Joseph Simpson | 1 Feb 2006 04:21
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Book - "The Iconic Logic o Peirce's Graphs" by Sun-Joo Shin

Anyone have an opinion about this book?

Take care,

Joseph Simpson
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Gary Richmond | 1 Feb 2006 05:44
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Re: Book - "The Iconic Logic o Peirce's Graphs" by Sun-Joo Shin

Joseph Simpson wrote:
Anyone have an opinion about this book?
Perhaps Frithjof Dau  will comment on Shin's book as I am fairly certain that he has an opinion on it as we discussed it briefly one evening in Dresden at ICCS03. He hinted off-list that he might respond to "The Endoporeutic Method" by Ahti-Veikko Pietarinen which I had sent him & John Sowa off-list and which John then directed the list's attention to a day or so ago. See:
http://www.digitalpeirce.fee.unicamp.br/endo-p.htm

I had read Shin's book & discussed it with Mary Keeler (PORT) the year it came out and, as I was somewhat bewildered by it, I asked Frithjof what he thought about it when we were Dresden that year as I am always interested in his thinking on EGs. As I only vaguely recall what he said, while his opinion may have changed since then, I of course leave it entirely up to him if he cares to comment on it at all, and I only mention him in this context as I would be especially interested in his response to Pietarinen's comments on Shin as regards an endoporeutic interpretations of graphs (I hope he'll forgive me this presumptuous little bit of nudging :-). In any event, Pietarinen has this to say about it.
According to Shin (2002), Peirce's obsession with endoporeutic interpretation in fact has foiled a comprehensive understanding of his system and its setting in a wider perspective. Is this a plea for compositionality? Shin does not use such a term, but says that no challenge has been made to the endoporeutic method of reading graphs. It does not "reflect visually clear facts in the system", and in fact "forces us to read a graph in only one way" (Shin, 2002, p. 63).

What are these visually clear facts? Shin refers to the impossibility of reading graphs so as to determine which are oddly enclosed and which are evenly enclosed by cuts. While this endoporeutic reading may give correct truth conditions for graphs, nested cuts are often needlessly forced to be substituted by corresponding implications. There is no mention in such a reading of a disjunction, namely the juxtapositions of encircled subgraphs within an even number of cuts. Likewise, no vocal difference obtains between existential and universal quantification in the endoporeutic outside-in reading of graphs.

These remarks made by Shin in fact reflect wider and more far-reaching issues. She terms the preferred reading a "direct reading" or a "multiple reading", while the endoporeutic reading is "indirect". Similar terminology was employed by Keith Stenning in his discussion on the iconic nature of diagrammatic methods (Stenning, 2000). There is no mention of the dialogical, communicational interpretation of graphs in these works. I strongly doubt that a comprehensive overview of existential graphs can be obtained without such an interpretation. For instance, the difference between existential and universal quantification is precisely that which determines which one of the parties, the Graphist or the Grapheus is to choose an instance from the universe of discourse as intended by the proposition depicted by the graph. The switching between them is then facilitated by the system of cuts. Likewise, the distinction between reading the graphs as representing conjunctions and reading them as representing disjunctions amounts to this role-playing view of dialogical or game-theoretic interpretation.

The absence of two interlocutors is a symptom of a more general presupposition concerning logic and language, compositionality. This assumption that has preoccupied a number of logicians and logically minded linguists in their search for suitable expressive representations. The communicative and dialogical interpretation of existential graphs shows what is ill conceived in such preoccupations. Given a full endoporeutic interpretation of graphs, there is nothing missing in the way these graphs are read, as the distinction between different quantifiers and different logical connectives is exposed by the system of choices performed by the utterers and the interpreters associated with the graph, the meaning of which is to be disclosed.

