<div dir="ltr"><div>I see a collection of Karl's papers at <a href="https://urldefense.com/v3/__https://www.researchgate.net/profile/Karl-Javorszky__;!!D9dNQwwGXtA!UbKGD8XEyM9zI8aWu3wSh_euFlQRmfb2yHeSiaIUtFKBYQo6kZa3EhSb2F9c8IfNmA0B_VZEP9vIaT0zIQU-7ZE$">https://www.researchgate.net/profile/Karl-Javorszky</a></div><div><br></div><div>Is this list reasonably complete? Or are there important topics which ResearchGate does not have?</div><div><br></div><div>What other sources exist, such as conference abstracts, photographs, biographies?</div><div><br></div><div>Malcolm Dean</div><div>Los Angeles</div><br><div class="gmail_quote gmail_quote_container"><div dir="ltr" class="gmail_attr">On Tue, Oct 28, 2025 at 4:00 AM <<a href="mailto:fis-request@listas.unizar.es">fis-request@listas.unizar.es</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">Send Fis mailing list submissions to<br>
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1. Re: Karl Javorsky (Louis Kauffman)<br>
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Message: 1<br>
Date: Mon, 27 Oct 2025 16:15:48 -0500<br>
From: Louis Kauffman <<a href="mailto:loukau@gmail.com" target="_blank">loukau@gmail.com</a>><br>
To: fis <<a href="mailto:fis@listas.unizar.es" target="_blank">fis@listas.unizar.es</a>><br>
Cc: fis <<a href="mailto:fis@listas.unizar.es" target="_blank">fis@listas.unizar.es</a>><br>
Subject: Re: [Fis] Karl Javorsky<br>
Message-ID: <<a href="mailto:5721F892-D74A-45C0-867B-3DC2B75301F8@gmail.com" target="_blank">5721F892-D74A-45C0-867B-3DC2B75301F8@gmail.com</a>><br>
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Dear FIS,<br>
It is sad that Karl has left. My experience has been that I understood a bit more each time I heard him.<br>
The basic themes he was working with were number in relation to order (Sumerian) and pattern or grouping (Arkadian).<br>
For seeing how number is fundamental in our descriptions of the world these two ways of holding number are very important.<br>
We can explore Karl?s themes by starting with and illustrating for ourselves how these themes work. For example, consider a drawing of 5 dots by 5 dots,<br>
A 5 x 5 square. So I have illustrated the number 25 as a special grouping of 25 dots in the form of a square.<br>
And in examining this grouping you see that it, in an ordered way, divides into 25 = 1 + 3 + 5 + 7 + 9, a sum of consecutive odd numbers.<br>
(The actual drawing is deleted from this email because FIS is very Sumerian and cannot accept pictorial information.)<br>
In this way the square grouping is related to an ordered sequence and we see from this that ANY square number is a sum of consecutive odd numbers.<br>
We see this because the grouping shows us how this order occurs for any grouping of this form. This is just one small example of the intimate relationship of the Arkadian and the Sumerian points of view. <br>
<br>
We can work with these themes by starting with the ideas and making our own illustrations. Then, if we wish, we can look at Karl?s more technical writing. His particular examples are, in fact, examples not so far from these, but constructed in his own viewpoint, which is quite original. He is concerned particularly with a kind of crossover in the handling of number between grouping and order, and with a finite range that, for him, appears significant in that it allows for fluidity in this translation. We handle numbers of sizes above and below his optimal range. But I think that in order to do that we are in fact ?forced? to use signs and symbols. Our need to be able have this fluidity pushes us into language as reference to pushes us into the situation where language operates on and we think through and about language itself. There is much more to say here.<br>
<br>
The matter of the NAND gate or the NOR gate (as suggested by Kate Kauffman) seems to me to be closer to considerations with Spencer-Brown, where the ?mark? is a generalization of a NOR gate (for Spencer-Brown) and equivalently a NAND gate (for Charles Sanders Peirce). We have <ABC> = Not(A or B or C) for example.<br>
And indeed the theme of order and grouping comes in here in a very fundamental way because it is only the group of values A,B,C and not their order that is important to the mark as operator. The mark as operator acts on groups without order. And order arises from the acts of operation. When we identify with the mark ("the mark and the observer are identical in the form?) we are identifying with our Arkadian/Sumerian role as intermediators of Order and Pattern.<br>
There is more to say here and we can return to it.<br>
Very best,<br>
Lou<br><br>_______________________________________________<br>
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End of Fis Digest, Vol 126, Issue 10<br>
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