezer, the solubility of this chunk of salt.
Dispositions are potentials for this or that to happen, and they
are realized when the right trigger or circumstance arises
(sometimes, as in the case of a beating heart, always).
Dispositions specifically depend for their existence on their
bearers and – unlike roles, such as the student role or the lawyer
role – they are dependent only on their bearers. Hence, they are,
according to BFO, internally grounded, specifically dependent,
realizable entities.</p>
      <p>BFO 2.0 elucidates disposition as follows:
d is a disposition means:
d is a realizable entity,
&amp; d ’s bearer is some material entity,
&amp; d is such that, if it ceases to exist, then its bearer is
physically changed,
&amp; d ’s realization occurs when and because this
bearer is in some special physical circumstances,
&amp; this realization occurs in virtue of the bearer’s
physical make-up (1).</p>
      <p>One subclass of ‘disposition’ is formed by those dispositions
which provide the rationale for the existence of their bearers. A
disposition of this sort is called a ‘function’. Here ‘rationale’
covers both cases where functions exist in reflection of
evolutionarily development (as in the case of lungs or hearts)
and cases where functions exist in reflection of intentional
design (as in the case of the water pump and other material
artifacts). In BFO:
f is a function means:
f is a disposition,
&amp; f exists in virtue of its bearer’s physical make-up,
&amp; this make-up is something that this bearer
possesses because it came into being, either through
evolution (in the case of natural biological entities) or
through intentional design (in the case of artifacts), in
order to realize processes of a certain sort (1).</p>
      <p>Examples include: the function of amylase to break down starch
into sugar, reflecting the fact that the disposition to break down
starch into sugar was evolutionarily selected for; and the
function of a hammer to drive nails, which exists because the
hammer was designed to bear a disposition to drive in nails (1).</p>
      <sec id="sec-1-1">
        <title>Spear et al. (2) note that,</title>
        <p>The notion of function is indispensable to our understanding of
distinctions such as that between being broken and being in
working order (for artifacts) and between being diseased and
being healthy (for organisms).</p>
        <p>
          Functions go hand in hand with the gradeability of their
realizations. (Compare the treatment of ‘normativity’ in (
          <xref ref-type="bibr" rid="ref2">2</xref>
          ).)
Your heart may pump well, or it may pump less well, and the
latter is sometimes associated with the presence of disease (
          <xref ref-type="bibr" rid="ref3 ref4 ref5 ref6">3–
6</xref>
          ).
        </p>
        <p>
          However, there appears to be a further class of dispositions
whose instances are also evaluated based on how well they are
realized but whose bearers were not created specifically to
realize that disposition as a matter of evolutionary selection or
intentional design. This class of disposition is broader than that
of function. More recently the term ‘capability’ has been
mooted as an appropriate term to describe entities in this
Copyright © 2019 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).
intermediate class (
          <xref ref-type="bibr" rid="ref7">7</xref>
          ). A capability is (roughly) a disposition
whose realization brings benefits to some organism or group of
organisms. Those capabilities which constitute the primary
reason for the existence of the bearer (either as a matter of
evolutionary biology or as a matter of intentional design) we
call functions.
        </p>
        <p>Both organisms and artifacts can have capabilities. For
example, my hands are capable of opening cans of sparkling
water and my car is capable of keeping me warm. In both of
these examples the disposition is not a mere disposition. Rather,
it is a disposition that in typical circumstances brings benefits
to an organism interacting with the bearer of this disposition or
to an organism that itself bears this disposition. Such benefits
can be graded on a scale (in some cases on multiple scales).</p>
        <p>Thus, capabilities are not mere dispositions. But they are also
not functions. They are a class of realizable entities
intermediate between the two.</p>
        <p>Some capabilities are distinguished in that they can be realized
by their bearers’ deliberately and in such a way as to bring
concordant benefit to the bearer. For example, the capability to
play the guitar is something the guitarist realizes on purpose and
something that brings benefit to the guitarist (as also,
potentially, to other organisms). A car’s capability to warm its
passenger, in contrast, is never intentionally realized by its
bearer, nor does the production of heat benefit the car itself;
rather, it is the passengers who are benefited by being kept
warm. To capture these cases, where a capability can be
intentionally realized by and for the benefit of its bearer we
introduce the further term ability.</p>
        <p>A still narrower class is that of mental ability – for example the
ability to perform mental arithmetic. These are abilities that, in
contrast to the case of playing tennis, or playing the guitar, can
be realized purely mentally.</p>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>Methods</title>
      <p>We shall use ‘ability’ to refer to a realizable entity that (i) has
an organism as its bearer and (ii) is such that its possession
and/or realization brings benefit to this bearer and (iii) is
realizable deliberately (thus on the basis of an intention of the
bearer). Thus, plants, fungi, and unicellular organisms bear no
abilities.</p>
      <p>This paper assumes that mental properties supervene on the
physical properties of the brain and nervous system. Given this
assumption, when mental capabilities are acquired, there must
be some physical change in the brain. We will present evidence
that the acquisition of abilities on the part of a human being is
in some cases correlated with the development of novel
neuronal structures. The relevance of cases of this sort would
turn on the fact that the entities in question would be examples
of mental functions – since they would be capabilities whose
bearers have evolved (or better: developed) to realize
dispositions of the given sort.</p>
      <p>We here consider three examples: being able to carry out
arithmetical operations in one’s head, being able to speak a
second language, and being able to play a musical instrument.