Another way of putting a closely similar point across is to note the equivocation in Shin's use of the term endoporeutics and Peirce's use of it. Shin speaks about the "endoporeutic reading" of the graphs, while for Peirce, the endoporeutic principle was not a matter of reading the graphs, but a necessary follow-on from the diagrammatisation that dictates how to interpret them. This principle provides with a method for expressing the truth of the graphs, and consequently a method for reading them. A full understanding involves the usage of the two interlocutors, who choose and assign semantic values to each component in a certain order that respects the passage from the outer instances to the inner, contextually constrained instances. This order can be unambiguously spelled out in the game-theoretic interpretation (see below), and it is implicit in Peirce's notion of "nests" of graphs (CP 4.472, c.1903; CP 4.494, c.1903; CP 4.617, 1908).
Gary

Gary Richmond | 1 Feb 2006 07:36
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Re: Book - "The Iconic Logic o Peirce's Graphs" by Sun-Joo Shin

Joseph and list,

Just a word more. One might want to take a look at Dau's paper "Mathematical Logic with Diagrams" to contextualize any comments he may (or may not!) have to make on this topic. See:
http://www.dr-dau.net/Lehre/WS05_Logik/egs.pdf

Also, a slide show of Pietarinen's is quite helpful in this connection. See:
http://www.cs.ioc.ee/~tarmo/tsem03/pietarinen-slides.ppt

Of course, Peirce's Prolegomena to an Apology for Pragmatism (1906) is most pertinent.
http://www.existentialgraphs.com/peirceoneg/prolegomena.htm
[Dau quotes the opening of this at the head of one of his recent papers: "Come on, my Reader, and let us construct a diagram to illustrate the general course of thought; I mean a system of diagrammatization by means of which any course of thought can be represented with exactitude."

John Sowa has much of relevance to say related to this theme, for example, in his
http://users.bestweb.net/~sowa/ontology/contexts.htm
See, section 4 and especially, figure 7

Gary


Frithjof Dau | 1 Feb 2006 10:38
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Re: Book - "The Iconic Logic o Peirce's Graphs" by Sun-Joo Shin

Hi,

Gary is right: I have an opinion about this book :-)

Am Mittwoch, 1. Februar 2006 07:36 schrieb Gary Richmond:
> Joseph and list,
>
> Just a word more. One might want to take a look at Dau's paper
> "Mathematical Logic with Diagrams" to contextualize any comments he may
> (or may not!) have to make on this topic. See:
> http://www.dr-dau.net/Lehre/WS05_Logik/egs.pdf
First of all: Nope, this is not a paper, but a simple excerpt of my 
(forthcoming) habilitation thesis on Existential graphs. If you want
to have a glance at the thesis: I just uploaded my current draft. The 
URL is http://www.dr-dau.net/Papers/habil.pdf . I do not recommend
to look at egs.pdf (due to missing citations etc).

So here is my comment on Shin's book: It is great from the viewpoint
of diagrammtic reasoning, it is bad from a mathematicians viewpoint.

As she writes, there 'is a long-standing prejudice against diagrammatic 
systems', and she argues very clearly that a main reason is that so far,
diagrammatic systems had been evaluated in terms of symbolic logic.
This does not suit for DRs, so the result is that evaluations of this kind
strengthened the opinion that DRs cannot give rise to a formal and
effective version of mathematical logic. As the title of her book suggests,
she focuses on the iconic features of EGs in order to reengineer EGs as
a formal and iconical logic systems. Particularly, she argues that Peirce's
endoporeutic method for reading EGs was misleading, and she provides
a different reading for EGs which is better suited. To provide a simple
example: The scroll [A [B]] should be read as an implication A -> B, not
as ~(A & ~B). A graph of the form [[A] [B]] can be read in different ways,
depending on how a user is 'carving up a graph'. Depending on how a user 
perceives a graph, multiple readings as possible (for example,
~A -> B  , ~B -> A  , or   A v B ). So she provides a reading algorithm which
assigns to each EG a _set_ of formulas.
Similarly, Shin provides a different set of transformation rules for EGS. Of 
course, her rules are somewhat related to Peirce's original rules (erasure,
insertion, (de)iteration, double cut), but she tries to reformulate the rules
in order to increase their iconicity, which increases their effeciency as 
well. 
So far, I fully agree to her approach. It is well argued and easy to read,
and I enjoyed the book very much. In fact, I learned a lot about diagrammatic
reasoning in general and about iconicity in EGs.

