Hodges' Model: Welcome to the QUAD: Search results for conceptual spaces

Hodges' model is a conceptual framework to support reflection and critical thinking. Situated, the model can help integrate all disciplines (academic and professional). Amid news items, are posts that illustrate the scope and application of the model. A bibliography and A4 template are provided in the sidebar. Welcome to the QUAD ...

Showing posts sorted by relevance for query conceptual spaces. Sort by date Show all posts
Showing posts sorted by relevance for query conceptual spaces. Sort by date Show all posts

Saturday, June 02, 2012

Reflections [IV] Conceptual Spaces At Work: Parthemore, Unified Conceptual Space

In my notes on Hodges' model, nursing theory and conceptual spaces I've referred to Rosch, Gärdenfors and there is much of note in my copy of The Big Book of Concepts. There are gaps to fill, key sources to find and digest including the history of concepts. In Empirical Investigations in Conceptual Spaces Theory and the Unified Conceptual Space Joel Parthemore really helped this effort. His presentation began with: What is a concept? Which (for me) begs the question: What is a concept within Hodges' model? Is it a single entity?

Joel's slides included the following:
In the Beginning Was...
  • Classical definitionism: concepts are like entries in a dictionary.
  • Classical imagism: concepts are like pictures in the mind.
And then came their descendants:
  • Prototype and exemplar theories (Rosch)
  • Informational atomism (Fodor)
  • Proxytypes theory (Prinz)
  • Conceptual spaces theory (Gärdenfors)
Listening to Joel introduce his work on unified conceptual spaces I can relate several points to Hodges' model especially the following.
  • Attempt to describe how all of an individual conceptual agent’s conceptual spaces map or weave together into a single unified space, a “space of spaces” describable along certain common axes.
  • By extension, how all of the individual conceptual agents’ unified spaces map together, in linguistic human society, into a single, common unified space.
  • Unlike CST, UCST is explicitly enactive: concepts are located not in the agent nor in the environment but in the interaction of agent and environment.
A couple of speakers brought up the question of a 'space of spaces'. Centeredness also preoccupies us in health and education. We are desperate to pick up the patient and the student and put them at the center of things. I keep wondering (see link below) about the extent to which structure and a theory of cognition are interdependent in terms of the resulting conceptual spaces? Since the late 1980s Buzan's mind-mapping has struck me as not being 'grounded'. This may not be an issue in many applications, but for a generic conceptual framework some underlying structure (dimensions) seems essential.

Joel also considered this:
  • One major shortcoming of currently available mind-mapping software is the lack of any well-defined theory of cognition (let alone theory of concepts) underlying the application.
I hope I can make contact with Joel and return to this. He indicated papers and further projects with colleagues and a piece of software.

Additional link (Hodges' model - nexus, structure):

http://hodges-model.blogspot.co.uk/search?q=nexus

Friday, November 04, 2011

PJ's project [ii]: Hodges' model An aide mémoire, or candidate Gärdenforsian conceptual space? Or would you like a mint?

This 'project' has in reality been ongoing through some thirty years. Although Hodges' model is by its very nature - broad and generic - I'm sure there is a specific research question here. For me this question combines nursing (theory and practice), informatics, health and public engagement. One possible question that h2cm provokes concerns whether the model can be considered a conceptual space?

Over a couple of years I've been adding to some notes which for want of another I've framed under the question above. These notes inevitably languish for a while given a full-time nursing job (plus learning Drupal, this blog, doing posters ...). Picking the text up recently though the intro material seems to have fallen into place. An introduction should cover the recurring issues, challenges - opportunities found in nursing. Although I have the secateurs in hand and the spring is warm, Hodges' model requires that education and cognitive science are also be considered in this way. Anyway, here is the current working outline:

Hodges' model: A mere aide mémoire, or candidate Gärdenforsian conceptual space?

Abstract

Part 1: Introducing Health & Social Care, Education, Hodges' model

1 Introduction
 1.1 Health and Social Care
 1.2 Recurring Issues in Health and Social Care

2 Education
 2.0 Introduction
 2.1 Education in the 21st Century
 2.2 Issues arising in Education

3 Health Care and Nursing Theory and Hodges' model
 3.0 Introduction
 3.1 Models of Nursing (Care)
  Definitions
 3.2 Hodges' Health Career - Care Domains - Model
 3.3 Information, energy?, records

Part 2: Cognitive Science & Conceptual Spaces

4 Cognitive Science and Computing
 4.0 Introduction
 4.1 Models, contexts, situations, the Project and (Darwinian) Justification
 4.2 Forms of Literacy, Requirements and Socio-Technical Perspectives
 4.3 Computation and Computer Graphics

5 Gardenfors' Conceptual Spaces

 5.0 Introduction

Drawing upon the cognitive science and computing literature the objectives of Gärdenfors’ Conceptual Spaces are made clear from the outset:

‘… is to show that a conceptual mode based on geometrical and topological representations deserves at least as much attention in cognitive science as the symbolic and associationistic approaches’ . p.2.

To what extent is h2cm a geometrical and topological representation? It appears on a simplistic level to qualify as a complex plane (Derbyshire, 2008). In this case, however, the closest we get to imaginary numbers in the negative sense are the null hypotheses of clinical research and reasoning amid uncertainty (REF). Gärdenfors continues:

‘This is a book about the geometry of thought. A theory of conceptual spaces will be developed as a particular framework for representing information on the conceptual level.’ p.2.

Hodges' model provides a framework, but as already noted it is not as yet theory based. It is based on practice, with appeals to experience and the knowledge and skills deployed in the health and social care sector. Could the h2cm framework work with Gärdenfors theory of conceptual spaces and his resulting framework for representing information? When Gärdenfors refers to his book being about the geometry of thought, here I would ask: What have nursing theorists sought? In addition to the stated motivations, surely a geometry of nursing thought? Nursing theorists seek rules and laws for a 'geometry' of care. A geometry of care is no less idealised, no less Platonic in form ultimately reflecting the values of the profession. A geometry of care would clearly be an achievement of harmony in the midst of discord and suffering. Additionally as the nursing discipline appears to some to be compromised in respect of practice, training, attitudes and professionalism.

 5.1 Representation, Explanation and Construction
 5.2 Background on key research methods
 5.3 Gärdenfors conceptual spaces - selected definitions
 5.4 Purposes, Holistic Bandwidth, Safety, Benefits and the Socio-Technical (repetition, move?)

