Semantics and Mentography

A picture is worth a thousand words.
A picture of Mt. Raineer (figure 1)
 Above you see a picture of a mountain.  I am pointing at that mountain by sending you this picture.  I wish that my picture  will represent to you the real mountain in the state of Washington at the North West corner of the United States where I live.  I use the picture here only because it is impossible for me to put the real mountain on this page and point to it. Believe me, if I could, I would.  We in the state of Washington call that real mountain that you see a picture of  here, "Mt. Raineer".  Hopefully now you will let me use the words "Mt. Raineer" to point to that real mountain instead of always uing the picture.   And with you cooperation we can agree that we have named that mountain.

Well this might be a bit confusing, so let me see if I can draw you a picture of what I mean:
 

A picture of a head with a small picture of Mt. Raineer and an arrow pointing out of the head to a picrture of the real mountain and the word "Mt Raineer" with a similar arrow.  (figure 2)
Again with your cooperation, the diagram of the head in figure 2 respresents your real head and what is contained within it's outline represents the contents of your mind.  You can plainly see that I have put the "real" Mt Raineer outside of you head because I am quite sure it won't fit inside of it.  But I have also put a small picuture of the mountain inside your head because I suspect that you have such an image there in the memory of your mind.  Obviously those two pictures represent quite different things in my diagram.   That difference has been the topic of centuries of philosophical debate and is quite interesting but is outside the scope of this paper.   For my  purposes here I merely want to establish that my picture (my representation of Mt Raineer) points to a diffeent thing when it is contained within the outline that I use to represent the confines of you mind, than when it is outside that outline.  The former being private to you and the latter being public and something big and tall that even I could fall off of.    We have agreed upon a name that works as well as the picture, so I have put that in parallel in the diagram.  

With your indulgance I would like to further develop this diagraming method of talking about things where we can draw a circle around a representation and by doing so portray representations of representations accuratly and without ambiguity.  Let me call this diagraming method mentography and define it as the graphical representation of mind.  This diagramming method is not substantually different in purpose or in method from the Conceptual Graphs  developed by  John F. Sowa [1] or the RDF model developed by the W3C [2].   All these graphic models and the mentography introduced in this paper can mathematically represented by labeled directed graphs [3].

I have drawn arrows between the images indicating that the one image represents the other.  That is the smaller image of the mountain stands within your mind representing the real mountain outside your mind.  We will always use arrows in our mentographs to represent  such relationships between things.  Since there are many diffeent types of relationships we label always label our arrows with the their relationship type.

now if you have been following my style you should be screaming that i cannot possibly draw those arrows in aqny real way except perhaps in a sureal diagram like the one above.

[1] http://www.bestweb.net/~sowa/cg/
[2] http://www.w3.org/TR/REC-rdf-syntax/#model
[3] http://robustAi.net/ai/graph1.htm