The bad point is: Shin tries to develop EGs as formal logic, and here she 
simply fails. First of all, she does not provide any real mathematical 
definitions for EGs. And she tries to define EGs as graphical system. But
already Peirce distinguieshed between EGs (let's say as abstract entities)
and their graphical representations (termed 'replicas'). In fact, in 
deveopping any diagrammatical logic systems, these two layers have to
be separated. Later, _after_ publishing her book, she wrote a paper titled
'On Diagram Tokens and Types', together with J.~Howse et al, where she
argues that such a separation is needed (and, independently from her, I wrote 
a similar paper about this issue as well: 'Types and Tokens for Logic with 
diagrams'). I have to say that I simply do not understand how Shin could
overlook Peirce's distinction between graphs and replicas, as she carefully
read Peirce's writings  ... 
Even worse, in her (informal) elaboration of EGS,  Shin makes several 
mistakes. Her translation from EGS to formulas is sometimes wrong (she
even provides an example for her reading algorithm which yields a wrong
result). Moreover, some of her rules are not sound, and this is the worst 
thing which can happen to any calculus. Some years ago, I wrote her a letter
where I pointed out her mistakes. Later on, we hat the occasion to meet
personally, and we discussed this issue. She agreed to my critics. Again I 
have to say that I am somewhat puzzled that Shin did not provide a sufficient
mathematical elaboration of EGs: She is a philosopher, not a mathematician,
but nonetheless, she was a scholar of Barwise ...

This is a first reply to your mail, hastitly hacked (I hope it is readable). 
Any questions are appreciated.

Frithjof

-------------------------
Dr. Frithjof Dau
TU Dresden
dau@...
-------------------------
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Avril Styrman | 1 Feb 2006 11:00
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Infinite sets - finite problems (Was Re: Shibboleths for CG)

All right,

all the three problems might have the same sort of nature, but 
the only one I can try is this: Give the probability that two 
randomly chosen integers are coprime.

This def. was in Wikipedia: In mathematics, the integers a and b 
are said to be coprime or relatively prime if they have no common 
factor other than 1 and −1, or equivalently, if their greatest 
common divisor is 1.

First of all, all integers are finite, but the set of all 
integers is said to have an infinite amount of members. I cannot 
see how our random-function can choose from an infinite set. Or 
I can't see how anything can choose objectively, or truly 
randomly something from an infinite set. The random function 
requires borders, or then the random function will never stop. 
Here the concept of arbitrary is useful because we can talk 
about arbitrarily long integers. But even when the 
random-function chooses arbitrarily long integers, it needs some 
borders. So, we can only talk about a divine intervention that 
somehow chose the truly arbitrary long integers, or then they 
were not truly arbitrary at all. Currently I'm holding the belief 
that the probalility that two randomly chosen arbitrary integers 
are equal is 0, or at most arbitrarily close to 0. 

So, it requires a divine intervention (something paradoxical) to 
perform a truly random selection of an integer. We can talk about 
two arbitrarily long integers in maths, but can someone explain 
the method of the random selection of them? The random-function
must be situated in the same Platonic heaven as the infinite 
sets. This is why also the results of the probability 
calculations that require the divine sets and operations are 
situated in the same heaven. Again, we see that infinities play 
no practical role, and that is why they are uneconomical. 

This discussion has been quite fruitful. It is not even iterating 
on a local, but to a global maxime.