Part 3:

6 Nursing, Care Theory and Care Domains
 6.0 Introduction
 6.1 Indicative literature review
 6.2 H2CM, Research methods and Data, Data, Data, (Data!)

Conceptual Spaces: Process, Practice and Domains - Hodges’ model

Part 4:

Coding and Classification, Ontologies, RDF, Semantic Web
Icons, glyphs, blobs
Patterns, wholes and parts
Users, Purposes and Scope of Application
Drupal and Ruby
Domains and Domain Specific Languages
Closing Discussion

(Back to this post:)
Don't ask why I am doing this. Chaos does reign here - 'Indicative literature review' in the midst...! In my defence these are notes, what's the question? Bits of the text move about, some disappears. Part 4 could become two, or three new parts, but no more than that! To what extent is there a case for M.I.N.T. a Modern Information-oriented Nursing Theory?*

Can you get there from a conceptual framework? When you get on the "conceptual framework" bus, can we simply change the destination to "conceptual space"? Has the academic bus already been and gone, or it drove right past: "Not in Service". Is this too big an ask of a bus? You need a ship to cross an ocean - even one that is illusory.

One thing I am sure of is that the model - #h2cm, this blog #W2tQ, my picking out Drupal, Ruby and the potential of visualization in the social sciences must come together in some way. One can inform the other. There is something really worth doing here. If in the end I don't get to do it well maybe others can finish the piece (the ambiguity here is intentional). Where's that illusory ship....

* M.I.N.T. sounds better than F.I.H.T. - you know cool and refreshing; but I do prefer and we really do need a Future & Information-oriented Health Theory?

Derbyshire, J. (2008). Unknown Quantity, Atlantic Books. p.12.

Gärdenfors, P. (2000). Conceptual Spaces, Cambridge.

Sunday, June 17, 2012

Reflections [VI] Conceptual Spaces At Work: Adams & Raubal - CSML

The final day of the CS@W conference started with a topic I was really anticipating as per a previous blog post. Ben Adams and Martin Raubal had indicated by email that CSML was a work in progress and a chat after their session emphasized the same. The existence of CSML and looking at some code examples holds great promise.

Direction in Lund, Sweden May 2012 by Peter Jones
The motivation for their work stems from geographical information systems [GIS] and how to formalise conceptual spaces. Palmer (1978) was cited as providing one form of representation. Palmer's mental model being matched with formal conceptual spaces. As per Gardenfors' book Minkowski's vector space is central to this work and informs a previous paper by Raubal (2004).

Way-finding provided an example: how there are different domains with semantic distances and weights that can change according to context. The facades of buildings and the contexts of day and night. What features stand out in terms of the shape, colour, visibility, area of buildings?

Adams and Raubal moved to differentiating topological relations that emphasise dynamic concepts. Piaget's contribution was noted in how we perceive conceptual change and the work of Torsten Hägerstrand whose time geography was illustrated (the geographical aspect of their work).

Behind CSML is a conceptual space algebra that is still being developed. On conceptual spaces and the semantic web, Adams and Raubal observed through their slides that:
Description logics are limited in ability to represent semantic content (RDF, OWL).
They fail to easily express
    Semantic similarity which plays an important role in cognitive categorization.
    Complex concept combinations.
Present Semantic Web technologies are restricted in their ability to answer queries and make inferences.
My BA(Philosophy and Computing Joint Hons.) project was on the application of semantic networks in nursing. The hard work was done for me in that it was directed by existing work in GRAIL. The dissertation I produced was essentially descriptive looking at nursing examples, identifying care issues and modelling them using is_a relationships. Among a great many slides and fascinating explanations Adams and Raubal note that:
Is-A, Instance-Of
Strong – based on topological relationships
Weak – based on similarity relationships
- so the advent of conceptual spaces, CSML and their efforts to engage with the existing semantic web community shows the ongoing dynamic of the semantic web's development. They are pursuing a reification of OWL 2 CS file to OWL 2:
Unique IRI for OWL classes, individuals, properties
Unique IRI for CS domains, concepts, and instances
There may be a future website to follow in addition to the CSML source. Questions followed about whole spaces, contrast classes and support vectors.

Reflecting back, my studies from 1996-97 and the examples produced - mobility... did not really even scratch the surface. Ben and Martin's work begs the question of trying to develop CSML examples that go beyond the surface(s) and enter the conceptual space (or spaces) that is Hodges' model.

Adams, B., Raubal, M. (2009). Conceptual Space Markup Language (CSML): Towards the Cognitive Semantic Web. ICSC '09 Proceedings of the 2009 IEEE International Conference on Semantic Computing IEEE Computer Society Washington, DC, USA.

Friday, February 12, 2016

2nd Workshop: Conceptual Spaces at Work - 25-27 August 2016, Sweden

The workshop focuses on concepts and their applications using the theory of Conceptual Spaces (CS), as introduced by Peter Gärdenfors (2000).


Applications of Conceptual Spaces
It provides a geometric model for the representation of human conceptual knowledge that bridges the symbolic and the sub-conceptual levels of representation. The model has already proven to have a broad range of applicability, not only within cognitive science but also across a number of disciplines related to concepts and representation. 

A sample of this work is collected in Zenker & Gärdenfors (2015), based on papers presented in Conceptual Spaces at Work 2012 at Lund University.

...

(I hope to attend.)

Saturday, January 01, 2011

2010-2011 posts, papers, studies and Drupal

Happy New Year everyone!

2010 saw 211 posts, 183 in 2009. As ever a mix of original material concerning h2cm, conferences and call for papers. Fingers x'd 2011 should run to approx 150 posts as I focus on work, studies and Drupal. The good thing for me is that all three of these can run along together and I intend to forge a union if at all possible.

At work my full-time role is clinical - nursing; Nursing Home Liaison. Increasingly we are finding what nurses on the ground have recognized for a long time. With this job comes an educational role, despite efforts to upscale the skills and knowledge of the residential care / nursing home sectors. H2cm is a gift in these quarters, in prompting and facilitating reflection, holistic and person-centred care.

Studies: On this front I'm trying to identify a research question from a bewildering mix of possibilities. Previously I've referred to the relevance and my interest in conceptual spaces:

Hodges' model: Background - Foreground and the Space Between

The socio-tech and conceptual space papers

Next paper? Conceptual Spaces and Hodges' model

Nursing theory - conceptual spaces: Where's my T-shirt?