All of these are such that they can be exercised deliberately. We
postulate that there are networks formed in the brain in the
process of acquiring such abilities, and that these networks are
the bearers of the corresponding acquired dispositions. (Note
that we here use the term ‘bearer’ in the narrow sense, following
BFO; in common speech we often speak of the whole organism
as bearer in such cases.)</p>
      <sec id="sec-2-1">
        <title>Evidence for the Existence of Abilities</title>
        <p>
          Mental Arithmetic
Starting with the case of mental arithmetic, (
          <xref ref-type="bibr" rid="ref8">8</xref>
          ) points to
evidence to the effect that, first, there are a number of shifts in
the neuronal networks in children between second and third
grade and that, second, some of these developments, such as
greater connectivity in visual-processing areas, are directly
related to learning arithmetic:
[Our] results suggest that the development of numerical skills is
characterized not just by a shift to dorsal PPC areas involved in
visuo-spatial attention, but also to ventral visual areas that are
involved in higher-order visual processing. We suggest that
ventral visual areas contribute to arithmetic skill development by
building improved perceptual and mnemonic representations for
numerical problems (
          <xref ref-type="bibr" rid="ref8">8</xref>
          ).
        </p>
        <p>
          Furthermore, it is clear that damage to certain areas of the brain
will impair arithmetic function (
          <xref ref-type="bibr" rid="ref9">9</xref>
          ). In addition, (
          <xref ref-type="bibr" rid="ref8">8</xref>
          ) found that
when a child learns arithmetic there are “significant task-related
changes in brain response and connectivity.”
The authors found also that performing arithmetical
calculations correlates with the coordination of multiple parts
of the brain. This is inferred from the significant activation
found when children do arithmetic in the pre-supplementary
motor Area (preSMA), bilateral anterior insula cortex (AIC),
and the visual cortex (VC) (
          <xref ref-type="bibr" rid="ref8">8</xref>
          ).
        </p>
        <p>
          Mental arithmetic is clearly an ability in our sense of the term.
Arithmetic is done intentionally, and people can be better or
worse at doing mental arithmetic, can improve their skill with
practice, and in typical circumstances benefit from the
performance of this skill. It is indeed a widely shared ability,
and it would seem that everyone (even the uneducated) have the
ability to perform very simple calculations, so that it is
considered to be abnormal (and in some cases a disability) if
one is unable to carry out such calculations to a certain level.
This difference in skill might be explained by pointing to the
finding in (
          <xref ref-type="bibr" rid="ref8">8</xref>
          ) to the effect that there are task-related changes in
connectivity which occur when children engage in tasks that
train mental arithmetic. Although the neuronal networks that
bear the ability to perform mental arithmetic exist before this
ability is exercised, practicing mental arithmetic certainly
changes the connectivity of these structures. Arithmetic can
thus be considered as an ability that is in part innate and which
can be developed through practice. Many human abilities are
similar in this regard. Jumping, running, and eating are all
abilities that are innate in this sense.
        </p>
        <p>
          Speaking a Second Language
Mechelli, et al. (
          <xref ref-type="bibr" rid="ref10">10</xref>
          ) provide evidence for structural changes to
the brain induced through training that results in proficiency in
a second language. They found that there were measurable
differences in the density of grey matter in those subjects who
were proficient in a second language (
          <xref ref-type="bibr" rid="ref10">10</xref>
          ). Grey matter consists
mainly of the cell bodies of neurons (
          <xref ref-type="bibr" rid="ref11">11</xref>
          ), and the increase in
grey matter density implies the genesis of new neurons in those
regions.
        </p>
        <p>In this case, too, the increase in brain matter density can be
understood as a matter of developments in an existing structure,
rather than as the appearance of a new structure. This means
that the learning of a second language indirectly causes
modifications to neuronal networks in the brain.</p>
        <p>The difference in density is more pronounced in those who
learned their second language earlier in life, reflecting the fact
that this may be the result of a more natural process (informal
socialization rather than formal learning). Whether (or the
degree to which) the structures developed in language learning
are simply extensions of existing networks of neurons or should
be understood as separate networks altogether may thus depend
in part on when the language was learned.</p>
        <p>
          Playing a Musical Instrument
Acquiring the ability to play a musical instrument has been
shown to go hand in hand with the development of associated
neuronal networks. Elbert et al. (
          <xref ref-type="bibr" rid="ref12">12</xref>
          ) found that string players –
specifically, violinists who fret with their left hand – had greater
cortical representation in the brain for their left hands than the
control group, and that the amount of cortical representation
correlated with the age the subject learned to play.