A

Quoting Peter Hunsberger <peter.hunsberger@...>:

> > Peter H. stated that these require infinite sets:
> > -Give the probability that two randomly chosen integers are coprime.
> > -Give the magnitude and direction of electrostatic force that one
> > stationary, electrically charged object of small dimensions exerts
> > on another.
> > -Give the solution to the differential equation describing forced
> > resonance.
> >
> > Can Peter or Chris explain what is it that requires infinite sets in
> > those? You must be able to explain it here in a way that a normal
> > person understands it. I still maintain that you can do all you need
> > to do with finite sets, except continuum hypothesis.
> 
> Depending what portion of these problems you choose to describe you
> could probably have some finite description.  However, I'll maintain
> that it wouldn't be complete.
> 
> Since you maintain it is possible, perhaps, you could show us how
> you'd give a description of one of these problems using a finite set
> of terms and relationships? No need for a precise formulation, just an
> overview of what such a set might consist of will suffice, we can then
> try and determine what such a set may or may not tell us about these
> kinds of problems...
> 
> --
> Peter Hunsberger
> ========================
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Avril Styrman | 1 Feb 2006 11:08
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Re: Shibboleths for CG

I meant that if he wants, we can also continue this off-line
since this might be an off-topic discussion, not that he is 
uninformative. But I would welcome some better instructions 
from him than to study maths. It is so wide a subject. I at 
least try to really address the issues. All issues in 
philosophy, maths, or in any are are not really complex or 
hard. They can be explained in a way that an average person 
who has an interest to then can understand them.

A

Quoting John Velman <velman@...>:

> On Tue, Jan 31, 2006 at 06:02:40PM +0200, Avril Styrman wrote:
> > Chris, you can respond off-line so that the people 
> > would not have to press the delete button so often.
> > 
> 
> I find Chris's replies interesting and informative.  I have to confess
> that
> I rarely read Avril's messages, but I do look for responses from writers
> who have a history of being informative and readable.
> 
> Deleting unwanted messages isn't a big deal, and I don't need to be
> saved
> from deletion of unwanted messages, so long as they are close to the
> topic
> of the list.
> 
> Best,
> 
> John Velman
> 
> 
> ========================
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Aldo de Moor | 1 Feb 2006 11:45
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RE: Why NOTactually use CG??

Len, 

> That is interesting, Aldo.  Can you compare that
> tool-supported system to a Wiki system for creating
> ontologies?  Such a thing has been proposed (on XML-Dev) and
> there are cross-currents to this list since there is an
> overlapping membership.

It's not hard to make a complete rigid, rule-driven approach (like many
standards efforts), nor a completely ad hoc, individual-driven approach
(like many wiki projects). The real art of developing MESSy systems is to
find the balance between creativity and productivity. Many different kinds
of conceptual patterns (e.g. workflow, normative, and quality patterns) are
needed, at the right level of specificity, and embedded in an adequate
methodology, to trigger "boundary processes". Such processes do ensure that
certain minimal input, output, and process criteria are met, while not
prescribing in too rigid a way _how_ a community should go about these
goals.

Of course, this is only part of the puzzle. There are all the classic issues
of ontology integration and alignment (see for example the never-ending
discussion about the role of upper ontologies), and user interface design
(e.g. the best way to use and present conceptual graphs). Still, I am
fascinated by the role that conceptual graphs can play not only in
representing knowledge, but also as roadmaps for guiding collaborative
processes in communities with the right degree of guidance and freedom. 

Cheers,

Aldo

==========================================================================
             e-mail: ademoor@...
  \\         phone +32-2-629 3518, fax +32-2-629 3819
 STARLab     home page: http://www.starlab.vub.ac.be/staff/ademoor/
    \\       blog: http://growingpains.blogs.com/home/

Dr. Aldo de Moor, senior researcher
STARLab, Vrije Universiteit Brussel
Pleinlaan 2, Gebouw G-10, 1050 Brussels, Belgium
==========================================================================

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G. S. Chandy | 1 Feb 2006 11:47
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Re: Why NOTactually use CG??

John F. Sowa <sowa <at> ...> writes:

> 
> GSC> "Why NOT actually use CG??"  In general,
>  > graphs are, I believe, NOT being used at all formally to help
>  > structure the prose arguments being put forth on this forum.
>  > That single step would, indeed, help remove much of the obfuscation
>  > and the confusion that too often prevails.
> 
John Sowa> It would be wonderful if we could do that.  <snip>
> Conceptual graphs are good for showing the relationships that
> connect concepts in a precisely stated sentence, in which every
> concept and relation has been predefined and stored in a complete
> ontology of every term that is needed for the discussion.
> 
> The hardest part is the analysis, debate, and negotiation
> that leads up to that stage.  Nobody has any good tools that
> can magically solve all the problems.  If anybody has any tools
> that can help with part of problem, please let us know.
> 
> John Sowa
> 
I agree with most of the contentions you've raised (in particular with those in 
the final paragraph).  