Gardenfors' book - a quote and can that be, surely not ...h2cm?


That other 2nd-hand book - 'Conceptual Spaces'

This is definitely a worthwhile focus. I'm making enquiries to try to find a mentor. Strange, or maybe not actually, that I am a nurse mentor and sign-off mentor too and here I am coughing and spluttering in need of a mentor myself to help sort the wheat from the chaff. The 10K words on conceptual spaces is now 13K.

The co-authored h2cm and forensic nursing paper is completed with two revisions, but still needs a home.

I missed an opportunity with the h2cm and substance misuse paper. Trying to complete it in the summer of 2009 before my eye surgery I did not stick to the brief. I'm hoping a co-author can take the 5K words and help re-frame the content from a practice and service perspective. It really is refreshing to work with other people. I look forward to providing an update here later in the Winter - Spring.

As to Drupal - I've hit the wall that has "styling" written all over it. It seems if you start with a basic theme like Zen you are rewarded with an easy to negotiate palette, that is - you do it yourself. With more complete themes you need to read and orientate yourself with somebody else's handiwork. This is the next job and then move to Drupal 7 - released on the 5th.

In October I received an invitation to present at an international nursing conference in Colombia. I've submitted a presentation and have offered to do a workshop too. This was accepted. It all depends on travel and confirmation of arrangements so we will have to see.

More to follow on all the above and wherever you are
may I wish you a very happy, healthy, 
peaceful and prosperous 2011!

To follow: Line of sight, lines of insight ...

Wednesday, June 25, 2008

Gardenfors' book - a quote and can that be, surely not ...h2cm?

The title of Peter Gardenfors' book Conceptual Spaces is enough to switch the four lights on in this house. In chapter 1 the conclusion includes -

So what kind of theory is the theory of conceptual spaces? Is it an empirical, normative, computational, psychological, neuroscientific, or linguistic theory? The answer is that the theory of conceptual spaces is used in two ways in this book. On a general level, it is a framework for cognitive representations. .... On a more specific level, the framework of conceptual spaces can then be turned into empirically testable theories or constructive models by filling in specific dimensions with certain geometrical structures, specific measurement, specific connections to other empirical phenomena, and so forth. p.30.
Chapter 5: Semantics gives us figure 5.9 (p.173):

Spatial relations between some abstract lexemes

EXISTENCE LOCATION POSSESSION OWNERSHIP

Here below is h2cm. I'll leave the explanatory connections to you:

intrapersonal sciences sociology politics

Since 1986 or thereabouts I've been teased by quadtrees, Voronoi tesselations, facet analytic theory, clustering methods et al. and set to believe there's something here that we can use....

On the website I started to explore some of the assumptions that underpin the structure and (what might contribute to) a theory of Hodges' model. The next 'paper' will assume that the reader is familiar with Hodges' model. The focus will be h2cm as a candidate conceptual space with Gardenfors' text as a key and initial source.

The domains, distances, dimensions, data# it's all there: bar the door....

Many thanks everyone for passing this way - we are now at 10,000+ visitors
#P.S. I'm actually not sure about the data - that is a real challenge.

Gärdenfors, P. (2000). Conceptual Spaces, Cambridge: CUP.

Friday, June 12, 2015

Sharing of Knowledge: Culture, Community, Conceptual Spaces and Economics (Gärdenfors)

"Culture, in the form of interaction between people, may in itself generate constraints on conceptual spaces. For example, Freyd (1983) puts forward the intriguing proposal that conceptual spaces may evolve as a representational form in a community just because people have to share knowledge (Freyd 1983, pp. 193–194):

There have been a number of different approaches towards analyzing the structures in semantic domains, but what these approaches have in common is the goal of discovering constraints on knowledge representation. I argue that the structures the different semantic analyses uncover may stem from shareability constraints on knowledge representation. [. . . ] So, if a set of terms can be shown to behave as if they are represented in a three-dimensional space, one inference that is often made is that there is both some psychological reality to the spatial reality (or some formally equivalent formulation) and some innate necessity to it. But it might be that the structural properties of the knowledge domain came about because such structural properties provide for the most efficient sharing of concepts. That is, we cannot be sure that the regularities tell us anything about how the brain can represent things, or even “prefer” to, if it didn’t have to share concepts with other brains.
Here Freyd hints at an economic explanation of why we have conceptual spaces: they facilitate the sharing of knowledge." p.17.

From: Gärdenfors, P. (2004) Conceptual Spaces as a Framework for Knowledge Representation. Mind and Matter. Vol. 2(2), pp. 9–27.



Wednesday, April 13, 2022

c/o Gärdenfors: "Events and Causal Mappings Modeled in Conceptual Spaces"

Personal circumstances mean that over the past decade I've given up on several memberships and hence the benefits that were to be had. The British Computer Society was invaluable, and I'm sure still is even at the 'Associate' level. In addition to the Nursing Specialist Group, the Expert Systems Group, Medical Informatics, SocioTechnical and a Methods group have proved an engrossing distraction and a more remote source of ongoing interest. I'm not sure if this is persistence, or stubbornness, but it surely qualifies as sustainable - as I hope this blog demonstrates.

Following the workshops in 2012, and 2016 on Conceptual Spaces I checked online for developments. Amongst the results a paper (added to Zotero):

"Another field of learning that is required for robotic reasoning
about causation and for communicating, for example in a
planning situation, is action categorization. Representations of
actions in terms of conceptual spaces, such as those proposed
by, for example, Chella et al. (2001), Gärdenfors (2014), and
Gharaee et al. (2017a,b), provide a potentially fruitful method for
implementations. Simulating an action and then using the event
mapping that has been learned to predict a result vector, can then
be used to generate plans and to reason about complex situations.
In this way, simulations can provide the robotic system the power
to imagine events that is needed to understand the physical, social
and, eventually, the emotional world we live in.

The event structure has not yet been implemented in any
concrete system. However, a cognitively motivated architecture
for holistic AI systems, including robotic ones, that integrates
machine learning and knowledge representation has been
proposed in Gärdenfors et al. (2019). The central idea of the
proposal is to use ‘event boards’ representing components of
events as an analogy to blackboards that formed the backbone
in some earlier AI systems." p.8. [with my emphasis].