        </p>
        <p>
          Croom also notes that musical training can cause “significant
changes in the function and organization of the brain” (
          <xref ref-type="bibr" rid="ref13">13</xref>
          ).
Croom asserts further that neuroplasticity – the capability of the
brain both to develop existing neuron networks and to create
new networks – is greater in musicians than in non-musicians.
Additionally, “musicians that practiced the piano since
childhood had a more structured pyramidal tract than
nonmusicians”. Moreover, “white-matter bundles pertaining to the
motor circuits in the brain are better structured in musicians
than non-musicians” (
          <xref ref-type="bibr" rid="ref13">13</xref>
          ).
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>Capability Bearing Structures</title>
        <p>We take it that our three examples of ability are different
enough to allow for some reasonable generalization to other
examples of abilities such as computer programming skill or
map reading ability – namely that the acquisition of these
abilities, too, involves significant changes in underlying neural
networks.</p>
        <p>In each case it is shown that the acquisition of the ability
correlates with significant changes in the brain. Though these
changes are required for one to have an ability, they do not seem
to bear abilities themselves. This is in large part because when
exercising an ability, like playing the violin, the musician
doesn’t intentionally realize the dispositions in her brain – these
dispositions are realized involuntarily – she simply realizes her
disposition (her ability) to play the violin.</p>
        <p>Thus, the structural changes in the brain that correlate to the
acquisition of an ability bear capabilities. The specific
boundaries of the brain structures are largely unknown, we refer
to them nonetheless as ‘capability bearing structures’, pointing
out that these boundaries will be a matter of gradations rather
than of physical discontinuities. We will refer in what follows
to an ability bearing structure that is a network of neurons found
in the brain as a “capability bearing network”. The question of
interest is whether capability-bearing networks bear
evolutionary functions, artifact functions, roles, or some other
class of realizable entity.</p>
        <p>Do these networks bear biological functions?
It is relatively clear that the ability to perform arithmetic, the
ability to speak a second language, and the ability to play a
musical instrument are distinguished from a mere disposition in
that they intentionally realized. These abilities are trained by the
organism, which results in the acquisition or further
development of the ability in conjunction with a change in
neuron networks in the brain. The networks themselves are not,
however, intentionally developed. When a novice pianist learns
to play piano, the ability is acquired intentionally through
deliberate practice by the pianist. Yet, a pianist need not intend
that anything happen to the structures in her brain for those
structures to change. Finally, while the processes that are
realized by the pianist’s piano playing ability are realized
intentionally, this is not the case of the processes carried out by
the underlying neuron networks.</p>
        <p>
          If the above-mentioned abilities are dispositions, then they are
dispositions with a purpose (they are intentionally acquired and
intentionally realized). However, it seems that they cannot be
biological functions in BFO’s sense. This is because entities
like contemporary languages and musical instruments were
introduced too recently in our history for a disposition (say) to
speak Italian or to play the viola to be borne by an
abilitybearing structure that would have been evolutionarily selected
for. The case is less obvious for arithmetic reasoning. For all we
know, there may have been some evolutionarily significant
advantage for those who had ability-bearing structures that bore
this ability. However, it is at the same time clear that the ability
to perform arithmetic using Arabic symbols is again too recent
in our evolutionary history for a corresponding, selected-for
ability-bearing structure to exist (
          <xref ref-type="bibr" rid="ref14">14</xref>
          ).
        </p>
        <p>Of course, this is not to say that there are no language-,
musicor arithmetic-related functions of any sort. There may, for
example, be brain structures bearing functions (such as: to
develop specialized pattern recognition skills or to manipulate
abstract systems) that are of relevance to the acquisition of the
mentioned abilities.</p>
        <p>Do these Structures bear Artifact Functions?
Given that the dispositions borne by the ability-bearing
structures described are not biological functions, one might
consider whether they are artifact functions. The structures do
indeed appear to be artifact-like in the sense that they are
brought about, at least in part, by intentional human
intervention. One might go so far as to describe the process of
learning, or instructing someone, to play the piano as the
process of producing a piano player. Production of this sort
requires also the production of relevant piano-playing
abilitybearing structures.</p>
        <p>Production in this sense, however, does not involve the creation
of a designed object and this is what is needed if the produced
entity is to count as having a function in the BFO sense. Rather,
what is created is, precisely, an ability, something that is similar
to an artifact in that it is an entity created as a consequence of
intentional actions on the part of one or more agents. In creating
the ability we do indeed bring about changes in a specific parts
of the brain of the subject involved. But these changes do not
(or at least: do not given our current technology) give rise to
entities in the brain that are designed. The development of
ability-bearing structures is rather merely a by-product of
developing an ability.</p>
        <p>For these reasons, ability bearing structures are not artifacts and
the dispositions they bear are not artifact functions.
Do these Structures bear Roles?
