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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>June</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>An Ontological Analysis of Justice</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Paul Johannesson</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Helena Zhemchugova</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Susanne Hanger-Kopp</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department for Environmental Systems Science, ETH Zürich</institution>
          ,
          <addr-line>Zürich</addr-line>
          ,
          <country country="CH">Switzerland</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Department of Computer and Systems Sciences, Stockholm University</institution>
          ,
          <addr-line>Borgarfjordsgatan 12, Kista</addr-line>
          ,
          <country country="SE">Sweden</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Population and Just Societies Program, International Institute for Applied Systems Analysis</institution>
          ,
          <addr-line>Laxenburg</addr-line>
          ,
          <country country="AT">Austria</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2022</year>
      </pub-date>
      <volume>0</volume>
      <fpage>6</fpage>
      <lpage>10</lpage>
      <abstract>
        <p>IT systems design and architecture have many similarities with the design of organisations and institutions. Both pay attention to social concepts such as rules, norms, and values. Justice is one of the key concepts that can be relevant for any institutional design from a systems perspective. This paper outlines an ontology of justice based on the Unified Foundational Ontology (UFO). We envisage that it can support designers in recognising and addressing the issues of justice during systems design and analysis, including elicitation of requirements, rules analysis, systems evaluation, and policy analysis.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;justice</kwd>
        <kwd>justice assessment</kwd>
        <kwd>social systems</kwd>
        <kwd>conceptual modelling</kwd>
        <kwd>ontology</kwd>
        <kwd>UFO</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Applying ordinary empirical predicates, such as ‘sky’ or ‘blue’, is usually straightforward as it
solely requires an understanding of their definition and some empirical facts, [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. In contrast,
evaluative predicates, such as ‘beautiful’ or ‘loyal’, can be more contentious to apply, as they
require a subjective assessment of their applicability in specific cases.
      </p>
      <p>
        Even if people agree on the definition of an evaluative predicate and the empirical facts, they
may still disagree on the applicability of the predicate in specific cases. Such disagreements
may depend on subjective factors as well as on how the definition of the predicate is interpreted
and applied as people have diferent conceptions of the predicate, [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. The concept of justice is
an example of such an evaluative predicate with diferent conceptions, [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. A parallel can be
drawn with the concept of beauty: people can agree on how to judge what is beautiful (e.g.,
it should have structural harmony and evoke joy), but they can have diferent conceptions of
beauty (e.g., having diferent perceptions of what is harmonious to them and what gives them
joy) and, therefore, provide diferent beauty assessments of one and the same work of art.
      </p>
      <p>Therefore, when analyzing the concept of justice, it pays to start with the concept of a
justice assessment, i.e., an evaluation of whether something is just or unjust. The structure of
the concept captures the basic form and components of an evaluation. The basis of a justice
assessment is a combination of grounds and lines of reasoning supporting the assessment. While
it should be possible to reach a consensus on the structure of justice assessments, there are
many diferent views on their appropriate or valid bases.</p>
      <p>
        The purpose of this paper is to outline an ontology of the concept of justice, addressing
both the structure and the basis of justice assessments. We envisage that such an ontology
can find applications in multiple fields. It bridges IT systems design and architecture with the
design of organisations and institutions where both pay attention to social concepts such as
rules, norms, and values. Justice is one of the key values that needs to be addressed by IT
systems designers during requirements elicitation and system evaluation, [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], as well as by
analysts, policymakers, and lawyers when building and redesigning institutions to adapt to
the global change, [
        <xref ref-type="bibr" rid="ref4 ref5">4, 5</xref>
        ]. Questions of justice often remain implied in research and decision
making on complex problems that are commonly termed as wicked. They combine high stakes,
high uncertainties, heterogeneous decision makers and stakeholders – and no one expert can
provide all answers, [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. To assess justice in such cases, a common foundation could facilitate
inter- and transdisciplinary communication on its aspects in diverse settings, and a systems
approach is an obvious choice for navigating such problems, [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ].