For years - ever since learning and applying Hodges' model I've been carrying a requirement - a project. As Prof. Gärdenfors notes blackboards were an approach artificial intelligence systems, plus frames, cases, neural networks and others. The Health Career Model can be viewed as a series of boards, frames, conceptual spaces and compound threshold concepts. With so many purported forms of informatics and literacy, h2cm can ultimately represent the general state of affairs. It is situated (previously):

h2cm = 'GI - General Intelligence'?

'general problem'

Englemore, Robert; Morgan, Tony (1988). Blackboard Systems.
Addison-Wesley. ISBN 978-0-201-17431-1.
McCord Nelson, Marilyn / W.T. Illingworth
(1990) A Practical Guide to Neural Nets.
Addison-Wesley, ISBN 10: 0201523760.

Over the years, I've been asked about the number of books on shelves and boxed. This week on BBC Radio 4 or Times Radio(?), I caught a snippet of how we hold on to books and why. Your library: can be part of your identity. 

Knowing the life story of a resident in a nursing home, they may be comforted carrying a book; if staff can manage their anxiety about its potential use as a weapon in the event of an altercation. Having several books on a window sill [they do have a window?], can help. The light damage to the book pales in contrast to the reduced anxiety.

I realise what books mean to me - on 'display' even though nobody else sees them and even as I try to reduce the count. I still hold on to some cherished titles, and will return to those above. Originally, I picked up the Health Career Model and created the now archived website, so it would not gather dust on the shelf. Without action now though - there isn't much difference.

Gärdenfors P (2020) Events and Causal Mappings Modeled in Conceptual Spaces. Front. Psychol. 11:630. doi: 10.3389/fpsyg.2020.00630


Wednesday, May 30, 2012

Reflections [III] Conceptual Spaces At Work: Lund University, Sweden, May 2012

The next session - Event Structure, Conceptual Spaces and the Semantics of Verbs Peter Gärdenfors, Massimo Warglien & Matthijs Westera, was presented by Peter Gärdenfors whose book Conceptual Spaces (2000) I bought in Sedbergh in 2008 (talk about serendipity!).

Just reading the title back then was enough...

There was a starter question: Why are there word classes (nouns, verbs, adverbs...)?

It became evident that first morning that conceptual space as a representational form is very much still in active development. The abstract begins:

The aim of this paper is to integrate spatial cognition with lexical semantics. We develop cognitive models of actions and events based on conceptual spaces and vectors on them. The models are then used to present a semantic theory of verbs. ...
Word classes were related (as in the book) to conceptual space elements, e.g.

nouns - categories
adjectives - properties

In addressing verbs this paper seeks a two-vector model of an event.

Agent (Force) -> Patient (Result)   - result verbs describe the change in the object.

The Professor said that cognitive and linguistic aspects are often confused. Two theses were also provided - thesis 2: single domain constraint.

In addition talk of several spaces might be troubling (adding complexity), but to me the prospects of action space, category space and physical space makes the potential for modelling more explicit and accessible to Hodges' model.

I scribbled down 'agent not always necessary (fall, growth?...)' and pondered about self-care, relatives acting as a proxy.

There was a lot of detail on language, linguistics: static verbs, intentional verbs -> physical action; telic verbs. ... Rather than feel (completely!) confused by this specialist talk, I felt enthused for what is to follow.

Tuesday, May 01, 2012

Conceptual Space Markup Language (CSML): Towards the Cognitive Semantic Web

I'll start May hopefully in tune with plans towards the month's end and attending Conceptual Spaces at Work.

The SCIENCES domain page has included Markup Languages (ML) for a great many years.

In the early versions of the h2cm website there were just two 'resource' pages. When the ongoing four page format arrived then markup languages had a place.


Looking at the programme for next month's Conceptual Spaces at Work the first session listed includes this reference:
Adams, B., Raubal, M. (2009). Conceptual Space Markup Language (CSML): Towards the Cognitive Semantic Web. ICSC '09 Proceedings of the 2009 IEEE International Conference on Semantic Computing IEEE Computer Society Washington, DC, USA.
Abstract—CSML is a semantic markup language created for the publishing and sharing of conceptual spaces, which are geometric structures that represent semantics at the conceptual level. CSML can be used to describe semantics that are not captured well by the ontology languages commonly used in the Semantic Web. Measurement of the semantic similarity of concepts as well as the combination of concepts without shared properties are common human cognitive tasks. However, these operations present sources of difficulty for tools reliant upon set-theoretic and syllogistic reasoning on symbolic ontologies. In contrast, these operations can be modeled naturally using conceptual spaces. This paper describes the design decisions behind CSML, introduces the key component elements of a CSML document, and presents examples of its usage.
This is an excellent source. CSML is a really significant development for me as Adams and Raubal highlight on the first page:
The computational foundation of the Semantic Web is the formal representation of concepts and their relationships using the Resource Description Framework (RDF) and the Web Ontology Language (OWL) variants [5], [6]. These families of languages allow one to describe semantic relationships between concepts and ontologies, which can be queried using a first-order logic reasoner. An underlying assumption to these methods is the realist approach to semantics, which states that the meanings of concepts are in the real world. That is, there is a direct mapping between language terms and the world but there is no consideration of how individuals understand concepts differently. In contrast, cognitive semantics states that the meanings of terms are cognitive structures in people’s minds. This approach is of central importance for the Semantic Web, because web services interface with human users.

This isn't excellent or significant in the sense that the emergence of CSML demonstrates h2cm as a conceptual space.

Far from it.

Here and for h2cm CSML is obviously an essential tool to examine, understand and possibly extend. Anyone for PHP and XML (Drupal)? Reading the paper, it's clear that even thinking of applying CSML to Hodges' model demands answers to difficult and yet fascinating questions that involve nursing (theory, practice and values), informatics, philosophy and some maths too.

Image source:
http://www.lucs.lu.se/wp-content/uploads/2012/01/conceptual_spaces_wordl.png

Thursday, April 21, 2022

Adapting Gärdenfors' - 'event boards' figure

Further to the post:

c/o Gärdenfors: "Events and Causal Mappings Modeled in Conceptual Spaces" 

[ re. Gärdenfors (2020) ]

A related work (Gärdenfors et al., 2019) includes 'figure 1' copied here:

 

Fig. 1. The components of the holistic AI architecture
Gärdenfors et al., 2019
 


I've never been diagnosed with ADHD, but am left to wonder. I say this in all seriousness, having come across individuals who need formal assessment (autism too) and hence referral. Listening to others, it seems many people have 'unfinished' writing projects. One here (>40k words) still proves helpful, with notes on Gärdenfors' work and trying to relate this to the Health Career Model.