Roles in BFO are externally grounded realizable entities. Given
that acquired abilities are neither mere dispositions nor
functions, it is worth discussing why they are also not roles.
BFO 2.0 defines role as follows:
r is a role means:
r is a realizable entity
&amp; r exists because there is some single bearer that is
in some special physical, social, or institutional set of
circumstances in which this bearer does not have to be
&amp; r is not such that, if it ceases to exist, then the
physical make-up of the bearer is thereby changed.
Paradigmatic examples of roles are administrative in nature.
When someone becomes a student (for example by signing the
corresponding forms and receiving an appropriate validating
stamp from the salient authorities), then they take on the student
role. This role is realized in processes such as: doing
homework, paying tuition, attending classes. What enables
someone to participate in each of these processes is that some
institution has acknowledged the person’s status as a student.
Importantly, nothing need change physically or psychologically
on a person who becomes a student; the required changes are
institutional, rather than physical.</p>
        <p>Other examples of roles are also social. Consider a key that
takes on the role of being the key that opens my front door.
Suppose I need to change the locks in my house, so I purchase
new set of locks and keys. At the beginning of the day the new
keys are effectively useless to me, but then, after installing the
new locks, the keys become very important: it now unlocks my
door. During the process of the key’s going from useless to
important, nothing internal changes about the key. All of the
relevant changes are external to the key (namely the old locks
being replaced by the new locks). In this way the role of key
that opens my front door is externally, not internally, grounded.
The realizable entities borne by ability-bearing structures are
not roles because they are internally grounded. It is impossible,
for example, for a person to lose the ability to play the piano
unless that person undergoes some physical change. The same
is true of the ability to perform arithmetic or the ability to speak
a second language.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Results</title>
      <p>In order to account for abilities like playing a musical
instrument or using language, we introduce the following
definitions.</p>
      <p>
        c is a capability means:
c is a disposition
&amp; c’s realization in the normal case brings benefits to
an organism or group of organisms, where ‘in the
normal case’ means not only: in the normal range on
the scale, but also: in a context that is normal for the
group to which the bearer or user belongs (
        <xref ref-type="bibr" rid="ref7">7</xref>
        ).
a is an ability means:
a is a capability
&amp; a’s realization is intended by the bearer
The class of capabilities is meant to capture those dispositions
that are evaluable on a scale of how well the processes that
realize the dispositions are realized. Some capabilities are
realized intentionally, and these we term ‘abilities’. As such,
abilities are capabilities that can only be borne by things that
are capable of intentional action. We might also classify the
bearers of capabilities on the basis of what kind of process
realizes the capability.
      </p>
      <p>Introducing ‘capability’ enables us to formulate a new
definition of BFO: function to read:
f is a function means:
f is a capability,
&amp; f exists in virtue of its bearer’s physical make-up,
&amp; this make-up is something that this bearer possesses
because it came into being, either through evolution
(in the case of natural biological entities) or through
intentional design (in the case of artifacts), in order to
realize processes of a certain sort.</p>
      <p>All functions are capabilities because all functions can be
assessed on how well they are realized. This requires a
normative standard for evaluation, and we believe that it is
possible to have such standard only in the case that there is some
benefit that is being brought to an organism or group of
organisms. (In the case of evolved capabilities this may be:
survival.) Mere dispositions can be described in terms of how
they are realized, but they cannot be evaluated (graded on a
scale) in the way that is possible for capabilities and thus also
for functions. For example, a car has a disposition to make
engine noise. The different dispositions to make engine noise
possessed by various cars will be realized differently in a
measurable way: some cars will have louder engines than
others. However, this disposition becomes a capability only
when a normative standard is in play. Suppose that someone
uses the noise of their car to scare away racoons. In this case,
we can identify the car as having the capability to scare away
racoons, and as such an evaluative standard is introduced; the
better the car can scare away racoons, the more desirable the
car. In this case, louder cars are evaluated more positively in
terms of their racoon scaring power.</p>
      <p>The standard that appears common to all functions is whether
or not the realized process is the process, which the bearer was
designed to realize. For example, cars were designed to
transport one or more persons. If a car does not enable such
transport, it is not realizing its function. The same goes for
biological structures; a heart realizes its function of pumping
blood, if it successfully pumps blood.</p>
      <p>A process that an artifact or biological structure was designed
to perform is necessarily a capability, since it serves the interest
of at least one organism. The function of any organ, for
example, benefits the organism in that it allows the organism to
survive more easily than it otherwise would. Vestigial organs,
like the appendix, still have a function, since its realization
could benefit the organism it is a part of. However, since the
environment does not require that this function be realized, the
appendix never realize their function.</p>
      <p>Similarly, artifacts that possess functions are designed to bring
benefit to some organism, otherwise they would not be
designed. Even destructive artifacts like nuclear weapons bring
some benefit to the ones dropping the bomb, despite the horrific
destruction that they cause.</p>
      <p>One might object that someone might design an artifact to
realize a process that is not beneficial to any organism. If the
realization of this process is not beneficial to any organism, then
it cannot be a capability. Would this not be an example of a
function that is not a capability?