      </p>
      <p>
        The remainder of the paper is organised as follows. Section 2 ofers a general overview of
justice as discussed and understood in philosophy and ethics. Section 3 introduces an ontology
for representing the structure of justice assessments based on the Unified Foundational Ontology
(UFO), [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Section 4 suggests an ontology for formulating bases of justice assessments. Section
5 uncovers additional concepts for understanding justice in diferent social contexts to extend
the ontologies further. Finally, Section 6 summarises the paper, discusses related work, and
points out topics for further research.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. On Justice and Justice Assessments</title>
      <p>
        Justice is sometimes viewed as such a broad and multi-faceted concept that it only allows for
family resemblances in its various uses, [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. However, it has also been argued that the concept
has a core that is present in all of its manifestations. One plausible candidate for such a core
is in the definition of justice by the Institutes of Justinian: “the constant and perpetual will to
render to each his due”, [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. This definition makes it clear that justice is about a mandatory
duty that actors have to others (“to each his due”), while other ethical values, e.g., charity and
mercy, are voluntary. Furthermore, this definition emphasizes that justice is a relational concept
as it tells us how we should treat individuals (“to each his due”), which can be contrasted to
duties of a collective or a more general character, e.g. a government having the duty to reduce
disaster risks. This definition also attempts to capture the strength and robustness of justice
claims (“constant and perpetual will”), meaning that it can be expected that people appealing to
justice should not be disregarded, either arbitrarily or deliberately.
      </p>
      <p>
        Similar to many other evaluative ethical predicates, justice can be applied to entities of
fundamentally diferent kinds. Pogge [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] identifies four kinds of judicanda, i.e., entities that can
be assessed as just or unjust: “(a) individual and collective actors; that is, individuals as well
as organized and unorganized groups such as a family, firm, state, or mob; (b) the conduct of
such actors, their actions and omissions; (c) social rules, such as laws, social institutions, and
conventions; (d) states of afairs and events, such as the fact that some are much worse of than
others or that some good persons sufer while some bad ones enjoy good fortune.” In addition,
it is recognised that justice has two dimensions, which reflects its complex nature: first-order
vs procedural justice and formal vs material justice, [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Material justice is further subdivided
into distributive, commutative, restorative, and retributive.
      </p>
      <p>First-order justice is concerned with the outcome of a process, which may be a particular state
of afairs or some social rules. For example, a division of the work between all team members
can be (first-order) unjust if it is highly unequal. However, another kind of injustice takes place
if the division of work has been brought about through a process in which some team members
had no influence or voice. The latter is an example of procedural injustice that occurs when
some parties are advantaged while others are disadvantaged in one and the same process.</p>
      <p>
        Formal justice requires that relevantly similar cases are treated in similar ways. The main
challenge is determining which cases and treatments are relevantly similar. At least justifications
should be provided when cases are deemed dissimilar. Actions can be unjust even if they uphold
formal justice. For example, punishing all their children without cause constitutes unjust
behaviour on the part of the parents even if all the children are treated in the same way, [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ].
This example is about material injustice, which applies when a judicandum in itself is deemed
just or unjust independently of its relationships to other judicanda.
      </p>
      <p>Speaking further of the kinds of material justice, distributive justice is about the allocation of
scarce resources or burdens among the members of a community. Commutative justice addresses
the exchanges of resources among actors. Restorative justice focuses on how to repair the harm
caused to an actor by another actor who committed a wrongdoing. Retributive justice addresses
the punishment of actors who have committed a wrongdoing.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Ontological Basics for Justice Assessments</title>
      <p>
        A justice assessment evaluates whether something is just or unjust and to what extent. In many
respects, it is similar to a value ascription, [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], as it expresses how somebody assesses the value
of something. Thus, the ontology of justice assessments outlined in this section has several
similarities to the value ascription ontology suggested by Andersson et al. [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] and the Common
Ontology of Value and Risk proposed by Sales et al. [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]. Similar to [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ], our proposed ontology
for justice assessments is based on UFO, [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. However, it should be noted that the grounding of
the ontology in UFO is still early work that needs further consolidation.
      </p>
      <p>The ontology depicted in fig. 1 shows that a Justice Assessment is a relator that relates the
following entity classes:
• a Justice Assessor is an actor who makes a justice assessment – an individual or a group
of individuals, e.g., a judge in a court or a jury.