With some notes, I have copied the tables below from Gärdenfors (2000) and you can see the development in figure 1 above.

Cognitive Science

Goals

explanation and construction

constraint

problem of representation

Solution

SYMBOLIC

ASSOCIATIVISM

CONCEPTUAL

Table 6 Cognitive Science as explanation and construction 


These solutions to the problem of representation have been applied and their respective strengths identified in the construction of ANNs as per table 4.


Levels of Representation p.253

SYMBOLIC:

Searching, matching and rule following

CONCEPTUAL:

Vector calculations, coordinate transformations and other geometrical operations

SUBCONCEPTUAL:

Pattern recognition, pattern transformation and dynamic adaptation of values

Table 7 Levels of Representation

When presented with evidence in support of my project, I must utilise it. So, quoting Gärdenfors again:

"In this way, simulations can provide the robotic system the power
to imagine events that is needed to understand the physical, social
and, eventually, the emotional world we live in." Gärdenfors (2020)

Here, Gärdenfors' reference to: physical, social, and emotional I read as:

physical - SCIENCES domain

social - SOCIOLOGY domain

emotional - INTRA- INTERPERSONAL domain

Of course, Gärdenfors defines domain* and other terms (quality dimensions), and domain differs within Hodges' Health Career Model.

Students and artificial intelligence [AI] have something in common in that we want to enroll student nurses who have an aptitude and attitude that equips them with basic nursing skills and knowledge. This knowledge is nuanced, and would draw upon the plethora of proposed literacies, emotional, social and spiritual in this instance. Even before lectures begin, and the curriculum begins its march, the point is the need for common sense, general intelligence and ability to problem solve and reason.

Englemore, Robert; Morgan, Tony (1988).
Blackboard Systems. Addison-Wesley.
ISBN 978-0-201-17431-1.

 

In Englemore and Morgan's Blackboard Systems, Chapter 12, AGE: (Attempt to GEneralize) A Knowledge-Based Program for Building Knowledge-Based Programs (Nii and Aiello), there are two levels of irony.

H2cm is a long-term project and the journey here covers aspects of knowledge engineering, information processing to arrive at a care architecture and care assurance.


Below I've re-created figure 1, retaining 'symbolic' and 'conceptual' capabilities. The conceptual capability extends beyond conceptual spaces, to include threshold concepts, a concept-based curricula, semantic networks and more. The 'symbolic capability' is retained as I still maintain that h2cm can be represented within a computer program. The 'sub-conceptual level' has in a way been reversed - 'exploded' to take-in the primary focus and purposes for h2cm: the student, the patient, the public. 

 

H2CM: The components of a holistic care architecture -
See also: Gärdenfors et al., 2019

Our 'event board' is Nursing, Health and Social care situated using h2cm. Simulation is retained, its central location does not imply importance - quite the contrary. Theory combines lectures, research, the evidence-base, self-study, models and theories of nursing. Placements brings in clinical encounters with patients, carers and the public; plus mentors and the scope of learning opportunities. I have kept peers separate with the process of professional socialisation - which (should) span all.

*I will revisit this and my notes (definitions) at some point.


Gärdenfors P (2020) Events and Causal Mappings Modeled in Conceptual Spaces. Front. Psychol. 11:630. doi: 10.3389/fpsyg.2020.00630

Gärdenfors, P., Williams, M.-A., Johnston, B., Billingsley, R., Vitale, J., Peppas, P., et al. (2019). “Event boards as tools for holistic AI,” in Proceedings of the 6th International Workshop on Artificial Intelligence and Cognition, CEUR Workshop Proceedings, Vol. 2418, eds A. Chella, I. Infantino, and A. Lieto (Palermo: University of Technology Sydney), 1–10.

Gärdenfors, P. (2000). Conceptual Spaces, MIT Press, Cambridge.

Wednesday, May 30, 2012

Reflections [II] Conceptual Spaces At Work: Lund University, Sweden, May 2012

[See also Reflections I CSaW2012]

Among many things Dessalles - From Conceptual Spaces to Predicates - told us that meaning is essentially two-fold: analogue and symbolic.

An evocative summary was provided:

(Topo)logical thinking = Conceptual spaces + Contrast

Concepts do not exist as permanent structures.
Predicates are ephemeral.
Questions included: Is there a contrast logic?

You can find Dessalles online and there is a specific book Why We Talk (2007) (some of the chapters look particularly interesting - information).

Also to investigate are there being no locality principle and the danger of holism, and a point about structural matching as part of problems with traditional approaches to meaning that involve interfaces and relationship structures (pardon the ramble - the paper has not appeared yet).

Geuder's Manner Modification and the Representation of Event Concepts found me tweeting - see below. A biomotion demo was tied to the theme emphasizing perceptual cues, manner and meaning.

Off at a tangent the title had me musing on the importance of 'manner modification' in nursing. Sometimes fleetness of attitudinal, objective and emotional foot is needed to deal with a care situation. Tangent aside, there are clearly some serious considerations around health care processes, these are the bread and butter of healthcare records and information systems.

I've just copied my tweets (clinical examples arose in several sessions):

Gardenfors & Warglien ref new paper?* subspaces corres to a division into domains - event concepts

Manner modification eg. "slowly". (Manner central in health nursing) +mention of forgetting + absentmindedness denotes? PTSD?

A representation of a stage structure is needed - further e.g. "carefully" He cleaned the wound... filled by context (as ever)
Geuder still, now on emotional state predicates - "sadly" Three possible ways to proceed - close now

* The following may be the new paper:
Peter Gärdenfors and Massimo Warglien Using Conceptual Spaces to Model Actions and Events. J of Semantics first published online April 17, 2012 doi:10.1093/jos/ffs007


Wednesday, August 31, 2016

c/o Mauri Kaipainen - Conceptual Spaces @ Work 2016 over

Dear CS @W 2016 contributor or participant,

This message was sent to all who registered to the conference.

The second conference on Conceptual Spaces @ Work took place at Södertörn University, Stockholm on Aug 25-27, preceded by the co-located CS360 workshop on the 24th. The international event with physically present or virtual participants from all over Europe, Australia and the US was a great intellectual success. A number of applications and theoretical developments of the theory of conceptual spaces was presented, followed by lively and multi-faceted discussions that will no doubt cross-fertilise further intellectual offsprings. It is beyond the reasonable to exhaust the entire repertoire presented, several talks discussed various forms of reasoning in terms of CS. A few related CS to theory and history of science. Some other took even up fundamental epistemological questions of the paradigm.

