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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Emotions, Money and Other Amorphous Things. An initial exploration of “Substance”.</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>StefanoDe Giorgis</string-name>
          <email>stefano.degiorgis2@unibo</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>AldoGangemi</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>ISTC-CNR</institution>
          ,
          <addr-line>via San Martino della Bataglia 44, Roma (RM)</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>University of Bologna</institution>
          ,
          <addr-line>Via Zamboni 38, Bologna (BO)</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Embodied Cognition and cognitive metaphors theory take their origin from our use of language: sensorimotor triggers are disseminated in our daily communication, expression and commonsense knowledge. In this work, we extend the existing ImageSchemaNet ontology, an ontology representing knowledge about image schemas, focusing on a specification of the notion of “object”: Substance. The investigation is intended as an extension of ImageSchemaNet, extending the Image Schematic layer developed on top of FrameNet and integrated in the Framester resource. Finally, this methodology allows the extraction of sensorimotor triggers for Substance from WordNet, VerbNet, MetaNet, BabelNet and many more.</p>
      </abstract>
      <kwd-group>
        <kwd>image schemas</kwd>
        <kwd>ontology</kwd>
        <kwd>knowledge representation</kwd>
        <kwd>cognitive metaphors</kwd>
        <kwd>embodied cognition</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Image schemas (IS) are conceptual structures proposed within the framework of embodied
cognition. They capture sensorimotor experiences and influence abstract cognition, including
commonsense reasoning and the semantic structures of natural language (see e.g. Mandler
and Hampe [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ]). Image schemas are internally structured ges3t]aclotmsp[osed of spatial
primitives (SP). These spatial primitives form unified wholes of meaning, constituting more
complex image schemas 4[
        <xref ref-type="bibr" rid="ref1 ref5">, 1, 5</xref>
        ]. Some of the main relevant atempts to formalise image schemas
and their compositionality are Image Schema LoISgLic
[
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], and the ImageSchemaNet
ontology7[].
      </p>
      <p>For instance, in the expression “They’re filled with jealousy,” or “She’s overflowing with love,”
the emotions are conceptualized as amorphous entities occupying a physical space, restricted in
movement by aContainer, which is the body. This is a well-established conceptual metaphor,
ARE SUBSTANCES, MONEY IS A SUBSTANCE, QUALITIES ARE SUBSTANCES,
https://stendoipanni.github.(iSo./De Giorgis);https://www.unibo.it/sitoweb/aldo.gang(eAm.iGangemi)</p>
      <p>© 2023 Copyright for this paper by its authors. Use permited under Creative Commons License Atribution 4.0 International (CC BY 4.0).
TAXATION IS FORCEFUL REMOVAL OF A SUBSTANCE, TIME IS A SUBSTANCE,
andWEALTH IS A SUBSTANCE.</p>
      <p>While the presence of image schemas in natural language has been investigated using
corpusbased [8, 9] and machine learning method1s0,[ 11, 12], there are few formal approaches to
operationalize image schemas (e.g., Image Schema Log6ic]); [and connect them to existing
resources for semantic representation.</p>
      <p>
        Here, the term ”image schema profile” is employed as defined in1[
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] and [14]. It refers to the
collection of activated image schemas associated with an entity, sentence, situation, or event.
      </p>
      <p>
        hTe approach adopted in this work is derived directly from Fillmore’s Frame Semantics.
Image Schemas are in fact explicitly defined by Johnso3n]a[s internally structured gestalts,
that are, composed of spatial primitives (SP) that make up more complex image schemas as
unified wholes of meaning 4[
        <xref ref-type="bibr" rid="ref1 ref5">, 1, 5</xref>
        ].
      </p>
      <p>
        Frames are schematizations of recurrent situations, requiring a certain number of necessary
elements (namely semantic roles) participating to the situation to occur. Frame Semantics
is described more in detail in Secti2o.1n. ImageSchemaNet is the ontology (formal and
explicit representatin of knowledge of a certain domain) for Image Schemas. In the context of
ImageSchemaNet each image schema is modeled in OWL2 synstax as a frame with a certain
number of roles. Currently ImageSchemaNet covers the following IS:
• Containment: an experience of boundedness, entailing an interior, exterior and a
boundary [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
• Center_Periphery: the experience of objects or events as central, while others are
peripheral or even outsid1e5][. The periphery depends on the center but not vice versa
[16].