The natural response to this is to maintain that this artifact has
no function. It was designed with a disposition, but since there
is no benefit that it brings to any organism, there is no
evaluative standard by which we can judge how well this
process is carried out. As such, there is no way to judge how
well the process realized by the designed disposition is carried
out, meaning that it cannot be a function.</p>
      <p>Moreover, suppose that two of these artifacts are created. As
soon the question is asked, “which artifact function better”, we
need an evaluative standard. Notice “functioning better”
requires a normative evaluation. This is different than asking
“which artifact makes the louder noise”, or “which artifact can
withstand greater heat?” These are descriptive questions, which
can be descriptively evaluated in order to learn more about the
dispositions of each artifact. Asking which artifact is better,
necessarily implies a normative standard against which the
function is compared, and in order to have such a standard, there
much be some good that is trying to be reached. This good is
the benefit that it brings to organisms.</p>
      <p>Reed and Dumontier [16] use the term ‘capability’ in the
Semanticscience Integrated Ontology (SIO) to mean roughly
what is meant in BFO by ‘disposition’. They then distinguish
‘capability’ and ‘disposition’ in the following way:
“[t]herefore, a ‘capability’ in SIO is about the mere possibility
while a ‘disposition’ focuses on the likelihood” [16]. We take
this to mean that a SIO disposition is a SIO capability that is
likely to occur. The distinction between a BFO disposition and
a BFO capability is a more substantial and useful distinction
than that of SIO. Likelihoods and probabilities are able to be
ascribed to dispositions numerically. Moreover, a set of SIO
capabilities that are likely and therefore SIO dispositions will
vary with context and domain. As a result, this distinction does
not seem to belong in a top-level ontology.</p>
      <p>By contrast, the difference between BFO disposition and a BFO
capability introduces a basic class distinction. Capabilities are
a particular kind of disposition – ones that can benefit some
organism when realized. Since it is still possible within BFO to
describe the likelihood that a particular disposition or capability
will be realized, BFO’s distinction both more accurately
describes reality than SIO and has additional descriptive depth.</p>
    </sec>
    <sec id="sec-4">
      <title>Discussion</title>
      <sec id="sec-4-1">
        <title>Capabilities</title>
        <p>What is distinctive about capabilities is that they bring a
gradable benefit to some organism. Note that ‘benefit’, here, is
not to be understood as having any moral implications. For
example, a professional assassin might possess the capability to
kill someone and make it look like an accident. This is a
capability of the assassin, because it brings benefits to himself
and to his employer.</p>
        <p>Although all dispositions (including capabilities and abilities)
can be potentially beneficial in their realizations, capabilities
are set apart from mere dispositions in that their realization
normally bring benefits. For example, a beer glass has the
disposition to shatter. However, it does not have the capability
to shatter, since in the normal case its shattering brings no
benefit to any organism. In the normal case means: reliable,
regularly, expectedly, as a result of the nature of the capability
itself and of its bearer (potentially also of its owner, employer,
and so forth).</p>
        <p>The examples of abilities we addressed above, for example
playing music, show that some capabilities are such that they
bring benefits to others. There are also capabilities – for
example cars or other artifacts – which bring benefits to their
owners or to some other entities distinct from the bearer of the
capability. This can be true also of natural entities.
Niagara Falls, for example, has the disposition to increase the
relative humidity in the area around the base of the falls, but we
would not say this is a capability of the Falls because it is not
bringing a benefit to any organism in the normal case. On the
other hand, Niagara Falls also has the disposition to attract
tourists – and in this case we may indeed be talking about a
capability of the Falls, a thesis that is supported by the fact that
engineers are regularly commissioned to manage its flow.
Niagara Falls as currently managed is comparable to a car, or to
any other artifact created by design to bring benefits to its owner
or user. Here the benefits are brought to the tourists who use
Niagara Falls as a tourist destination.</p>
        <p>The benefits that capabilities bring are characterized by aiding
the interests of the organisms. An organism’s interests can
range from mere animalistic survival to a human being living a
fulfilling life. Some dispositions possessed by both organisms
and non-organisms aide in the interest of one organism or
another. As long as the realizations of these dispositions can be
used to serve the interests of an organism, that disposition is a
capability. Understood in this way, one can see how the car’s
disposition to provide heat is a capability – it aids in the physical
well-being of any organism being kept warm within the car.
Moreover, a human’s capability to make autonomous decisions
improves their well-being insofar as being able to act
autonomously contributes toward their flourishing as a human.
They can lead a more fulfilling life as an autonomous, free
agent, than as a slave for example.</p>
        <p>
          Fiat Capabilities
A fiat object is an object that does not have physical or bona
fide boundaries (
          <xref ref-type="bibr" rid="ref15">15</xref>
          ). For example, Hawaii is a fiat object
because there is no physical discontinuity that separates it from
its surroundings. The archipelago is a single entity because a
political fiat boundary has been drawn around it, a boundary
that exists not physically but rather institutionally.