To practically work with conceptual graphs (rather, with the "structural 
graphics" realisation of CG), we really do not need to create anything like 'a 
complete ontology' - the ontology (or something very much more sophisticated) 
is already there in the minds of the observers.  All that we need to do is to 
make an enquiry of the minds confronting the problem, take those ideas (as 
representative 'elements' of the needed ontology), then use those ideas 
(structured into representations of the mental models held) as a basis to start 
tackling the problem, step by simple step.   We've observed the following to 
happen in our practice:

1) Conceptual graphics (particularly in the avatar that John Warfield has 
pioneered - "structural graphics") are simply a way of enabling people: 
-- to look at their reality; 
-- to generate 'elements' reflecting some part of that reality;
-- to integrate those elements to form 'representations' of their mental models 
about the reality
-- to compare their representations with the reality and thereby enable them to 
change their mental models where those may be mistaken;
--  to change their world in desired ways.

There's no magic tool or bullet there (and none is needed, or recommended, for 
that matter); but we do have at hand a practical way to enable individuals and 
groups arrive at a significantly enhanced understanding of the part of the real 
world in which they may have interest at the moment.

Analysis, debate, and negotiation (A-D-N) will always be there (and agreed that 
it is the hardest part).  But I have found, in practice, that our abilities to 
do this A-D-N can be significantly improved by way of using what I call "prose 
+ structural graphics" as our basic communication tool.  

Below my signature, I have pasted some of the 'Missions' to which the tools I 
write about have been applied, in practice. (Both successes and failures are 
included in this listing - we've had a fair number of failures, but they are 
becoming fewer all the time, which indicates that some 'learning' is taking 
place in our performance).

GSC
++++
Organisational Missions
===
1.	"To achieve a turnover of Rs 2000 crores, with 100 crores PAT, by 2005" 
(Main Mission of a workshop for a leading organisation in Hyderabad)
2.	"To create templates for effective Workshops in various fields" (All 
our workshops are done on basis of such templates)
3.	"To create an effective OPMS Facilitator Training Programme FTP " (This 
is one of  our internal Missions that helped us to create a Facilitator 
Training Programme.  We have been conducting, from time to time, such FTPs 
since mid 2001; thus far, about 12-15 Facilitators have been through such 
programmes.  These programmes are under continuing modification and 
improvement).
4.	"To develop an effective management leadership programme” (Under 
development)
5.	"To create the OPMS software" (This was originally an individual 
Mission belonging to GSC, which later became an organisational Mission for ILW -
 through the models developed for this Mission, our prototype software has been 
created, and this has helped me to get investors interested in getting the full-
scale version developed)
6.	"To launch a company to create the OPMS software" (This Mission led to 
formation of Interactive LogicWare Ltd, which in due course has created the 
OPMS software to its current level of development).
7.	" To become one of the leading consulting organisations in our field” 
(This will become one of ILW Missions in due course, when we go into 
consultancy proper)
8.	"To complete installation of ERP system within -- months, instead of 
the conventional 1 year" (Suggested by an ERP consultant - not yet taken up).
9.	"To complete erection of plant within 1 year - which normally might 
take 3 years" (Reliance, in particular, has already been achieving this.  I 
believe most organisational goals of this nature can be effectively compressed 
in time to achieve results previously unheard of.  The OPMS approach would 
enable people involved to see their way clearly to such time-compression - to 
give them the needed confidence to accept such a challenge)
10.	"To become a world class management education centre by 2005" (A 
Mission taken up at a workshop for a government educational institution)
11.	"To develop the ----  Library and Documentation Centre as an effective 
user- service oriented system” 
12.	"To manage unpredictable behaviour of the Railways, our single largest 
Customer” (Mission taken up at a Workshop conducted for a major private sector 
organisation)
13.	"To generate 8000 members, Rs 20 crores transactions and 20 leaders by -
------” (A Mission taken up at a workshop for a ‘services group’ operating from 
Mumbai)
14.	"To prepare a truly creative design for ILW website" (A Mission begun - 
still to be completed)
15.	"To become a Learning Organisation, exporting technology” (A Mission 
for one of our workshops) "To recruit and retain the talent we need for the 
organisation" (A Mission taken up for consideration at one of our workshops)
16.	"To become a world-beating consulting organisation within 5 years - 
growing from the major Indian software organisation it is today" (Just proposed 
as a challenge to a major Indian organisation - waiting to hear from it)