• a Justice Object is an object being assessed from the perspective of justice – a judicandum,
i.e., something that can be assessed as just or unjust. Judicanda are highly heterogeneous,
indicated by the class Judicandum being stereotyped as type. Judicanda include Actors,
Actions, Rules and States of Afairs , which makes the ontological classification problematic,
as actions are perdurants, while other judicanda are endurants.
• a Justice Recipient is an actor to whom justice or injustice is done. According to the
formula of “to each one his due”, a justice recipient should be restricted to being an
individual. However, it is also argued that injustice can be done to groups of animate
beings, e.g., people, or animate organisms and inanimate beings, e.g., ecosystems.
• a Justice Principle is a principle on which the justice assessor bases her assessment.</p>
      <p>Examples of three distinct justice principles are that resources should be distributed in an
egalitarian way, according to need, or according to merit. Even if justice principles provide
a foundation for a justice assessment, they are based on subjective factors of the justice
assessor. Ontologically, a justice principle may be viewed as a normative description.</p>
      <p>Justice is modelled as a quality inherent in a value assessment, meaning that it can be
measured according to a scale that can be discrete or continuous.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Ontological Basics for Justice Principles</title>
      <p>The ontology presented in fig. 1 describes the formal structure of justice assessments but does
not cover their underlying grounds or justifications. The justice principles should address
any issues concerning these grounds, but the ontology does not acknowledge them. Thus, the
question arises whether it is possible to develop another ontology that captures the key concepts
needed for formulating justice principles. Answering this question may seem a daunting task
as justice principles are defined by their function and not by their contents or structure – they
could be about anything. With this in mind, we expect that it can be both feasible and helpful to
identify the most common concepts associated with justice principles; some of these are included
in fig. 2.</p>
      <p>In order to model formal Justice for actions, we make use of the fact that an Action transforms
one State of Afairs into another while Rule operationalises Justice Principles. We introduce
a similarity relationship between the states of afairs to make it possible to express that two
actions violate formal justice if they transform similar states of afairs into dissimilar ones. Such
a similarity relator is highly context-dependent and should be defined in relation to some justice
principle, meaning that diferent situations require diferent similarity relators.</p>
      <p>
        Distributive justice principles are about distributing resources among actors in a community.
Thus, we introduce the concept of an economic resource, as defined in REA, [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ]. Furthermore,
Control is a relator that expresses that an Actor can control an Economic Resource. As suggested
by Scheller and Hruby [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], it can be specialised into possession, ownership and availability. These
concepts provide the basis for formulating those principles of distributive justice that are so
simple that they disregard the varying circumstances and needs of actors, e.g., some conceptions
of the egalitarian justice principle or the diference principle of Rawls [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]. However, more
plausible conceptions of these principles would also involve the characteristics of actors, e.g.,
by acknowledging that economic resources, in some contexts, should be distributed according
to needs. Thus, we include the concepts of actor Moment and actor Disposition.
      </p>
      <p>Commutative justice is about exchanging resources between actors, and we introduce the
concepts of Exchange events and Exchange processes to model it. Similarly, we address corrective
justice with the concept of Compensatory action, and retributive justice – with the concept
of Retributive action. Both are related to a Justice Assessment that provides the reason for the
action, e.g. a court sentence (retributive action) may be based on a justice assessment of a jury.</p>
      <p>The ontology in fig. 2 resides on a highly general and abstract level, meaning that it may
not be immediately applicable for analysing and designing specific tasks and situations. The
ontology needs to be extended with additional concepts to cater for particular circumstances.