        </p>
        <p>Similarly, some capabilities are really groups of more basic
capabilities, functions, or dispositions. When we pick out these
fiat capabilities, we are picking out a group of more basic
capabilities that we often use singular terms to refer to. For
example, the assassin’s capability to make his hit look like an
accident might require the capability to plan a hit, to
undiscoverably manipulate a car brake system, to track his
target’s movements, and so forth. These all contribute to the fiat
capability of being able to make his target’s death look like an
accident, and the realization of the assassin’s capability consists
in realizing these other capabilities.</p>
        <p>Similarly, a Tae Kwon Do Master’s capability to practice Tae
Kwon Do consists in a group of other capabilities. The Tae
Kwon Do master has capabilities to perform a myriad of
different techniques including blocks, kicks, and punches. Each
individual technique is a capability on its own.</p>
        <p>Fiat capabilities also allow us to distinguish differences
between instances of a capability. Both a Tae Kwon Do master
and a Tae Kwon Do student possess the capability to practice
Tae Kwon Do, but the student is less capable than the master.
One reason for this is that the master possesses a greater number
of capabilities, which we include within the fiat capability
involved in Tae Kwon Do. Since the latter is a fiat capability,
we can account for different ability levels among bearers of this
capability based on how many specific capabilities that
contribute to the fiat capability are possessed.</p>
        <p>Barton et al. have proposed a variety of ways that more basic
dispositions are able to compose a greater disposition [17].
More specific but strictly speaking different dispositions
(Barton et al. uses the example of a domino’s disposition to fall
to left and its disposition to fall to the right as composing a
greater disposition to fall) can compose a disposition that
encompasses both. This is part of the idea behind fiat
dispositions. The guitarist’s capability to play guitar could very
well be composed of her capability to fret the neck and her
capability to strum. This way of combining dispositions as well
as the other axioms that Barton et al. have proposed are
consistent with our view of fiat capabilities. Their axioms for
combining dispositions when applied to fiat capabilities such as
the capability to play guitar or to speak German.</p>
        <p>Abilities whose bearers are both mental and physiological
Acquiring an ability involves in many cases undergoing
physiological changes beyond the neurological. To acquire the
ability to play the piano, for example, requires that the joints in
your fingers becoming gradually more flexible in order that you
can play progressively more complex pieces. An ability to
speak German, similarly, involves both physical components
(involved in creating sounds) and mental components
(corresponding for example to the speaker’s knowledge of
German grammar). There are then physiological structures
outside the brain which are partial bearers, along with neuronal
networks, of acquired abilities.</p>
        <p>BFO and cognitive representation
Cognitive representations are relevant to mental capabilities
insofar as cognitive representations are involved in the
processes that realize the capability. A guitarist playing a song
might visualize the chord shapes of her fretting hand, a
technique which helps her fret the chords accurately. Similarly,
visualization occurs while reading [16], meaning that visual as
well as linguistic cognitive representations are present when the
capability to use language is realized.</p>
        <p>Reed and Dumontier [16] contend that BFO is not as well suited
as other ontologies due to its realist orientation. They contend
this is one reason why a cognitive representation is defined in
BFO as a specifically dependent continuant which depends on
“an anatomical structure in the cognitive system of an
organism” [16]. Their contention is that these representations
may exist independently of any anatomical structure, but BFO
is not able to capture this, since the entities it captures must
correspond to reality.</p>
        <p>The realist orientation of BFO does not, however, prevent it
from capturing cognitive representations. A cognitive
representation needs to inhere in some kind of cognitive
structure. Otherwise it could not exist. A cognitive
representation is only a cognitive representation if it exists in a
mind. So unless one is willing to argue that minds can exist
independently of brains (or perhaps some other physical
structure like a computer if technology brings us so far), one
must accept that cognitive representations inhere in a cognitive
system. BFO’s realist orientation gives it the aim of describing
reality. To the extent that cognitive representations are a part of
reality, BFO’s framework will be able to describe them.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Conclusion</title>
      <p>In this paper, we propose capability as a new subclass of
disposition, defined in such a way that all functions are
capabilities and all capabilities are dispositions. In addition, we
propose ability as those capabilities which are intentionally
realizable by the bearer, and we have demarcated the kinds of
bearer that a capability or ability has, focusing especially on
mental abilities.</p>
      <p>We remain neutral as to whether the term ‘capability’ should be
added to BFO, or whether it should form part of a new
Capability Ontology descending directly from BFO by analogy
with the Information Artifact Ontology.</p>
    </sec>
    <sec id="sec-6">
      <title>Address for correspondence</title>
      <sec id="sec-6-1">
        <title>Eric Merrell, Department of Philosophy, University at Buffalo, Buffalo, NY 14260 – ericmerr@buffalo.edu</title>
      </sec>
    </sec>
    <sec id="sec-7">
      <title>Response to Reviewers</title>
      <p>We would like to thank the anonymous reviewers for their
thorough feedback and criticisms. The comments provided
were extremely helpful in improving the paper. The biggest
changes that were made was a revision of our definition of
capability, and the addition of a lengthier discussion defending
our idea that all functions are capabilities.</p>
      <p>Our change to the definition of ‘capability’ was minor but
useful in avoiding a primary worry raised by one of the
reviewers. The definition of ‘capability’ now requires that the
realization of this disposition bring a benefit to some organism
rather than the bearer. This allows non-living things (and
organisms, but it is particularly relevant for non-living objects)
to bear dispositions that are capabilities as they benefit some
organism and need not benefit themselves. Partially to address
what counts as a ‘benefit’, which is crucial to our definition of
‘capability’, more time was spent explaining what we mean by
benefit and showing that all functions must benefit some
organism. By being more thorough in our argumentation to this,
we hope to have better addressed both reviewers’ worry that
there are some functions, which are not capabilities.