B: Individual Missions
===
17.	"To become a leading software designer in my field " (This is a Mission 
I present as a challenge to each software person who joins ILW. Out of about 18 
software people who have worked with ILW since mid-1999, at least three of them 
are still continuing with that Mission and have been progressing continuingly 
(though two of them are no longer with ILW).  All of the software people who 
took up the Mission seriously did significantly enhance their effectiveness as 
s/w designers through this OPMS process.
18.	"To propagate the OPMS approach in India and abroad" (Started in 1983, 
this Mission is still ongoing, and it led, in turn, to the two Missions 
immediately below.  To an extent, this has now become a part of the ILW 
Mission - however, ILW has its own 'strictly corporate' Missions).
19.	"To create the OPMS software" (This was originally an individual 
Mission, articulated in order to accomplish the above-noted Mission 
of "propagating OPMS.  This Mission in due course led to the Mission noted 
below of launching a company to create the OPMS software.  Today, the software 
is around 80% ready - the Mission has been transmuted into an 'organisational 
Mission').
20.	"To launch a company to create the OPMS software" (This Mission led to 
creation of Interactive LogicWare Ltd, which in due course has created the OPMS 
software to its current level of development).
21.	"To become an effective OPMS Facilitator” (This Mission constitutes the 
major exercise given as a challenge to all prospective OPMS Facilitators)
22.	"To improve my understanding of Mathematics, and thereby to improve my 
results in Math examinations"  (An OPMS Mission successfully done, using MANUAL 
modeling processes, by a student of mine several years ago, long before the 
OPMS software was created)
23.	"To get myself a good and satisfying job" (Another Mission successfully 
worked on manually, by several students of mine, before development of OPMS 
software)
24.	"To learn the 'C' language to an adequate level to work on Help Screens 
for OPMS software" (Another Mission successfully worked on before development 
of OPMS software)
25.	"To create a PowerPoint presentation of the OPMS for …" (Has been done 
for several presentations – this is an individual Mission ‘within’ the global 
OPMS Mission)
26.	"To create a PowerPoint presentation of the OPMS approach to TCS" (A 
part of the global OPMS Mission).
27.	"To find out whether I should base myself in US or in India” (A Mission 
started up by an individual)
28.	"To enhance my personal competence” (This and the next two Missions are 
a couple of GSC's regular monthly exercises within his major OPMS)
29.	"To enhance my personal effectiveness”
30.	"To enhance my personal productivity and creativity"
31.	"To become a  successful business analyst" (Started by one of the 
people we trained as Facilitators - he informs me that there is continuing and 
regular progress on this Mission) 