• Source_Path_Goal: a source or starting point, goal or endpoint, a series of contiguous
locations connecting those two, and movem3e]n.t [
• Part_Whole: wholes consisting of parts and a configuration of p1a6r]t.s [
• Support: Contact between two objects in the vertical dimens1i7o]n. [
• Blockage: obstacles that block or resist our force; a force vector encountering a barrier
and then taking any number of directi3o]n. s [
hTis work aims at investigating a less covered specification of tOhbeject image schema,
namelySubstance.
      </p>
      <p>hTe formal representation oSfubstance is important from a theoretical perspective since it
is in some way related to the notion of “Mass-Count” introduced in Lakof &amp; Jo1h8n]s,oannd[
it is documented by Hurtienn1e9][ in the Image Schema Catalogue (ISCAT) repository.</p>
      <p>Formalizing knowledge about the concepStuobfstance would improve commonsense
knowledge extraction, allowing possible automatic inferences such as: if there is an entity
which triggerSsubstance, it needs to be spatially located in some soCrotnotfainer or at least
boundedSurface. Furthermore, automatic detection of substance could provide ways to detect
conceptual metaphors mapping multiple domains (such as Emotions, Money, Time, etc.) on the
Substance one. Finally, automatic detecStuibosntance could find useful integration in works
such as [20], exploring afordances and behavior of liquid entities.</p>
      <p>hTis work preludes some research questions such as:
• Is Substance an image schemaper se? Or is it a property omfater which determines
the typology of aOnbject as being of type “Mass-Count”, and consequently determining
its afordances?
• What are the defining properties Soufbstance? (For example its mereology, including
homeomery, homogeneity, arbitrary divisibility, etc.)
hTis work is a preliminary investigation to provide an answer about the ontological nature
ofSubstance, therefore, in this perspective, it is not interesting nor useful trying to provide a
top-down formalization which would not reflect real world occurrences. For this reason this
work focuses on populating a knowledge graph of semantic trigSguebrsstoafnce, namely, real
world occurrences, to foster future meaningful clustering and investigations of subtypes and
properties restrictions. In the next paragraph we provide details about the adopted approach.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related Works</title>
      <p>
        In this section we provide details about current state of the art about the domain of image
schemas. Firstly we mention relevant works in the image schema domain, while in 2S.e1ction
we describe previous works modeling image schemas from an ontological perspective.
hTere is no clear agreement on “Substance” as Image Schema or Spatial Primitive.
Studies have been developed aboOutbject by Peña [21], and Langacker2[
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
      </p>
      <p>Cienki [23] describes theObject image schema as:</p>
      <p>An object is a material thing which we can see and feel. We may think of an object
as a discrete item.</p>
      <p>In particular thOebject image schema has been the focus of Santibanez w2o4r]k,a[nd it is
described as:
hTe OBJECT image-schema is experientially grounded in our physical and social
interaction with our own bodies and with other discrete entities in the world.
More recently, Szwedek25[] defines an Object as:
[…] An OBJECT schema can be defined as mater, with density as a fundamental
property, in some bounded form.</p>
      <p>hTe Substance IS that we examine in this work seems to difer from Cienki and Santibanez’
Object for “being a discrete item”. Consider as example the famous Sorite’s paradox, for which
a pile of sand remains a pile of sand if one single grain of sand is taken of, but if we continue
grain by grain, there is no clear threshold determining which is the last grain of sand that can
be taken away, for that entity to remain a pile of sand. FurthSeurbmstoarne,ce seems to difer
also from Szwedek’Osbject definition, for its specification of being “in some bounded form.”
hTe Substance IS has been documented by Hurtienn1e9][, and it is reported in the Image
Schema Catalogue (ISCA1T.)
1An updated and upgraded version is available as Image Schema Repositoryhthteprse:/:/github.com/dgromann/
ImageSchemaRepository</p>
      <p>hTerefore, in this work our focus is on the notion of “Substance” as specificatiOobnjeocft
lacking the restriction of some bounded form. We propose to modSeulbtsthaence IS as a
semantic frame (described in Secti2o.1n) subclass of thOebject class in ImageSchemaNet.
2.1. Framester, ImageSchemaNet and the Frame Semantics Approach
Frames in a most general notion are (cognitive) representations of typical features of a situation.