We also heeded one reviewer’s advice to incorporate an article
discussing the mereology of dispositions. This change
improved our paper by having it interact with further relevant
literature, and specifically improved our section of fiat
capabilities by drawing on some of the work already done on
the mereology of dispositions. We believe that our account of
fiat capabilities (and dispositions) is consistent with work
already being done on the topic. Finally, care was taken to
thoroughly address the comments on specific areas of the text,
either to fix errors or provide additional clarification or
argumentation where necessary.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          https://github.com/BFO-ontology/BFO, last
          <issue>accessed April 6</issue>
          ,
          <year>2019</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          2.
          <string-name>
            <surname>Spear</surname>
            <given-names>AD</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Ceusters</surname>
            <given-names>W</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Smith</surname>
            <given-names>B</given-names>
          </string-name>
          .
          <article-title>Functions in Basic Formal Ontology</article-title>
          .
          <source>Appl Ontol</source>
          .
          <year>2016</year>
          ;
          <volume>11</volume>
          (
          <issue>2</issue>
          ):
          <fpage>103</fpage>
          -
          <lpage>28</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          3.
          <string-name>
            <surname>Boorse</surname>
            <given-names>C</given-names>
          </string-name>
          .
          <article-title>Health as a theoretical concept</article-title>
          .
          <source>Philos Sci 1977 Jan</source>
          <volume>1</volume>
          ;
          <issue>44</issue>
          (
          <issue>4</issue>
          ):
          <fpage>542</fpage>
          -
          <lpage>73</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          4.
          <string-name>
            <surname>Wakefield</surname>
            <given-names>JC.</given-names>
          </string-name>
          <article-title>The concept of mental disorder: On the boundary between biological facts and social values</article-title>
          .
          <source>Am Psychol</source>
          .
          <source>1992 Mar</source>
          <volume>1</volume>
          ;
          <issue>47</issue>
          (
          <issue>3</issue>
          ):
          <fpage>373</fpage>
          -
          <lpage>88</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          5.
          <string-name>
            <surname>Scheuermann</surname>
            <given-names>RH</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Ceusters</surname>
            <given-names>W</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Smith</surname>
            <given-names>B</given-names>
          </string-name>
          .
          <article-title>Toward an ontological treatment of disease and diagnosis</article-title>
          .
          <source>AMIA Summit Transl Bioinforma</source>
          .
          <year>2009</year>
          ;(i):
          <fpage>116</fpage>
          -
          <lpage>20</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          6.
          <string-name>
            <surname>Limbaugh</surname>
            <given-names>DG</given-names>
          </string-name>
          .
          <article-title>The harm of medical disorder as harm in the damage sense</article-title>
          .
          <source>Theor Med Bioeth</source>
          <year>2019</year>
          ;
          <volume>40</volume>
          (
          <issue>1</issue>
          ):
          <fpage>1</fpage>
          -
          <lpage>19</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          7.
          <string-name>
            <surname>Smith</surname>
            <given-names>B</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Otte</surname>
            <given-names>N.</given-names>
          </string-name>
          <article-title>The Account of Capabilities [Internet]</article-title>
          .
          <source>github.com. [cited 2019 Apr</source>
          <volume>6</volume>
          ]. Available from: https://github.com/NCOR-US/Capabilities/wiki/The-Accountof-Capabilities
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          8.
          <string-name>
            <surname>Rosenberg-Lee</surname>
            <given-names>M</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Barth</surname>
            <given-names>M</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Menon</surname>
            <given-names>V</given-names>
          </string-name>
          .
          <article-title>What difference does a year of schooling make? Maturation of brain response and connectivity between 2nd and 3rd grades during arithmetic problem solving</article-title>
          .
          <source>Neuroimage</source>
          <year>2011</year>
          ;
          <volume>57</volume>
          (
          <issue>3</issue>
          ):
          <fpage>796</fpage>
          -
          <lpage>808</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          9.
          <string-name>
            <given-names>Peters</given-names>
            <surname>Li</surname>
          </string-name>
          , Bert de S.
