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<DIV><FONT size=4>Dear Sung,</FONT></DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><FONT size=4>I like your approach but I think it is only a part of the
whole.</FONT></DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><FONT size=4>1. <STRONG><EM>The shadows are real</EM></STRONG> but only a
part of the whole. What is needed is a systematic research from what they are
part.</FONT></DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><FONT size=4>2. About the whole now I will use the category theory I have
seen you like:</FONT></DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><FONT size=4><EM>CAT<SUB>A</SUB> => F => CAT<SUB>B</SUB> => G
=> CAT<SUB>C</SUB></EM></FONT></DIV>
<DIV><FONT size=4><EM></EM></FONT> </DIV>
<DIV><FONT size=4><EM>CAT<SUB>A</SUB> => H =>
CAT<SUB>C</SUB></EM></FONT></DIV>
<DIV><EM><SUB><FONT size=4></FONT></SUB></EM> </DIV>
<DIV><EM><SUB><FONT size=4>F ○ G = H</FONT></SUB></EM></DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><FONT size=4>where</FONT></DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><FONT size=4><EM>F</EM>, <EM>G</EM>, and <EM>H</EM> are
<EM><STRONG>functors</STRONG></EM>;</FONT></DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><FONT style="size: 4"><FONT size=4><EM>CAT<SUB>II</SUB> <FONT
style="face: symbol" face=Symbol>Î</FONT> CAT</EM> is the category of
<EM><STRONG>information interaction
categories</STRONG></EM>;</FONT></FONT></DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><FONT size=4><EM>CAT<SUB>A </SUB><FONT face=Symbol>Î</FONT>
CAT<SUB>II</SUB></EM> and <EM>CAT<SUB>C</SUB> <FONT face=Symbol>Î</FONT>
CAT<SUB>II</SUB></EM> are the categories of <STRONG><EM>mental models’
categories</EM></STRONG>;</FONT></DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><FONT size=4><EM>CAT<SUB>B</SUB> <FONT face=Symbol>Î</FONT>
CAT<SUB>II</SUB></EM> is the category of <STRONG><EM>models’
categories</EM></STRONG>.</FONT></DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV>
<DIV><FONT size=4>Of course, I will explain this in natural language (English)
in further posts. </FONT></DIV></DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><FONT size=4><IMG class="wlEmoticon wlEmoticon-smile"
style="BORDER-TOP-STYLE: none; BORDER-BOTTOM-STYLE: none; BORDER-RIGHT-STYLE: none; BORDER-LEFT-STYLE: none"
alt=Smile src="cid:29E9B6F1BDD74A49A16EA81D6BCC4DDF@VaioMarkov"></FONT></DIV>
<DIV>
<DIV><FONT size=4>;</FONT></DIV></DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><FONT size=4>Dear Karl,</FONT></DIV>
<DIV><FONT size=4>Thank you for your post – it is very useful and I will discus
it in further posts.</FONT></DIV>
<DIV><FONT size=4>;</FONT></DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><FONT size=4>Dear Pedro,</FONT></DIV>
<DIV><FONT size=4>Thank you for your nice words. </FONT></DIV>
<DIV><FONT size=4>Mathematics is very good to be used when all know the
mathematical languages.</FONT></DIV>
<DIV><FONT size=4>Unfortunately, only a few scientists are involved in the
mathematical reasoning, in one hand, and, as the Bourbaki experiment had shown,
not everything is ready to be formalized. </FONT></DIV>
<DIV><FONT size=4>How much of FIS members understood what I had written
above?</FONT></DIV>
<DIV><FONT size=4>The way starts from philosophical reasoning and only
some times ends in mathematical formal explanations.</FONT></DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><FONT size=4>Friendly greetings</FONT></DIV>
<DIV><FONT size=4>Krassimir</FONT></DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><FONT size=4></FONT> </DIV>
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