Fillmore’s frame semantic2s6[] has been most influential in conjugating linguistic descriptions
and characterisation of related knowledge structures to describe cognitive phenomena. Words,
multi-words expressions, and phrases are associated with frames based on the common scene
they evoke. A resource formalizing this theory is Fram2e7N],eitn[which frames are explained
as situation types.</p>
      <p>Fillmore explicitly compares frames to other notions, such as experiential2g8e],stalts [
stating that frames can refer to a unified framework of knowledge or a coherent schematization
of experience. Thus, widely acknowledged frames provide a theoretically well-founded and
practically validated basis for commonsense knowledge paterns.</p>
      <p>
        Framester2[9, 30] is a linked data hub that provides a formal semantics for f3r0a],mbeass[ed
on Fillmore’s frame semantic2s6][. In Framester semantic3s0[]
observed/recalled/anticipated/imagined situations are occurrences of frames. It creates/reengineers linked data versions
of linguistic resources, such as WordN31e]t, O[ntoWordNet3[
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], VerbNet 3[
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], BabelNet3[
        <xref ref-type="bibr" rid="ref4">4</xref>
        ],
jointly with factual knowledge bases (e.g. DBp3e5d]i,aY[AGO [36]). Framester also includes
MetaNe2t [37] a cognitive metaphors layer of knowledge, ImageSchema7N]etth[e image
schemas ontology.
      </p>
      <p>ImageSchemaNet is a formal and re-usable representation of image schemas as Semantic
Web technology in form of an ontological layer. It presents a formal representation of image
schemas as a new layer of the Framester hub. Since a major flaw in current image schema
theory was the lack of agreement about the lexical coverage of image schemas, ImageSchemaNet
introduces an image-schematic layer linking IS and SP to FrameNet frames and frame elements,
WordNet synsets (sets of contextual synonyms) and word supersenses, VerbNet verbs, etc.,
thereby creating a formal, lexicalized integration of cognitive semantics, enactive theories, and
frame semantics. Currently, ImageSchemaNet provides lexical coverage and formalization for
the following six image schemaSso:urce_Path_Goal, Containment, Center_Periphery,
Part_Whole, Support, andBlockage.</p>
      <p>Framester can be used to jointly query (via a SPARQL end3p)oainlltthe resources aligned to
its formal frame ontol4o.gFyramester has been used37[] to formalize the MetaNet resource
of conceptual metapho5,rbsased on FrameNet frames as metaphor sources and targets
(framebased), as well as to uncover semantic puzzles emerging from a logical treatment of frame-based
metaphors.
2hTe MetaNet schema in Framester’s OWL is athttps://w3id.org/framester/metanet/sch.ema/
3http://etna.istc.cnr.it/framester2/sparql
4hTe Framester Schema is available ath: ttps://w3id.org/framester/schema/
5hTe MetaNet schema in Framester’s OWL is athttps://w3id.org/framester/metanet/sch.ema/</p>
    </sec>
    <sec id="sec-3">
      <title>3. Substance Knowledge Graph</title>
      <p>ProposingSubstance as a specification ofObject in ImageSchemaNet requires some steps to
populate the knowledge graph of semantic triggers, as described in the following. Adopting
the frame semantics approach as mentioned above means that every lexical unit referring to a
portion of reality that can only be understood having in mind some notion of “substance” will
be a trigger for tShuebstance image schema. We proceed describing the knowledge graph
population step by step, as shown in Figu1.rAell the yellow rectangles are classes of entities,
coming from multiple semantic web resources, while blue ovals are SPARQL queries, provided
as additional mater6ial.</p>
      <p>Manual Lexical Units Selection The initial step in the process involves a manual selection of
a limited set of lexical units that are directly related to the conceptual frame being constructed,
in this case: Substance. We call this set “Starting Lexical Material” (SLM). The SLM set is
6hTe SPARQL queries are available here:https://github.com/StenDoipanni/QUOKKA
selected manually considering tSuhbestance examples in the ISCAT repository, and then
further expanded using the WordNet resource, which can be accessed through its online user
interfac7e. This expansion aims to leverage the relationships of hyponymy and synonymy
among terms. By manually selecting an initial set of lexical units and expanding it using
WordNet, we can lay the foundation for building a robust conceptual frame for the desired
domain.</p>
      <p>All the following steps are performed via SPARQL queries to the Framester e8ndpoint.