          <article-title>Arithmetic in the developing brain: A review of brain imaging studies</article-title>
          .
          <source>Dev Cogn Neurosci</source>
          .
          <year>2018</year>
          ;
          <volume>30</volume>
          :
          <fpage>265</fpage>
          -
          <lpage>79</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation>
          10.
          <string-name>
            <surname>Mechelli</surname>
            <given-names>A</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Crinion</surname>
            <given-names>JT</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Noppeney</surname>
            <given-names>U</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Doherty</surname>
            <given-names>JO</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Ashburner</surname>
            <given-names>J</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Frackowiak</surname>
            <given-names>RS</given-names>
          </string-name>
          , et al.
          <article-title>Structural Plasticity in the Bilingual Brain</article-title>
          .
          <source>Nature</source>
          .
          <year>2004</year>
          ;
          <volume>431</volume>
          (
          <issue>7010</issue>
          ):
          <fpage>757</fpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref11">
        <mixed-citation>
          11.
          <string-name>
            <surname>Dehaene</surname>
            <given-names>S.</given-names>
          </string-name>
          <article-title>Evolution of human cortical circuits for reading and arithmetic: The “neuronal recycling” hypothesis</article-title>
          . In: Dehaene S, editor.
          <source>From Monkey</source>
          Brain to
          <article-title>Human Brain: A Fyssen Foundation Symposium</article-title>
          . MIT Press;
          <year>2005</year>
          . p.
          <fpage>133</fpage>
          -
          <lpage>57</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref12">
        <mixed-citation>
          12.
          <string-name>
            <surname>Elbert</surname>
            <given-names>T</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Pantev</surname>
            <given-names>C</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Wienbruch</surname>
            <given-names>C</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Rockstroh</surname>
            <given-names>B</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Elbert</surname>
            <given-names>T</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Pantev</surname>
            <given-names>C</given-names>
          </string-name>
          , et al.
          <article-title>Increased Cortical Representation of the Fingers of the Left Hand in String Players</article-title>
          .
          <source>Science (80- )</source>
          .
          <year>1995</year>
          ;
          <volume>270</volume>
          (
          <issue>5234</issue>
          ):
          <fpage>305</fpage>
          -
          <lpage>7</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref13">
        <mixed-citation>
          13.
          <string-name>
            <surname>Croom</surname>
          </string-name>
          ,
          <string-name>
            <surname>Adam</surname>
            <given-names>M.</given-names>
          </string-name>
          (
          <year>2012</year>
          )
          <article-title>“Music, neuroscience, and the psychology of well-being: a précis” Frontiers in Psychology</article-title>
          . Volume
          <volume>2</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref14">
        <mixed-citation>
          14.
          <string-name>
            <surname>Purves</surname>
            <given-names>D</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Augustine</surname>
            <given-names>GJ</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Fitzpatrick</surname>
            <given-names>D</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Hall</surname>
            <given-names>WC</given-names>
          </string-name>
          ,
          <string-name>
            <surname>LaMantia</surname>
            <given-names>AS</given-names>
          </string-name>
          ,
          <string-name>
            <surname>McNamara</surname>
            <given-names>JO</given-names>
          </string-name>
          ,
          <string-name>
            <surname>White</surname>
            <given-names>LE</given-names>
          </string-name>
          (
          <year>2008</year>
          ).
          <source>Neuroscience (4th ed.)</source>
          . Sinauer Associates. pp.
          <fpage>15</fpage>
          -
          <lpage>16</lpage>
        </mixed-citation>
      </ref>
      <ref id="ref15">
        <mixed-citation>
          15.
          <string-name>
            <given-names>Barry</given-names>
            <surname>Smith</surname>
          </string-name>
          .
          <source>Fiat objects, Topoi</source>
          ,
          <volume>20</volume>
          : 2 (
          <year>September 2001</year>
          ),
          <fpage>131</fpage>
          -
          <lpage>148</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref16">
        <mixed-citation>
          16.
          <string-name>
            <surname>Reed</surname>
            <given-names>SK</given-names>
          </string-name>
          and
          <string-name>
            <surname>Dumontier</surname>
            <given-names>M</given-names>
          </string-name>
          (
          <year>2019</year>
          ).
          <article-title>“Adding Cognition to the Semanticscience Integrated Ontology</article-title>
          .” Edelweiss: Psychiatry Open Access.
          <volume>3</volume>
          (
          <issue>1</issue>
          ):
          <fpage>4</fpage>
          -
          <lpage>13</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref17">
        <mixed-citation>
          17.
          <string-name>
            <surname>Barton</surname>
            <given-names>A</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Jansen</surname>
            <given-names>L</given-names>
          </string-name>
          , and
          <string-name>
            <surname>Ethier</surname>
            <given-names>J</given-names>
          </string-name>
          (
          <year>2017</year>
          ).
          <article-title>“A Taxonomy of Disposition-Parthood.” JOWO.</article-title>
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>