C: Societal Missions
===
32.	"To help develop an effective educational system in Velha Taluka, Pune 
District, through self-governance" (Workshop conducted in Pune for an NGO.  
This Mission has later been modified on discussion to No. 2 below, which would 
in due course be modified to something less than 100% - say 70% or so).
33.	"To ensure 100% enrollment, with 100% retention, in Velha schools - 
within 3 years"  (This Mission was taken up at a Workshop, which has led to a 
forthcoming 'Facilitator Training Programme' for the group - thus we feel this 
may be reckoned as the fairly successful of our societal Missions tried out 
thus far)
34.	"To help create a healthy Civil Society in India" (Workshop conducted 
at Pune for a group that had been seriously concerned about the very unhealthy 
directions of Indian civil society. This workshop then led to a workshop for 
Mission on education in Velha Taluka, noted above - however, we have not yet 
been able to proceed adequately with the needed 'Facilitator Training' on this 
critically important Mission).
35.	 Dr Reddy's Foundation: "To rehabilitate child labour in association 
with police - and enable those children into mainstream schools" (This is an 
ambitious project of Dr Reddy's Foundation, for which purpose we conducted a 
workshop and followed up by training their Facilitators - and then, with those 
Facilitators, enabled the children in 10 'model rehabilitation schools', along 
with their parents and with the teachers in those schools, to work on the 
following ambitious Missions immediately below)
36.	Mission Statement for 10 Model Schools: "To develop a vision of where 
our school will be in 10 years' time and to plan how we will get there".  (We 
conducted separate workshops for 10 'Model Schools' on this Misison.  The 
Mission and its action planning was developed by children ranging in age from 
11 to 17 years, their parents and the teachers in the schools - subsequently 
they presented their plans and their dreams to a major public meeting and to 
the press).
37.	"To Enable Large–Scale Creation of  Sustainable Livelihood" (This is a 
Mission taken up for consideration at a workshop for a Non-Governmental 
Organisation)
38.	"To ensure 90% literacy in India in 10 years” (A Mission that India 
desperately needs - can we get the 'National Literacy Mission' to take it up, 
with a MUCH more rigorous definition of literacy than what is current?) 
++++

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G. S. Chandy | 1 Feb 2006 11:58
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Re: Why NOTactually use CG?? (Was Re: Lattice of theories)

Avril Styrman <Avril.Styrman <at> ...> writes:

> 
> G.S.,
> 
> I've been wondering the same thing, but I've also used CG's 
> recently on this list. This is a conceptual graph:
> 
>   A
>  / \
> B   C
> 
> So, there is a line that is drawn from a category to another.
> When a line is drawn from category X to category Y, and when 
> X is geometrically higher than Y, then Y is a subcategory of X. <snip>
>
Hello, Avril:

Yes, I had seen those.  Those are undoubtedly CGs - BUT they are 
only 'theoretical CGs' I'm afraid.  What's needed is to take real elements, 
e.g. "To understand management science effectively" (or math; or physics; or 
ontology, or whatever); then probe the mind needing to accomplish the chosen 
Mission, then integrate the ideas of that mind into effective CGs showing, 
specifically, how those ideas are related.  On comparing those CGs (which 
represent the mental models of the observers) with the real world, those 
observers may be enabled to correct their mental models where needed, then take 
action to accomplish the Mission.  (This is, I agree, a very brief, inadequate 
description of a very complex interaction between the observer minds and the 
real world.

Which is why I recommend it should always be done practically, not 
theoretically.  I can provide you the prototype software that can enable the 
practice, if you desire.  No fees/charges for the prototype.

GSC  

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Ulrik Petersen | 1 Feb 2006 12:54

Ann.: Prolog+CG version 2.0.12 released

List,

We here at Aalborg University have released Prolog+CG version 2.0.12.  
Prolog+CG was originally written by Prof. Dr. Adil Kabbaj, a well-known 
member of the CG-community.  We at Aalborg University now have the role 
of maintainership of this "legacy" version of Prolog+CG.  However, a 
better version exists, namely the Prolog+CG that is part of the Amine 
Platform.

Prolog+CG has a homepage here:

http://prologpluscg.sourceforge.net

Amine Platform has a homepage here:

http://amine-platform.sourceforge.net

Changes to Prolog+CG over version 2.0.11 include:

- Bugfixes galore
- Two new predicates: seed/1 and rnd/3 which implement a random number 
generator.

Ulrik Petersen

--

-- 
Ulrik Petersen, PhD candidate, MA, B.Sc.
University of Aalborg, Denmark
http://ulrikp.org -- homepage
http://emdros.org -- Emdros is a corpus query system

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Gmane