In the panel discussion, a number of potential ways were identified in which CS might contribute to - if not solving - perhaps easing current hard problems of the world that often boil down to different or incommensurable conceptual spaces. The practical topic of the organization of the CS community was also discussed. Strong support was given to the idea of the community evolving as a self-organising network instead of being forced into some strict format. Regarding the organisation of the next CS @W conference, the two Antonios Chella and Lieto promised to look into the possibilities to organise it in Italy, the timing of course remaining open at this moment.

VIDEO RECORDINGS
All video recordings are available at https://sh-medieteknik.solidtango.com/categories/cs-w-2016 .

POST-CONFERENCE COMMUNICATION
The most natural communication channel in the present may be the CS360 network driven by Frank Zenker. If you wish to be on the mailing list, please register at https://conceptualspaces360.wordpress.com/newslist/ .

POST-CONFERENCE PUBLICATION
I will soon return to the presenters about the planned anthology, consisting mainly of elaborated talks of the conference. The deadline for the articles is April 30 2017.

Warmest thanks to all who participated or contributed to the conference!

Best regards,

Mauri
Mauri Kaipainen
PhD, professor, Media Technology
...
https://mkaipain.wixsite.com/mkaipain
Skype: mkaipain
MeetMe: http://www.doodle.com/mkaipain
--
Södertörn University
School of Natural Sciences, Technology and Environmental Studies
Alfred Nobels allé 7
S-141 89 Huddinge
Sweden

Friday, August 07, 2009

Birds in paper cages: Cognitive spaces with a little isotropy

In Consciousness Explained, Dennett (1991) provides further support for my belief in the significance of Hodges’ model:

Any of the things you have learned can contribute to any of the things you are currently confronting. That at least is the ideal. This feature is called isotropy by Fodor (1983), the power, as Plato would say, of getting the relevant birds to come, or at least to sing out, whenever they are needed. p.279.
Dennett highlights the fact that we are not isotropic. There are many often comedic instances in which people are slow or fail to fully appraise the significance of new data. This point reinforces the need and role for Hodges’ model providing not just one of Plato’s metaphorical aviaries (with knowledge in the form of the birds), but at least four (five - with spiritual claims to know-ledge).

Next spring I will return to the conceptual spaces paper I started and last saved in September 2008, how time flies! (I do finish stuff eventually - it's not easy this 'part-time' lark). As already posted on W2tQ there is more inspiration if needed. Drawing upon the cognitive science and computing literature the objectives of Peter Gardenfors’ book Conceptual Spaces are made clear from the outset:
'... is to show that a conceptual mode based on geometrical and topological representations deserves at least as much attention in cognitive science as the symbolic and associationistic approaches’. p.2 ....

'This is a book about the geometry of thought. A theory of conceptual spaces will be developed as a particular framework for representing information on the conceptual level.’ p.2.

Further reading:

Jerry A. Fodor (2000) The modularity of mind.

The Frame Problem Stanford Encyclopedia of Philosophy.

Thursday, January 25, 2018

Conference: The Foundations of Conceptual Engineering

A conference on The Foundations of Conceptual Engineering at NYU, on Sept 14 and 15, 2018. To attend, please register by following this link no later than August 31, 2018.

One dimension of cognitive success is getting it right, i.e gaining knowledge of facts. Another dimension of cognitive success is using the right concept, i.e. framing a topic in the right way. This view, if correct, tasks inquirers with critically examining the concepts they are using and perhaps replacing those concepts with new and better ones. This task is often known as “conceptual engineering”.

The idea that conceptual engineering is an important task for inquirers in and outside philosophy has recently gained traction. Some philosophers think conceptual engineering is an important task for inquirers to pursue.  The conference is focused on foundational issues in connection with conceptual engineering. Topics to be addressed include the following:
  • What are the semantic mechanisms that underlie conceptual engineering?
  • What are concepts, and which role (if any) do they play in conceptual engineering?
  • How can a theory of conceptual engineering be integrated with large-scale semantic theories? 
  • Which precise changes does a language undergo when its speakers engineer concepts?
  • Is conceptual engineering something that speakers can ever purposefully bring about?
  • What is the relation between changing concepts and changing reality? 
The planned conference will focus especially on the semantic foundations of conceptual engineering and push towards a better understanding of the process.

The conference is organized collaboratively by members of NYU (Vera Flocke and David Chalmers) and members of the research project ConceptLab, located at the University of Oslo (Herman Cappelen and Andrew Peet).

 More...

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If this conference needs a workshop, a workbench, or conceptual engineering facility they might care to look at Hodges' model. Whether for conceptual brainstorming, requirements, prototyping, refactoring, combination ... Hodges' model can have a role. Some musings in this vein follow...

individual
|
INTERPERSONAL : SCIENCES
humanistic --------------------------------------- mechanistic
SOCIOLOGY : POLITICAL
|
group

One dimension of cognitive success is getting it right,
i.e gaining knowledge of facts.
Another dimension of cognitive success is using the right concept,
 i.e. framing a topic in the right way.
Acceptable to the patient (or advocate) and ethical?
Achieving concordance - agreed 
relevant to the context, issue, problem?
Logical consistency, coherence and permanence?
Holistic bandwidth is tested - semantic scope?
Conceptual Engineering instantiated in software, argumentation? AI? Conceptual Spaces?
Topic is person-centred 
(patient, student, carer...)
Testing: Concepts with positive :: negative are switched - re-framed? 
Other dichotomies? Conceptual slide-rule?
Known 'semantic drift' in vocabulary - concepts: disuse, archaic, new, re-purposed?
Assessment is comprehensive?
Knowledge of 'conceptual engineering' 
how to - rules, laws (mechanisms)?
Concepts were measurable (as were previously defined) quantifiable?
Flagged interdisciplinary use of concept? Transdisciplinary?
Visual tools - representation, diagrams?
Reversible quality: 'engineering' disassembly?
Conceptual dependency on threshold(s)?
Engineering concepts: 
tolerance, project, professionalism, failure, risk, benefits, techne?
'Conceptual engineering' defined units & standards: word, words ... corpora?
Research methodologies, methods?
Literature
Available social sources were utilised, or at least pursued?
Narrative derived from concepts references life history (story)?
Tested and accepted by peers - multidisciplinary team?
Inclusive?
Quality criteria were met
Cultural, ethnic due regard  met

legal?
concepts used were appropriate
 to outcome(s)?
'Space' for uncertainty, constraints, unwise decisions?
Policy influence on language, examples found in health and social care 2008-2018 austerity?
Accords with and assures the Sustainability Development Goals?
'Macro conceptual engineering' - 
Level of required change in health systems: 
new & existing




Wednesday, May 23, 2012

PJ's project [iii]: Hodges' model An aide mémoire, or candidate Gärdenforsian conceptual space?