ConceptNet-driven triggering Some ConceptNet relations are used to gather knowlegde,
as shown in Figur1e. By leveraging these ConceptNet relations, we can explore the
interconnectedness between lexical units and concepts, expanding the initial set of terms and enriching the
conceptual frame construction process. In F1igiutries shown as a lexical unit like “substance”
leads to a more specific entity in ConceptNet, suchcna:snanosubstance.</p>
      <p>WikiData lexical triggering The WikiData lexical triggering step relies on the entities
obtained from the ConceptNet-driven triggering process. The Starting Lexical Material (SLM)
set serves as the input variable to retrieve all corresponding WikiData entries1. tInheFigure
individual shown iwsiki:mixture.</p>
      <p>DBpedia factual triggering In parallel with the WikiData lexical triggering step, it is
possible to retrieve entities aligned with the DBpedia resource, which provides factual grounding for
the domain knowledge base.</p>
      <p>Frame-driven triggering In a separate branch, as depicted in Fig1u, rtehe selected lexical
units from the Starting Lexical Material (SLM) set are examined to determine if they serve as
lexical triggers for existing FrameNet frames. This step aims to leverage pre-existing frames
that may partially overlap with the desired domain or provide more specific or general
situational schematization. In this case are shown and declared as triSgugbesrtsafnocre the
fs:Substance andfs:Amalgamation frames.</p>
      <p>Frame element-driven triggering This step pertains to a scenario for which certain aspects
of Substance may already be addressed by existing frames, enabling the adoption of the
established structure of formalized semantic roles, where frame element activation revolves
around the activation of semantic roles associated with the occurrence of a certain situation,
i.e., a Frame occurrence, within the specified domain.</p>
      <p>FrameNet Lexical Units triggering This step naturally follows from the preceding
paragraphs and the adoption of a frame structure. By accessing the online user interface of the
FrameNet resourc9,eit becomes apparent that certain lexical units are identified as evoking
7WordNet online resource is available hhetrtep:s://wordnet-rdf.princeton.edu/
8hTe Framester endpoint is available hereh:ttp://etna.istc.cnr.it/framester2/sparql
9hTe FrameNet online user interface can be foundhatttps://framenet.icsi.berkeley.edu/fndrupal/about
specific frames. To fully comprehend the semantics of these lexical units, a common
understanding of the system of semantic relations and the contexts in which they convey their meanings
is required. The purpose of this SPARQL query is to incorporate the FrameNet lexical units
as triggers for the frame being constructed. These lexical units are declared in FrameNet as
triggers for frames that exhibit either total or partial overlap with the intended domain.
WordNet lexical triggering The activation of lexical material plays a significant role in
semantic detection, and it is accomplished by automatically reintroducing the results of the
Frame activation query into the workflow. This refers to the frames that were previously
manually selected. The rationale behind this step is that if an entity evokes a FrameNet frame
that is related to the frame being modeled, then that entity should also be activated in relation
to the frame itself.</p>
      <p>Close Match triggering In addition to WordNet synsets, entities from various semantic
web resources are aligned with frames in the Framester hub. This alignment is established at
the meta-level using tshkeos:closeMatch object property. It declares that a concept
identified by a specific URI in one resource has a close match with another concept identified
by a diferent URI in another resource. Although the two entities remain distinct, they point to
the same or similar aspect of reality.</p>
      <p>Here, we specify the entities aligned withstkhoes:closeMatch relation from several
resources, how they interlink with each other, and the specific SPARQL query for each resource:
• WordNet synsets: These are sets of contextual synonyms. As explained in the previous
paragraph, if two lexical units can be used as synonyms in the same context, it can be
inferred that the considered context is possibly a subframe of the frame being modeled.
hTerefore, declaring the entire synset as a trigger for a frame results in a significant
increase in coverage, including all the senses of the terms that can be used in similar
situations. Some frames that schematize events or actions may hsakvoesa:closeMatch
relation to verbs or nouns that point to those events or actions. The query to retrieve
WordNet synsets subsumed by a frame is the one mentioned in the previous paragraph,
while the general query to retrieve those alignsekdovsia:closeMatch is mentioned
at the end of this paragraph.
• VerbNet verbs: Verbs from the VerbNet resource can be retrieved through the alignment
between WordNet “word senses” and VerbNet “key senses”, as well as through the close
match alignment with frames. The verbCoalesce_22022100 is shown as example
in Figure1.
• PropBank frames: Frames from the PropBank resource are aligned with FrameNet
frames through thsekos relation. By providing the URIs of the FrameNet frames as
input for the “PropBank triggering” SPARQL query, entities from the PropBank resource
can be collected. The example shown is thpeb:fuse.01 frame.