We expect many of them to be specialisations of those already included in the ontology, e.g.,
diferent kinds of economic resources. Thus, the ontology can be used as a starting point for
designing application ontologies and relating existing application ontologies.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Additional Concepts for Capturing Social Context</title>
      <p>We view justice as a socially-bounded concept that only comes to force within social systems
that possess internal structures and are guided by intrinsic rules. Organisations, institutions,
and societies are examples of such systems. A holistic analysis of justice needs to address the
social context within these systems explicitly. The models in fig. 1 and fig. 2 need to be expanded
with additional concepts to capture it.</p>
      <sec id="sec-5-1">
        <title>5.1. Organisation View: Role, Membership, Function</title>
        <p>
          Any actor who performs an action within an organisation will do so in a role that the organisation
provides to her through organisational membership. Being an actor with a role endows the
actor with the power to perform that action. For example, a teacher has the power to carry
out examinations and grading at a university only in her role as an examiner. Other actors
without membership or a similar role cannot perform it. The role would also be associated
with a function that may or may not include liabilities. This view suggests role, membership,
and function as additional concepts for modelling the concept of justice. One way to model the
relationship between these concepts and the concept of an actor who performs an action is by
using qua-objects of UFO, [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ].
        </p>
      </sec>
      <sec id="sec-5-2">
        <title>5.2. Process View: Trigger, Consequence, Contingency</title>
        <p>
          Some dictionary definitions of justice propose that it attributes a quality to a state of afairs as
being just or unjust, e.g., [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ]. In contrast, others connect it to upholding the rules of law, e.g.,
[
          <xref ref-type="bibr" rid="ref18">18</xref>
          ]. Our preliminary models reflect the former views as we model justice as a quality inherent
in justice assessments. However, an assessment of justice often addresses an action that takes
place in some context and a context-dependent judicandum, i.e., that which can be viewed as
just or unjust. By taking the perspective of justice as a product of human agency rather than
its qualifier, we can extend this conceptualisation to include a process view of justice, i.e., the
dynamic aspects of social systems where justice is done.
        </p>
        <p>
          The process view requires us to consider the system’s environment: it may include subsystems,
be isolated from other systems or be part of a larger system. By tracing the connections between
the system and its external environment as well as those among its internal parts, we can
see how an action can provoke feedback in some or all of its parts. According to this view,
justice principles can be thought of as “loaded” in the system (e.g., subjective moral values
of a person or a group) but dormant until a triggering event (e.g., somebody’s wrongdoing
that contradicts those subjective moral values) sets them in motion and opens the floor for
making a justice assessment that considers the consequences. Further, the process view allows
us to reason about contingencies before a triggering event occurs and thus, inform decisions
on preemptive change. For example, it can be flagged when rules themselves may be unjust –
e.g., assigning excessive punishment to individuals for minor mistakes, or “useless,” [
          <xref ref-type="bibr" rid="ref19">19</xref>
          ] – e.g.,
ofering additional insurance coverage that is redundant but requires payment. Alternatively, it
can be flagged when policies may not recognise grave issues – e.g., not urging to follow the
precautionary principle for activities with environmentally harmful consequences.
        </p>
        <p>The concepts of a trigger, consequence, and contingency can possibly be modelled as a
disposition of a system related to justice principles.</p>
      </sec>
      <sec id="sec-5-3">
        <title>5.3. System Interface View: User Access</title>
        <p>
          Sustainable Development Goals (SDG), [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ], adopted by the United Nations as part of the 2030
Agenda, [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ], reflect a democratic view of global governance and express a call for action towards
global peace and prosperity. Justice is explicitly addressed in SDG 16: “Promote peaceful and
inclusive societies for sustainable development, provide access to justice for all and build efective,
accountable and inclusive institutions at all levels,” [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ].
        </p>
        <p>
          Access to justice can be understood using the rights-based approach that asks: “What rights
are being neglected?” and “Why are the people unable to access their rights?” [
          <xref ref-type="bibr" rid="ref22">22</xref>
          ]. The former
relates to the concepts of actions and judicanda discussed in the previous sections, while the
latter introduces an interface view of justice. The issues of inclusion and access to justice can be
viewed as issues of having access to interacting with the social system’s interface in exactly
those points of contact that operationalise the delivery of justice claims, i.e., entry points. Here,
the concept of a user may be relevant for denoting an actor or a group of actors, and the delivery
can be characterised by input and output. Further, entry points are controlled by either formal
institutions (e.g., court) or informal clubs (e.g., an activist community), which may follow either
formal or informal dispute resolution strategies, [
          <xref ref-type="bibr" rid="ref23">23</xref>
          ], respectively.