If you have a 'project' then chances are at some point you're going to commit it to paper as a text or Gantt chart...

Last November I posted an outline and some reflections about a project that I suppose has been a career in the making. This blog is part of the 'output': a channel that is open.

I am writing this in Lund, Sweden. The people, weather, the lilac and other scents on the breeze are a real joy. I'm here to attend the Conceptual Spaces at Work conference which starts tomorrow.

Part of the rationale for attending is to see if I've found a tree worthy of stressing my vocal cords over. If you compare the copy below with November then some changes should be apparent. For example, I wasn't aware of CSML back then. This conference is not so much about trying to fill in gaps, but finding them. Here is the latest listing:

Abstract
    Preface
    Introduction
    1.1 Health and Social Care
    1.2 Recurring Issues in Health and Social Care
    2 Education
     Introduction
    2.1 Education in the 21st Century
    2.2 Recurring Issues in Education
    3 Nursing, Nursing Theory and Hodges' model
    Introduction
    3.1 Sciences, Medicine and Nursing Disciplines
    3.2 Scope of Nursing Practice
    3.3 The case for models of care: Simplification, speech, writing
    3.4 Nursing Process
    3.5 Data Initialisation In Nursing
    3.6 Nursing Theory : All In The Mind?
    3.7 Hodges' Health Career - Care Domains - Model
    3.8 Problems With Models - Critique
    3.9 Problems with Hodges' health career – care domains – model
    4 Information
    Introduction
    4.1 Information, energy, records
    4.2 Clinical Classification and Coding
    5 Cognitive Science, Learning and Literacy, Computation
    Introduction
    5.1 Cognitive and Learning styles
    5.2 Models, Contexts, Situations, the Project and (Darwinian) Justification
    5.3 Forms of Literacy, Requirements and Socio-Technical Perspectives
    5.4 Computation and Computer Graphics
    5.5 Visual Software
    5.6 Software Development, data, models, applications
    5.7 Data Abstraction and Databases
    5.8 Object Oriented Programming
    5.9 Coding and Classification, Ontologies, RDF, Semantic Web
    6 Gardenfors' Conceptual Spaces
    Introduction
    6.1 Representation, Explanation and Construction
    6.2 Background on key research methods
    6.3 Gärdenfors conceptual spaces - selected definitions
    7 Hodges' model as a Conceptual Space
    Introduction
    7.1 Indicative Literature Review
    7.2 H2CM, Data, Data, Data, (Data!) and research methods
    7.3 Hodges’ model as a Conceptual Space
    7.4 Quality dimensions – discrete vs continuous and confluent
    8 Sandbox: Drupal, Ruby, CSML and SVG
    Introduction
    8.1 Scalable Vector Graphics (SVG): Web Graphics
    8.2 Conceptual Space Markup Language (CSML)
    8.3 Drupal: Open source content management system
    8.4 Ruby
    8.5 Domains and Domain Specific Languages
    9 Closing Discussion: Values
    Introduction
    Figures
    Tables
    Acknowledgements

I would love to attend SVG Open - The Graphical Web in September, but I have to cut the cloth as a dad, boyfriend, and full-time nurse... This year, ten days unpaid leave will help me pursue this work. It's not that I can necessarily afford to sacrifice salary like this, but at present it suits the NHS and me.

As to the text there will be lots more changes to follow no doubt. Chapter 4 has latent emergent properties - I hope. One struggle is 'chapters' 1 & 2, which provide a background to healthcare and education; and the closing discussion. In C1 for example, the issues include person-centered care, multidisciplinary care, records, information. ... In a way they are also themes, it's finding the right descriptor. Actually, as I write perhaps this issues-themes thing is related to there being issues that are problems that have a solution if only we can find it?

It's a big ask, but C8 and reference to the sandbox says it all. Whether it is a case of issues, themes, or problems in nursing, health and social care it is values that count. I'm hoping there's a circle there that can be closed. Then the project really becomes a baton: and I can help pass it on ...

More to follow over the next few days.

Many thanks also to Rikard for the welcome at Hobykrok B&B and the loan of a power adapter!

Tuesday, June 17, 2008

That other 2nd-hand book - 'Conceptual Spaces'

Conceptual Spaces, Gardenfors, Book coverIn February I posted about a day in Sedbergh the book town with marvellous weather for the time of year.

In addition to the The Big Book of Concepts book, I bought a copy of Peter Gärdenfors' Conceptual Spaces. Oh, to be able to take a measured and systematic approach to this....!

I'm only just up to chapter 3 and it's a fascinating book. The ideas make this a key reference for anyone studying Hodges' model (and much more besides).

The preface sums up much about some of the problems researching* Hodges' model:

"... I will satisfy no one. Philosophers will complain that my arguments are weak; psychologists will point to a wealth of evidence about concept formation that I have not accounted for; linguists will indict me for glossing over the intricacies of language in my analysis of semantics; and computer scientists will ridicule me for not developing algorithms for the various processes that I describe."
The subtitle - The Geometry of Thought - says it all. There are so many key concepts here. I'm looking forward to chasing the references cited and other works. I don't vandalise books usually, but hey it's summer almost and the highlighter is doing its thing. The questions run thick and fast....
  • Is Hodges' model one conceptual space or four...?
  • What quality dimensions can I identify?
  • What quality dimensions could a h2cm community identify?
  • What existing multidimensional scaling work exists in health and social care?
  • ....?
More to follow...

*or at least trying to research...