• BabelNet entities: A further multilingual coverage is provided through the alignment of
BabelNet with Framester frames. The updated online version of BabelNet (5.2) may difer in
size and coverage compared to the version in the Framester resource (3.7). Nonetheless, it
is possible to retrieve entities from over 270 languages throsukgohst:hceloseMatch
alignment.
• Premon entries: Premon entries are an extension of the lemon model by the W3C</p>
      <p>Ontology - Lexica Community Group.</p>
      <p>YAGO Ontology triggering The WordNet lexical grounding is utilized once again to retrieve
entities from the YAGO (Yet Another Great Ontology) resource. In this case, the alignment is
achieved through thoewl:sameAs property towards WordNet synsets.</p>
      <p>Semantic role-driven triggering While potential roles participating in a specific frame are
extracted from FrameNet frame elements (as described in the “Frame element-driven triggering”
paragraph), according to Framester semantics, they are not the only sources for structural
elements that can serve as roles in a frame occurrence.</p>
      <p>In Framester, triggering assertions from FrameNet frame elements are extended to include
multiple sources of semantic roles: VerbNet arguments, PropBank roles, and WordNet tropes.
Semantic type-driven triggering A dimension that complements the previously mentioned
aspects is the semantic type of an entity.</p>
      <p>hTe final knowledge graph, which consists of several thousands of semantic triggers, from
the above mentioned semantic web resources, is available on the ImageSchemaNet GitHub
repository. A summary table with details about semantic web resources reused and the exact
number of entities per resource triggerinSgutbhsteance IS is available as additional material
on the ImageSchemaNet GitHu10b..</p>
      <p>In the next section we show how, thanks to the knowledge retrieval and frame building
workflow shown in Figure1, it is possible to perform automatic detection from natural language
of theSubstance image schema.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Automatic Substance Detection</title>
      <p>Following the methodology described3i8n],[we are able to perform automatic image schema
detection from a sentence via reusing the FRED tool.</p>
      <p>FRED [39] could be defined as a “situation analyzer”. It is a hybrid knowledge extraction
system to generate knowledge graphs directly from natural language. It is built with a pipeline
that includes both statistical and rule-based components, and produces as output RDF and OWL
knowledge graphs, with embedded entity linking, word-sense disambiguation, and
frame/semantic role detection, aligning entities in the produced graph directly to entities from Framester
resource.</p>
      <p>Consider the sentence “I feel a mixture of anger and emotion” taken from Stefanowitsch’s
example [40]. The example is taken from the ISCAT repository, and refers to the MetaNet
cognitive metaphoErMOTIONS ARE SUBSTANCES. We give the sentence as input to the
FRED tool which generates the graph shown in Fi1g. ure
10The ImageSchemaNet repository is available here: https://github.com/StenDoipanni/ISAAC/tree/main/</p>
      <p>ImageSchemaNet</p>
      <p>As shown in figure, there is a main “feeling” event, which takes as VerbNet role Theme the
“mixture” lexical unit. This unit evokes thfes:Substance and fs:Amalgamation
frames, which in turn triggerStuhbestance image schema.</p>
      <p>Furthermore, the lexical unit “mixture” is disambiguatwedn:omnixture-noun-1,
and the FRED tool disambiguates the lexical units referring to the “Emotions” domain to
thewn:anger-noun-1 andwn:emotion-noun-1 WordNet synset as well as on the
DBpedia enititiedsb:Anger anddb:Emotion.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusions</title>
      <p>We started from sparse definition for a less investigated image schema, in particular adopting
a botom-up approach, considering the examples in the Image Schema Catalogue repository,
to generate a formal representation of the conScuebpsttaonfce, introducing it in the already
existing ImageSchemaNet ontology.</p>
      <p>Substance is modeled as subclass oOfbject, and we populated the knowledge graph of
semantic triggers reusing multiple semantic web resources from the Framester hub.</p>
      <p>We finally performed a automatic image schema detectionSufobrstance generating a
knowledge graph from natural language with the FRED tool.</p>
      <p>Future works include a refinement of the detection process, in order to consider the domains
involved, and possibly detect specific cognitive metaphors.</p>
    </sec>
    <sec id="sec-6">
      <title>Acknowledgments</title>
      <p>hTis work is supported by the H2020 projects TAILOR: Foundations of Trustworthy AI -
Integrating Reasoning, Learning and Optimization – EC Grant Agreement number 952215 – and
the Italian PNRR MUR project PE0000013-FAIR: Future of Artificial Intelligence Research.
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