        </p>
        <p>
          According to our interpretation of SDG 16 and our analysis of justice thus far, not all actors
holding a universal membership within subsystems of the global community may have direct
access to the system’s interface to deliver justice claims. Therefore, diferent types of user access
may exist. In particular, the concept of a justice caller – something we have not come across
in the literature as of today – seems important to introduce. A justice caller delivers a justice
claim on behalf of an actor who cannot exercise her rights directly. For example, a lawyer is
formally responsible for delivering a claim of her client, and an ombudsman – to make sure the
government meets the interests of its citizens. With relevance to sustainable development and
climate justice, we note that some actors may not be able to come in contact with the system
directly. However, they may have justice claims to deliver for assessment. Separate individuals
and activist groups may act as justice callers for future generations who do not yet have a voice
in climate issues or on behalf of ecosystems that cannot speak for themselves by definition. An
example of the latter is the holy river Ganges that now can receive support in raising its case
after acquiring a legal status of a ‘person,’ [
          <xref ref-type="bibr" rid="ref24">24</xref>
          ].
        </p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>6. Summary and Future Work</title>
      <p>When analysing the concept of justice, it proves to be useful to distinguish between the concept
itself and its various conceptions. The former relates to the formal properties of justice on
which everyone can agree, while the latter is about diferent substantive views on justice where
much disagreement exists. In this paper, we have attempted to capture this distinction by
separately analysing justice assessments and justice principles with UFO as a top-level ontology.
We suggest that people can agree on the structure of justice assessments regardless of the
difering conceptions of justice they may have as members of diferent social systems, including
diferent views about what is just or unjust. The ontological nature of the concepts introduced
needs further investigation. While UFO ofers a strong foundation for the analysis, some open
questions remain.</p>
      <p>
        Justice is closely connected with crime and policing in law enforcement, [
        <xref ref-type="bibr" rid="ref25">25</xref>
        ], and thus, can be
investigated using methods of legal informatics. In particular, UFO-L, [
        <xref ref-type="bibr" rid="ref26">26</xref>
        ], can be used to relate
the justice ontologies to legal ontologies. Meta-ethics focuses on moral judgment, [
        <xref ref-type="bibr" rid="ref27">27</xref>
        ], and
thereby can provide insights into justice principles, [
        <xref ref-type="bibr" rid="ref28">28</xref>
        ]. Ontological analysis of justice using
UFO can help us further clarify the relationship between justice and morality as well as support
the validity of the investigation by virtue of its consistent and rule-based approach, [
        <xref ref-type="bibr" rid="ref29">29</xref>
        ]. It is
clear that justice does not exist independently of human agency, i.e., action and inaction, and
its social context. Therefore, modelling the concept from the systems perspective can provide
us with a better understanding of how we can think and reason about its boundary and thus,
make any future investigation more manageable.
      </p>
      <p>
        Although this paper considers many things, it merely starts the conversation. Directions
for future research include adding granularity to the proposed ontologies and extending them
with other modelling approaches. It can be worthwhile to follow up the discussion of the
process view of justice from Section 5 with a process model that accounts for triggering events,
subsystems, and system environments. Moreover, we can test whether justice principles can
be treated as goals that focus on the relationship between judicanda and justice recipients and
analyse them with goal modelling, [
        <xref ref-type="bibr" rid="ref30 ref31">30, 31</xref>
        ]. In such a case, justice assessments could be viewed
as statements about the degree of goal fulfilment. Furthermore, it can be useful to investigate
how to model related evaluative predicates such as compliance, social value, and use value –
to generalise the justice assessment ontology. Access to justice can be conceptualised in other
social systems, i.e., societies that are not Western democracies – to extend the systems view
of justice further. The task of identifying the intricacies of social systems that difer from the
ones we ‘know best’ may not be trivial. Nevertheless, such an exploration can expand our
understanding of the legitimacy of diverse sources and forms of knowledge, not least when
reasoning about such a demanding concept as justice.
      </p>
      <p>Most importantly, to avoid making unsubstantiated claims, the models and modelling concepts
presented in this paper should be tested in application to real-life scenarios to validate the
approach further.</p>
    </sec>
  </body>
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