Thursday, June 07, 2012

Reflections [V] Conceptual Spaces At Work: Zwarts

As per previous CS@W posts Joost Zwarts' Constructing Conceptual Spaces for Lexical Semantics provided one of several examples at the conference of data analysis derived from large datasets. The abstract included:

The similarity structure of a conceptual space can be determined using lexical data or pile sorting, but it can also be based on some sort of analysis of the values involved. Using the work of Geeraerts et al. (1994) on Dutch clothing terminology, Zwarts (2010) demonstrates how a space of “shirts” can be constructed (either using graph or MDS techniques) along such lines, with fruitful results.  
This talk outlined the way features can be identified and decomposed. Key to this are classifiers which Zwarts listed as:
1 Psychological classifiers (piles)
 From similarity judgments or sorted piles
2 Lexical classifiers   (words)
 From common lexical descriptions
3 Analytical classifiers  (features)
The presentation provided a small example based on containers, which for me was very helpful as data is a real issue for my study of Hodges' model. There are datasets out there - nursing, classification systems - and secondary data sources to consider. As mentioned above Zwarts took a dataset comprised of 38,000 possible items from the clothing domain and used 244 from the sub-domain of shirts. [Geeraerts, Grondelaers, Bakema (1994). The Structure of Lexical Variation. Berlin: Mouton de Gruyter. ]

I am probably simplifying things but discussion of Hamming distance recalled for me old Byte articles on bit-classifiers. Whether a sign of progress (maturation) or my focus, but in the 1980s there were many articles on data structures and algorithms, for some reason quad trees proved quite an attraction. There was an approach to clinical classification by Johnson (1987) that adopted a ZIP code format. As Zwarts related his presentation I wondered where a primary care problem might reside in Hodges' model: (1000, 0100, 0010, 0001)? Alternately where is the emerging problem that is nudging this individual towards possible relapse?

Graphviz was used and multidimensional scaling. The talk became more technical, understanding aided by graphical examples as classical categories were introduced: A category C is classical iff it can be defined by a particular set of feature values. The conclusion brought together the technical aspects of the data examined: convexity is too strong, connectedness somewhat too weak, but that there is a clear notion of coherence. There was much here to learn from.

Johnson, B. (1987) Health Code, The Guardian, 23 July, 16 (see also (1990) Journal of Health Care Computing).

The following page is out of date but cites Johnson:
http://www.p-jones.demon.co.uk/infselct.htm [no longer available]

(I don't want to upset searches on Google for 'conceptual spaces', so I've two more further posts this month on the conference concerning CSML and OntoSpaces.)

Here is the view from my B&B I enjoyed some lovely walks into Lund, plus using the bus. With a map that stayed in my laptop bag, I enjoyed getting lost on two occasions.

The view from Hobykrok B&B

Sunday, July 06, 2008

Nursing theory - conceptual spaces: Where's my T-shirt?

Image source http//www.blazingclothing.co.uk/Tripp-Reimer's 1996 paper The Dimensional Structure of Nursing Interventions has been sitting in my dsw - 'do something with' - pile for ages. Now reading Gardenfors I came across multidimensional scaling and realised that Tripp-Reimer et al. have also been there done that. They have been wearing the T-shirt for well over a decade.

Their paper begins with the evolution of nursing’s substantive structures and the emergence through the late 1960s to the early 1980s of a plethora of conceptual models (including - but not mentioned Hodges’ model). According to Tripp-Reimer these models while clearly possessed of nursing credentials, they were not always produced as combined research and practice tools. They argue that this failure may have contributed to the rise of the metaparadigm of nursing, with the effect that:

‘At best, the metaparadigm myth provided a rationale and mechanism for the discipline to displace (transcend) the conceptual models.’ p.11.
Ah! So that would account for why Hodges' model (and other global conceptual frameworks) have languished in the lay-bye!
‘Currently, nursing conceptual models have limited utility beyond their historical importance. That utility is derived from the structures they can provide for nursing education programs. Analogously, they also provide a framework that is useful for beginning nurses, assisting them in cognitively framing a clinical situation. These models provide a map, stimulating the new nurse in a clinically familiar space.’ p.15.
The paper goes on to contrast the way these models are used a-consciously by experts. I would suggest that there is a problem in nursing theory; or if not so severe as to be deemed a 'problem' then a tension at least. Educationalists (theorists) will rightly justify the case for nursing to be defined and boundaries set; otherwise, curricula will not support delivery of the desired learning experience, would lack focus and integrity in terms of evaluation of content and professional credibility. Socio-politically professional groups need a sense of (group) identity. The intention to develop models – theories in order to delineate nursing and establish professional identity is, however, at odds with the practice objectives of holistic and (interdisciplinary) integrated health and social care. Nurses need conceptual models and spaces that extend - from the outset - beyond the clinical situation.

It is the unfamiliar spaces (patient, carer, community... occupied) that we must seek or at least be able to account for in assessment, planning, interventions, evaluation (research) and information governance. Clinical situations should certainly be familiar within the bounds (latitude) of the curricula and including the match between what is taught and practical experience (practicum).

Health and social care, education and policy are constantly changing. Amid the rapid pace of T-shirt slogan turnover tools such as Hodges’ model retain their relevance for experts and beginners alike.

Tripp-Reimer, T., Woodworth, G., McCloskey, J.C., Bulechek, G. (1996). The dimensional structure of nursing interventions. Nursing Research; 45(1):pp.10-17.

T-shirt image source Copyright © 2001 - 2008 The CELDirect Group

Tuesday, July 15, 2008

Next paper? Conceptual Spaces and Hodges' model

Somebody is in trouble.
Me!

I have not run the server for quite a while, so my Drupal skills (what they were) are in back-pedal mode again. I have been reading a bit on Ruby, but overall this is painful.

Drupalcon 2008 Sgezed is booked so at least there is an ideal opportunity to get drenched in Drupal for a week.

My excuse is that I've been carried away with what I can call the '3rd paper'. It remains to be seen whether this one makes it as a book chapter, but the working title is -
Hodges model:
Aide-mémoire or Candidate Gardenforsian Conceptual Space?
While the two page introduction uses the same two figures for the model's the axes and domains, the text is new, referring the reader to other sources for more details on the model. Thus far the 5,200 words are structured and contain the following:
  • Abstract
  • Introduction
  • Cognitive Science, Computation and Computer Graphics
  • Conceptual Spaces, Representation and Icons
  • Forms of Literacy, Requirements and Socio-technical Perspectives
  • Gardenfors: Definitions - Domains, Quality Dimensions, Properties, Convexity
  • Nursing, Care Theory and Domains
  • Conceptual Space, Hodges’ model, Process and Practice
  • Closing Discussion - Scope of Application
  • References= 32
  • Figures At least= 2
  • Tables= 6
  • Acknowledgements